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Two problems concerning Fréchet distance and lines of evasion - MaRDI portal

Two problems concerning Fréchet distance and lines of evasion (Q1059906)

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scientific article; zbMATH DE number 3905493
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English
Two problems concerning Fréchet distance and lines of evasion
scientific article; zbMATH DE number 3905493

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    Two problems concerning Fréchet distance and lines of evasion (English)
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    1982
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    We present our conception of a topological game. We show in part I that the Fréchet distance between curves is realized for certain of their representations; from this we derive the existence of a geodesic in the space of curves. In part 2 we prove the existence of an escape line - the transversal of level sets of functions - of the distance to the simply connected region.
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    Fréchet distance between curves
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