Minimal Surfaces for Stereo

  • Authors:
  • Chris Buehler;Steven J. Gortler;Michael F. Cohen;Leonard McMillan

  • Affiliations:
  • -;-;-;-

  • Venue:
  • ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part III
  • Year:
  • 2002

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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.