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.
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Heisterkamp, D.R., Bhattacharya, P. Invariants of Families of Coplanar Conics and Their Applications to Object Recognition. Journal of Mathematical Imaging and Vision 7, 253–267 (1997). https://doi.org/10.1023/A:1008230528693
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DOI: https://doi.org/10.1023/A:1008230528693