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.
%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
}