Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 5th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 5–12, 2003. Sofia: Bulgarian Academy of Sciences (ISBN 954-84952-8-7/pbk). 67-80 (2004).
Since the method of moving frames was introduced by G. Darboux and developed by E. Cartan it has become a powerful tool for discussing geometric properties of submanifolds with respect to a transformation group in differential geometry. A new approach to moving frames, defining them as equivariant maps from the manifold
to the Lie group acting on
is due to the author. The present paper is a good survey of one of the main contributors to the theory of moving frames indicating applications in geometry, computer vision, classical invariant theory and numerical analysis.
|53A05||Surfaces in Euclidean space|
|53-02||Research monographs (differential geometry)|
|53A55||Differential invariants (local theory), geometric objects|
|65D17||Computer aided design (modeling of curves and surfaces)|
|68U05||Computer graphics; computational geometry|
|53A04||Curves in Euclidean space|