Approximations of set skeletons

Antony T. Popov

doi:10.1117/12.323254

2 October 1998 Approximations of set skeletons

Antony T. Popov

Proceedings Volume 3454, Vision Geometry VII; (1998) https://doi.org/10.1117/12.323254
Event: SPIE's International Symposium on Optical Science, Engineering, and Instrumentation, 1998, San Diego, CA, United States

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.

Citation Download Citation

Antony T. Popov "Approximations of set skeletons", Proc. SPIE 3454, Vision Geometry VII, (2 October 1998); https://doi.org/10.1117/12.323254

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