Algorithm 813: SPG—Software for Convex-Constrained Optimization
ACM Transactions on Mathematical Software (TOMS)
Nonmonotone Spectral Projected Gradient Methods on Convex Sets
SIAM Journal on Optimization
Feature based defuzzification in ℤ2 and ℤ3 using a scale space approach
DGCI'06 Proceedings of the 13th international conference on Discrete Geometry for Computer Imagery
Feature based defuzzification at increased spatial resolution
IWCIA'06 Proceedings of the 11th international conference on Combinatorial Image Analysis
Coverage segmentation based on linear unmixing and minimization of perimeter and boundary thickness
Pattern Recognition Letters
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We apply deterministic optimization based on Spectral Projected Gradient method in combination with concave regularization to solve the minimization problem imposed by defuzzification by feature distance minimization. We compare the performance of the proposed algorithm with the methods previously recommended for the same task, (non-deterministic) simulated annealing and (deterministic) DC based algorithm. The evaluation, including numerical tests performed on synthetic and real images, shows advantages of the new method in terms of speed and flexibility regarding inclusion of additional features in defuzzification. Its relatively low memory requirements allow the application of the suggested method for defuzzification of 3D objects.