ISSN : 1796-217X
Volume : 4    Issue : 1    Date : February 2009

Image Rectification Using Affine Epipolar Geometric Constraint
Liansheng Sui, Jiulong Zhang, and Duwu Cui
Page(s): 26-33
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To rapidly and accurately search the corresponding points along scan-lines, rectification of stereo
pairs are performed so that corresponding epipolar lines are parallel to the horizontal scan-lines
and the difference in vertical direction is zero. In this paper, the method to rectify image pairs could
be divided into three steps including projective transformation, affine transformation and shearing
transformation. The projective transformation matrix is computed under the affine epipolar geometry
constraint, and the values of unknown parameters are searched by an algorithm which does not
require the relative matrix be positive definite. In this paper, an optimization function is presented to
remove the difference in vertical direction and an algorithm is developed to estimate initial values of
some parameters such as scale weights and vertical offset.

Index Terms
image rectification, affine epipolar geometric constraint, epipolar geometry