MREM: Multiresolution Regularized Expectation Maximization Algorithm
for Image Reconstruction of Poisson Data
D. D. Dixon
The Expectation Maximization Maximum Likelihood (EMML) algorithm
(also known as Richardson-Lucy) provides a Maximum Likelihood (ML)
image estimate from Poisson data affected by a non-trivial instrumental
response (e.g., PSF). However, like all such ML estimates, it suffers from
noise amplification, necessitating some degree of regularization to extract
scientifically useful data. Here, we describe a regularization utilizing wavelet
threshholding of the EM correction factors, coupled with progressive
admittance of wavelets from large to small scales. We term the
resultant iteration Multiresolution Regularized Expectation Maximization,
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On 16 Jul 1999, 09:19.