Document Type

Journal Article

Department/Unit

Department of Mathematics

Title

A variational histogram equalization method for image contrast enhancement

Language

English

Abstract

The main aim of this paper is to develop a histogram equalization algorithm for image contrast enhancement. Our idea is to propose a variational approach containing an energy functional to determine a local transformation such that the histogram can be redistributed locally, and the brightness of the transformed image can be preserved. In order to minimize the differences among the local transformation at the nearby pixel locations, the spatial regularization of the transformation is also incorporated into the functional for the equalization process. In the variational problem, we consider both H1-norm regularization and total variation regularization of the transformation in the model. The existence and uniqueness of the minimizers of the two proposed models are studied and analyzed. Experimental results are reported to show that the performance of the proposed models are competitive with the other compared methods for several testing images. © by SIAM.

Keywords

Alternating minimization, Contrast enhancement, Energy functional, Histogram equalization, Transformation function, Variational approach

Publication Date

2013

Source Publication Title

SIAM Journal on Imaging Sciences

Volume

6

Issue

3

Start Page

1823

End Page

1849

Publisher

Society for Industrial and Applied Mathematics

DOI

10.1137/130909196

Link to Publisher's Edition

http://dx.doi.org/10.1137/130909196

ISSN (electronic)

19364954

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