Reconstruction of sampled surfaces with boundary via Morse theory
| dc.contributor.author | Coltraro, Franco | en_US |
| dc.contributor.author | Amorós, Jaume | en_US |
| dc.contributor.author | Alberich-Carramiñana, Maria | en_US |
| dc.contributor.author | Torras, Carme | en_US |
| dc.contributor.editor | Gimeno Sancho, Jesús | en_US |
| dc.contributor.editor | Comino Trinidad, Marc | en_US |
| dc.date.accessioned | 2023-07-02T06:44:11Z | |
| dc.date.available | 2023-07-02T06:44:11Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract | We study the perception problem for garments (e.g. a pair of pants) using tools from computational topology: the identification of their geometry and position from point-cloud samples, as obtained e.g. with 3D scanners. We present a reconstruction algorithm based on Morse theory that proceeds directly from the point-cloud to obtain a cellular decomposition of the surface derived via a Morse function. No intermediate triangulation or local implicit equations are used, avoiding reconstruction-induced artifices. The results are a piecewise parametrization of the surface as a union of Morse cells, suitable for tasks such as noise-filtering or mesh-independent reparametrization, and a cell complex of small rank determining the surface topology. This algorithm can be applied to smooth surfaces with or without boundary, embedded in an ambient space of any dimension. | en_US |
| dc.description.sectionheaders | Short Papers | |
| dc.description.seriesinformation | Spanish Computer Graphics Conference (CEIG) | |
| dc.identifier.doi | 10.2312/ceig.20231146 | |
| dc.identifier.isbn | 978-3-03868-230-1 | |
| dc.identifier.pages | 21-24 | |
| dc.identifier.pages | 4 pages | |
| dc.identifier.uri | https://doi.org/10.2312/ceig.20231146 | |
| dc.identifier.uri | https://diglib.eg.org:443/handle/10.2312/ceig20231146 | |
| dc.publisher | The Eurographics Association | en_US |
| dc.rights | Attribution 4.0 International License | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.subject | Keywords: computational topology; Morse functions; surface reconstruction; point-clouds. | |
| dc.subject | computational topology | |
| dc.subject | Morse functions | |
| dc.subject | surface reconstruction | |
| dc.subject | point | |
| dc.subject | clouds. | |
| dc.title | Reconstruction of sampled surfaces with boundary via Morse theory | en_US |
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