THE WEIGHTED AMBROSIO-TORTORELLI APPROXIMATION SCHEME

THE WEIGHTED AMBROSIO-TORTORELLI APPROXIMATION SCHEME
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DOI:
10.1137/16m1088661
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发表时间:
2017-01-01
影响因子:
2
通讯作者:
Liu, Pan
Liu, Pan
中科院分区:
数学2区
文献类型:
--
作者:
Fonseca, Irene;Liu, Pan

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研究了具有加权度量的Ambrosio-Tortorelli逼近格式。它表明,它的伽玛收敛到一个Mumford-Shah图像分割功能取决于重量欧米茄dx,其中欧米茄<$SBV(欧米茄),并在其值
The Ambrosio-Tortorelli approximation scheme with weighted underlying metric is investigated. It is shown that it Gamma-converges to a Mumford-Shah image segmentation functional depending on the weight omega dx, where omega epsilon SBV(Omega), and on its value