EFFICIENT COMPUTATION OF ALGEBRAIC INVARIANTS FROM HIGHER-DEGREE IMPLICIT POLYNOMIALS USING TENSOR-BASED REPRESENTATION

Higher-degree implicit polynomials and moments provide useful global d escriptors for complex curves and surfaces. In this paper a tensor-bas ed approach for obtaining Euclidean and affine invariants from coeffic ients of higher-degree implicit polynomials has been proposed. The alg orithm is an extension of the matrix-based approach by Taubin, but unl ike the previous works, it is not based on partial derivative forms or symbolic computation. Owing to the close relationship between algebra ic invariants and moment invariants, the approach is equally applicabl e to moment invariants.