Joint Invariant Signatures

Peter J. Olver

Research output: Contribution to journalArticlepeer-review

83 Scopus citations


A new, algorithmic theory of moving frames is applied to classify joint invariants and joint differential invariants of transformation groups. Equivalence and symmetry properties of submanifolds are completely determined by their joint signatures, which are parametrized by a suitable collection of joint invariants and/or joint differential invariants. A variety of fundamental geometric examples are developed in detail. Applications to object recognition problems in computer vision and the design of invariant numerical approximations are indicated.

Original languageEnglish (US)
Pages (from-to)3-67
Number of pages65
JournalFoundations of Computational Mathematics
Issue number1
StatePublished - Feb 2001

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