Skip to main content
SpringerLink
Log in

Joint Invariant Signatures

  • Published:
Foundations of Computational Mathematics Aims and scope Submit manuscript

Abstract

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. School of Mathematics University of Minnesota Minneapolis, MN 55455, USA olver@ima.umn.edu http://www.math.umn.edu/~olver, US

    Peter J. Olver

Authors
  1. Peter J. Olver
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

August 25, 1999. Final version received: May 3, 2000. Online publication: xxxx.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Olver, P. Joint Invariant Signatures. Found. Comput. Math. 1, 3–68 (2001). https://doi.org/10.1007/s10208001001

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10208001001

Search

Navigation