Matching of 3-D curves using semi-differential invariants

  • Authors:
  • T. Pajdla;L. Van Gool

  • Affiliations:
  • -;-

  • Venue:
  • ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
  • Year:
  • 1995

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Abstract

A method for matching 3-D curves under Euclidean motions is presented. Our approach uses a semi-differential invariant description requiring only first derivatives and one reference point, thus avoiding the computation of high order derivatives. A novel curve similarity measure building on the notion of /spl epsiv/-reciprocal correspondence is proposed. It is shown that by combining /spl epsiv/-reciprocal correspondence with the robust least median of squares motion estimation, the registration of partially occluded curves can be accomplished. An experiment with real curves extracted from 3-D surfaces demonstrates that curve matching can be successfully performed even on data from a simple and cheap 3-D sensor.