Abstract

Moment invariants are important shape descriptors in computer vision. The method of decomposing the trigonometric function is suggested to obtain various moment invariants. Based on this method, the “multi-filter” algorithm is introduced as an efficient way to generate large numbers of moment invariants. A great deal of repeated computation on sub-polynomial is avoided. General explicit constructions of basic moment invariants are also provided. Furthermore, the proposed magnitude-normalized method makes invariants more stable and easier for classification.

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