Unconditionally Stable Shock Filters for Image and Geometry Processing
Fabián Prada, Misha Kazhdan · Computer Graphics Forum · 2015
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.