On the perimeter and area of fuzzy sets
Fuzzy Sets and Systems
Image enhancement and thresholding by optimization of fuzzy compactness
Pattern Recognition Letters
A defuzzification method respecting the fuzzification
Fuzzy Sets and Systems
Defuzzification: criteria and classification
Fuzzy Sets and Systems
Pattern Recognition Letters
Averaging procedures in defuzzification processes
Fuzzy Sets and Systems - Theme: Basic concepts
Defuzzification of Discrete Objects by Optimizing Area and Perimeter Similarity
ICPR '04 Proceedings of the Pattern Recognition, 17th International Conference on (ICPR'04) Volume 3 - Volume 03
Shape signatures of fuzzy star-shaped sets based on distance from the centroid
Pattern Recognition Letters
Measurements of digitized objects with fuzzy borders in 2D and 3D
Image and Vision Computing
Estimation of moments of digitized objects with fuzzy borders
ICIAP'05 Proceedings of the 13th international conference on Image Analysis and Processing
Deterministic Defuzzification Based on Spectral Projected Gradient Optimization
Proceedings of the 30th DAGM symposium on Pattern Recognition
Defuzzification of spatial fuzzy sets by feature distance minimization
Image and Vision Computing
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
Coverage segmentation based on linear unmixing and minimization of perimeter and boundary thickness
Pattern Recognition Letters
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Defuzzification of fuzzy spatial sets by feature distance minimization, recently proposed as an alternative to crisp segmentation, is studied further. Fully utilizing information available in a fuzzy (discrete) representation of a continuous shape, we present an improved defuzzification method, such that the crisp discrete representation of a fuzzy set is generated at an increased spatial resolution, compared to the resolution of the fuzzy set. The correspondence between a fuzzy and a crisp set is established through a distance between their representations based on selected features, where the different resolutions of the images to compare are taken into account. The performance of the method is tested on both synthetic and real images.