Discontinuities in MRFs
Smoothness is a generic assumption underlying a wide range of physical phenomena. It characterizes the coherence and homogeneity of matter within a scope of space (or an interval of time). It is one of the most còmmon assumptions in computer vision models, in particular, those formulated in terms of Markov random fields (MRFs) (Geman and Geman 1984; Elliott et al. 1984; Marroquin 1985) and regularization (Poggio et al. 1985). Its applications are seen widely in image restoration, surface reconstruction, optical flow and motion, shape from X, texture, edge detection, region segmentation, visual integration and so on.
KeywordsEuler Equation Markov Random Field Minimal Description Length Line Process Smoothness Constraint
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