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Fourier coefficients of the generalized spherical function and an exemplary computer program

✍ Scribed by J. Pospiech; J. Jura

Publisher
John Wiley and Sons
Year
1975
Tongue
English
Weight
233 KB
Volume
10
Category
Article
ISSN
0232-1300

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✦ Synopsis

Abstract

The mathematical formalism of quantitative texture analysis uses generalized spherical functions. Owing to the complexity of computations it is very important to make an appropriate choice of the method of employing these functions. In this paper there is presented a method of determining the Fourier coefficients of the generalized spherical function. It makes use of the function definition in a direct manner, and not via intermediate coefficient sets as reported heretofore. As special cases it also gives the Fourier coefficients of lower‐dimension functions. – There is given an example of a computer program written in FORTRAN IV. This program computes the values of the Fourier coefficients of the generalized spherical function according to the method presented in the paper.

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