Extension of Affine Shape

  • Authors:
  • Rikard Berthilsson;Kalle Åström

  • Affiliations:
  • Centre for Mathematical Sciences, Lund University, Box 118, 221 00 Lund, Sweden. rikard@maths.lth.se;Centre for Mathematical Sciences, Lund University, Box 118, 221 00 Lund, Sweden. kalle@maths.lth.se

  • Venue:
  • Journal of Mathematical Imaging and Vision
  • Year:
  • 1999

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Abstract

In this paper, we extend the notion of affine shape, introduced bySparr, from finite point sets to more general sets. It turns out to bepossible to generalize most of the theory. The extension makes it possibleto reconstruct, for example, 3D-curves up to projective transformations,from a number of their 2D-projections. An algorithm is presented, which isindependent of choice of coordinates, is robust, does not rely on anypreselected parameters and works for an arbitrary number of images. Inparticular this means that a solution is given to the aperture problem offinding point correspondences between curves.