%0 Journal Article %1 Xu2008 %A Xu, Dong %A Li, Hua %C New York, NY, USA %D 2008 %I Elsevier Science Inc. %J Pattern Recognition (PR) %K imported %N 1 %P 240--249 %R 10.1016/j.patcog.2007.05.001 %T Geometric moment invariants %V 41 %X 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.

@article{Xu2008, 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.}, added-at = {2011-03-27T19:47:06.000+0200}, address = {New York, NY, USA}, author = {Xu, Dong and Li, Hua}, biburl = {https://www.bibsonomy.org/bibtex/20776eeb4236fb6b9742352e246802ecc/cocus}, doi = {10.1016/j.patcog.2007.05.001}, file = {:./xu2008.pdf:PDF}, interhash = {bc5d92b26234440945ec32d48fcb455e}, intrahash = {0776eeb4236fb6b9742352e246802ecc}, issn = {0031-3203}, journal = {Pattern Recognition ({PR})}, keywords = {imported}, number = 1, owner = {CK}, pages = {240--249}, publisher = {Elsevier Science Inc.}, timestamp = {2011-03-27T19:47:10.000+0200}, title = {Geometric moment invariants}, volume = 41, year = 2008 }