Unconditionally Stable Shock Filters for Image and Geometry Processing
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Date
2015
Authors
Journal Title
Journal ISSN
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Publisher
The Eurographics Association and John Wiley & Sons Ltd.
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.
Description
@article{10.1111:cgf.12708,
journal = {Computer Graphics Forum},
title = {{Unconditionally Stable Shock Filters for Image and Geometry Processing}},
author = {Prada, Fabian and Kazhdan, Misha},
year = {2015},
publisher = {The Eurographics Association and John Wiley & Sons Ltd.},
DOI = {10.1111/cgf.12708}
}