CINECA IRIS Institutional Research Information System
IRIS è l'Anagrafe della ricerca dell'Università degli Studi di Trento, e ha lo scopo di raccogliere, documentare, conservare e diffondere, anche ad accesso aperto, la produzione scientifica degli autori afferenti all'Università degli Studi di Trento.
EnglishWe propose a unified theory for the discretization ofmanifolds (triangulations, volumetric approximations, pixelization, point clouds etc.) which provides a common framework for describing discrete and continuous surfaces, allows a control of the weak regularity of the limit surface and provides a consistent notion of mean curvature. This is made possible by the theory of varifolds. Varifolds have been introduced more than 40 years ago as a generalized notion of k-surface, with a number of relevant applications (for example to the existence and regularity of soap bubble clusters and soap films). Our extension of the theory consists in a new discrete framework, including in particular a scale-dependent notion of mean curvature, by which one can approximate variational problems on (generalized) surfaces by minimizing suitable energies defined on discrete varifolds. As an example, we apply the theory of discrete varifolds to estimate the mean curvature of a point cloud and to approximate its evolution by mean curvature flow.
Discrete Varifolds: A Unified Framework for Discrete Approximations of Surfaces and Mean Curvature / Buet, Blanche; Leonardi, Gian Paolo; Masnou, Simon. - ELETTRONICO. - 9087(2015), pp. 513-524. ((Intervento presentato al convegno 5th International Conference on Scale Space and Variational Methods in Computer Vision, SSVM 2015 tenutosi a Lège-Cap Ferret, France nel May 31 - June 4, 2015 [10.1007/978-3-319-18461-6_41].
| Titolo: | Discrete Varifolds: A Unified Framework for Discrete Approximations of Surfaces and Mean Curvature | |
| Autori: | Buet, Blanche; Leonardi, Gian Paolo; Masnou, Simon | |
| Autori Unitn: | ||
| Titolo del volume contenente il saggio: | Lecture Notes in Computer Science | |
| Luogo di edizione: | DEU | |
| Casa editrice: | Springer Verlag | |
| Anno di pubblicazione: | 2015 | |
| Codice identificativo Scopus: | 2-s2.0-84931032099 | |
| ISBN: | 9783319184616 | |
| Handle: | http://hdl.handle.net/11572/229200 | |
| Citazione: | Discrete Varifolds: A Unified Framework for Discrete Approximations of Surfaces and Mean Curvature / Buet, Blanche; Leonardi, Gian Paolo; Masnou, Simon. - ELETTRONICO. - 9087(2015), pp. 513-524. ((Intervento presentato al convegno 5th International Conference on Scale Space and Variational Methods in Computer Vision, SSVM 2015 tenutosi a Lège-Cap Ferret, France nel May 31 - June 4, 2015 [10.1007/978-3-319-18461-6_41]. | |
| Appare nelle tipologie: | 04.1 Saggio in atti di convegno (Paper in Proceedings) |
File in questo prodotto:
| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| BuetLeoMas_SSVM2015.pdf | Versione editoriale (Publisher’s layout) | Tutti i diritti riservati (All rights reserved) | Administrator |
Copyright © 2022