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Fourier coefficients of the generalized spherical function and an exemplary computer program
Author(s) -
Pospiech J.,
Jura J.
Publication year - 1975
Publication title -
kristall und technik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.377
H-Index - 64
eISSN - 1521-4079
pISSN - 0023-4753
DOI - 10.1002/crat.19750100713
Subject(s) - fourier transform , fortran , fourier series , function (biology) , dimension (graph theory) , mathematics , fourier analysis , discrete fourier series , computation , computer program , mathematical analysis , formalism (music) , algorithm , computer science , pure mathematics , fractional fourier transform , art , musical , evolutionary biology , visual arts , biology , operating system
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.