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Mathematical Morphology

2013
Mathematical Morphology allows for the analysis and processing of geometrical structures using techniques based on the fields of set theory, lattice theory, topology, and random functions. It is the basis of morphological image processing, and finds applications in fields including digital image processing (DSP), as well as areas for graphs, surface ...
Najman, Laurent, Talbot, Hugues
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Hypercomplex Mathematical Morphology

Journal of Mathematical Imaging and Vision, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Spatially-Variant Mathematical Morphology

Proceedings of 1st International Conference on Image Processing, 1996
In this paper, we present a comprehensive theory of spatially-variant (SV) mathematical morphology. A kernel representation of increasing operators in terms of the union (resp., intersection) of SV erosions (resp., SV dilations) is provided. A representation of algebraic openings (resp., algebraic closings) in terms of the union (resp., intersection ...
M. Charif-Chefchaouni, D. Schonfeld
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Mathematical Morphology

2002
Mathematical morphology is a powerful methodology for processing and analysing the shape and form of objects in images. The advances in this area of science allow for application in the digital recognition and modeling of faces and other objects by computers. Mathematical Morphology is comprehensive work that provides a broad sampling
Hugues Talbot, Richard Beare
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General sweep mathematical morphology

Pattern Recognition, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shih, Frank Y., Gaddipati, Vijayalakshmi
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ANALYTICAL MORPHOLOGY: MATHEMATICAL MORPHOLOGY OF DECISION TABLES

Fundamenta Informaticae, 1996
We propose a method called analytical morphology for data filtering. The method was created on the basis of some ideas of rough set theory and mathematical morphology. Mathematical morphology makes an essential use of geometric structure of objects while the aim of our method is to provide tools for data filtering when there is no directly available ...
Skowron, Andrzej, Polkowski, Lech
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Computational mathematical morphology

Signal Processing, 1994
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Dougherty, Edward R., Sinha, Divyendu
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Fuzzy mathematical morphology

Annals of Mathematics and Artificial Intelligence, 1994
A new morphology is proposed which uses fuzzy structuring elements and is internal on fuzzy sets. It is fully compatible with conventional morphology which uses binary structuring elements, either on binary or on grey-tone sets. The properties of the two basic operations, fuzzy dilation and fuzzy erosion, are presented.
Isabelle Bloch, Henri Ma�tre
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Beyond Mathematical Morphology

SPIE Proceedings, 1987
We present an algebraic structure, known as the AFATL (Air Force Armament Technical Laboratory) Image Algebra, that is capable of expressing all image-to-image transformations. After presenting a brief overview of the operands and operations of the algebra, we show how a subalgebra of the full Image Algebra generalizes the theory of mathematical ...
G. X. Ritter   +2 more
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Fuzzy mathematical morphology

Journal of Visual Communication and Image Representation, 1992
The original extension of binary mathematical morphology to the gray scale is based upon the lattice-theoretic supremum and infimum operations, its geometric genesis being framed in terms of the umbra transform. Abstract formulation of the mathematical theory is set in the context of complete lattices; nonetheless, as applied to the Euclidean gray ...
Divyendu Sinha, Edward R. Dougherty
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