Unconditionally Stable Shock Filters for Image and Geometry Processing

This work revisits the Shock Filters of Osher and Rudin [OR90] and shows how the proposed filtering process can be interpreted as the advection of image values along flow‐lines. Using this interpretation, we obtain an efficient implementation that only requires tracing flow‐lines and re‐sampling the...

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Vydáno v:	Computer graphics forum Ročník 34; číslo 5; s. 201 - 210
Hlavní autoři:	Prada, F., Kazhdan, M.
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Oxford Blackwell Publishing Ltd 01.08.2015
Témata:	Advection Analysis Categories and Subject Descriptors (according to ACM CCS) Computer graphics Filtering Filtration Geometry I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling-Hierarchy and geometric transformations I.4.3 [Image Processing and Computer Vision]: Enhancement-Sharpening and deblurring Image processing systems Robustness Signal processing Studies Three dimensional
ISSN:	0167-7055, 1467-8659
On-line přístup:	Získat plný text
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Shrnutí:	This work revisits the Shock Filters of Osher and Rudin [OR90] and shows how the proposed filtering process can be interpreted as the advection of image values along flow‐lines. Using this interpretation, we obtain an efficient implementation that only requires tracing flow‐lines and re‐sampling the image. We show that the approach is stable, allowing the use of arbitrarily large time steps without requiring a linear solve. Furthermore, we demonstrate the robustness of the approach by extending it to the processing of signals on meshes in 3D.
Bibliografie:	ArticleID:CGF12708 istex:711890F742034601FDC78CDD32ED90429501E8BB ark:/67375/WNG-28H51XVM-X SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 14 ObjectType-Article-1 ObjectType-Feature-2 content type line 23
ISSN:	0167-7055 1467-8659
DOI:	10.1111/cgf.12708