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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Cross, A.D.J. Hancock, E.R. |
| Copyright Year | 1997 |
| Description | Author affiliation: Dept. of Comput. Sci., York Univ., UK (Cross, A.D.J.) |
| Abstract | This paper describes a vectorial representation that can be used to assess the symmetry of objects in 2D images. The method exploits a magneto-static analogy. Commencing from the gradient-field extracted from filtered grey-scale images we construct a vector-potential. Our magneto-static analogy is that tangential gradient vectors represent the elements of a current distribution on the image plane. By embedding the image plane in an augmented 3-dimensional space, we compute the vector potential by performing volume integration over the current distribution. The associated magnetic field is computed by taking the curl of the vector-potential. The auxiliary spatial dimension provides a natural scale-space sampling of the generating current distribution; as the height above the image plane is increased, so the volume over which averaging is effected also increases. We extract edge and symmetry lines through a topographic analysis of the vector-field at various heights above the image plane. Symmetry axes are lines where the curl of the vector-potential vanishes; at edges the divergence of the vector-potential vanishes. |
| Starting Page | 738 |
| Ending Page | 743 |
| File Size | 760599 |
| Page Count | 6 |
| File Format | |
| ISBN | 0818678224 |
| ISSN | 10636919 |
| DOI | 10.1109/CVPR.1997.609408 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 1997-06-17 |
| Publisher Place | USA |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Shape Magnetic separation Magnetic analysis Current distribution Distributed computing Magnetic fields Computer science Embedded computing Image sampling Image analysis |
| Content Type | Text |
| Resource Type | Article |
| Subject | Computer Vision and Pattern Recognition Software |
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