Unconditionally Stable Shock Filters for Image and Geometry Processing

Loading...
Thumbnail Image
Date
2015
Journal Title
Journal ISSN
Volume Title
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
} }
Citation