Robust object recognition based on implicit algebraic curves and surfaces

D. Keren, J. Subrahmonia, D. B. Cooper

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Two problems pertinent to using implicit higher degree polynomials in real-world robust systems are dealt with: (1) characterization and fitting algorithms for the subset of these algebraic curves and surfaces that is bounded and exists largely in the vicinity of the data; (2) a Mahalanobis distance for comparing the coefficients of two polynomials, to determine whether the curves or surfaces that they represent are close over a specified region. These tools make practical use of geometric invariants for determining whether one implicit polynomial curve or surface is a rotation, translation, or an affine transformation of another. The approach is ideally suited to smooth curves and smooth curved surfaces that do not have detectable features.

Original languageEnglish
Title of host publicationProceedings CVPR 1992 - IEEE Computer Society Conference on Computer Vision and Pattern Recognition
PublisherIEEE Computer Society
Pages791-794
Number of pages4
ISBN (Electronic)0818628553
DOIs
StatePublished - 1992
Externally publishedYes
Event1992 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, CVPR 1992 - Champaign, United States
Duration: 15 Jun 199218 Jun 1992

Publication series

NameProceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition
Volume1992-June
ISSN (Print)1063-6919

Conference

Conference1992 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, CVPR 1992
Country/TerritoryUnited States
CityChampaign
Period15/06/9218/06/92

Bibliographical note

Publisher Copyright:
© 1992 IEEE.

ASJC Scopus subject areas

  • Software
  • Computer Vision and Pattern Recognition

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