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Fast algorithm for generation of moment invariants

✍ Scribed by Liu Jin; Zhang Tianxu


Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
292 KB
Volume
37
Category
Article
ISSN
0031-3203

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✦ Synopsis


Moment invariants are important shape descriptors in computer vision. The method of decomposing the trigonometric function is suggested to obtain various moment invariants. Based on this method, the "multi-ΓΏlter" algorithm is introduced as an ecient way to generate large numbers of moment invariants. A great deal of repeated computation on sub-polynomial is avoided. General explicit constructions of basic moment invariants are also provided. Furthermore, the proposed magnitude-normalized method makes invariants more stable and easier for classiΓΏcation.


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Consider an n X n lower triangular matrix L whose (i + l)st row is defined by the coefficients of the real polynomial pi(x) of degree i such that {p,(x)} is's set of orthogonal polynomials satisfying a standard three-term recurrence relation. If H is an n X n real Hankel matrix with nonsingular lead