Do the ski gloves fit?

Problem Digital camera photograph is noisy.

Discussion This noise is generally modeled as a summation of Gaussian noise, constant “dark noise”, and Poisson noise. In situations where Poisson noise is the limiting factor, point process modeling of noise as spatial Poisson process can be used to estimate the signal.

Under these assumptions it comes down to: smooth over large areas when signal intensity is high, small areas when it’s low.

What more can the Poisson model yield?

• Noise characterization

  Given the above data, it is likely that the major source of the noise in typical images is mostly shot noise.

• Heli T. Hytti Characterization of digital image noise properties based on RAW data,
  Tampere Univ. of Technology (Finland)
• An ICA-Based Method for Poisson Noise Reduction
• Wavelet-based bayesian estimator for poisson noise removal from …
• Wavelets, Ridgelets and Curvelets for Poisson Noise Removal
• Lasota, S.[Slawomir], Niemiro, W.[Wojciech], A version of the Swendsen-Wang algorithm for restoration of images degraded by Poisson noise
  PR(36), No. 4, April 2003, pp. 931-941.
• Liu, J.[Juan], Moulin, P.[Pierre],
  Complexity-regularized Denoising of Poisson-corrupted Data ICIP00(Vol III: 254-257).
• H. Bourdin, E. Slezak, A. Bijaoui, M. Arnaud 2001 A multiscale regularized restoration algorithm for XMM-Newton data
• Bo Zhang, Jalal Fadili (GREYC), Jean Luc Starck (CEA Saclay), Seth W. Digel (SLAC) Fast Poisson Noise Removal by Biorthogonal Haar Domain Hypothesis Testing
• Denoising Images with Poisson Noise Statistics
• A variational approach to reconstructing images corrupted by Poisson noise
• Multilevel Algorithm for a Poisson Noise Removal Model with Total …
• AN ADAPTIVE WINDOW APPROACH FOR POISSON NOISE REDUCTION AND STRUCTURE PRESERVING IN CONFOCAL MICROSCOPY