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Start Over Subject total variation

1. An algorithm for hybrid regularizers based image restoration with Poisson noise

Creator:
Pham, Cong Thang and Tran, Thi Thu Thao
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
total variation, image denoising, image deblurring, and alternating minimization method
Language:
English
Description:
In this paper, a hybrid regularizers model for Poissonian image restoration is introduced. We study existence and uniqueness of minimizer for this model. To solve the resulting minimization problem, we employ the alternating minimization method with rigorous convergence guarantee. Numerical results demonstrate the efficiency and stability of the proposed method for suppressing Poisson noise.
Rights:
http://creativecommons.org/licenses/by-nc-sa/4.0/ and policy:public

2. On metric divergences of probability measures

Creator:
Vajda, Igor
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
total variation, Hellinger divergence, Le Cam divergence, information divergence, Jensen-Shannon divergence, and metric divergences
Language:
English
Description:
Standard properties of ϕ-divergences of probability measures are widely applied in various areas of information processing. Among the desirable supplementary properties facilitating employment of mathematical methods is the metricity of ϕ-divergences, or the metricity of their powers. This paper extends the previously known family of ϕ-divergences with these properties. The extension consists of a continuum of ϕ-divergences which are squared metric distances and which are mostly new but include also some classical cases like e. g. the Le Cam squared distance. The paper establishes also basic properties of the ϕ-divergences from the extended class including the range of values and the upper and lower bounds attained under fixed total variation.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public