Piecewise Approximation of Pictures Using Maximal Neighborhoods
IEEE Transactions on Computers
A Min-Max Medial Axis Transformation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Thinning Algorithms for Gray-Scale Pictures
IEEE Transactions on Pattern Analysis and Machine Intelligence
Representation of Uncertainty in Computer Vision Using Fuzzy Sets
IEEE Transactions on Computers
Some results concerning connected fuzzy digital pictures
Pattern Recognition Letters
An optimal algorithm to find the degrees of connectedness in an undirected edge-weighted graph
Pattern Recognition Letters
Some shape definitions in fuzzy geometry of space
Pattern Recognition Letters
Using connected components to guide image understanding and segmentation
Machine Graphics & Vision International Journal
Shape signatures of fuzzy star-shaped sets based on distance from the centroid
Pattern Recognition Letters
Detecting and tracking regional outliers in meteorological data
Information Sciences: an International Journal
Aspects on the reverse fuzzy distance transform
Pattern Recognition Letters
A hidden Markov model-based character extraction method
Pattern Recognition
Weighted fusion graphs: Merging properties and watersheds
Discrete Applied Mathematics
FReBIR: An image retrieval system based on fuzzy region matching
Computer Vision and Image Understanding
Computer Vision and Image Understanding
Watersheds, mosaics, and the emergence paradigm
Discrete Applied Mathematics - Special issue: Advances in discrete geometry and topology (DGCI 2003)
Fuzzy sets in pattern recognition and machine intelligence
Fuzzy Sets and Systems
Measurements of digitized objects with fuzzy borders in 2D and 3D
Image and Vision Computing
Fuzzy spatial relationships for image processing and interpretation: a review
Image and Vision Computing
Fuzzy clustering algorithms for unsupervised change detection in remote sensing images
Information Sciences: an International Journal
Defuzzification of spatial fuzzy sets by feature distance minimization
Image and Vision Computing
The maximal distance between imprecise point objects
Fuzzy Sets and Systems
SMI 2011: Full Paper: Geometric models with weigthed topology
Computers and Graphics
Pattern Recognition Letters
Core-line tracing for fuzzy image subsets
Pattern Recognition Letters
Linear fuzzy space based road lane model and detection
Knowledge-Based Systems
A comparative study of fuzzy thresholding techniques for mass detection in digital mammography
Proceedings of the 27th Conference on Image and Vision Computing New Zealand
A parallel thinning algorithm for grayscale images
DGCI'13 Proceedings of the 17th IAPR international conference on Discrete Geometry for Computer Imagery
A constraint propagation approach to structural model based image segmentation and recognition
Information Sciences: an International Journal
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In pattern recognition we often want to measure geometric properties of regions in an image, but these regions are not always 'crisply' defined; it is sometimes more appropriate to regard them as fuzzy subsets of the image. Many of the basic geometric properties of and relationships among regions can be generalized to fuzzy sets; these include connectedness, adjacency and surroundedness, starshapedness and convexity, area and perimeter, extent and diameter. This paper summarizes past work on such fuzzy geometric concepts, and also includes some new results.