We give an alternative proof of the regularity, up to the loose end, of minimizers, resp. critical points of the Mumford-Shah functional when they are sufficiently close to the cracktip, resp. they consist of a single arc terminating at an interior point.

中文翻译：

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2d Mumford-Shah 极小值的端点正则性：基于 Andersson 和 Mikayelyan 的定理

我们给出了最小化器的规律性的另一种证明，直到松散端，resp。当 Mumford-Shah 泛函的临界点足够接近裂纹尖端时，分别为。它们由终止于内点的单个弧组成。