Shape from symmetry: detecting and exploiting symmetry in affine images
- 15 April 1995
- journal article
- research article
- Published by The Royal Society in Philosophical Transactions A
- Vol. 351 (1695) , 77-106
- https://doi.org/10.1098/rsta.1995.0026
Abstract
We investigate the constraints placed on the image projection of a planar object having local reflectional symmetry. Under the affine approximation to projection, we demonstrate an efficient (low-complexity) algorithm for detecting and verifying symmetries despite the distorting effects of image skewing. The symmetries are utilized for three distinct tasks: first, determining image back-projection up to a similarity transformation ambiguity; second, determining the object plane orientation (slant and tilt); and third, as a test for non-coplanarity amongst a collection of objects. These results are illustrated throughout with examples from images of real scenes.This publication has 23 references indexed in Scilit:
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