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.<>
Matching of 3-D curves using semi-differential invariants
1995-01-01
637985 byte
Conference paper
Electronic Resource
English
Matching of 3D Curves Using Semi-Differential Invariants
British Library Conference Proceedings | 1995
|Matching color uncalibrated images using differential invariants
British Library Online Contents | 2000
|Foundations of Semi-Differential Invariants
British Library Online Contents | 1995
|Semi-Local Projective Invariants for the Recognition of Smooth Plane Curves
British Library Online Contents | 1996
|IEEE | 1993
|