用Mumford-Shah型能量泛函求约束信号的变分逼近

J. Rakotondralambo, Gérard Michaille, R. Brouzet, William Puech
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引用次数: 1

摘要

本文的主要目的是在给定向量场约束下,建立变分模型在图像分割中的存在性结果。在一维情况下,我们给出了一个离散版本以变分的方式收敛于连续模型。最后给出了该模型在图像分割中的应用。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Variational approximation of a constraint signal by a Mumford-Shah type energy functional
In this paper, the main objective is to establish an existence result of a variational model in image segmentation constrained by a given vector field. In the one dimensional case, we give a discrete version converging in a variational way to the continuous model. We finally describe the numerical analysis of this model with application in image segmentation.
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