Geometric moment invariants

Authors:
Dong Xu;Hua Li
Affiliations:
Key Laboratory of Intelligent Information Processing, Institute of Computing Technology, Chinese Academy of Sciences, P.O. Box 2704, Beijing 100080, PR China and Key Laboratory of Computer System ...;Key Laboratory of Intelligent Information Processing, Institute of Computing Technology, Chinese Academy of Sciences, P.O. Box 2704, Beijing 100080, PR China and Key Laboratory of Computer System ...
Venue:
Pattern Recognition
Year:
2008

Citing 19
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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.