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Proceedings Paper

Approximations of set skeletons
Author(s): Antony T. Popov
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Paper Abstract

This paper studies approximation properties of set skeletons. The first result is about objects for which image information is given. Namely, we show that the medial axis by an arbitrary disk with a given radius is a one-side Hausdorff approximation of the skeleton. The second result is about boundary - represented objects. It concerns the approximate construction of the skeleton of an object using the Voronoi diagram of a discrete sample set on its boundary. A new non-standard approach for solving this problem is presented. Meanwhile, a non-standard generalization of Delaunay and Voronoi graphs for hyperfinite point sets is introduced.

Paper Details

Date Published: 2 October 1998
PDF: 8 pages
Proc. SPIE 3454, Vision Geometry VII, (2 October 1998); doi: 10.1117/12.323254
Show Author Affiliations
Antony T. Popov, St. Kliment Ohridski Univ. of Sofia and Texas A&M Univ. (Bulgaria)


Published in SPIE Proceedings Vol. 3454:
Vision Geometry VII
Robert A. Melter; Angela Y. Wu; Longin Jan Latecki, Editor(s)

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