Generalized multidimensional orthogonal polynomials with applications to shape analysis
J. Xu, Yee‐Hong Yang · IEEE Transactions on Pattern Analysis and Machine Intelligence · 1990
A technique using the generalized multidimensional orthogonal polynomials (GMDOP) for 2-D shape analysis is proposed. In shape analysis, spatial invariances (i.e. translational invariance, scaling invariance, rotational invariance, etc.) are important requirements for a shape analysis algorithm. The described technique provides not only the three invariant properties but also mirror-image rotational invariance and permutational invariance. Experimental results supporting the theory are presented.>