Document Type

Journal Article

Department/Unit

Department of Mathematics

Title

A nonlocal total variation model for image decomposition: Illumination and reflectance

Language

English

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. © 2014 Global-Science Press.

Keywords

Illumination, Image decomposition, Iterative method, Nonlocal total variation, Reflectance

Publication Date

2014

Source Publication Title

Numerical Mathematics

Volume

7

Issue

3

Start Page

334

End Page

355

Publisher

Nanjing University Press

DOI

10.4208/nmtma.2014.1326nm

Link to Publisher's Edition

http://dx.doi.org/10.4208/nmtma.2014.1326nm

ISSN (print)

10048979

ISSN (electronic)

20797338

This document is currently not available here.

Share

COinS