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EnglishIn this survey we present some semi-Lagrangian schemes for the approximation of weak solutions of first and second order differential problems related to image processing and computer vision. The general framework is given by the theory of viscosity solutions and, in some cases, of calculus of variations. The schemes proposed here have interesting stability properties for evolutive problems since they allow for large time steps, can deal with degenerate problems and are more accurate if compared to standard finite difference/element methods of the same order. Several examples on classical problems will illustrate these properties
A Brief Survey on Semi-Lagrangian Schemes for Image Processing / Carlini, Elisabetta; Falcone, Maurizio; Festa, Adriano. - (2013), pp. 191-218. [10.1007/978-3-642-34141-0_9]
| Titolo: | A Brief Survey on Semi-Lagrangian Schemes for Image Processing | |
| Autori: | ||
| Data di pubblicazione: | 2013 | |
| Titolo del libro: | Dagstuhl Workshop on Innovations for Shape Analysis: Models and Algorithms, | |
| Abstract: | In this survey we present some semi-Lagrangian schemes for the approximation of weak solutions of... first and second order differential problems related to image processing and computer vision. The general framework is given by the theory of viscosity solutions and, in some cases, of calculus of variations. The schemes proposed here have interesting stability properties for evolutive problems since they allow for large time steps, can deal with degenerate problems and are more accurate if compared to standard finite difference/element methods of the same order. Several examples on classical problems will illustrate these properties | |
| ISBN: | 978-3-642-34140-3 | |
| Appare nelle tipologie: | 2.1 Contributo in volume (Capitolo o Saggio) |
File in questo prodotto:
| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| 13_CarliniFalconeFesta_Chap.pdf | 2a Post-print versione editoriale / Version of Record | Non Pubblico - Accesso privato/ristretto | Administrator Richiedi una copia |
http://hdl.handle.net/11583/2786560
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