Rectifying transformations that minimize resampling effects

Abstract
Image rectification is the process of warping a pair of stereo images in order to align the epipolar lines with the scan-lines of the images. Once a pair of images is rectified, stereo matching can be implemented in an efficient manner. Given the epipolar geometry, it is straightforward to define a rectifying transformation, however, many transformations will lead to unwanted image distortions. In this paper, we present a novel method for stereo rectification that deter- mines the transformation that minimizes the effects of resam- pling that can impede stereo matching. The effects we seek to minimize are the loss of pixels due to under-sampling and the creation of new pixels due to over-sampling. To min- imize these effects we parameterize the family of rectifica- tion transformations and solve for the one that minimizes the change in local area integrated over the area of the images.

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