We consider Alternating Direction Implicit (ADI) splitting schemes to compute efficiently the numerical solution of the PDE osmosis model considered by Weickert et al. in [10] for several imaging applications. The discretised scheme is shown to preserve analogous properties to the continuous model. The dimensional splitting strategy traduces numerically into the solution of simple tridiagonal systems for which standard matrix factorisation techniques can be used to improve upon the performance of classical implicit methods, even for large time steps. Applications to the shadow removal problem are presented.
Titolo: | Alternating Direction Implicit (ADI) schemes for a PDE-based image osmosis model | |
Autori: | ||
Data di pubblicazione: | 2017 | |
Rivista: | ||
Handle: | http://hdl.handle.net/11567/886240 | |
Appare nelle tipologie: | 04.01 - Contributo in atti di convegno |
File in questo prodotto:
File | Descrizione | Tipologia | |
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ADI_osmosi (8).pdf | Documento in Pre-print | Open Access Visualizza/Apri | |
Calatroni_2017_J._Phys.__Conf._Ser._904_012014.pdf | Documento in versione editoriale | Open Access Visualizza/Apri |
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