---
_id: '4019'
abstract:
- lang: eng
  text: 'The construction of shape spaces is studied from a mathematical and a computational
    viewpoint. A program is outlined reducing the problem to four tasks: the representation
    of geometry, the canonical deformation of geometry, the measuring of distance
    in shape space, and the selection of base shapes. The technical part of this paper
    focuses on the second task: the specification of a deformation mixing two or more
    shapes in continuously, changing proportions.'
acknowledgement: This research is partially supported by the National Science Foundation
  under grants CCR-96-19542 and CCR-97-12088, and by the Army Research O*ce under
  grant DAAG55-98-1-0177.
article_processing_charge: No
author:
- first_name: Ho
  full_name: Cheng, Ho
  last_name: Cheng
- first_name: Herbert
  full_name: Edelsbrunner, Herbert
  id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
  last_name: Edelsbrunner
  orcid: 0000-0002-9823-6833
- first_name: Ping
  full_name: Fu, Ping
  last_name: Fu
citation:
  ama: 'Cheng H, Edelsbrunner H, Fu P. Shape space from deformation. In: <i>Proceedings
    of the 6th Pacific Conference on Computer Graphics and Applications</i>. IEEE;
    1998:104-113. doi:<a href="https://doi.org/10.1109/PCCGA.1998.732056">10.1109/PCCGA.1998.732056</a>'
  apa: 'Cheng, H., Edelsbrunner, H., &#38; Fu, P. (1998). Shape space from deformation.
    In <i>Proceedings of the 6th Pacific Conference on Computer Graphics and Applications</i>
    (pp. 104–113). Singapore: IEEE. <a href="https://doi.org/10.1109/PCCGA.1998.732056">https://doi.org/10.1109/PCCGA.1998.732056</a>'
  chicago: Cheng, Ho, Herbert Edelsbrunner, and Ping Fu. “Shape Space from Deformation.”
    In <i>Proceedings of the 6th Pacific Conference on Computer Graphics and Applications</i>,
    104–13. IEEE, 1998. <a href="https://doi.org/10.1109/PCCGA.1998.732056">https://doi.org/10.1109/PCCGA.1998.732056</a>.
  ieee: H. Cheng, H. Edelsbrunner, and P. Fu, “Shape space from deformation,” in <i>Proceedings
    of the 6th Pacific Conference on Computer Graphics and Applications</i>, Singapore,
    1998, pp. 104–113.
  ista: 'Cheng H, Edelsbrunner H, Fu P. 1998. Shape space from deformation. Proceedings
    of the 6th Pacific Conference on Computer Graphics and Applications. CGA: Conference
    on Computer Graphics and Applications , 104–113.'
  mla: Cheng, Ho, et al. “Shape Space from Deformation.” <i>Proceedings of the 6th
    Pacific Conference on Computer Graphics and Applications</i>, IEEE, 1998, pp.
    104–13, doi:<a href="https://doi.org/10.1109/PCCGA.1998.732056">10.1109/PCCGA.1998.732056</a>.
  short: H. Cheng, H. Edelsbrunner, P. Fu, in:, Proceedings of the 6th Pacific Conference
    on Computer Graphics and Applications, IEEE, 1998, pp. 104–113.
conference:
  end_date: 1998-10-29
  location: Singapore
  name: 'CGA: Conference on Computer Graphics and Applications '
  start_date: 1998-10-26
date_created: 2018-12-11T12:06:28Z
date_published: 1998-10-01T00:00:00Z
date_updated: 2022-08-25T12:06:20Z
day: '01'
doi: 10.1109/PCCGA.1998.732056
extern: '1'
language:
- iso: eng
month: '10'
oa_version: None
page: 104 - 113
publication: Proceedings of the 6th Pacific Conference on Computer Graphics and Applications
publication_identifier:
  isbn:
  - '0818686200'
publication_status: published
publisher: IEEE
publist_id: '2107'
quality_controlled: '1'
status: public
title: Shape space from deformation
type: conference
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
year: '1998'
...