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A multiphase logic framework for multichannel image segmentation. (English) Zbl 1235.68311
Summary: We propose a novel framework for energy-based multiphase segmentation over multiple channels. The framework allows the user to combine the information from each channel as the user sees fit, and thus allows the user to define how the information from each channel should influence the result. The framework extends the two-phase logic framework [the last two authors, J. Vis. Commun. Image Rep. 16, 333–358 (2005)] model. The logic operators of the logic framework are used to define objective functions for multiple phases and a condition is defined that prevents conflict between energy terms. This condition prevents local minima that may occur using ad hoc methods, such as summing the objective functions of each region.

MSC:
68U10 Computing methodologies for image processing
65K10 Numerical optimization and variational techniques
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