Invariants of Families of Coplanar Conics and Their Applications to Object Recognition

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.