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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Veröffentlicht in:Computer graphics forum Jg. 34; H. 5; S. 201 - 210
Hauptverfasser: Prada, F., Kazhdan, M.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Oxford Blackwell Publishing Ltd 01.08.2015
Schlagworte:
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
Online-Zugang:Volltext
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Beschreibung
Zusammenfassung: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.
Bibliographie:ArticleID:CGF12708
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ark:/67375/WNG-28H51XVM-X
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ISSN:0167-7055
1467-8659
DOI:10.1111/cgf.12708