Robust Surface Fitting from Two Views using Restricted Correspondence

  • Authors:

  • Simon Collings;Ryszard Kozera;Lyle Noakes

  • Affiliations:

  • Schools of Mathematics and Statistics, University of Western Australia, Crawley, Australia 6009 and Schools of Computer Science and Software Engineering, University of Western Australia, Crawley, ...;Schools of Computer Science and Software Engineering, University of Western Australia, Crawley, Australia 6009 and Faculty of Mathematics and Natural Sciences, University of Cardinal Wyszynski, Wa ...;Schools of Mathematics and Statistics, University of Western Australia, Crawley, Australia 6009

  • Venue:
  • Journal of Mathematical Imaging and Vision
  • Year:
  • 2009

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Abstract

The restricted correspondence problem is the task of solving the classical stereo correspondence problem when the surface being observed is known to belong to a family of surfaces that vary in a known way with one or more parameters. Under this constraint the surface can be extracted far more robustly than by classical stereo applied to an arbitrary surface, since the problem is solved semi-globally, rather than locally for each epipolar line. Here, the restricted correspondence problem is solved for two examples, the first being the extraction of the parameters of an ellipsoid from a calibrated stereo pair. The second example is the estimation of the osculating paraboloid at the frontier points of a convex object.