---
_id: '2843'
abstract:
- lang: eng
text: 'Mathematical objects can be measured unambiguously, but not so objects from
our physical world. Even the total length of tubelike shapes has its difficulties.
We introduce a combination of geometric, probabilistic, and topological methods
to design a stable length estimate for tube-like shapes; that is: one that is
insensitive to small shape changes.'
alternative_title:
- LNCS
author:
- first_name: Herbert
full_name: Edelsbrunner, Herbert
id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
last_name: Edelsbrunner
orcid: 0000-0002-9823-6833
- first_name: Florian
full_name: Pausinger, Florian
id: 2A77D7A2-F248-11E8-B48F-1D18A9856A87
last_name: Pausinger
orcid: 0000-0002-8379-3768
citation:
ama: 'Edelsbrunner H, Pausinger F. Stable length estimates of tube-like shapes.
In: 17th IAPR International Conference on Discrete Geometry for Computer Imagery.
Vol 7749. Springer; 2013:XV-XIX. doi:10.1007/978-3-642-37067-0'
apa: 'Edelsbrunner, H., & Pausinger, F. (2013). Stable length estimates of tube-like
shapes. In 17th IAPR International Conference on Discrete Geometry for Computer
Imagery (Vol. 7749, pp. XV–XIX). Seville, Spain: Springer. https://doi.org/10.1007/978-3-642-37067-0'
chicago: Edelsbrunner, Herbert, and Florian Pausinger. “Stable Length Estimates
of Tube-like Shapes.” In 17th IAPR International Conference on Discrete Geometry
for Computer Imagery, 7749:XV–XIX. Springer, 2013. https://doi.org/10.1007/978-3-642-37067-0.
ieee: H. Edelsbrunner and F. Pausinger, “Stable length estimates of tube-like shapes,”
in 17th IAPR International Conference on Discrete Geometry for Computer Imagery,
Seville, Spain, 2013, vol. 7749, pp. XV–XIX.
ista: 'Edelsbrunner H, Pausinger F. 2013. Stable length estimates of tube-like shapes.
17th IAPR International Conference on Discrete Geometry for Computer Imagery.
DGCI: Discrete Geometry for Computer Imagery, LNCS, vol. 7749, XV–XIX.'
mla: Edelsbrunner, Herbert, and Florian Pausinger. “Stable Length Estimates of Tube-like
Shapes.” 17th IAPR International Conference on Discrete Geometry for Computer
Imagery, vol. 7749, Springer, 2013, pp. XV–XIX, doi:10.1007/978-3-642-37067-0.
short: H. Edelsbrunner, F. Pausinger, in:, 17th IAPR International Conference on
Discrete Geometry for Computer Imagery, Springer, 2013, pp. XV–XIX.
conference:
end_date: 2013-03-22
location: Seville, Spain
name: 'DGCI: Discrete Geometry for Computer Imagery'
start_date: 2013-03-20
date_created: 2018-12-11T11:59:53Z
date_published: 2013-02-21T00:00:00Z
date_updated: 2023-02-23T10:35:00Z
day: '21'
department:
- _id: HeEd
doi: 10.1007/978-3-642-37067-0
intvolume: ' 7749'
language:
- iso: eng
month: '02'
oa_version: None
page: XV - XIX
publication: 17th IAPR International Conference on Discrete Geometry for Computer
Imagery
publication_status: published
publisher: Springer
publist_id: '3952'
quality_controlled: '1'
related_material:
record:
- id: '2255'
relation: later_version
status: public
scopus_import: 1
status: public
title: Stable length estimates of tube-like shapes
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 7749
year: '2013'
...
---
_id: '2859'
abstract:
- lang: eng
text: Given a continuous function f:X-R on a topological space, we consider the
preimages of intervals and their homology groups and show how to read the ranks
of these groups from the extended persistence diagram of f. In addition, we quantify
the robustness of the homology classes under perturbations of f using well groups,
and we show how to read the ranks of these groups from the same extended persistence
diagram. The special case X=R3 has ramifications in the fields of medical imaging
and scientific visualization.
arxiv: 1
author:
- first_name: Paul
full_name: Bendich, Paul
id: 43F6EC54-F248-11E8-B48F-1D18A9856A87
last_name: Bendich
- first_name: Herbert
full_name: Edelsbrunner, Herbert
id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
last_name: Edelsbrunner
orcid: 0000-0002-9823-6833
- first_name: Dmitriy
full_name: Morozov, Dmitriy
last_name: Morozov
- first_name: Amit
full_name: Patel, Amit
id: 34A254A0-F248-11E8-B48F-1D18A9856A87
last_name: Patel
citation:
ama: Bendich P, Edelsbrunner H, Morozov D, Patel A. Homology and robustness of level
and interlevel sets. Homology, Homotopy and Applications. 2013;15(1):51-72.
doi:10.4310/HHA.2013.v15.n1.a3
apa: Bendich, P., Edelsbrunner, H., Morozov, D., & Patel, A. (2013). Homology
and robustness of level and interlevel sets. Homology, Homotopy and Applications.
International Press. https://doi.org/10.4310/HHA.2013.v15.n1.a3
chicago: Bendich, Paul, Herbert Edelsbrunner, Dmitriy Morozov, and Amit Patel. “Homology
and Robustness of Level and Interlevel Sets.” Homology, Homotopy and Applications.
International Press, 2013. https://doi.org/10.4310/HHA.2013.v15.n1.a3.
ieee: P. Bendich, H. Edelsbrunner, D. Morozov, and A. Patel, “Homology and robustness
of level and interlevel sets,” Homology, Homotopy and Applications, vol.
15, no. 1. International Press, pp. 51–72, 2013.
ista: Bendich P, Edelsbrunner H, Morozov D, Patel A. 2013. Homology and robustness
of level and interlevel sets. Homology, Homotopy and Applications. 15(1), 51–72.
mla: Bendich, Paul, et al. “Homology and Robustness of Level and Interlevel Sets.”
Homology, Homotopy and Applications, vol. 15, no. 1, International Press,
2013, pp. 51–72, doi:10.4310/HHA.2013.v15.n1.a3.
short: P. Bendich, H. Edelsbrunner, D. Morozov, A. Patel, Homology, Homotopy and
Applications 15 (2013) 51–72.
date_created: 2018-12-11T11:59:58Z
date_published: 2013-05-01T00:00:00Z
date_updated: 2021-01-12T07:00:18Z
day: '01'
department:
- _id: HeEd
doi: 10.4310/HHA.2013.v15.n1.a3
external_id:
arxiv:
- '1102.3389'
intvolume: ' 15'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1102.3389v1
month: '05'
oa: 1
oa_version: Preprint
page: 51 - 72
publication: Homology, Homotopy and Applications
publication_status: published
publisher: International Press
publist_id: '3930'
quality_controlled: '1'
scopus_import: 1
status: public
title: Homology and robustness of level and interlevel sets
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 15
year: '2013'
...
---
_id: '2887'
abstract:
- lang: eng
text: 'Root system growth and development is highly plastic and is influenced by
the surrounding environment. Roots frequently grow in heterogeneous environments
that include interactions from neighboring plants and physical impediments in
the rhizosphere. To investigate how planting density and physical objects affect
root system growth, we grew rice in a transparent gel system in close proximity
with another plant or a physical object. Root systems were imaged and reconstructed
in three dimensions. Root-root interaction strength was calculated using quantitative
metrics that characterize the extent towhich the reconstructed root systems overlap
each other. Surprisingly, we found the overlap of root systems of the same genotype
was significantly higher than that of root systems of different genotypes. Root
systems of the same genotype tended to grow toward each other but those of different
genotypes appeared to avoid each other. Shoot separation experiments excluded
the possibility of aerial interactions, suggesting root communication. Staggered
plantings indicated that interactions likely occur at root tips in close proximity.
Recognition of obstacles also occurred through root tips, but through physical
contact in a size-dependent manner. These results indicate that root systems use
two different forms of communication to recognize objects and alter root architecture:
root-root recognition, possibly mediated through root exudates, and root-object
recognition mediated by physical contact at the root tips. This finding suggests
that root tips act as local sensors that integrate rhizosphere information into
global root architectural changes.'
article_processing_charge: No
article_type: original
author:
- first_name: Suqin
full_name: Fang, Suqin
last_name: Fang
- first_name: Randy
full_name: Clark, Randy
last_name: Clark
- first_name: Ying
full_name: Zheng, Ying
last_name: Zheng
- first_name: Anjali
full_name: Iyer Pascuzzi, Anjali
last_name: Iyer Pascuzzi
- first_name: Joshua
full_name: Weitz, Joshua
last_name: Weitz
- first_name: Leon
full_name: Kochian, Leon
last_name: Kochian
- first_name: Herbert
full_name: Edelsbrunner, Herbert
id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
last_name: Edelsbrunner
orcid: 0000-0002-9823-6833
- first_name: Hong
full_name: Liao, Hong
last_name: Liao
- first_name: Philip
full_name: Benfey, Philip
last_name: Benfey
citation:
ama: Fang S, Clark R, Zheng Y, et al. Genotypic recognition and spatial responses
by rice roots. PNAS. 2013;110(7):2670-2675. doi:10.1073/pnas.1222821110
apa: Fang, S., Clark, R., Zheng, Y., Iyer Pascuzzi, A., Weitz, J., Kochian, L.,
… Benfey, P. (2013). Genotypic recognition and spatial responses by rice roots.
PNAS. National Academy of Sciences. https://doi.org/10.1073/pnas.1222821110
chicago: Fang, Suqin, Randy Clark, Ying Zheng, Anjali Iyer Pascuzzi, Joshua Weitz,
Leon Kochian, Herbert Edelsbrunner, Hong Liao, and Philip Benfey. “Genotypic Recognition
and Spatial Responses by Rice Roots.” PNAS. National Academy of Sciences,
2013. https://doi.org/10.1073/pnas.1222821110.
ieee: S. Fang et al., “Genotypic recognition and spatial responses by rice
roots,” PNAS, vol. 110, no. 7. National Academy of Sciences, pp. 2670–2675,
2013.
ista: Fang S, Clark R, Zheng Y, Iyer Pascuzzi A, Weitz J, Kochian L, Edelsbrunner
H, Liao H, Benfey P. 2013. Genotypic recognition and spatial responses by rice
roots. PNAS. 110(7), 2670–2675.
mla: Fang, Suqin, et al. “Genotypic Recognition and Spatial Responses by Rice Roots.”
PNAS, vol. 110, no. 7, National Academy of Sciences, 2013, pp. 2670–75,
doi:10.1073/pnas.1222821110.
short: S. Fang, R. Clark, Y. Zheng, A. Iyer Pascuzzi, J. Weitz, L. Kochian, H. Edelsbrunner,
H. Liao, P. Benfey, PNAS 110 (2013) 2670–2675.
date_created: 2018-12-11T12:00:09Z
date_published: 2013-02-12T00:00:00Z
date_updated: 2021-01-12T07:00:29Z
day: '12'
department:
- _id: HeEd
doi: 10.1073/pnas.1222821110
external_id:
pmid:
- '23362379'
intvolume: ' 110'
issue: '7'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3574932/
month: '02'
oa: 1
oa_version: Published Version
page: 2670 - 2675
pmid: 1
publication: PNAS
publication_status: published
publisher: National Academy of Sciences
publist_id: '3872'
quality_controlled: '1'
scopus_import: 1
status: public
title: Genotypic recognition and spatial responses by rice roots
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 110
year: '2013'
...
---
_id: '2901'
abstract:
- lang: eng
text: ' We introduce the M-modes problem for graphical models: predicting the M
label configurations of highest probability that are at the same time local maxima
of the probability landscape. M-modes have multiple possible applications: because
they are intrinsically diverse, they provide a principled alternative to non-maximum
suppression techniques for structured prediction, they can act as codebook vectors
for quantizing the configuration space, or they can form component centers for
mixture model approximation. We present two algorithms for solving the M-modes
problem. The first algorithm solves the problem in polynomial time when the underlying
graphical model is a simple chain. The second algorithm solves the problem for
junction chains. In synthetic and real dataset, we demonstrate how M-modes can
improve the performance of prediction. We also use the generated modes as a tool
to understand the topography of the probability distribution of configurations,
for example with relation to the training set size and amount of noise in the
data. '
alternative_title:
- ' JMLR: W&CP'
author:
- first_name: Chao
full_name: Chen, Chao
id: 3E92416E-F248-11E8-B48F-1D18A9856A87
last_name: Chen
- first_name: Vladimir
full_name: Kolmogorov, Vladimir
id: 3D50B0BA-F248-11E8-B48F-1D18A9856A87
last_name: Kolmogorov
- first_name: Zhu
full_name: Yan, Zhu
last_name: Yan
- first_name: Dimitris
full_name: Metaxas, Dimitris
last_name: Metaxas
- first_name: Christoph
full_name: Lampert, Christoph
id: 40C20FD2-F248-11E8-B48F-1D18A9856A87
last_name: Lampert
orcid: 0000-0001-8622-7887
citation:
ama: 'Chen C, Kolmogorov V, Yan Z, Metaxas D, Lampert C. Computing the M most probable
modes of a graphical model. In: Vol 31. JMLR; 2013:161-169.'
apa: 'Chen, C., Kolmogorov, V., Yan, Z., Metaxas, D., & Lampert, C. (2013).
Computing the M most probable modes of a graphical model (Vol. 31, pp. 161–169).
Presented at the AISTATS: Conference on Uncertainty in Artificial Intelligence,
Scottsdale, AZ, United States: JMLR.'
chicago: Chen, Chao, Vladimir Kolmogorov, Zhu Yan, Dimitris Metaxas, and Christoph
Lampert. “Computing the M Most Probable Modes of a Graphical Model,” 31:161–69.
JMLR, 2013.
ieee: 'C. Chen, V. Kolmogorov, Z. Yan, D. Metaxas, and C. Lampert, “Computing the
M most probable modes of a graphical model,” presented at the AISTATS: Conference
on Uncertainty in Artificial Intelligence, Scottsdale, AZ, United States, 2013,
vol. 31, pp. 161–169.'
ista: 'Chen C, Kolmogorov V, Yan Z, Metaxas D, Lampert C. 2013. Computing the M
most probable modes of a graphical model. AISTATS: Conference on Uncertainty
in Artificial Intelligence, JMLR: W&CP, vol. 31, 161–169.'
mla: Chen, Chao, et al. Computing the M Most Probable Modes of a Graphical Model.
Vol. 31, JMLR, 2013, pp. 161–69.
short: C. Chen, V. Kolmogorov, Z. Yan, D. Metaxas, C. Lampert, in:, JMLR, 2013,
pp. 161–169.
conference:
end_date: 2013-05-01
location: Scottsdale, AZ, United States
name: ' AISTATS: Conference on Uncertainty in Artificial Intelligence'
start_date: 2013-04-29
date_created: 2018-12-11T12:00:14Z
date_published: 2013-01-01T00:00:00Z
date_updated: 2021-01-12T07:00:35Z
day: '01'
department:
- _id: HeEd
- _id: VlKo
- _id: ChLa
intvolume: ' 31'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://jmlr.org/proceedings/papers/v31/chen13a.html
month: '01'
oa: 1
oa_version: None
page: 161 - 169
publication_status: published
publisher: JMLR
publist_id: '3846'
quality_controlled: '1'
scopus_import: 1
status: public
title: Computing the M most probable modes of a graphical model
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 31
year: '2013'
...
---
_id: '2906'
abstract:
- lang: eng
text: "Motivated by an application in cell biology, we describe an extension of
the kinetic data structures framework from Delaunay triangulations to fixed-radius
alpha complexes. Our algorithm is implemented\r\nusing CGAL, following the exact
geometric computation paradigm. We report on several\r\ntechniques to accelerate
the computation that turn our implementation applicable to the underlying biological\r\nproblem."
alternative_title:
- ALENEX
author:
- first_name: Michael
full_name: Kerber, Michael
id: 36E4574A-F248-11E8-B48F-1D18A9856A87
last_name: Kerber
orcid: 0000-0002-8030-9299
- first_name: Herbert
full_name: Edelsbrunner, Herbert
id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
last_name: Edelsbrunner
orcid: 0000-0002-9823-6833
citation:
ama: 'Kerber M, Edelsbrunner H. 3D kinetic alpha complexes and their implementation.
In: 2013 Proceedings of the 15th Workshop on Algorithm Engineering and Experiments.
Society of Industrial and Applied Mathematics; 2013:70-77. doi:10.1137/1.9781611972931.6'
apa: 'Kerber, M., & Edelsbrunner, H. (2013). 3D kinetic alpha complexes and
their implementation. In 2013 Proceedings of the 15th Workshop on Algorithm
Engineering and Experiments (pp. 70–77). New Orleans, LA, United States: Society
of Industrial and Applied Mathematics. https://doi.org/10.1137/1.9781611972931.6'
chicago: Kerber, Michael, and Herbert Edelsbrunner. “3D Kinetic Alpha Complexes
and Their Implementation.” In 2013 Proceedings of the 15th Workshop on Algorithm
Engineering and Experiments, 70–77. Society of Industrial and Applied Mathematics,
2013. https://doi.org/10.1137/1.9781611972931.6.
ieee: M. Kerber and H. Edelsbrunner, “3D kinetic alpha complexes and their implementation,”
in 2013 Proceedings of the 15th Workshop on Algorithm Engineering and Experiments,
New Orleans, LA, United States, 2013, pp. 70–77.
ista: 'Kerber M, Edelsbrunner H. 2013. 3D kinetic alpha complexes and their implementation.
2013 Proceedings of the 15th Workshop on Algorithm Engineering and Experiments.
ALENEX: Algorithm Engineering and Experiments, ALENEX, , 70–77.'
mla: Kerber, Michael, and Herbert Edelsbrunner. “3D Kinetic Alpha Complexes and
Their Implementation.” 2013 Proceedings of the 15th Workshop on Algorithm Engineering
and Experiments, Society of Industrial and Applied Mathematics, 2013, pp.
70–77, doi:10.1137/1.9781611972931.6.
short: M. Kerber, H. Edelsbrunner, in:, 2013 Proceedings of the 15th Workshop on
Algorithm Engineering and Experiments, Society of Industrial and Applied Mathematics,
2013, pp. 70–77.
conference:
end_date: 2013-01-07
location: New Orleans, LA, United States
name: 'ALENEX: Algorithm Engineering and Experiments'
start_date: 2013-01-07
date_created: 2018-12-11T12:00:16Z
date_published: 2013-01-01T00:00:00Z
date_updated: 2021-01-12T07:00:36Z
day: '01'
ddc:
- '500'
department:
- _id: HeEd
doi: 10.1137/1.9781611972931.6
file:
- access_level: open_access
checksum: a15a3ba22df9445731507f3e06c9fcee
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:08:57Z
date_updated: 2020-07-14T12:45:52Z
file_id: '4720'
file_name: IST-2016-547-v1+1_2013-P-08-MedusaII.pdf
file_size: 403013
relation: main_file
file_date_updated: 2020-07-14T12:45:52Z
has_accepted_license: '1'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Submitted Version
page: 70 - 77
publication: 2013 Proceedings of the 15th Workshop on Algorithm Engineering and Experiments
publication_status: published
publisher: Society of Industrial and Applied Mathematics
publist_id: '3841'
pubrep_id: '547'
quality_controlled: '1'
scopus_import: 1
status: public
title: 3D kinetic alpha complexes and their implementation
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2013'
...
---
_id: '2939'
abstract:
- lang: eng
text: In this paper, we present the first output-sensitive algorithm to compute
the persistence diagram of a filtered simplicial complex. For any Γ > 0, it
returns only those homology classes with persistence at least Γ. Instead of the
classical reduction via column operations, our algorithm performs rank computations
on submatrices of the boundary matrix. For an arbitrary constant δ ∈ (0, 1), the
running time is O (C (1 - δ) Γ R d (n) log n), where C (1 - δ) Γ is the number
of homology classes with persistence at least (1 - δ) Γ, n is the total number
of simplices in the complex, d its dimension, and R d (n) is the complexity of
computing the rank of an n × n matrix with O (d n) nonzero entries. Depending
on the choice of the rank algorithm, this yields a deterministic O (C (1 - δ)
Γ n 2.376) algorithm, an O (C (1 - δ) Γ n 2.28) Las-Vegas algorithm, or an O (C
(1 - δ) Γ n 2 + ε{lunate}) Monte-Carlo algorithm for an arbitrary ε{lunate} >
0. The space complexity of the Monte-Carlo version is bounded by O (d n) = O (n
log n).
acknowledgement: The authors thank Herbert Edelsbrunner for many helpful discussions
and suggestions. Moreover, they are grateful for the careful reviews that helped
to improve the quality of the paper.
author:
- first_name: Chao
full_name: Chen, Chao
id: 3E92416E-F248-11E8-B48F-1D18A9856A87
last_name: Chen
- first_name: Michael
full_name: Kerber, Michael
id: 36E4574A-F248-11E8-B48F-1D18A9856A87
last_name: Kerber
orcid: 0000-0002-8030-9299
citation:
ama: 'Chen C, Kerber M. An output sensitive algorithm for persistent homology. Computational
Geometry: Theory and Applications. 2013;46(4):435-447. doi:10.1016/j.comgeo.2012.02.010'
apa: 'Chen, C., & Kerber, M. (2013). An output sensitive algorithm for persistent
homology. Computational Geometry: Theory and Applications. Elsevier. https://doi.org/10.1016/j.comgeo.2012.02.010'
chicago: 'Chen, Chao, and Michael Kerber. “An Output Sensitive Algorithm for Persistent
Homology.” Computational Geometry: Theory and Applications. Elsevier, 2013.
https://doi.org/10.1016/j.comgeo.2012.02.010.'
ieee: 'C. Chen and M. Kerber, “An output sensitive algorithm for persistent homology,”
Computational Geometry: Theory and Applications, vol. 46, no. 4. Elsevier,
pp. 435–447, 2013.'
ista: 'Chen C, Kerber M. 2013. An output sensitive algorithm for persistent homology.
Computational Geometry: Theory and Applications. 46(4), 435–447.'
mla: 'Chen, Chao, and Michael Kerber. “An Output Sensitive Algorithm for Persistent
Homology.” Computational Geometry: Theory and Applications, vol. 46, no.
4, Elsevier, 2013, pp. 435–47, doi:10.1016/j.comgeo.2012.02.010.'
short: 'C. Chen, M. Kerber, Computational Geometry: Theory and Applications 46 (2013)
435–447.'
date_created: 2018-12-11T12:00:27Z
date_published: 2013-05-01T00:00:00Z
date_updated: 2023-02-23T11:24:10Z
day: '01'
department:
- _id: HeEd
doi: 10.1016/j.comgeo.2012.02.010
intvolume: ' 46'
issue: '4'
language:
- iso: eng
month: '05'
oa_version: None
page: 435 - 447
publication: 'Computational Geometry: Theory and Applications'
publication_status: published
publisher: Elsevier
publist_id: '3796'
quality_controlled: '1'
related_material:
record:
- id: '3367'
relation: earlier_version
status: public
scopus_import: 1
status: public
title: An output sensitive algorithm for persistent homology
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 46
year: '2013'
...
---
_id: '6588'
abstract:
- lang: eng
text: First we note that the best polynomial approximation to vertical bar x vertical
bar on the set, which consists of an interval on the positive half-axis and a
point on the negative half-axis, can be given by means of the classical Chebyshev
polynomials. Then we explore the cases when a solution of the related problem
on two intervals can be given in elementary functions.
acknowledgement: "This work is supported by the Austrian Science Fund (FWF), Project
P22025-N18.\r\n"
article_processing_charge: No
article_type: original
author:
- first_name: Florian
full_name: Pausinger, Florian
id: 2A77D7A2-F248-11E8-B48F-1D18A9856A87
last_name: Pausinger
orcid: 0000-0002-8379-3768
citation:
ama: Pausinger F. Elementary solutions of the Bernstein problem on two intervals.
Journal of Mathematical Physics, Analysis, Geometry. 2012;8(1):63-78.
apa: Pausinger, F. (2012). Elementary solutions of the Bernstein problem on two
intervals. Journal of Mathematical Physics, Analysis, Geometry. B. Verkin
Institute for Low Temperature Physics and Engineering.
chicago: Pausinger, Florian. “Elementary Solutions of the Bernstein Problem on Two
Intervals.” Journal of Mathematical Physics, Analysis, Geometry. B. Verkin
Institute for Low Temperature Physics and Engineering, 2012.
ieee: F. Pausinger, “Elementary solutions of the Bernstein problem on two intervals,”
Journal of Mathematical Physics, Analysis, Geometry, vol. 8, no. 1. B.
Verkin Institute for Low Temperature Physics and Engineering, pp. 63–78, 2012.
ista: Pausinger F. 2012. Elementary solutions of the Bernstein problem on two intervals.
Journal of Mathematical Physics, Analysis, Geometry. 8(1), 63–78.
mla: Pausinger, Florian. “Elementary Solutions of the Bernstein Problem on Two Intervals.”
Journal of Mathematical Physics, Analysis, Geometry, vol. 8, no. 1, B.
Verkin Institute for Low Temperature Physics and Engineering, 2012, pp. 63–78.
short: F. Pausinger, Journal of Mathematical Physics, Analysis, Geometry 8 (2012)
63–78.
date_created: 2019-06-27T08:16:56Z
date_published: 2012-01-01T00:00:00Z
date_updated: 2023-10-16T09:41:31Z
day: '01'
department:
- _id: HeEd
external_id:
isi:
- '000301173600004'
intvolume: ' 8'
isi: 1
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://mi.mathnet.ru/eng/jmag525
month: '01'
oa: 1
oa_version: Published Version
page: 63-78
publication: Journal of Mathematical Physics, Analysis, Geometry
publication_identifier:
issn:
- 1812-9471
publication_status: published
publisher: B. Verkin Institute for Low Temperature Physics and Engineering
quality_controlled: '1'
scopus_import: '1'
status: public
title: Elementary solutions of the Bernstein problem on two intervals
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 8
year: '2012'
...
---
_id: '2849'
author:
- first_name: Herbert
full_name: Edelsbrunner, Herbert
id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
last_name: Edelsbrunner
orcid: 0000-0002-9823-6833
- first_name: Nataliya
full_name: Strelkova, Nataliya
last_name: Strelkova
citation:
ama: Edelsbrunner H, Strelkova N. On the configuration space of Steiner minimal
trees. Russian Mathematical Surveys. 2012;67(6):1167-1168. doi:10.1070/RM2012v067n06ABEH004820
apa: Edelsbrunner, H., & Strelkova, N. (2012). On the configuration space of
Steiner minimal trees. Russian Mathematical Surveys. IOP Publishing Ltd.
https://doi.org/10.1070/RM2012v067n06ABEH004820
chicago: Edelsbrunner, Herbert, and Nataliya Strelkova. “On the Configuration Space
of Steiner Minimal Trees.” Russian Mathematical Surveys. IOP Publishing
Ltd., 2012. https://doi.org/10.1070/RM2012v067n06ABEH004820.
ieee: H. Edelsbrunner and N. Strelkova, “On the configuration space of Steiner minimal
trees,” Russian Mathematical Surveys, vol. 67, no. 6. IOP Publishing Ltd.,
pp. 1167–1168, 2012.
ista: Edelsbrunner H, Strelkova N. 2012. On the configuration space of Steiner minimal
trees. Russian Mathematical Surveys. 67(6), 1167–1168.
mla: Edelsbrunner, Herbert, and Nataliya Strelkova. “On the Configuration Space
of Steiner Minimal Trees.” Russian Mathematical Surveys, vol. 67, no. 6,
IOP Publishing Ltd., 2012, pp. 1167–68, doi:10.1070/RM2012v067n06ABEH004820.
short: H. Edelsbrunner, N. Strelkova, Russian Mathematical Surveys 67 (2012) 1167–1168.
date_created: 2018-12-11T11:59:55Z
date_published: 2012-01-01T00:00:00Z
date_updated: 2021-01-12T07:00:13Z
day: '01'
ddc:
- '000'
department:
- _id: HeEd
doi: 10.1070/RM2012v067n06ABEH004820
file:
- access_level: open_access
checksum: 44ee8d173487e8ed41a51136816bbeb4
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:14:26Z
date_updated: 2020-07-14T12:45:51Z
file_id: '5078'
file_name: IST-2016-546-v1+1_2014-J-05-SteinerMinTrees.pdf
file_size: 392021
relation: main_file
file_date_updated: 2020-07-14T12:45:51Z
has_accepted_license: '1'
intvolume: ' 67'
issue: '6'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Submitted Version
page: 1167 - 1168
publication: Russian Mathematical Surveys
publication_status: published
publisher: IOP Publishing Ltd.
publist_id: '3943'
pubrep_id: '546'
quality_controlled: '1'
scopus_import: 1
status: public
title: On the configuration space of Steiner minimal trees
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 67
year: '2012'
...
---
_id: '2902'
abstract:
- lang: eng
text: 'We present an algorithm for simplifying linear cartographic objects and results
obtained with a computer program implementing this algorithm. '
article_processing_charge: No
article_type: original
author:
- first_name: Herbert
full_name: Edelsbrunner, Herbert
id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
last_name: Edelsbrunner
orcid: 0000-0002-9823-6833
- first_name: Oleg
full_name: Musin, Oleg
last_name: Musin
- first_name: Alexey
full_name: Ukhalov, Alexey
last_name: Ukhalov
- first_name: Olga
full_name: Yakimova, Olga
last_name: Yakimova
- first_name: Vladislav
full_name: Alexeev, Vladislav
last_name: Alexeev
- first_name: Victoriya
full_name: Bogaevskaya, Victoriya
last_name: Bogaevskaya
- first_name: Andrey
full_name: Gorohov, Andrey
last_name: Gorohov
- first_name: Margarita
full_name: Preobrazhenskaya, Margarita
last_name: Preobrazhenskaya
citation:
ama: Edelsbrunner H, Musin O, Ukhalov A, et al. Fractal and computational geometry
for generalizing cartographic objects. Modeling and Analysis of Information
Systems. 2012;19(6):152-160.
apa: Edelsbrunner, H., Musin, O., Ukhalov, A., Yakimova, O., Alexeev, V., Bogaevskaya,
V., … Preobrazhenskaya, M. (2012). Fractal and computational geometry for generalizing
cartographic objects. Modeling and Analysis of Information Systems. Russian
Academy of Sciences.
chicago: Edelsbrunner, Herbert, Oleg Musin, Alexey Ukhalov, Olga Yakimova, Vladislav
Alexeev, Victoriya Bogaevskaya, Andrey Gorohov, and Margarita Preobrazhenskaya.
“Fractal and computational geometry for generalizing cartographic objects.” Modeling
and Analysis of Information Systems. Russian Academy of Sciences, 2012.
ieee: H. Edelsbrunner et al., “Fractal and computational geometry for generalizing
cartographic objects,” Modeling and Analysis of Information Systems, vol.
19, no. 6. Russian Academy of Sciences, pp. 152–160, 2012.
ista: Edelsbrunner H, Musin O, Ukhalov A, Yakimova O, Alexeev V, Bogaevskaya V,
Gorohov A, Preobrazhenskaya M. 2012. Fractal and computational geometry for generalizing
cartographic objects. Modeling and Analysis of Information Systems. 19(6), 152–160.
mla: Edelsbrunner, Herbert, et al. “Fractal and computational geometry for generalizing
cartographic objects.” Modeling and Analysis of Information Systems, vol.
19, no. 6, Russian Academy of Sciences, 2012, pp. 152–60.
short: H. Edelsbrunner, O. Musin, A. Ukhalov, O. Yakimova, V. Alexeev, V. Bogaevskaya,
A. Gorohov, M. Preobrazhenskaya, Modeling and Analysis of Information Systems
19 (2012) 152–160.
date_created: 2018-12-11T12:00:15Z
date_published: 2012-12-01T00:00:00Z
date_updated: 2023-10-18T07:34:45Z
day: '01'
department:
- _id: HeEd
intvolume: ' 19'
issue: '6'
language:
- iso: rus
main_file_link:
- open_access: '1'
url: http://mi.mathnet.ru/eng/mais280
month: '12'
oa: 1
oa_version: Published Version
page: 152 - 160
publication: Modeling and Analysis of Information Systems
publication_status: published
publisher: Russian Academy of Sciences
publist_id: '3845'
quality_controlled: '1'
status: public
title: Fractal and computational geometry for generalizing cartographic objects
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 19
year: '2012'
...
---
_id: '2903'
abstract:
- lang: eng
text: In order to enjoy a digital version of the Jordan Curve Theorem, it is common
to use the closed topology for the foreground and the open topology for the background
of a 2-dimensional binary image. In this paper, we introduce a single topology
that enjoys this theorem for all thresholds decomposing a real-valued image into
foreground and background. This topology is easy to construct and it generalizes
to n-dimensional images.
author:
- first_name: Herbert
full_name: Edelsbrunner, Herbert
id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
last_name: Edelsbrunner
orcid: 0000-0002-9823-6833
- first_name: Olga
full_name: Symonova, Olga
id: 3C0C7BC6-F248-11E8-B48F-1D18A9856A87
last_name: Symonova
citation:
ama: 'Edelsbrunner H, Symonova O. The adaptive topology of a digital image. In:
IEEE; 2012:41-48. doi:10.1109/ISVD.2012.11'
apa: 'Edelsbrunner, H., & Symonova, O. (2012). The adaptive topology of a digital
image (pp. 41–48). Presented at the ISVD: International Symposium on Voronoi Diagrams
in Science and Engineering, New Brunswick, NJ, USA : IEEE. https://doi.org/10.1109/ISVD.2012.11'
chicago: Edelsbrunner, Herbert, and Olga Symonova. “The Adaptive Topology of a Digital
Image,” 41–48. IEEE, 2012. https://doi.org/10.1109/ISVD.2012.11.
ieee: 'H. Edelsbrunner and O. Symonova, “The adaptive topology of a digital image,”
presented at the ISVD: International Symposium on Voronoi Diagrams in Science
and Engineering, New Brunswick, NJ, USA , 2012, pp. 41–48.'
ista: 'Edelsbrunner H, Symonova O. 2012. The adaptive topology of a digital image.
ISVD: International Symposium on Voronoi Diagrams in Science and Engineering,
41–48.'
mla: Edelsbrunner, Herbert, and Olga Symonova. The Adaptive Topology of a Digital
Image. IEEE, 2012, pp. 41–48, doi:10.1109/ISVD.2012.11.
short: H. Edelsbrunner, O. Symonova, in:, IEEE, 2012, pp. 41–48.
conference:
end_date: 2012-06-29
location: 'New Brunswick, NJ, USA '
name: 'ISVD: International Symposium on Voronoi Diagrams in Science and Engineering'
start_date: 2012-06-27
date_created: 2018-12-11T12:00:15Z
date_published: 2012-08-06T00:00:00Z
date_updated: 2021-01-12T07:00:35Z
day: '06'
ddc:
- '000'
department:
- _id: HeEd
- _id: MaJö
doi: 10.1109/ISVD.2012.11
file:
- access_level: open_access
checksum: 444869a4e8abf07834f88b6e5cb5e9c3
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:09:41Z
date_updated: 2020-07-14T12:45:52Z
file_id: '4765'
file_name: IST-2016-545-v1+1_2012-P-10-AdaptiveTopology.pdf
file_size: 760548
relation: main_file
file_date_updated: 2020-07-14T12:45:52Z
has_accepted_license: '1'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Submitted Version
page: 41 - 48
publication_status: published
publisher: IEEE
publist_id: '3844'
pubrep_id: '545'
quality_controlled: '1'
scopus_import: 1
status: public
title: The adaptive topology of a digital image
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
year: '2012'
...
---
_id: '2904'
abstract:
- lang: eng
text: Generalized van der Corput sequences are onedimensional, infinite sequences
in the unit interval. They are generated from permutations in integer base b and
are the building blocks of the multi-dimensional Halton sequences. Motivated by
recent progress of Atanassov on the uniform distribution behavior of Halton sequences,
we study, among others, permutations of the form P(i) = ai (mod b) for coprime
integers a and b. We show that multipliers a that either divide b - 1 or b + 1
generate van der Corput sequences with weak distribution properties. We give explicit
lower bounds for the asymptotic distribution behavior of these sequences and relate
them to sequences generated from the identity permutation in smaller bases, which
are, due to Faure, the weakest distributed generalized van der Corput sequences.
- lang: fre
text: Les suites de Van der Corput généralisées sont dessuites unidimensionnelles
et infinies dans l’intervalle de l’unité.Elles sont générées par permutations
des entiers de la basebetsont les éléments constitutifs des suites multi-dimensionnelles
deHalton. Suites aux progrès récents d’Atanassov concernant le com-portement de
distribution uniforme des suites de Halton nous nousintéressons aux permutations
de la formuleP(i) =ai(modb)pour les entiers premiers entre euxaetb. Dans cet
article nousidentifions des multiplicateursagénérant des suites de Van derCorput
ayant une mauvaise distribution. Nous donnons les bornesinférieures explicites
pour cette distribution asymptotique asso-ciée à ces suites et relions ces dernières
aux suites générées parpermutation d’identité, qui sont, selon Faure, les moins
bien dis-tribuées des suites généralisées de Van der Corput dans une basedonnée.
article_processing_charge: No
article_type: original
author:
- first_name: Florian
full_name: Pausinger, Florian
id: 2A77D7A2-F248-11E8-B48F-1D18A9856A87
last_name: Pausinger
orcid: 0000-0002-8379-3768
citation:
ama: Pausinger F. Weak multipliers for generalized van der Corput sequences. Journal
de Theorie des Nombres des Bordeaux. 2012;24(3):729-749. doi:10.5802/jtnb.819
apa: Pausinger, F. (2012). Weak multipliers for generalized van der Corput sequences.
Journal de Theorie Des Nombres Des Bordeaux. Université de Bordeaux. https://doi.org/10.5802/jtnb.819
chicago: Pausinger, Florian. “Weak Multipliers for Generalized van Der Corput Sequences.”
Journal de Theorie Des Nombres Des Bordeaux. Université de Bordeaux, 2012.
https://doi.org/10.5802/jtnb.819.
ieee: F. Pausinger, “Weak multipliers for generalized van der Corput sequences,”
Journal de Theorie des Nombres des Bordeaux, vol. 24, no. 3. Université
de Bordeaux, pp. 729–749, 2012.
ista: Pausinger F. 2012. Weak multipliers for generalized van der Corput sequences.
Journal de Theorie des Nombres des Bordeaux. 24(3), 729–749.
mla: Pausinger, Florian. “Weak Multipliers for Generalized van Der Corput Sequences.”
Journal de Theorie Des Nombres Des Bordeaux, vol. 24, no. 3, Université
de Bordeaux, 2012, pp. 729–49, doi:10.5802/jtnb.819.
short: F. Pausinger, Journal de Theorie Des Nombres Des Bordeaux 24 (2012) 729–749.
date_created: 2018-12-11T12:00:15Z
date_published: 2012-01-01T00:00:00Z
date_updated: 2023-10-18T07:53:47Z
day: '01'
ddc:
- '510'
department:
- _id: HeEd
doi: 10.5802/jtnb.819
file:
- access_level: open_access
checksum: 6954bfe9d7f4119fbdda7a11cf0f5c67
content_type: application/pdf
creator: dernst
date_created: 2020-05-11T12:40:39Z
date_updated: 2020-07-14T12:45:52Z
file_id: '7819'
file_name: JTNB_2012__24_3_729_0.pdf
file_size: 819275
relation: main_file
file_date_updated: 2020-07-14T12:45:52Z
has_accepted_license: '1'
intvolume: ' 24'
issue: '3'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
page: 729 - 749
publication: Journal de Theorie des Nombres des Bordeaux
publication_identifier:
eissn:
- 2118-8572
issn:
- 1246-7405
publication_status: published
publisher: Université de Bordeaux
publist_id: '3843'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Weak multipliers for generalized van der Corput sequences
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 24
year: '2012'
...
---
_id: '2912'
article_processing_charge: No
author:
- first_name: Herbert
full_name: Edelsbrunner, Herbert
id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
last_name: Edelsbrunner
orcid: 0000-0002-9823-6833
- first_name: Nataliya
full_name: Strelkova, Nataliya
last_name: Strelkova
citation:
ama: Edelsbrunner H, Strelkova N. On the configuration space for the shortest networks.
Russian Mathematical Surveys. 2012;67(6):1167–1168. doi:10.4213/rm9503
apa: Edelsbrunner, H., & Strelkova, N. (2012). On the configuration space for
the shortest networks. Russian Mathematical Surveys. Russian Academy of
Sciences. https://doi.org/10.4213/rm9503
chicago: Edelsbrunner, Herbert, and Nataliya Strelkova. “On the Configuration Space
for the Shortest Networks.” Russian Mathematical Surveys. Russian Academy
of Sciences, 2012. https://doi.org/10.4213/rm9503.
ieee: H. Edelsbrunner and N. Strelkova, “On the configuration space for the shortest
networks,” Russian Mathematical Surveys, vol. 67, no. 6. Russian Academy
of Sciences, pp. 1167–1168, 2012.
ista: Edelsbrunner H, Strelkova N. 2012. On the configuration space for the shortest
networks. Russian Mathematical Surveys. 67(6), 1167–1168.
mla: Edelsbrunner, Herbert, and Nataliya Strelkova. “On the Configuration Space
for the Shortest Networks.” Russian Mathematical Surveys, vol. 67, no.
6, Russian Academy of Sciences, 2012, pp. 1167–1168, doi:10.4213/rm9503.
short: H. Edelsbrunner, N. Strelkova, Russian Mathematical Surveys 67 (2012) 1167–1168.
date_created: 2018-12-11T12:00:18Z
date_published: 2012-10-01T00:00:00Z
date_updated: 2023-10-17T11:40:39Z
day: '01'
department:
- _id: HeEd
doi: 10.4213/rm9503
intvolume: ' 67'
issue: '6'
language:
- iso: eng
month: '10'
oa_version: None
page: 1167–1168
publication: Russian Mathematical Surveys
publication_status: published
publisher: Russian Academy of Sciences
publist_id: '3831'
quality_controlled: '1'
status: public
title: On the configuration space for the shortest networks
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 67
year: '2012'
...
---
_id: '2941'
author:
- first_name: Nikolai
full_name: Dolbilin, Nikolai
last_name: Dolbilin
- first_name: Herbert
full_name: Edelsbrunner, Herbert
id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
last_name: Edelsbrunner
orcid: 0000-0002-9823-6833
- first_name: Oleg
full_name: Musin, Oleg
last_name: Musin
citation:
ama: Dolbilin N, Edelsbrunner H, Musin O. On the optimality of functionals over
triangulations of Delaunay sets. Russian Mathematical Surveys. 2012;67(4):781-783.
doi:10.1070/RM2012v067n04ABEH004807
apa: Dolbilin, N., Edelsbrunner, H., & Musin, O. (2012). On the optimality of
functionals over triangulations of Delaunay sets. Russian Mathematical Surveys.
IOP Publishing. https://doi.org/10.1070/RM2012v067n04ABEH004807
chicago: Dolbilin, Nikolai, Herbert Edelsbrunner, and Oleg Musin. “On the Optimality
of Functionals over Triangulations of Delaunay Sets.” Russian Mathematical
Surveys. IOP Publishing, 2012. https://doi.org/10.1070/RM2012v067n04ABEH004807.
ieee: N. Dolbilin, H. Edelsbrunner, and O. Musin, “On the optimality of functionals
over triangulations of Delaunay sets,” Russian Mathematical Surveys, vol.
67, no. 4. IOP Publishing, pp. 781–783, 2012.
ista: Dolbilin N, Edelsbrunner H, Musin O. 2012. On the optimality of functionals
over triangulations of Delaunay sets. Russian Mathematical Surveys. 67(4), 781–783.
mla: Dolbilin, Nikolai, et al. “On the Optimality of Functionals over Triangulations
of Delaunay Sets.” Russian Mathematical Surveys, vol. 67, no. 4, IOP Publishing,
2012, pp. 781–83, doi:10.1070/RM2012v067n04ABEH004807.
short: N. Dolbilin, H. Edelsbrunner, O. Musin, Russian Mathematical Surveys 67 (2012)
781–783.
date_created: 2018-12-11T12:00:28Z
date_published: 2012-11-01T00:00:00Z
date_updated: 2021-01-12T07:39:55Z
day: '01'
ddc:
- '510'
department:
- _id: HeEd
doi: 10.1070/RM2012v067n04ABEH004807
file:
- access_level: open_access
checksum: 389a5ae53d6347de36c3468034f2821d
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:16:49Z
date_updated: 2020-07-14T12:45:55Z
file_id: '5239'
file_name: IST-2013-132-v1+1_2012-J-04-Functional-E.pdf
file_size: 253816
relation: main_file
file_date_updated: 2020-07-14T12:45:55Z
has_accepted_license: '1'
intvolume: ' 67'
issue: '4'
language:
- iso: eng
month: '11'
oa: 1
oa_version: Submitted Version
page: 781 - 783
publication: Russian Mathematical Surveys
publication_status: published
publisher: IOP Publishing
publist_id: '3792'
pubrep_id: '132'
quality_controlled: '1'
scopus_import: 1
status: public
title: On the optimality of functionals over triangulations of Delaunay sets
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 67
year: '2012'
...
---
_id: '2971'
abstract:
- lang: eng
text: 'We study the task of interactive semantic labeling of a segmentation hierarchy.
To this end we propose a framework interleaving two components: an automatic labeling
step, based on a Conditional Random Field whose dependencies are defined by the
inclusion tree of the segmentation hierarchy, and an interaction step that integrates
incremental input from a human user. Evaluated on two distinct datasets, the proposed
interactive approach efficiently integrates human interventions and illustrates
the advantages of structured prediction in an interactive framework. '
author:
- first_name: Georg
full_name: Zankl, Georg
last_name: Zankl
- first_name: Yll
full_name: Haxhimusa, Yll
last_name: Haxhimusa
- first_name: Adrian
full_name: Ion, Adrian
id: 29F89302-F248-11E8-B48F-1D18A9856A87
last_name: Ion
citation:
ama: 'Zankl G, Haxhimusa Y, Ion A. Interactive labeling of image segmentation hierarchies.
In: Vol 7476. Springer; 2012:11-20. doi:10.1007/978-3-642-32717-9_2'
apa: 'Zankl, G., Haxhimusa, Y., & Ion, A. (2012). Interactive labeling of image
segmentation hierarchies (Vol. 7476, pp. 11–20). Presented at the Pattern Recognition,
Graz, Austria: Springer. https://doi.org/10.1007/978-3-642-32717-9_2'
chicago: Zankl, Georg, Yll Haxhimusa, and Adrian Ion. “Interactive Labeling of Image
Segmentation Hierarchies,” 7476:11–20. Springer, 2012. https://doi.org/10.1007/978-3-642-32717-9_2.
ieee: G. Zankl, Y. Haxhimusa, and A. Ion, “Interactive labeling of image segmentation
hierarchies,” presented at the Pattern Recognition, Graz, Austria, 2012, vol.
7476, pp. 11–20.
ista: Zankl G, Haxhimusa Y, Ion A. 2012. Interactive labeling of image segmentation
hierarchies. Pattern Recognition vol. 7476, 11–20.
mla: Zankl, Georg, et al. Interactive Labeling of Image Segmentation Hierarchies.
Vol. 7476, Springer, 2012, pp. 11–20, doi:10.1007/978-3-642-32717-9_2.
short: G. Zankl, Y. Haxhimusa, A. Ion, in:, Springer, 2012, pp. 11–20.
conference:
end_date: 2012-08-31
location: Graz, Austria
name: Pattern Recognition
start_date: 2012-08-28
date_created: 2018-12-11T12:00:37Z
date_published: 2012-01-01T00:00:00Z
date_updated: 2021-01-12T07:40:10Z
day: '01'
department:
- _id: HeEd
doi: 10.1007/978-3-642-32717-9_2
intvolume: ' 7476'
language:
- iso: eng
month: '01'
oa_version: None
page: 11 - 20
publication_status: published
publisher: Springer
publist_id: '3737'
quality_controlled: '1'
scopus_import: 1
status: public
title: Interactive labeling of image segmentation hierarchies
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 7476
year: '2012'
...
---
_id: '3115'
abstract:
- lang: eng
text: 'We consider the offset-deconstruction problem: Given a polygonal shape Q
with n vertices, can it be expressed, up to a tolerance ε in Hausdorff distance,
as the Minkowski sum of another polygonal shape P with a disk of fixed radius?
If it does, we also seek a preferably simple-looking solution P; then, P''s offset
constitutes an accurate, vertex-reduced, and smoothened approximation of Q. We
give an O(nlogn)-time exact decision algorithm that handles any polygonal shape,
assuming the real-RAM model of computation. A variant of the algorithm, which
we have implemented using the cgal library, is based on rational arithmetic and
answers the same deconstruction problem up to an uncertainty parameter δ its running
time additionally depends on δ. If the input shape is found to be approximable,
this algorithm also computes an approximate solution for the problem. It also
allows us to solve parameter-optimization problems induced by the offset-deconstruction
problem. For convex shapes, the complexity of the exact decision algorithm drops
to O(n), which is also the time required to compute a solution P with at most
one more vertex than a vertex-minimal one.'
acknowledgement: "We thank Eyal Flato (Plataine Ltd.) for raising the offset-deconstruction
problem in connection with wood cutting. We also thank Tim Bretl (UIUC) for suggesting
the digital-pen offset-deconstruction problem. This work has been supported in part
by the Israel Science Foundation (grant no. 1102/11), by the German–Israeli Foundation
(grant no. 969/07), by the Hermann Minkowski–Minerva Center for Geometry at Tel
Aviv University, and by the EU Project under Contract No. 255827 (CGL—Computational
Geometry Learning).\r\n"
arxiv: 1
author:
- first_name: Eric
full_name: Berberich, Eric
last_name: Berberich
- first_name: Dan
full_name: Halperin, Dan
last_name: Halperin
- first_name: Michael
full_name: Kerber, Michael
id: 36E4574A-F248-11E8-B48F-1D18A9856A87
last_name: Kerber
orcid: 0000-0002-8030-9299
- first_name: Roza
full_name: Pogalnikova, Roza
last_name: Pogalnikova
citation:
ama: Berberich E, Halperin D, Kerber M, Pogalnikova R. Deconstructing approximate
offsets. Discrete & Computational Geometry. 2012;48(4):964-989. doi:10.1007/s00454-012-9441-5
apa: Berberich, E., Halperin, D., Kerber, M., & Pogalnikova, R. (2012). Deconstructing
approximate offsets. Discrete & Computational Geometry. Springer. https://doi.org/10.1007/s00454-012-9441-5
chicago: Berberich, Eric, Dan Halperin, Michael Kerber, and Roza Pogalnikova. “Deconstructing
Approximate Offsets.” Discrete & Computational Geometry. Springer,
2012. https://doi.org/10.1007/s00454-012-9441-5.
ieee: E. Berberich, D. Halperin, M. Kerber, and R. Pogalnikova, “Deconstructing
approximate offsets,” Discrete & Computational Geometry, vol. 48, no.
4. Springer, pp. 964–989, 2012.
ista: Berberich E, Halperin D, Kerber M, Pogalnikova R. 2012. Deconstructing approximate
offsets. Discrete & Computational Geometry. 48(4), 964–989.
mla: Berberich, Eric, et al. “Deconstructing Approximate Offsets.” Discrete &
Computational Geometry, vol. 48, no. 4, Springer, 2012, pp. 964–89, doi:10.1007/s00454-012-9441-5.
short: E. Berberich, D. Halperin, M. Kerber, R. Pogalnikova, Discrete & Computational
Geometry 48 (2012) 964–989.
date_created: 2018-12-11T12:01:28Z
date_published: 2012-12-01T00:00:00Z
date_updated: 2023-02-23T11:22:30Z
day: '01'
department:
- _id: HeEd
doi: 10.1007/s00454-012-9441-5
external_id:
arxiv:
- '1109.2158'
intvolume: ' 48'
issue: '4'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1109.2158
month: '12'
oa: 1
oa_version: Preprint
page: 964 - 989
publication: Discrete & Computational Geometry
publication_status: published
publisher: Springer
publist_id: '3584'
quality_controlled: '1'
related_material:
record:
- id: '3329'
relation: earlier_version
status: public
scopus_import: 1
status: public
title: Deconstructing approximate offsets
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 48
year: '2012'
...
---
_id: '3120'
abstract:
- lang: eng
text: We introduce a strategy based on Kustin-Miller unprojection that allows us
to construct many hundreds of Gorenstein codimension 4 ideals with 9 × 16 resolutions
(that is, nine equations and sixteen first syzygies). Our two basic games are
called Tom and Jerry; the main application is the biregular construction of most
of the anticanonically polarised Mori Fano 3-folds of Altinok's thesis. There
are 115 cases whose numerical data (in effect, the Hilbert series) allow a Type
I projection. In every case, at least one Tom and one Jerry construction works,
providing at least two deformation families of quasismooth Fano 3-folds having
the same numerics but different topology. © 2012 Copyright Foundation Compositio
Mathematica.
acknowledgement: This research is supported by the Korean Government WCU Grant R33-2008-000-10101-0.
author:
- first_name: Gavin
full_name: Brown, Gavin
last_name: Brown
- first_name: Michael
full_name: Kerber, Michael
id: 36E4574A-F248-11E8-B48F-1D18A9856A87
last_name: Kerber
orcid: 0000-0002-8030-9299
- first_name: Miles
full_name: Reid, Miles
last_name: Reid
citation:
ama: Brown G, Kerber M, Reid M. Fano 3 folds in codimension 4 Tom and Jerry Part
I. Compositio Mathematica. 2012;148(4):1171-1194. doi:10.1112/S0010437X11007226
apa: Brown, G., Kerber, M., & Reid, M. (2012). Fano 3 folds in codimension 4
Tom and Jerry Part I. Compositio Mathematica. Cambridge University Press.
https://doi.org/10.1112/S0010437X11007226
chicago: Brown, Gavin, Michael Kerber, and Miles Reid. “Fano 3 Folds in Codimension
4 Tom and Jerry Part I.” Compositio Mathematica. Cambridge University Press,
2012. https://doi.org/10.1112/S0010437X11007226.
ieee: G. Brown, M. Kerber, and M. Reid, “Fano 3 folds in codimension 4 Tom and Jerry
Part I,” Compositio Mathematica, vol. 148, no. 4. Cambridge University
Press, pp. 1171–1194, 2012.
ista: Brown G, Kerber M, Reid M. 2012. Fano 3 folds in codimension 4 Tom and Jerry
Part I. Compositio Mathematica. 148(4), 1171–1194.
mla: Brown, Gavin, et al. “Fano 3 Folds in Codimension 4 Tom and Jerry Part I.”
Compositio Mathematica, vol. 148, no. 4, Cambridge University Press, 2012,
pp. 1171–94, doi:10.1112/S0010437X11007226.
short: G. Brown, M. Kerber, M. Reid, Compositio Mathematica 148 (2012) 1171–1194.
date_created: 2018-12-11T12:01:30Z
date_published: 2012-07-01T00:00:00Z
date_updated: 2021-01-12T07:41:12Z
day: '01'
department:
- _id: HeEd
doi: 10.1112/S0010437X11007226
intvolume: ' 148'
issue: '4'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1009.4313
month: '07'
oa: 1
oa_version: Preprint
page: 1171 - 1194
publication: Compositio Mathematica
publication_status: published
publisher: Cambridge University Press
publist_id: '3579'
quality_controlled: '1'
scopus_import: 1
status: public
title: Fano 3 folds in codimension 4 Tom and Jerry Part I
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 148
year: '2012'
...
---
_id: '3127'
abstract:
- lang: eng
text: "When searching for characteristic subpatterns in potentially noisy graph
data, it appears self-evident that having multiple observations would be better
than having just one. However, it turns out that the inconsistencies introduced
when different graph instances have different edge sets pose a serious challenge.
In this work we address this challenge for the problem of finding maximum weighted
cliques.\r\n We introduce the concept of most persistent soft-clique. This
is subset of vertices, that 1) is almost fully or at least densely connected,
2) occurs in all or almost all graph instances, and 3) has the maximum weight.
We present a measure of clique-ness, that essentially counts the number of edge
missing to make a subset of vertices into a clique. With this measure, we show
that the problem of finding the most persistent soft-clique problem can be cast
either as: a) a max-min two person game optimization problem, or b) a min-min
soft margin optimization problem. Both formulations lead to the same solution
when using a partial Lagrangian method to solve the optimization problems. By
experiments on synthetic data and on real social network data, we show that the
proposed method is able to reliably find soft cliques in graph data, even if that
is distorted by random noise or unreliable observations."
article_processing_charge: No
author:
- first_name: Novi
full_name: Quadrianto, Novi
last_name: Quadrianto
- first_name: Christoph
full_name: Lampert, Christoph
id: 40C20FD2-F248-11E8-B48F-1D18A9856A87
last_name: Lampert
orcid: 0000-0001-8622-7887
- first_name: Chao
full_name: Chen, Chao
id: 3E92416E-F248-11E8-B48F-1D18A9856A87
last_name: Chen
citation:
ama: 'Quadrianto N, Lampert C, Chen C. The most persistent soft-clique in a set
of sampled graphs. In: Proceedings of the 29th International Conference on
Machine Learning. ML Research Press; 2012:211-218.'
apa: 'Quadrianto, N., Lampert, C., & Chen, C. (2012). The most persistent soft-clique
in a set of sampled graphs. In Proceedings of the 29th International Conference
on Machine Learning (pp. 211–218). Edinburgh, United Kingdom: ML Research
Press.'
chicago: Quadrianto, Novi, Christoph Lampert, and Chao Chen. “The Most Persistent
Soft-Clique in a Set of Sampled Graphs.” In Proceedings of the 29th International
Conference on Machine Learning, 211–18. ML Research Press, 2012.
ieee: N. Quadrianto, C. Lampert, and C. Chen, “The most persistent soft-clique in
a set of sampled graphs,” in Proceedings of the 29th International Conference
on Machine Learning, Edinburgh, United Kingdom, 2012, pp. 211–218.
ista: 'Quadrianto N, Lampert C, Chen C. 2012. The most persistent soft-clique in
a set of sampled graphs. Proceedings of the 29th International Conference on Machine
Learning. ICML: International Conference on Machine Learning, 211–218.'
mla: Quadrianto, Novi, et al. “The Most Persistent Soft-Clique in a Set of Sampled
Graphs.” Proceedings of the 29th International Conference on Machine Learning,
ML Research Press, 2012, pp. 211–18.
short: N. Quadrianto, C. Lampert, C. Chen, in:, Proceedings of the 29th International
Conference on Machine Learning, ML Research Press, 2012, pp. 211–218.
conference:
end_date: 2012-07-01
location: Edinburgh, United Kingdom
name: 'ICML: International Conference on Machine Learning'
start_date: 2012-06-26
date_created: 2018-12-11T12:01:33Z
date_published: 2012-06-01T00:00:00Z
date_updated: 2023-10-17T11:55:06Z
day: '01'
department:
- _id: ChLa
- _id: HeEd
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1206.4652
month: '06'
oa: 1
oa_version: Preprint
page: 211-218
publication: Proceedings of the 29th International Conference on Machine Learning
publication_status: published
publisher: ML Research Press
publist_id: '3572'
quality_controlled: '1'
scopus_import: '1'
status: public
title: The most persistent soft-clique in a set of sampled graphs
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2012'
...
---
_id: '3129'
abstract:
- lang: eng
text: "Let K be a simplicial complex and g the rank of its p-th homology group Hp(K)
defined with ℤ2 coefficients. We show that we can compute a basis H of Hp(K) and
annotate each p-simplex of K with a binary vector of length g with the following
property: the annotations, summed over all p-simplices in any p-cycle z, provide
the coordinate vector of the homology class [z] in the basis H. The basis and
the annotations for all simplices can be computed in O(n ω ) time, where n is
the size of K and ω < 2.376 is a quantity so that two n×n matrices can be multiplied
in O(n ω ) time. The precomputed annotations permit answering queries about the
independence or the triviality of p-cycles efficiently.\r\n\r\nUsing annotations
of edges in 2-complexes, we derive better algorithms for computing optimal basis
and optimal homologous cycles in 1 - dimensional homology. Specifically, for computing
an optimal basis of H1(K) , we improve the previously known time complexity from
O(n 4) to O(n ω + n 2 g ω − 1). Here n denotes the size of the 2-skeleton of
K and g the rank of H1(K) . Computing an optimal cycle homologous to a given 1-cycle
is NP-hard even for surfaces and an algorithm taking 2 O(g) nlogn time is known
for surfaces. We extend this algorithm to work with arbitrary 2-complexes in O(n
ω ) + 2 O(g) n 2logn time using annotations.\r\n"
alternative_title:
- LNCS
arxiv: 1
author:
- first_name: Oleksiy
full_name: Busaryev, Oleksiy
last_name: Busaryev
- first_name: Sergio
full_name: Cabello, Sergio
last_name: Cabello
- first_name: Chao
full_name: Chen, Chao
id: 3E92416E-F248-11E8-B48F-1D18A9856A87
last_name: Chen
- first_name: Tamal
full_name: Dey, Tamal
last_name: Dey
- first_name: Yusu
full_name: Wang, Yusu
last_name: Wang
citation:
ama: 'Busaryev O, Cabello S, Chen C, Dey T, Wang Y. Annotating simplices with a
homology basis and its applications. In: Vol 7357. Springer; 2012:189-200. doi:10.1007/978-3-642-31155-0_17'
apa: 'Busaryev, O., Cabello, S., Chen, C., Dey, T., & Wang, Y. (2012). Annotating
simplices with a homology basis and its applications (Vol. 7357, pp. 189–200).
Presented at the SWAT: Symposium and Workshops on Algorithm Theory, Helsinki,
Finland: Springer. https://doi.org/10.1007/978-3-642-31155-0_17'
chicago: Busaryev, Oleksiy, Sergio Cabello, Chao Chen, Tamal Dey, and Yusu Wang.
“Annotating Simplices with a Homology Basis and Its Applications,” 7357:189–200.
Springer, 2012. https://doi.org/10.1007/978-3-642-31155-0_17.
ieee: 'O. Busaryev, S. Cabello, C. Chen, T. Dey, and Y. Wang, “Annotating simplices
with a homology basis and its applications,” presented at the SWAT: Symposium
and Workshops on Algorithm Theory, Helsinki, Finland, 2012, vol. 7357, pp. 189–200.'
ista: 'Busaryev O, Cabello S, Chen C, Dey T, Wang Y. 2012. Annotating simplices
with a homology basis and its applications. SWAT: Symposium and Workshops on Algorithm
Theory, LNCS, vol. 7357, 189–200.'
mla: Busaryev, Oleksiy, et al. Annotating Simplices with a Homology Basis and
Its Applications. Vol. 7357, Springer, 2012, pp. 189–200, doi:10.1007/978-3-642-31155-0_17.
short: O. Busaryev, S. Cabello, C. Chen, T. Dey, Y. Wang, in:, Springer, 2012, pp.
189–200.
conference:
end_date: 2012-07-06
location: Helsinki, Finland
name: 'SWAT: Symposium and Workshops on Algorithm Theory'
start_date: 2012-07-04
date_created: 2018-12-11T12:01:33Z
date_published: 2012-06-19T00:00:00Z
date_updated: 2021-01-12T07:41:15Z
day: '19'
department:
- _id: HeEd
doi: 10.1007/978-3-642-31155-0_17
external_id:
arxiv:
- '1107.3793'
intvolume: ' 7357'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1107.3793
month: '06'
oa: 1
oa_version: Preprint
page: 189 - 200
publication_status: published
publisher: Springer
publist_id: '3569'
quality_controlled: '1'
scopus_import: 1
status: public
title: Annotating simplices with a homology basis and its applications
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 7357
year: '2012'
...
---
_id: '3133'
abstract:
- lang: eng
text: 'This note contributes to the point calculus of persistent homology by extending
Alexander duality from spaces to real-valued functions. Given a perfect Morse
function f: S n+1 →[0, 1 and a decomposition S n+1 = U ∪ V into two (n + 1)-manifolds
with common boundary M, we prove elementary relationships between the persistence
diagrams of f restricted to U, to V, and to M. '
acknowledgement: "his research is partially supported by the National Science Foundation
(NSF) under grant DBI-0820624, the European Science Foundation under the Research
Networking Programme, and the Russian Government Project 11.G34.31.0053.\r\nThe
authors thank an anonymous referee for suggesting the simplified proof of the Contravariant
PE Theorem given in this paper. They also thank Frederick Cohen, Yuriy Mileyko and
Amit Patel for helpful discussions."
author:
- first_name: Herbert
full_name: Edelsbrunner, Herbert
id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
last_name: Edelsbrunner
orcid: 0000-0002-9823-6833
- first_name: Michael
full_name: Kerber, Michael
id: 36E4574A-F248-11E8-B48F-1D18A9856A87
last_name: Kerber
orcid: 0000-0002-8030-9299
citation:
ama: 'Edelsbrunner H, Kerber M. Alexander duality for functions: The persistent
behavior of land and water and shore. In: Proceedings of the Twenty-Eighth
Annual Symposium on Computational Geometry . ACM; 2012:249-258. doi:10.1145/2261250.2261287'
apa: 'Edelsbrunner, H., & Kerber, M. (2012). Alexander duality for functions:
The persistent behavior of land and water and shore. In Proceedings of the
twenty-eighth annual symposium on Computational geometry (pp. 249–258). Chapel
Hill, NC, USA: ACM. https://doi.org/10.1145/2261250.2261287'
chicago: 'Edelsbrunner, Herbert, and Michael Kerber. “Alexander Duality for Functions:
The Persistent Behavior of Land and Water and Shore.” In Proceedings of the
Twenty-Eighth Annual Symposium on Computational Geometry , 249–58. ACM, 2012.
https://doi.org/10.1145/2261250.2261287.'
ieee: 'H. Edelsbrunner and M. Kerber, “Alexander duality for functions: The persistent
behavior of land and water and shore,” in Proceedings of the twenty-eighth
annual symposium on Computational geometry , Chapel Hill, NC, USA, 2012, pp.
249–258.'
ista: 'Edelsbrunner H, Kerber M. 2012. Alexander duality for functions: The persistent
behavior of land and water and shore. Proceedings of the twenty-eighth annual
symposium on Computational geometry . SCG: Symposium on Computational Geometry,
249–258.'
mla: 'Edelsbrunner, Herbert, and Michael Kerber. “Alexander Duality for Functions:
The Persistent Behavior of Land and Water and Shore.” Proceedings of the Twenty-Eighth
Annual Symposium on Computational Geometry , ACM, 2012, pp. 249–58, doi:10.1145/2261250.2261287.'
short: H. Edelsbrunner, M. Kerber, in:, Proceedings of the Twenty-Eighth Annual
Symposium on Computational Geometry , ACM, 2012, pp. 249–258.
conference:
end_date: 2012-06-20
location: Chapel Hill, NC, USA
name: 'SCG: Symposium on Computational Geometry'
start_date: 2012-06-17
date_created: 2018-12-11T12:01:35Z
date_published: 2012-06-20T00:00:00Z
date_updated: 2021-01-12T07:41:17Z
day: '20'
department:
- _id: HeEd
doi: 10.1145/2261250.2261287
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1109.5052
month: '06'
oa: 1
oa_version: Preprint
page: 249 - 258
publication: 'Proceedings of the twenty-eighth annual symposium on Computational geometry '
publication_status: published
publisher: ACM
publist_id: '3564'
quality_controlled: '1'
scopus_import: 1
status: public
title: 'Alexander duality for functions: The persistent behavior of land and water
and shore'
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
year: '2012'
...
---
_id: '3134'
abstract:
- lang: eng
text: 'It has been an open question whether the sum of finitely many isotropic Gaussian
kernels in n ≥ 2 dimensions can have more modes than kernels, until in 2003 Carreira-Perpiñán
and Williams exhibited n +1 isotropic Gaussian kernels in ℝ n with n + 2 modes.
We give a detailed analysis of this example, showing that it has exponentially
many critical points and that the resilience of the extra mode grows like √n.
In addition, we exhibit finite configurations of isotropic Gaussian kernels with
superlinearly many modes. '
acknowledgement: This research is partially supported by the National Science Foun-
dation (NSF) under grant DBI-0820624, by the European Science Foundation under the
Research Networking Programme, and the Russian Government Project 11.G34.31.0053.
author:
- first_name: Herbert
full_name: Edelsbrunner, Herbert
id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
last_name: Edelsbrunner
orcid: 0000-0002-9823-6833
- first_name: Brittany
full_name: Fasy, Brittany
last_name: Fasy
- first_name: Günter
full_name: Rote, Günter
last_name: Rote
citation:
ama: 'Edelsbrunner H, Fasy B, Rote G. Add isotropic Gaussian kernels at own risk:
More and more resilient modes in higher dimensions. In: Proceedings of the
Twenty-Eighth Annual Symposium on Computational Geometry . ACM; 2012:91-100.
doi:10.1145/2261250.2261265'
apa: 'Edelsbrunner, H., Fasy, B., & Rote, G. (2012). Add isotropic Gaussian
kernels at own risk: More and more resilient modes in higher dimensions. In Proceedings
of the twenty-eighth annual symposium on Computational geometry (pp. 91–100).
Chapel Hill, NC, USA: ACM. https://doi.org/10.1145/2261250.2261265'
chicago: 'Edelsbrunner, Herbert, Brittany Fasy, and Günter Rote. “Add Isotropic
Gaussian Kernels at Own Risk: More and More Resilient Modes in Higher Dimensions.”
In Proceedings of the Twenty-Eighth Annual Symposium on Computational Geometry
, 91–100. ACM, 2012. https://doi.org/10.1145/2261250.2261265.'
ieee: 'H. Edelsbrunner, B. Fasy, and G. Rote, “Add isotropic Gaussian kernels at
own risk: More and more resilient modes in higher dimensions,” in Proceedings
of the twenty-eighth annual symposium on Computational geometry , Chapel Hill,
NC, USA, 2012, pp. 91–100.'
ista: 'Edelsbrunner H, Fasy B, Rote G. 2012. Add isotropic Gaussian kernels at own
risk: More and more resilient modes in higher dimensions. Proceedings of the twenty-eighth
annual symposium on Computational geometry . SCG: Symposium on Computational Geometry,
91–100.'
mla: 'Edelsbrunner, Herbert, et al. “Add Isotropic Gaussian Kernels at Own Risk:
More and More Resilient Modes in Higher Dimensions.” Proceedings of the Twenty-Eighth
Annual Symposium on Computational Geometry , ACM, 2012, pp. 91–100, doi:10.1145/2261250.2261265.'
short: H. Edelsbrunner, B. Fasy, G. Rote, in:, Proceedings of the Twenty-Eighth
Annual Symposium on Computational Geometry , ACM, 2012, pp. 91–100.
conference:
end_date: 2012-06-20
location: Chapel Hill, NC, USA
name: 'SCG: Symposium on Computational Geometry'
start_date: 2012-06-17
date_created: 2018-12-11T12:01:35Z
date_published: 2012-06-20T00:00:00Z
date_updated: 2023-02-23T10:59:27Z
day: '20'
department:
- _id: HeEd
doi: 10.1145/2261250.2261265
language:
- iso: eng
month: '06'
oa_version: None
page: 91 - 100
publication: 'Proceedings of the twenty-eighth annual symposium on Computational geometry '
publication_status: published
publisher: ACM
publist_id: '3563'
quality_controlled: '1'
related_material:
record:
- id: '2815'
relation: later_version
status: public
scopus_import: 1
status: public
title: 'Add isotropic Gaussian kernels at own risk: More and more resilient modes
in higher dimensions'
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
year: '2012'
...