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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Nguyen, T.P. Hoang, T.V. |
| Copyright Year | 1992 |
| Abstract | Measuring the degree to which a shape resembles a polygon (referred to as polygonality) is a difficult problem due to the intrinsic diversity in the form and distortion of shapes caused by digitization and similarity transformation. This paper proposes a generic approach for this problem by performing the measurement in the projection space where the Radon image of some primitive shapes, which compose the shape, becomes apparent. The obtained measures take value in (0, 1) with 1 corresponding to analytical polygons. They are robust to additive noise and boundary distortion, and is invariant to similarity transformation. The new framework generalizes existing polygonal measures such as triangularity and quadrangularity. In addition, the ability to estimate polygon's geometric quantities in the projection space allows approximating a shape by analytical polygons. The efficiency of the proposed approach is demonstrated through a number of experiments on both synthetic and real data sets. |
| Sponsorship | IEEE Signal Processing Society |
| Page Count | 11 |
| File Size | 3252670 |
| Starting Page | 305 |
| Ending Page | 315 |
| File Format | |
| ISSN | 10577149 |
| Volume Number | 24 |
| Issue Number | 1 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2015-01-01 |
| Publisher Place | U.S.A. |
| Access Restriction | One Nation One Subscription (ONOS) |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Shape Shape measurement Radio frequency Extremities Approximation methods Transforms Distortion measurement polygonal approximation Polygonality measurement Radon transform |
| Content Type | Text |
| Resource Type | Article |
| Subject | Computer Graphics and Computer-Aided Design Software |
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