Adaptive diffusion constrained total variation scheme with application to `cartoon + texture + edge' image decomposition
Abstract
We consider an image decomposition model involving a variational (minimization) problem and an evolutionary partial differential equation (PDE). We utilize a linear inhomogenuous diffusion constrained and weighted total variation (TV) scheme for image adaptive decomposition. An adaptive weight along with TV regularization splits a given image into three components representing the geometrical (cartoon), textural (small scale - microtextures), and edges (big scale - macrotextures). We study the wellposedness of the coupled variational-PDE scheme along with an efficient numerical scheme based on Chambolle's dual minimization method. We provide extensive experimental results in cartoon-texture-edges decomposition, and denoising as well compare with other related variational, coupled anisotropic diffusion PDE based methods.
Cite
@article{arxiv.1505.00866,
title = {Adaptive diffusion constrained total variation scheme with application to `cartoon + texture + edge' image decomposition},
author = {Juan C. Moreno and V. B. Surya Prasath and D. Vorotnikov and H. Proenca and K. Palaniappan},
journal= {arXiv preprint arXiv:1505.00866},
year = {2015}
}