FEM based Approximations for the TV Denoising Optimization Problem

FEM based Approximations for the TV Denoising Optimization Problem

FEM (Finite Element Method) based approximation model is proposed in this paper. Our goal is to solve a TV (Total Variation) denoising optimization problem using finite element method with triangular grid as a computational domain and also to study the local choice of smoothness parameters for the g...

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Bibliographic Details
Main Authors: Khuda Bux Amur, Abdul Latif Memon, Sania Qureshi
Format: Article
Language:English
Published: Mehran University of Engineering and Technology 2014-01-01
Series:Mehran University Research Journal of Engineering and Technology
Subjects:
Image Denoising
TV Regularization
Adaptive Finite Elements
Optimization
Online Access:http://publications.muet.edu.pk/research_papers/pdf/pdf848.pdf
Description
Summary:FEM (Finite Element Method) based approximation model is proposed in this paper. Our goal is to solve a TV (Total Variation) denoising optimization problem using finite element method with triangular grid as a computational domain and also to study the local choice of smoothness parameters for the given problem. We provide some confidence measures in the form of average absolute error and average absolute square error corresponding to the different choices of locally selected regularization weights; moreover we show that how the regularization parameters play a crucial part in the reduction of error in the approximations and the diffusion enhancement specifically for this TV model.
ISSN:0254-7821
2413-7219

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