Auditory Morse analysis of triangulated manifolds

U. Axen, H. Edelsbrunner, in:, Mathematical Visualization, Springer, 1998, pp. 223–236.

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Abstract
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.
Publishing Year
Date Published
1998-10-20
Book Title
Mathematical Visualization
Page
223 - 236
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Axen U, Edelsbrunner H. Auditory Morse analysis of triangulated manifolds. In: Mathematical Visualization. Springer; 1998:223-236. doi:10.1007/978-3-662-03567-2_17
Axen, U., & Edelsbrunner, H. (1998). Auditory Morse analysis of triangulated manifolds. In Mathematical Visualization (pp. 223–236). Springer. https://doi.org/10.1007/978-3-662-03567-2_17
Axen, Ulrike, and Herbert Edelsbrunner. “Auditory Morse Analysis of Triangulated Manifolds.” In Mathematical Visualization, 223–36. Springer, 1998. https://doi.org/10.1007/978-3-662-03567-2_17.
U. Axen and H. Edelsbrunner, “Auditory Morse analysis of triangulated manifolds,” in Mathematical Visualization, Springer, 1998, pp. 223–236.
Axen U, Edelsbrunner H. 1998. Auditory Morse analysis of triangulated manifolds. Mathematical Visualization. 223–236.
Axen, Ulrike, and Herbert Edelsbrunner. “Auditory Morse Analysis of Triangulated Manifolds.” Mathematical Visualization, Springer, 1998, pp. 223–36, doi:10.1007/978-3-662-03567-2_17.

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