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A novel group-theoretic method is presented for denoising a three-dimensional scene in isotropic noise. Images of the scene at varying depths are regarded as reference stochastic processes on the unit sphere to formulate Weiner-Hopf equations for estimating the image at any given depth. These comprise a set of coupled linear integral equations on the unit sphere and are solved using Peter-Weyl theory...
The images of a three dimensional scene taken at varying depths are regarded as reference stochastic processes on the unit sphere to formulate the normal equations for estimating the image at any given depth. These comprise a set of coupled linear integral equations on the unit sphere for the filter bank. The coefficient functions of these equations are the scene correlations which are assumed to...
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