"We consider a simple statistical model of the image, in which the image is represented as a sum of two parts: one part is explained by an i.i.d. color Gaussian mixture and the other part by a (piecewise-) smooth grayscale shading function. The smoothness is ensured by a quadratic (Tikhonov) or total variation regularization. We derive an EM algorithm to estimate simultaneously the parameters of the mixture model and the shading. Our algorithms for both kinds of the regularization solve for shading and mean parameters of the mixture model jointly."@en . "2"^^ . "Joint Image GMM and Shading MAP Estimation"@en . "265595" . "[5760C58911A5]" . "Joint Image GMM and Shading MAP Estimation"@en . "P(1M0567), P(7E10044), R" . "IEEE Computer Society Press" . . "2"^^ . . "Hlav\u00E1\u010D, V\u00E1clav" . . . . . . "4"^^ . "Los Alamitos" . "Joint Image GMM and Shading MAP Estimation" . . "1051-4651" . . . "Istambul" . . . "Joint Image GMM and Shading MAP Estimation" . "2010-08-23+02:00"^^ . . . . . . "EM algorithm; color Gaussian mixture; image GMM; image representation; parameter estimation; piecewise-smooth gray scale shading function; quadratic regularization; shading MAP estimation; statistical model; total variation regularization; Gaussian processes"@en . . "Shekhovtsov, Oleksandr" . . . "21230" . . . . "ICPR'2010: Proceedings of the 20th International Conference on Pattern Recognition" . "978-0-7695-4109-9" . . . "RIV/68407700:21230/10:00175525" . "RIV/68407700:21230/10:00175525!RIV11-MSM-21230___" . "We consider a simple statistical model of the image, in which the image is represented as a sum of two parts: one part is explained by an i.i.d. color Gaussian mixture and the other part by a (piecewise-) smooth grayscale shading function. The smoothness is ensured by a quadratic (Tikhonov) or total variation regularization. We derive an EM algorithm to estimate simultaneously the parameters of the mixture model and the shading. Our algorithms for both kinds of the regularization solve for shading and mean parameters of the mixture model jointly." . . .