A multiphase logic framework for multichannel image segmentation

Matthew S. Keegan, Berta Sandberg, Tony Fan-Cheong Chan · Inverse Problems and Imaging · 2012

We propose a novel framework for energy-based multiphasesegmentation over multiple channels. The framework allows the user tocombine the information from each channel as the user sees fit, and thus allows the user to define how the informationfrom each channel should influence the result. The framework extendsthe two-phase Logic Framework [J. Vis. Commun. Image R. 16 (2005)333-358] model. The logic operators of the Logic Framework are usedto define objective functions for multiple phases and a condition isdefined that prevents conflict between energy terms. This conditionprevents local minima that may occur using ad hoc methods, such as summing the objectivefunctions of each region.

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