Minimal Surfaces for Stereo

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Minimal Surfaces for Stereo

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Title: Minimal Surfaces for Stereo
Author: Cohen, Michael F.; Buehler, Chris; Gortler, Steven; McMillan, Leonard

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Citation: Buehler, Chris, Steven J. Gortler, Michael F. Cohen, and Leonard McMillan. 2002. Minimal surfaces for stereo. In Proceedings of the Seventh European Conference on Computer Vision (ECCV), Copenhagen, Denmark, May 28-31, 2002, ed. European Conference on Computer Vision and Anders Heyden, 1-14. Lecture Notes In Computer Science 2352. Berlin: Springer.
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Abstract: Determining shape from stereo has often been posed as a global minimization problem. Once formulated, the minimization problems are then solved with a variety of algorithmic approaches. These approaches include techniques such as dynamic programming min-cut and alpha-expansion. In this paper we show how an algorithmic technique that constructs a discrete spatial minimal cost surface can be brought to bear on stereo global minimization problems. This problem can then be reduced to a single min-cut problem. We use this approach to solve a new global minimization problem that naturally arises when solving for three-camera (trinocular) stereo. Our formulation treats the three cameras symmetrically, while imposing a natural occlusion cost and uniqueness constraint.
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