--- res: bibo_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.@eng bibo_authorlist: - foaf_Person: foaf_givenName: Ulrike foaf_name: Axen, Ulrike foaf_surname: Axen - foaf_Person: foaf_givenName: Herbert foaf_name: Edelsbrunner, Herbert foaf_surname: Edelsbrunner foaf_workInfoHomepage: http://www.librecat.org/personId=3FB178DA-F248-11E8-B48F-1D18A9856A87 orcid: 0000-0002-9823-6833 bibo_doi: 10.1007/978-3-662-03567-2_17 dct_date: 1998^xs_gYear dct_isPartOf: - http://id.crossref.org/issn/9783662035672 dct_language: eng dct_publisher: Springer@ dct_title: Auditory Morse analysis of triangulated manifolds@ ...