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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Worring, M. Smeulders, A.W.M. |
| Copyright Year | 1992 |
| Description | Author affiliation: Dept. of Math. & Comput. Sci., Amsterdam Univ., Netherlands (Worring, M.; Smeulders, A.W.M.) |
| Abstract | Presents the shape of a sparse point set S in R/sup 2/. A crucial step in finding the shape of a sparse point set is the definition of its boundary. This boundary is a graph indicating a relation among the elements of S. No well defined definition of such a boundary is found in literature. For continuous point sets this problem does not exist as the boundary has a unique definition. The authors pose general criteria a boundary definition should satisfy and show that the alpha -graph satisfies those criteria. The boundary is a function of the scale parameter alpha . The authors further show that the alpha -graph has a strong relation with mathematical morphology. As an application the use of the alpha -graph in the multi-scale recognition of industrial objects is shown. |
| Starting Page | 145 |
| Ending Page | 148 |
| File Size | 382687 |
| Page Count | 4 |
| File Format | |
| ISBN | 081862910X |
| DOI | 10.1109/ICPR.1992.201528 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 1992-08-30 |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Shape Sampling methods Mathematics Computer science Morphology Industrial relations Image analysis |
| Content Type | Text |
| Resource Type | Article |
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