Abstract
A Modified Direct Method for the computation of the Zernike moments
is presented in this paper. The presence of many factorial terms,
in the direct method for computing the Zernike moments, makes their
computation process a very time consuming task. Although the computational
power of the modern computers is impressively increasing, the calculation
of the factorial of a big number is still an inaccurate numerical
procedure. The main concept of the present paper is that, by using
Stirling's Approximation formula for the factorial and by applying
some suitable mathematical properties, a novel, factorial-free direct
method can be developed. The resulted moments are not equal to those
computed by the original direct method, but they are a sufficiently
accurate approximation of them. Besides, their variability does not
affect their ability to describe uniquely and distinguish the objects
they represent. This is verified by pattern recognition simulation
examples.
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