by Dipti Prasad, Mukherjee Andrew Zisserman, Michael Brady
http://www.robots.ox.ac.uk/~vgg/vggpapers/Mukherjee94.ps.gz
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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 utilised for three distinct tasks: Firstly, determining image backprojection up to a similarity transformation ambiguity; Secondly, determining the object plane orientation (slant and tilt); Thirdly, as a test for non co-planarity amongst a collection of objects. These results are illustrated throughout with examples from
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A Proof of Theorem 1 Suppose two image curves fl and fl are images of two sides of a planar object with bilateral symmetry, and image projection can be represented by an affine transformation. Then the transformation between fl and fl has the following pr
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