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Convex half-quadratic criteria and interacting auxiliary variables for image restoration

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1 Author(s)
J. Idier ; Lab. des Signaux et Stem., CNRS-SUPELECUPS, Gir-sur-Yvette, France

This paper deals with convex half-quadratic criteria and associated minimization algorithms for the purpose of image restoration. It brings a number of original elements within a unified mathematical presentation based on convex duality. Firstly, the Geman and Yang (1995) and Geman and Reynolds (1992) constructions are revisited, with a view to establishing the convexity properties of the resulting half-quadratic augmented criteria, when the original nonquadratic criterion is already convex. Secondly, a family of convex Gibbsian energies that incorporate interacting auxiliary variables is revealed as a potentially fruitful extension of the Geman and Reynolds construction

Published in:

IEEE Transactions on Image Processing  (Volume:10 ,  Issue: 7 )