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 for 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 invariants is extended to any number of coplanar conics. A lambda-matrix is associated with each family of coplanar conics. The use of lambda-matrices is extended from the single-variable polynomial to multivariable polynomials. The Segre characteristic and other invariants of the lambda-matrix are used as invariants of the family of conics