Recognition of Planar Shapes Using Algebraic Invariants from Higher Degree Implicit Polynominals

Higher degree implicit polynomials and moments have been used earlier for characterizing shapes. However, computation of invariants of implicit polynomials of degree greater than four has been known to be a complex problem. In this paper, an computationally efficient method for obtaining affine invariants from coefficients of higher degree implicit polynomials has been proposed. The algorithm is based on tensors and unlike the previous works, it is not based on partial derivative forms or symbolic computation. The algebraic invariants from the higher degree implicit polynomials can be directly used for obtaining moment invariants.