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Proceedings Paper

Continuity of the discrete curve evolution
Author(s): Longin Jan Latecki; R. R. Ghadially; Rolf Lakaemper; Ulrich Eckhardt
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Paper Abstract

Recently Latecki and Lakamper (Computer Vision and Image Understanding 73:3, March 1999) reported a novel process for a discrete curve evolution. This process has various application possibilities, in particular, for noise removal and shape simplification of boundary curves in digital images. In this paper we prove that the process of the discrete curve evolution is continuous: if polygon Q is close to polygon P, then the polygons obtained by their evolution remain close. This result follows directly from the fact that the evolution of Q corresponds to the evolution of P if Q approximates P. This intuitively means that first all vertices of Q are deleted that are not close to any vertex of P, and then, whenever a vertex of P is deleted, then a vertex of Q that is close to it is deleted in the corresponding evolution step of Q.

Paper Details

Date Published: 23 September 1999
PDF: 12 pages
Proc. SPIE 3811, Vision Geometry VIII, (23 September 1999); doi: 10.1117/12.364095
Show Author Affiliations
Longin Jan Latecki, Univ. Hamburg (United States)
R. R. Ghadially, Univ. Hamburg (Germany)
Rolf Lakaemper, Univ. Hamburg (Germany)
Ulrich Eckhardt, Univ. Hamburg (Germany)

Published in SPIE Proceedings Vol. 3811:
Vision Geometry VIII
Longin Jan Latecki; Robert A. Melter; David M. Mount; Angela Y. Wu, Editor(s)

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