Adaptive diffusion constrained total variation scheme with application to `cartoon + texture + edge' image decomposition


Juan C. Moreno*, V. B. Surya Prasath$^, D. Vorotnikov#, Hugo Proença*, K. Palaniappan$
*IT-Instituto de Telecomunicações, Department of Computer Science, University of Beira Interior, Portugal
#Department of Mathematics, University of Coimbra, Portugal
$Computational Imaging and Visualization Analysis Lab, Department of Computer Science, University of Missouri-Columbia, USA




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. 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.


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Reference:

J. C. Moreno, V. B. S. Prasath, D. Vorotnikov, H. Proenca, K. Palaniappan. Adaptive diffusion constrained total variation scheme with application to `cartoon + texture + edge' image decomposition. Submitted. 2015


Acknowledgment:
^This work was done while the author was at the IPAM, University of California Los Angeles, CA, USA. The author thanks the IPAM institute for their great hospitality and support during the visit.


Surya Prasath