On new types of homomorphisms and congruences for partial algebraic structures and n-ary relations
International Journal of General Systems
An Eigendecomposition Approach to Weighted Graph Matching Problems
IEEE Transactions on Pattern Analysis and Machine Intelligence
Model matching in robot vision by subgraph isomorphism
Pattern Recognition
A Bayesian compatibility model for graph matching
Pattern Recognition Letters
Fuzzy set theory—and its applications (3rd ed.)
Fuzzy set theory—and its applications (3rd ed.)
A Graduated Assignment Algorithm for Graph Matching
IEEE Transactions on Pattern Analysis and Machine Intelligence
Structural Matching by Discrete Relaxation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Graph Matching With a Dual-Step EM Algorithm
IEEE Transactions on Pattern Analysis and Machine Intelligence
Error Correcting Graph Matching: On the Influence of the Underlying Cost Function
IEEE Transactions on Pattern Analysis and Machine Intelligence
Use of random graph parsing for scene labelling by probabilistic relaxation
Pattern Recognition Letters
Fuzzy Sets and Systems: Theory and Applications
Fuzzy Sets and Systems: Theory and Applications
A Markov random field for rectilinear structure extraction in pavement distress image analysis
ICIP '95 Proceedings of the 1995 International Conference on Image Processing (Vol. 1)-Volume 1 - Volume 1
ICIP '97 Proceedings of the 1997 International Conference on Image Processing (ICIP '97) 3-Volume Set-Volume 3 - Volume 3
Applying soft computing in defining spatial relations
Pattern Recognition Letters - Special issue: Advances in pattern recognition
FReBIR: An image retrieval system based on fuzzy region matching
Computer Vision and Image Understanding
Fuzzy spatial relationships for image processing and interpretation: a review
Image and Vision Computing
International Journal of Approximate Reasoning
Multi-sensor registration for objects motion detection
Proceedings of the first ACM international workshop on Analysis and retrieval of tracked events and motion in imagery streams
Computers & Mathematics with Applications
Information Sciences: an International Journal
Computer Vision and Image Understanding
WILF'03 Proceedings of the 5th international conference on Fuzzy Logic and Applications
A constraint propagation approach to structural model based image segmentation and recognition
Information Sciences: an International Journal
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A generic definition of fuzzy morphism between graphs (GFM) is introduced that includes classical graph related problem definitions as sub-cases (such as graph and subgraph isomorphism). The GFM uses a pair of fuzzy relations, one on the vertices and one on the edges. Each relation is a mapping between the elements of two graphs. These two fuzzy relations are linked with constraints derived from the graph structure and the notion of association graph. The theory extends the properties of fuzzy relation to the problem of generic graph correspondence. We introduce two complementary interpretations of GFM from which we derive several interesting properties. The first interpretation is the generalization of the notion of association compatibility. The second is the new notion of edge morphism. One immediate application is the introduction of several composition laws. Each property has a theoretical and a practical interpretation in the problem of graph correspondence that is explained throughout the paper. Special attention is paid to the formulation of a non-algorithmical theory in order to propose a first step towards a unified theoretic framework for graph morphisms.