A Variational Approach on Image Segmentation

机译：图像分割的变分方法

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摘要

This paper deals with a class of variational problems rising from image segmentation. After introducing the mathematical model of this question, we analysis it's rationality in details. At the same time, two numerical methods will be proposed to solve it. Furthermore, the equivalence of these two equations will be proved briefly. At last, we shall apply this result to approximate a minimum problem that was introduced by D.Mumford and J.Shah to Study image Segmentation.

机译：本文讨论了由于图像分割而引起的一类变分问题。在介绍了该问题的数学模型之后，我们将详细分析其合理性。同时，将提出两种数值方法来解决它。此外，将简要证明这两个方程的等价性。最后，我们将这个结果应用于D.Mumford和J.Shah为研究图像分割引入的最小问题。

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来源
《Conference on Image Extraction, Segmentation, and Recognition Oct 22-24, 2001, Wuhan, China》|2001年|p.109-114|共6页
会议地点 Wuhan(CN)
作者
Tian Yan; Xu Hongbo; Liu Jian;
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作者单位

State Key Laboratory for Image Processing and Intelligent Control Institute for Pattern Recognition and Artifical Intelligence HuaZhong University of Science and Technology, Wuhan, China;

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会议组织
原文格式 PDF
正文语种 eng
中图分类无线电电子学、电信技术;
关键词
variational approach; image segmentation; theory and algorithms for image segmentation; discrete form; approximate solution;

机译：变化方法图像分割图像分割的理论和算法；离散形式近似解;

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7. ETVOS: An enhanced total variation optimization segmentation approach for SAR sea-ice image segmentation [O] . Tae-jung Kwon, Jonathan Li, Senior Member, 2016

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8. Approche Stochastique de la Segmentation des Images: Un Modele de Coopertion Entre les Primitives de Regions et de Frontieres (Stochastic Approach of Image Segmentation: A Model of Cooperation Between Region Primitives and Boundar [R] . Bouakaz, S. 1987

机译：approche stochastique de la segmentation des Images：Un modele de Coopertion Entre les primitives de Regions et de Frontieres（图像分割的随机方法：区域基元与边界之间的合作模型）

A Variational Approach on Image Segmentation

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