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3D FOURIER TRANSFORMS FOR IRREGULARLY SAMPLED DATA

机译:用于不规则采样数据的3D Fourier变换

摘要

A collected data is divided into M single valued subsets, where M is greater than zero. A two-dimensional subset image is formed from each single valued subset. Then, a fast Fourier transform is performed on each image to obtain a two-dimensional subset frequency space. Next, a one-dimensional discrete Fourier transform in z, where z is an integer equal to or greater than zero, is performed. Lastly, a two-dimensional discrete Fourier transform in (x,y) for each value of z is performed, thereby forming the three-dimensional volume from the collected data set.
机译:收集的数据分为M个单值子集,其中M大于零。由每个单值子集形成一个二维子集图像。然后,对每个图像执行快速傅立叶变换以获得二维子集频率空间。接下来,执行z中的一维离散傅里叶变换,其中z是等于或大于零的整数。最后,对每个z值执行(x,y)的二维离散傅里叶变换,从而从收集的数据集中形成三维体积。

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