Acta Applicandae Mathematica

, Volume 51, Issue 2, pp 161–213

Moving Coframes: I. A Practical Algorithm

  • Mark Fels
  • Peter J. Olver

DOI: 10.1023/A:1005878210297

Cite this article as:
Fels, M. & Olver, P.J. Acta Applicandae Mathematicae (1998) 51: 161. doi:10.1023/A:1005878210297


This is the first in a series of papers devoted to the development and applications of a new general theory of moving frames. In this paper, we formulate a practical and easy to implement explicit method to compute moving frames, invariant differential forms, differential invariants and invariant differential operators, and solve general equivalence problems for both finite-dimensional Lie group actions and infinite Lie pseudo-groups. A wide variety of applications, ranging from differential equations to differential geometry to computer vision are presented. The theoretical justifications for the moving coframe algorithm will appear in the next paper in this series.

moving framedifferential invariantLie groupLie pseudogroupequivalencesymmetrycomputer vision

Copyright information

© Kluwer Academic Publishers 1998

Authors and Affiliations

  • Mark Fels
  • Peter J. Olver

There are no affiliations available