Continuous Choquet integrals with respect to random sets with applications to landmine detection

A hit-miss transform is defined using Choquet integrals with respect to random sets. In this context, random sets represent random shapes defined on the plane. Random sets are characterised by their capacity functional. Capacity functional is fuzzy measures. Choquet integrals with respect to random...

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Bibliographic Details
Main Authors: Gader, P.D., Wen-Hsiung Lee, Mendez-Vasquez, A.
Format: Conference Proceeding
Language:English
Subjects:
Algebra
Application software
Applied sciences
Artificial intelligence
Computer science
control theory
systems
Exact sciences and technology
Fuzzy logic
Ground penetrating radar
Image analysis
Information science
Landmine detection
Morphological operations
Shape
Stochastic processes
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Summary:A hit-miss transform is defined using Choquet integrals with respect to random sets. In this context, random sets represent random shapes defined on the plane. Random sets are characterised by their capacity functional. Capacity functional is fuzzy measures. Choquet integrals with respect to random sets are interpreted as stochastic morphological operations. Specifically, the integrals represent the average probability that sets either intersect or are contained in the random sets. Formulas are defined for random erosions and dilations of disks and annuli with Gaussian radii. Applications to landmine detection are given.
ISSN:1098-7584
DOI:10.1109/FUZZY.2004.1375788