期刊
IEEE TRANSACTIONS ON IMAGE PROCESSING
卷 20, 期 1, 页码 99-109出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TIP.2010.2056693
关键词
Denoising; photon-limited imaging; Poisson noise; variance stabilization
资金
- Academy of Finland [213462]
- Finnish Programme for Centres of Excellence in Research [118312]
- Finland Distinguished Professor Programme [129118]
- Postdoctoral Researcher's Project
- Tampere Doctoral Programme in Information Science and Engineering (TISE)
The removal of Poisson noise is often performed through the following three-step procedure. First, the noise variance is stabilized by applying the Anscombe root transformation to the data, producing a signal in which the noise can be treated as additive Gaussian with unitary variance. Second, the noise is removed using a conventional denoising algorithm for additive white Gaussian noise. Third, an inverse transformation is applied to the denoised signal, obtaining the estimate of the signal of interest. The choice of the proper inverse transformation is crucial in order to minimize the bias error which arises when the nonlinear forward transformation is applied. We introduce optimal inverses for the Anscombe transformation, in particular the exact unbiased inverse, a maximum likelihood (ML) inverse, and a more sophisticated minimum mean square error (MMSE) inverse. We then present an experimental analysis using a few state-of-the-art denoising algorithms and show that the estimation can be consistently improved by applying the exact unbiased inverse, particularly at the low-count regime. This results in a very efficient filtering solution that is competitive with some of the best existing methods for Poisson image denoising.
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