Unconditionally Stable Shock Filters for Image and Geometry Processing

dc.contributor.authorPrada, Fabianen_US
dc.contributor.authorKazhdan, Mishaen_US
dc.contributor.editorMirela Ben-Chen and Ligang Liuen_US
dc.date.accessioned2015-07-06T05:01:09Z
dc.date.available2015-07-06T05:01:09Z
dc.date.issued2015en_US
dc.description.abstractThis 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.en_US
dc.description.number5en_US
dc.description.sectionheadersGeometry and Imagesen_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume34en_US
dc.identifier.doi10.1111/cgf.12708en_US
dc.identifier.pages201-210en_US
dc.identifier.urihttps://doi.org/10.1111/cgf.12708en_US
dc.publisherThe Eurographics Association and John Wiley & Sons Ltd.en_US
dc.subjectI.3.5 [Computer Graphics]en_US
dc.subjectComputational Geometry and Object Modelingen_US
dc.subjectHierarchy and geometric transformationsen_US
dc.subjectI.4.3 [Image Processing and Computer Vision]en_US
dc.subjectEnhancementen_US
dc.subjectSharpening and deblurringen_US
dc.titleUnconditionally Stable Shock Filters for Image and Geometry Processingen_US
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