Mumford and shah model and its applications to image segmentation and image restoration

Leah Bar; Tony F. Chan; Ginmo Chung; Miyoun Jung; Nahum Kiryati; Nir Sochen; Luminita A. Vese

doi:https://doi.org/10.1007/978-1-4939-0790-8_25

Mumford and shah model and its applications to image segmentation and image restoration

Leah Bar, Tony F. Chan, Ginmo Chung, Miyoun Jung, Nahum Kiryati, Nir Sochen, Luminita A. Vese

Tel Aviv University

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

This chapter presents an overview of the Mumford and Shah model for image segmentation. It discusses its various formulations, some of its properties, the mathematical framework, and several approximations. It also presents numerical algorithms and segmentation results using the Ambrosio-Tortorelli phase-field approximations on one hand and level set formulations on the other hand. Several applications of the Mumford-Shah problem to image restoration are also presented.

Original language	English
Title of host publication	Handbook of Mathematical Methods in Imaging
Subtitle of host publication	Volume 1, Second Edition
Publisher	Springer New York
Pages	1539-1597
Number of pages	59
ISBN (Electronic)	9781493907908
ISBN (Print)	9781493907892
DOIs	https://doi.org/10.1007/978-1-4939-0790-8_25
State	Published - 1 Jan 2015

All Science Journal Classification (ASJC) codes

General Engineering
General Computer Science
General Biochemistry,Genetics and Molecular Biology
General Medicine
General Mathematics

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Mumford and shah model and its applications to image segmentation and image restoration

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