The Epipolar Geometry of the Log-Polar Image Plane

Authors:
Konrad Schindler;Horst Bischof
Affiliations:
Graz University of Technology, Austria;Graz University of Technology, Austria
Venue:
ICPR '04 Proceedings of the Pattern Recognition, 17th International Conference on (ICPR'04) Volume 4 - Volume 04
Year:
2004

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Abstract

This paper presents an explicit formulation of the epipolar geometry of two oriented log-polar images.A method is derived for efficient pixel-by-pixel computation of epipolar lines in the log-polar plane, which are complicated non-linear functions.As an example, the method is applied for dense stereo matching: it is shown that it is more efficient to perform one-dimensional disparity estimation in the log-polar plane than to remap the images to Cartesian coordinates.