On the Evolution of the Skeleton

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Please use this identifier to cite or link to this item: http://hdl.handle.net/1853/32157

Title: On the Evolution of the Skeleton
Author: August, Jonas ; Tannenbaum, Allen R. ; Zucker, Steven W.
Abstract: It is commonly held that skeleton variation due to noise is unmanageable. It is also believed that smoothing, invoked to combat noise, creates no new structures, as in the causality principle for smoothing images. We demonstrate that both views are incorrect. We characterize how smooth points of the skeleton evolve under a general boundary evolution, with the corollary that, when the boundary is smoothed by a geometric heat equation, the skeleton evolves according to a related geometric heat equation. The surprise is that, while certain aspects of the skeleton simplify, as one would expect, others can behave wildly, including the creation of new skeleton branches. Fortunately such sections can be flagged as ligature, or those portions of the skeleton related to shape concavities. Our analysis also includes junctions and an explicit model for boundary noise. Provided a smoothness condition is met, the skeleton can often reduce noise. However when the smoothness condition is violated, the skeleton can change violently, which, we speculate, corresponds to situations in which "parts" are created, e.g., when the handle appears on a rotating cup.
Description: ©1999 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or distribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder. DOI: 10.1109/ICCV.1999.791236 Presented at the 7th IEEE International Conference on Computer Vision, Corfu, Greece, September 20-27, 1999.
Type: Proceedings
URI: http://hdl.handle.net/1853/32157
ISBN: 0-7695-0164-8
Citation: Jonas August, Allen Tannenbaum, and Steven W. Zucker, "On the Evolution of the Skeleton," Proceedings of the Seventh IEEE International Conference on Computer Vision, 1999, Vol. 1, 315- 322.
Date: 1999-09
Contributor: Yale University. Dept. of Electrical Engineering
University of Minnesota. Dept. of Electrical and Computer Engineering
Yale University. Dept. of Computer Science
Publisher: Georgia Institute of Technology
Institute of Electrical and Electronics Engineers
Subject: Image thinning
Object recognition

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