Publication Type : Journal Article
Publisher : International Journal of Pure and Applied Mathematics .
Source : International Journal of Pure and Applied Mathematics, Volume 118 (2018)
Url : https://acadpubl.eu/hub/2018-118-21/articles/21d/100.pdf
Campus : Coimbatore
School : School of Engineering
Department : Electronics and Communication
Year : 2018
Abstract : The use of total variation as a regularization term in imaging problems was motivated by its ability to recover the image discontinuities. This is at the basis of his numerous applications to denoising, optical flow, stereo imaging and 3D surface reconstruction, segmentation, or interpolation, to mention some of them. On one hand, we review here the main theoretical arguments that have been given to support this idea. On the other, we review the main numerical approaches to solve different models where total variation appears. We describe both the main iterative schemes and the global optimization methods based on the use of max-flow algorithms. Then we review the use of anisotropic total variation models to solve different geometric problems and its use in finding a convex formulation of some non convex total variation problems. Finally we study the total variation formulation of image restoration .
Cite this Research Publication : V. Kamalaveni, Narayanankutty, K. A., S. Veni, and K. P. Soman, “Survey on Total Variation based Image Regularization Algorithms for Image Denoising”, International Journal of Pure and Applied Mathematics, vol. 118, 20 vol., 2018.