Mumford-Shah型能量泛函解的跳跃和近似梯度分析

2010 IEEE 9th International Conference on Cyberntic Intelligent Systems Pub Date : 2010-09-01 DOI:10.1109/UKRICIS.2010.5898121

R. Brouzet, G. Michaille, W. Puech, J. Rakotondralambo

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引用次数: 0

摘要

本文的主要目的是介绍和说明一种源于杨氏测量理论的新工具，用于捕获sbv函数序列的浓度、跳跃符号和梯度振荡。我们展示了如何将这种度量概念应用于一维情况下Mumford-Shah型能量泛函的近似解的分析。

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Analysis of the jump and approximate gradient for solutions of Mumford-Shah type energy functionals

The main objective of this paper is to introduce and illustrate a new tool stemming from Young measure theory in order to capture concentrations, jump sign and gradient oscillations of sequences of SBV-functions. We show how this notion of measure can be applied for the analysis of approximating solutions of Mumford-Shah type energy functionals in the one dimensional case.

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2010 IEEE 9th International Conference on Cyberntic Intelligent Systems

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