Conduct the two dimensional Fourier expansion by using fast Fourier transformation.
A is a two dimensional numerical matrix.
Conduct the two dimensional Fourier expansion by using fast Fourier transformation. To make the results comparable, be sure to transform all the intensity values of each image pixel should be between 0 and 1.
The two dimensional Fourier expansion of the input matrix
Lin N, Jiang J, Guo S, Xiong M (2015) Functional Principal Component Analysis and Randomized Sparse Clustering Algorithm for Medical Image Analysis. PLoS ONE 10(7): e0132945. doi:10.1371/journal.pone.0132945
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