IS = { zkontrolovano 31 Jan 2011 },
  UPDATE  = { 2010-02-01 },
  author =   {Shekhovtsov, Alexander and Hlav{\'a}{\v c}, V{\'a}clav},
  title =    {Joint Image {GMM} and Shading {MAP} Estimation},
  institution = {Department of Cybernetics, Faculty of Electrical Engineering,
                 Czech Technical University},
  address =  {Prague, Czech Republic},
  year =     {2010},
  month =    {January},
  type =     {Research Report},
  number =   {K333--35/10, CTU--CMP--2010--03},
  issn =     {1213-2365},
  pages =    {15},
  figures =  {4},
  psurl =  {[Shekhovtsov-TR-2010-03.pdf]},
  project =  {ICT-215078 DIPLECS, 1M0567},
  annote = {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
    is a (piecewise-)smoothly varying 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 solve for shading and mean parameters of
    the mixture model jointly for both kinds of the regularization.},
  keywords =  {Total variation, decomposition, shading, retinex},