Multidimensional Fourier Interpolation and Fast Fourier Transforms

Pub Date : 2024-07-17 DOI:10.1134/S1064562424702065
Yu. A. Basalov, N. N. Dobrovolsky, V. N. Chubarikov
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Abstract

It is proved that the coefficients of the interpolation polynomial over a parallelepipedal grid for a multidimensional function are equal to the coefficients of the interpolation polynomial over a uniform grid for a one-dimensional function. These coefficients can be obtained by applying the fast Fourier transform based on various schemes.

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多维傅里叶插值和快速傅里叶变换
摘要 证明了多维函数在平行四边形网格上的插值多项式系数等于一维函数在均匀网格上的插值多项式系数。这些系数可以通过基于各种方案的快速傅立叶变换获得。
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