期刊
INTERNATIONAL JOURNAL OF COMPUTER VISION
卷 40, 期 3, 页码 235-248出版社
KLUWER ACADEMIC PUBL
DOI: 10.1023/A:1008139427340
关键词
curvature; torsion; object recognition; differential invariant; joint invariant; signature curve; Euclidean group; equi-affine group; numerical approximation
Corrected versions of the numerically invariant expressions for the affine and Euclidean signature of a planar curve introduced by Calabi et al. in (Int. J. Comput. Vision, 26: 107-135, 1998) are presented. The new formulas are valid for fine but otherwise arbitrary partitions of the curve. We also give numerically invariant expressions for the four differential invariants parameterizing the three dimensional version of the Euclidean signature curve, namely the curvature, the torsion and their derivatives with respect to arc length.
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