A fuzzy approximation scheme or sequential learning in pattern recognition
IEEE Transactions on Systems, Man and Cybernetics
Adaptive mesh refinement computation of solidification microstructures using dynamic data structures
Journal of Computational Physics
Construction of fuzzy systems using least-squares method and genetic algorithm
Fuzzy Sets and Systems - Theme: Modeling and control
Geometrical image segmentation by the Allen-Cahn equation
Applied Numerical Mathematics
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
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Phase field model has been well acknowledged as an important method for image segmentation. This paper discussed the problem of jacquard image segmentation by approaching the phase field paradigm from a numerical approximation perspective. For fuzzy theory provides flexible and efficient techniques for dealing with conflicting optimization probelms, a novel fuzzy optimization algorithm for numerical solving of the model was proposed. To achieve global minimum of the model, a multi-start fuzzy strategy which combined a local minimization procedure with genetic algorithm was enforced. As the local minimization procedure does not guarantee optimality of search process, several random starting points need to be generated and used as input into global search process. In order to construct powerful search procedure by guidance of global exploration, genetic algorithm was applied to scatter the set of quasi-local mimizers into global positions. Experimental results show that the proposed algorithm is feasible, and reaches obvious effects in terms of jacquard image segmentation.