A Variational Approach to Removing Multiplicative Noise

By Gilles Aubert, Jean-François Aujol. SIAM Journal on Applied Mathematics, 2008

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Multiplicative Noise Removal Using Variable Splitting and Constrained Optimization (2009, unknown): “Experiments 1–7 reproduce the experimental setup used in [ 1 ] and [27]; experiments 8–16 follow those reported in [15].”
A Nonlinear Inverse Scale Space Method for a Convex Multiplicative Noise Model (2008, methodology): “Some interesting analysis of this model was done in [2].”
NL-SAR: A Unified Nonlocal Framework for Resolution-Preserving (Pol)(In)SAR Denoising (2015, background): “achieves the best tradeoff between data fidelity and regularity, as defined in terms of wavelets coefficients distribution [7]–[12] or total variation of the image [13]–[16].”
Restoration of Poissonian Images Using Alternating Direction Optimization (2010, background): “Finally, we should mention that related work on a different nonadditive noise model (multiplicative Gamma-distributed noise) can be found in [ 3 ], [6], [54].”
Modern regularization methods for inverse problems (2018, unknown): “[326, 11]), image registration problems (cf.”
A New Total Variation Method for Multiplicative Noise Removal (2009, unknown): “The results are compared with those obtained by the “AA” method proposed by Aubert and Aujol [2].”
A Tutorial on Speckle Reduction in Synthetic Aperture Radar Images (2013, methodology): “In [119], the above problem is tackled in the original intensity domain by assuming a Gamma-distributed speckle, which in turn implies a Gamma p(f |g).”