The Beltrami Flow over Triangulated Manifolds

Abstract

AbstractIn several image processing applications one has to deal with noisy images defined on surfaces, like electric impulsions or diffusion tensors on the cortex. We propose a new regularization technique for data defined on triangulated surfaces: the Beltrami flow over intrinsic manifolds. This technique overcomes the over – smoothing of the L 2 and the stair-casing effects of the L 1 flow for strongly noised images. To do so, we locally estimate the differential operators and then perform temporal finite differences. We present the implementation for scalar images defined in 2 dimensional manifolds and experimental results.KeywordsImage Processing ApplicationTriangulate SurfaceIntrinsic FormulationPolyakov ActionElectric ImpulsionThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.