Title
Unconditionally Stable Shock Filters for Image and Geometry Processing
Abstract
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.
Year
DOI
Venue
2015
10.1111/cgf.12708
Computer Graphics Forum
Field
DocType
Volume
Computer vision,Polygon mesh,Computer science,Geometry processing,Image processing,Filter (signal processing),Robustness (computer science),Theoretical computer science,Artificial intelligence,Tracing,Arbitrarily large,Cognitive neuroscience of visual object recognition
Journal
34
Issue
ISSN
Citations 
5
0167-7055
4
PageRank 
References 
Authors
0.40
23
2
Name
Order
Citations
PageRank
Fabian Prada1232.00
Misha Kazhdan240.74