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    Unconditionally Stable Shock Filters for Image and Geometry Processing

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    Date
    2015
    Author
    Prada, Fabian
    Kazhdan, Misha
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    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.
    BibTeX
    @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}
    }
    URI
    http://dx.doi.org/10.1111/cgf.12708
    Collections
    • 34-Issue 5
    • SGP15: Eurographics Symposium on Geometry Processing (CGF 34-5)

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