具有非负空间相关参数的高阶Ambrosio–Tortorelli格式

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-06-27 DOI:10.1515/acv-2021-0071

Irene Fonseca, Pan Liu, Xin Yang Lu

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引用次数: 0

摘要

摘要研究了具有加权底层度量的Ambrosio–Tortorelli近似格式。结果表明，它Γ-收敛于Mumford–Shah图像分割函数，这取决于权重ωd x｛\omega\，dx｝，其中ω是有界变化的特殊函数，以及它在跳跃处的值。

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Higher order Ambrosio–Tortorelli scheme with non-negative spatially dependent parameters

Abstract The Ambrosio–Tortorelli approximation scheme with weighted underlying metric is investigated. It is shown that it Γ-converges to a Mumford–Shah image segmentation functional depending on the weight ω ⁢ d ⁢ x {\omega\,dx} , where ω is a special function of bounded variation, and on its values at the jumps.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.