Simplified excision techniques for free discontinuity problems in several variables (Q1375918)

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scientific article; zbMATH DE number 1106587
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Simplified excision techniques for free discontinuity problems in several variables
scientific article; zbMATH DE number 1106587

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    Simplified excision techniques for free discontinuity problems in several variables (English)
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    9 July 1998
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    The author studied the free discontinuity problems. These are problems where an unknown discontinuity set can be found by solving a minimization problem. These kind of problems appear in the theory of image segmentation. The author has found applications to problems in several variables thanks to a Sobolev type theorem which ensures the Hölder continuity of certain functions out of a suitable neighbourhood of their discontinuity set.
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    minimization
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    second order elliptic equations
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    free discontinuity problems
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    image segmentation
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