Abstract

This paper derives moment invariants in an intuitive way by multiple integrals of invariant geometric primitives like distance, area and volume. Many existing 2-D and 3-D moment invariants are re-expressed to prove the correctness of this method. Furthermore, this construction method can be easily extended to higher dimensional space and get higher-order moment invariants. Explicit expressions of 3-D moment invariants are generated automatically with the help of symbolic computation software and can be regarded as a kind of shape descriptor for the representation of solid objects.

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DOI:
10.1016/j.patcog.2007.05.001
BibTeX key:
Xu2008
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