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A Nonlocal Total Variation Model for Image Decomposition: Illumination and Reflectance

Published online by Cambridge University Press:  28 May 2015

Wei Wang and
Michael K. Ng
Wei Wang*
Affiliation:
Department of Mathematics, Tongji University, Shanghai, China
Michael K. Ng*
Affiliation:
Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong
*
Corresponding author.Email address:wangw@tongji.edu.cn
Corresponding author.Email address:mng@math.hkbu.edu.hk
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Abstract

In this paper, we study to use nonlocal bounded variation (NLBV) techniques to decompose an image intensity into the illumination and reflectance components. By considering spatial smoothness of the illumination component and nonlocal total variation (NLTV) of the reflectance component in the decomposition framework, an energy functional is constructed. We establish the theoretical results of the space of NLBV functions such as lower semicontinuity, approximation and compactness. These essential properties of NLBV functions are important tools to show the existence of solution of the proposed energy functional. Experimental results on both grey-level and color images are shown to illustrate the usefulness of the nonlocal total variation image decomposition model, and demonstrate the performance of the proposed method is better than the other testing methods.

Keywords

68U1065K0565N21Image decompositionilluminationreflectancenonlocal total variationiterative method

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Type
Research Article
Information
Numerical Mathematics: Theory, Methods and Applications , Volume 7 , Issue 3 , August 2014, pp. 334 - 355
Copyright
Copyright © Global Science Press Limited 2014

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