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image processing sparsity total variation inverse problem denoising signal processing compression mesh geodesic active contour 3-d surfaces compressed sensing regularization inverse problems convex optimization proximal splitting optimization wavelets optimal transport convex analysis l1 minimization l1 norm statistics histogram equalization color transfer applied mathematics fluid dynamics active contours eikonal equation fast marching tomography analysis regularization dictionary learning low rank convexity risk estimation l1 optimization degrees of freedom sure total variation. curvelets bandlets generalized forward backward adaptive representation superresolution ; inverse problem ; sparsity ; dec model selection gauge