INVARIANTS OF FAMILIES OF COPLANAR CONICS AND THEIR APPLICATIONS TO OBJECT RECOGNITION

This paper presents mutual invariants of families of coplanar conics. These invariants are compared with the use of invariants of two conics and a case is presented where the proposed invariants have a greater discriminating power than the previously used invariants. The use of i nvariants for two conics is extended to any number of coplanar conics. A lambda-matrix is associated with each family of coplanar conics. Th e use of lambda-matrices is extended from the single variable polynomi al to multi-variable polynomials, The Segre characteristic and other i nvariants of the lambda-matrix are used as invariants of the family of conics.