A discrete orthogonal transform based on spherical harmonics

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摘要

A discrete orthogonal transform of a discrete function defined on a sphere, based on spherical harmonics, is proposed. Analogy with the discrete Fourier transform is stressed. Its use for filtering, compressing and estimating the spectrum of an isotropic random field defined on a sphere is illustrated.

论文关键词:Orthogonal matrices,random fields,spectral analysis

论文评审过程:Received 8 October 1989, Revised 4 April 1990, Available online 25 March 2002.

论文官网地址:https://doi.org/10.1016/0377-0427(90)90253-V