---
_id: '3570'
abstract:
- lang: eng
  text: Visualization of high-dimensional or large geometric data sets is inherently
    difficult, so we experiment with the use of audio to display the shape and connectivity
    of these data sets. Sonification is used as both an addition to and a substitution
    for the visual display. We describe a new algorithm called wave traversal that
    provides a necessary intermediate step to sonification of the data; it produces
    an ordered sequence of subsets, called waves, that allows us to map the data to
    time. In this paper we focus in detail on the mathematics of wave traversal, in
    particular, how wave traversal can be used as a discrete Morse function.
article_processing_charge: No
author:
- first_name: Ulrike
  full_name: Axen, Ulrike
  last_name: Axen
- first_name: Herbert
  full_name: Edelsbrunner, Herbert
  id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
  last_name: Edelsbrunner
  orcid: 0000-0002-9823-6833
citation:
  ama: 'Axen U, Edelsbrunner H. Auditory Morse analysis of triangulated manifolds.
    In: <i>Mathematical Visualization</i>. Springer; 1998:223-236. doi:<a href="https://doi.org/10.1007/978-3-662-03567-2_17">10.1007/978-3-662-03567-2_17</a>'
  apa: Axen, U., &#38; Edelsbrunner, H. (1998). Auditory Morse analysis of triangulated
    manifolds. In <i>Mathematical Visualization</i> (pp. 223–236). Springer. <a href="https://doi.org/10.1007/978-3-662-03567-2_17">https://doi.org/10.1007/978-3-662-03567-2_17</a>
  chicago: Axen, Ulrike, and Herbert Edelsbrunner. “Auditory Morse Analysis of Triangulated
    Manifolds.” In <i>Mathematical Visualization</i>, 223–36. Springer, 1998. <a href="https://doi.org/10.1007/978-3-662-03567-2_17">https://doi.org/10.1007/978-3-662-03567-2_17</a>.
  ieee: U. Axen and H. Edelsbrunner, “Auditory Morse analysis of triangulated manifolds,”
    in <i>Mathematical Visualization</i>, Springer, 1998, pp. 223–236.
  ista: 'Axen U, Edelsbrunner H. 1998.Auditory Morse analysis of triangulated manifolds.
    In: Mathematical Visualization. , 223–236.'
  mla: Axen, Ulrike, and Herbert Edelsbrunner. “Auditory Morse Analysis of Triangulated
    Manifolds.” <i>Mathematical Visualization</i>, Springer, 1998, pp. 223–36, doi:<a
    href="https://doi.org/10.1007/978-3-662-03567-2_17">10.1007/978-3-662-03567-2_17</a>.
  short: U. Axen, H. Edelsbrunner, in:, Mathematical Visualization, Springer, 1998,
    pp. 223–236.
date_created: 2018-12-11T12:04:01Z
date_published: 1998-10-20T00:00:00Z
date_updated: 2022-08-29T12:47:32Z
day: '20'
doi: 10.1007/978-3-662-03567-2_17
extern: '1'
language:
- iso: eng
month: '10'
oa_version: None
page: 223 - 236
publication: Mathematical Visualization
publication_identifier:
  isbn:
  - '9783662035672'
publication_status: published
publisher: Springer
publist_id: '2815'
quality_controlled: '1'
status: public
title: Auditory Morse analysis of triangulated manifolds
type: book_chapter
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
year: '1998'
...