2003 | OriginalPaper | Buchkapitel
Computing the Hausdorff Distance of Geometric Patterns and Shapes
verfasst von : Helmut Alt, Peter Braß, Michael Godau, Christian Knauer, Carola Wenk
Erschienen in: Discrete and Computational Geometry
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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A very natural distance measure for comparing shapes and patterns is the Hausdorff distance. In this article we develop algorithms for computing the Hausdorff distance in a very general case in which geometric objects are represented by finite collections of k-dimensional simplices in d-dimensional space. The algorithms are polynomial in the size of the input,a ssuming d is a constant. In addition,w e present more efficient algorithms for special cases like sets of points,or line segments,or triangulated surfaces in three dimensions.