Geometric moment invariants

✍ Scribed by Dong Xu; Hua Li

• Book ID: 103878924
• Publisher: Elsevier Science
• Year: 2008
• Tongue: English
• Weight: 288 KB
• Volume: 41
• Category: Article
• ISSN: 0031-3203
• DOI: 10.1016/j.patcog.2007.05.001

✦ Synopsis

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.