Invariants of Families of Coplanar Conics and Their Applicationsto Object Recognition

  • Authors:
  • Douglas R. Heisterkamp;Prabir Bhattacharya

  • Affiliations:
  • Department of Computer Science and Engineering, University of Nebraska-Lincoln, Lincoln NE 68588-0115. E-mail: drh@cse.unl.edu, prabir@cse.unl.edu;Department of Computer Science and Engineering, University of Nebraska-Lincoln, Lincoln NE 68588-0115. E-mail: drh@cse.unl.edu, prabir@cse.unl.edu

  • Venue:
  • Journal of Mathematical Imaging and Vision
  • Year:
  • 1997

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Abstract

This paper presents mutual invariants of families ofcoplanar conics. These invariants are compared with the use ofinvariants of two conics and a case is presented where the proposedinvariants have a greater discriminating power than the previouslyused invariants. The use of invariants for two conics is extended toany number of coplanar conics. A lambda-matrix is associated witheach family of coplanar conics. The use of lambda-matrices isextended from the single variable polynomial to multi-variablepolynomials. The Segre characteristic and other invariants of thelambda-matrix are used as invariants of the family of conics.