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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Jalba, A.C. Sobiecki, A. Telea, A.C. |
| Copyright Year | 1979 |
| Abstract | Computing skeletons of 2D shapes, and medial surface and curve skeletons of 3D shapes, is a challenging task. In particular, there is no unified framework that detects all types of skeletons using a single model, and also produces a multiscale representation which allows to progressively simplify, or regularize, all skeleton types. In this paper, we present such a framework. We model skeleton detection and regularization by a conservative mass transport process from a shape's boundary to its surface skeleton, next to its curve skeleton, and finally to the shape center. The resulting density field can be thresholded to obtain a multiscale representation of progressively simplified surface, or curve, skeletons. We detail a numerical implementation of our framework which is demonstrably stable and has high computational efficiency. We demonstrate our framework on several complex 2D and 3D shapes. |
| Sponsorship | IEEE Computer Society |
| Starting Page | 30 |
| Ending Page | 45 |
| Page Count | 16 |
| File Size | 1793824 |
| File Format | |
| ISSN | 01628828 |
| Volume Number | 38 |
| Issue Number | 1 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2016-01-01 |
| Publisher Place | U.S.A. |
| Access Restriction | One Nation One Subscription (ONOS) |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Skeleton Shape Three-dimensional displays Computational modeling Surface treatment Measurement Mathematical model based shape processing Medial axes Skeleton regularization Physically physically-based shape processing skeleton regularization |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Artificial Intelligence Computational Theory and Mathematics Computer Vision and Pattern Recognition Software |
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