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[PDF][PDF] Modern developments in the theory and applications of moving frames
PJ Olver - London Math. Soc. Impact150 Stories, 2015 - www-users.cse.umn.edu
This article surveys recent advances in the equivariant approach to the method of moving
frames, concentrating on finite-dimensional Lie group actions. A sampling from the many …
frames, concentrating on finite-dimensional Lie group actions. A sampling from the many …
[KÖNYV][B] A practical guide to the invariant calculus
EL Mansfield - 2010 - books.google.com
This book explains recent results in the theory of moving frames that concern the symbolic
manipulation of invariants of Lie group actions. In particular, theorems concerning the …
manipulation of invariants of Lie group actions. In particular, theorems concerning the …
[PDF][PDF] Moving frames-in geometry, algebra, computer vision, and numerical analysis
PJ Olver - London Mathematical Society Lecture Note Series, 2001 - Citeseer
Moving Frames | in Geometry, Algebra, Computer Vision, and Numerical Analysis Page 1
Moving Frames | in Geometry, Algebra, Computer Vision, and Numerical Analysis Peter J …
Moving Frames | in Geometry, Algebra, Computer Vision, and Numerical Analysis Peter J …
Smooth and algebraic invariants of a group action: local and global constructions
We provide an algebraic formulation of the moving frame method for constructing local
smooth invariants on a manifold under an action of a Lie group. This formulation gives rise to …
smooth invariants on a manifold under an action of a Lie group. This formulation gives rise to …
Computation of canonical forms for ternary cubics
In this paper we conduct a careful study of the equivalence classes of ternary cubics under
general complex linear changes of variables. Our new results are based on the method of …
general complex linear changes of variables. Our new results are based on the method of …
Recursive moving frames
PJ Olver - Results in Mathematics, 2011 - Springer
A recursive algorithm for the equivariant method of moving frames, for both finite-
dimensional Lie group actions and Lie pseudo-groups, is developed and illustrated by …
dimensional Lie group actions and Lie pseudo-groups, is developed and illustrated by …
Lectures on moving frames
PJ Olver - Symmetries and Integrability of Difference Equations, D …, 2011 - books.google.com
Lectures on moving frames Page 225 8 Lectures on Moving Frames Peter J. Olvera Abstract
This chapter presents the equivariant method of moving frames for finite-dimensional Lie group …
This chapter presents the equivariant method of moving frames for finite-dimensional Lie group …
A survey of moving frames
PJ Olver - International Workshop on Mathematics Mechanization, 2004 - Springer
LNCS 3519 - A Survey of Moving Frames Page 1 A Survey of Moving Frames Peter J. Olver
School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA olver@umn.edu …
School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA olver@umn.edu …
Differential signatures of algebraic curves
In this paper, we adapt the differential signature construction to the equivalence problem for
complex plane algebraic curves under the actions of the projective group and its subgroups …
complex plane algebraic curves under the actions of the projective group and its subgroups …
Joint differential invariants of binary and ternary forms
We use moving frames to construct and classify the joint invariants and joint differential
invariants of binary and ternary forms. In particular, we prove that the differential invariant …
invariants of binary and ternary forms. In particular, we prove that the differential invariant …