Hierarchical Mumford-Shah Model for Image Segmentation,Denoising,and Reconstruction Using an Iterative Tier-by-Tier Algorithm Based on Level Set Methods
LIU JIAN GUO · Acta Automatica Sinica · 2006
A novel hierarchical Mumford-Shah functional model is addressed to simultane- ously segment,denoise and reconstruct the data within a given image and to handle important image features such as triple points and other multiple junctions,which can be seen as a hierarchical case of the Mumford-Shah minimal partition problem.At the same time,a new iterative tier-by-tier algorithm based on techniques of level set is proposed to minimize the hierarchical Mumford-Shah functional,which is more effective and more simple than existing algorithms such as the hierarchical approach proposed by Tsai A et al.and the multiphase level set methods proposed by Chan T et al.