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Minimal Surfaces for Stereo

  • Chris Buehler
  • Steven J. Gortler
  • Michael F. Cohen
  • Leonard McMillan
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2352)

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.

Keywords

Minimal Surface Uniqueness Constraint Dual Graph Primal Graph Spatial Complex 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Chris Buehler
    • 1
  • Steven J. Gortler
    • 2
  • Michael F. Cohen
    • 3
  • Leonard McMillan
    • 4
  1. 1.MIT/LCSUSA
  2. 2.Harvard UniversityUSA
  3. 3.Microsoft ResearchUSA
  4. 4.MIT/LCSUSA

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