Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 494761, 20 pages
Research Article

A New and Fast Multiphase Image Segmentation Model for Color Images

Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China

Received 10 October 2011; Accepted 27 December 2011

Academic Editor: Pedro Ribeiro

Copyright © 2012 Yunyun Yang and Boying Wu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper presents a new and fast multiphase image segmentation model for color images. We propose our model by incorporating the globally convex image segmentation method and the split Bregman method into the piecewise constant multiphase Vese-Chan model for color images. We have applied our model to many synthetic and real color images. Numerical results show that our model can segment color images with multiple regions and represent boundaries with complex topologies, including triple junctions. Comparison with the Vese-Chan model demonstrates the efficiency of our model. Besides, our model does not require a priori denoising step and is robust with respect to noise.