AFFINE GEOMETRY, CURVE FLOWS, AND INVARIANT NUMERICAL APPROXIMATIONS

Authors
CALABI E OLVER PJ TANNENBAUM A
Citation
E. Calabi et al., AFFINE GEOMETRY, CURVE FLOWS, AND INVARIANT NUMERICAL APPROXIMATIONS, Advances in mathematics, 124(1), 1996, pp. 154-196
Citations number
31
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Advances in mathematics → ACNP
ISSN journal
00018708
Volume
124
Issue
1
Year of publication
1996
Pages
154 - 196
Database
ISI
SICI code
0001-8708(1996)124:1<154:AGCFAI>2.0.ZU;2-G
Abstract
A new geometric approach to the affine geometry of curves in the plane and to affine-invariant curve shortening is presented. We describe me thods of approximating the affine curvature with discrete finite diffe rence approximations, based on a general theory of approximating diffe rential invariants of Lie group actions by joint invariants. Applicati ons to computer vision are indicated. (C) 1996 Academic Press, Inc.