IEEE Trans Image Process - A direct approach toward global minimization for multiphase labeling and segmentation problems.

Tópicos

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Resumo

This paper intends to extend the minimization algorithm developed by Bae, Yuan and Tai [IJCV, 2011] in several directions. First, we propose a new primal-dual approach for global minimization of the continuous Potts model with applications to the piecewise constant Mumford-Shah model for multiphase image segmentation. Different from the existing methods, we work directly with the binary setting without using convex relaxation, which is thereby termed as a direct approach. Second, we provide the sufficient and necessary conditions to guarantee a global optimum. Moreover, we provide efficient algorithms based on a reduction in the intermediate unknowns from the augmented Lagrangian formulation. As a result, the underlying algorithms involve significantly fewer parameters and unknowns than the naive use of augmented Lagrangian-based methods; hence, they are fast and easy to implement. Furthermore, they can produce global optimums under mild conditions.

Resumo Limpo

paper intend extend minim algorithm develop bae yuan tai ijcv sever direct first propos new primaldu approach global minim continu pott model applic piecewis constant mumfordshah model multiphas imag segment differ exist method work direct binari set without use convex relax therebi term direct approach second provid suffici necessari condit guarante global optimum moreov provid effici algorithm base reduct intermedi unknown augment lagrangian formul result under algorithm involv signific fewer paramet unknown naiv use augment lagrangianbas method henc fast easi implement furthermor can produc global optimum mild condit

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