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Topic: Mathematical morphology

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	Mathematical morphology operators
		Dilation and erosion are the basic operators of mathematical morphology [
		Symmetrical and circular structural elements (SE) play a central role in mathematical morphology in the continuous plane, because they provide an isotropic treatment of the image.
		On the other hand, for digital images, circular SE are rarely used because other shapes are easier and faster to implement.
	www.tele.ucl.ac.be /PEOPLE/OC/these/node37.html (105 words)

	Mathematical Morphology and Image Processing
		Mathematical morphology was invented in the early 1960s by Georges Matheron and Jean Serra who worked on the automatic analysis of images occurring in mineralogy and petrography.
		Mathematical morphology examines the geometrical structure of an image by probing it with small patterns, called ‘structuring elements’, of varying size and shape, just the way a blind man explores the world with his fingers or a stick.
		Mathematical morphology (nonlinear) is complementary to wavelets (linear) in that it considers images as geometrical objects rather than as elements of a linear (Hilbert) space.
	www.ercim.org /publication/Ercim_News/enw37/heijmans.html (714 words)

	Mathematical morphology - Encyclopedia, History, Geography and Biography
		Mathematical morphology (MM) is a theoretical model for digital images built upon lattice theory and topology.
		It is the foundation of morphological image processing, which is based on shift-invariant (translation invariant) operators based principally on Minkowski addition.
		Mathematical morphology was originally developed for binary images, viewed as subsets of the integer grid Z
	www.arikah.com /encyclopedia/Mathematical_morphology (144 words)

	INPE's research group on mathematical morphology
		Mathematical Morphology is a theory for analysis of spatial structures which was initiated by George Matheron and Jean Serra at the Ecole des Mines de Paris.
		It is called "Morphology" since it aims at the analysing the shape and the forms of the objects.
		It is Mathematical in the sense that the analysis is based on set theory, topology, lattice, randon functions, etc. (Serra and Soille, 1994).
	hermes.dpi.inpe.br:1905 /col/dpi.inpe.br/banon/1999/04.30.10.30/doc/Welcome.html (92 words)

	Fuzzy Soft Mathematical Morphology - Gasteratos, Andreadis, Tsalides (ResearchIndex)
		Compatibility with binary soft mathematical morphology as well as the algebraic properties of fuzzy soft operations are studied.
		17 Introduction to mathematical morphology (context) - SERRA - 1986 ACM
		5 Fuzzy mathematical morphology (context) - SHINHA, DOUGHERTY - 1992 DBLP
	citeseer.ist.psu.edu /716346.html (405 words)

	Mathematical Morphology
		Mathematical Morphology is a tool for extracting image components that are useful for representation and description.
		Morphology can provide boundaries of objects, their skeletons, and their convex hulls.
		The primary application of morphology occurs in binary images, though it is also used on grey level images.
	homepages.inf.ed.ac.uk /rbf/CVonline/LOCAL_COPIES/OWENS/LECT3/node3.html (1237 words)

	Mathematical Image Analysis Group, Saarland University
		Mathematical Morphology is a discipline with a 40-year history in image processing.
		The lectures is divided into three parts: The first part is devoted to the basic concepts and operations of classical discrete morphology for scalar images which rely on the notion of infimum and supremum, and give rise to the so-called dilation and erosion.
		Continuous non-flat morphology is the subject of the second part of the lectures.
	www.mia.uni-saarland.de /Teaching/MORPH07/morphology07.shtml (721 words)

	Journal of the Brazilian Computer Society - A Mathematical Morphology Approach to the Star/Galaxy Characterization (Site not responding. Last check: )
		By presenting an original Mathematical Morphology approach to the star/galaxy discrimination problem, we expect to renew the interest of the IPA community in astronomical applications, as well as to motivate and support multidisciplinary undertakings.
		Mathematical Morphology refers to a branch of nonlinear image processing and analysis which focuses on the geometric structure in an image.
		Mathematical Morphology was born in the sixties, with the work of Georges Matheron and Jean Serra, in France.
	www.scielo.br /scielo.php?script=sci_arttext&pid=S0104-65001997000100002 (6300 words)

	Mathematical Morphology home page (Site not responding. Last check: )
		Mathematical Morphology is a theory for analysis of spatial structures which was initiated by George Matheron and Jean Serra at the Ecole des Mines de Paris.
		It is called "Morphology" since it aims at the analysing the shape and the forms of the objects.
		It is Mathematical in the sense that the analysis is based on set theory, topology, lattice, randon functions, etc. (Serra and Soille, 1994).
	www.dpi.inpe.br /dpi/morpho/home_old (67 words)

	Mathematical Morphology Tutorial ISMM 2002 (Site not responding. Last check: )
		Mathematical morphology has proven itself as a powerful frame work for image analysis, particularly the analysis of shapes in images.
		Furthermore we discuss distance transforms, granulometries (the morphological tool to assess the the size distribution of the shapes present in an image) and the important role of convex sets in morphological shape analysis.
		This framework is introduced and related to binary morphology.
	www.cmis.csiro.au /ismm2002/morphology.htm (438 words)

	Learning Image Morphology (Site not responding. Last check: )
		Mathematical Morphology for image processing consists of applying basic set operations to an image.
		Mathematical Morphology is based upon Minkowski operators and DeMorgan's (complement modulo 2) laws.
		The modification for Minkowski subtraction is is similar to that for Minkowski Addition except that the lesser of the two compared values is written to the output image.
	cobb.ee.psu.edu /users/greg/morphology.html (371 words)

	Mathematical Morphology Article, MathematicalMorphology Information (Site not responding. Last check: )
		It is the foundation of morphological image processing, which is based on shift-invariant (translationinvariant) operators based principally on Minkowskiaddition.
		Mathematical morphology was originally developed for binary images,viewed as subsets of the integer grid Z
		mathematical omrphology, based, mathematical morphloogy, dimension, mathematical morpohlogy, subsets, mathematical morphologi, viewed, mathemaical morphology, integer, mathematial morphology, history, mathematicla morphology, serra, mathematical mrophology, external, math...
	www.anoca.org /images/based/mathematical_morphology.html (131 words)

	Mathematical Morphology
		Mathematical Morphology is the analysis of signals in terms of shape.
		Mathematical morphology was developed in the 1970’s by G.Matheron [1] and J.Serra [2].
		For morphology to be of use in image processing, it needs to be extended to non-binary signals.
	www.bath.ac.uk /elec-eng/research/sipg/research/morphology/morphology.htm (2896 words)

	Digital Geometry and Mathematical Morphology
		This was a course for undergradute students and beginning graduate students in mathematics and related subjects.
		Mathematical morphology can be described as the science of transforming images.
		To be approved, a student must complete successfully both lab assignments as well as a reasonable number of the exercise problems, with a fair distributions over the chapters.
	www.math.uu.se /~kiselman/dgmm2004.html (747 words)

	Mathematical Morphology: Basic Principles - Heijmans (ResearchIndex)
		If your firewall is blocking outgoing connections to port 3125, you can use these links to download local copies.
		Abstract: This paper is intended as a first introduction into mathematical morphology, and does not require any preliminary knowledge in this field.
		9 The algebraic basis of mathematical morphology -- part I: Di..
	citeseer.ist.psu.edu /87904.html (589 words)

	About Us - History
		Popov A. "On some applications of mathematical morphology to robot motion planning in cluttered environment", Cyprus Journal of Technology, 1 (4), pp.
		Popov A.T., " Numerical and approximation tools based on mathematical morphology", H. Heijmans, J. Roerdink (eds.), Mathematical Morphology and its Applications to Image and Signal Processing, pp.
		Popov A. T.,“ Approximate connectivity and mathematical morphology“, In Mathematical Morphology and its Applications to Image and Signal Processing“, J. Goutsias, L. Vincent and D. Bloomberg (eds)., COMPUTATIONAL IMAGING AND VISION — Vol.18,, ISBN 0-7923-7862-8, Kluwer, Boston, 2000 (approximate connectivity, robot path planning, mathematical morphology)
	www-it.fmi.uni-sofia.bg /aboutus/pub/atpopov.html (467 words)

	SDC Morphology Toolbox for MATLAB
		The SDC Morphology Toolbox is also available for these platforms:
		Discover the power of Morphological Image Processing with the SDC Morphology Toolbox for MATLAB (Latest version is 1.5 October 4, 2006).
		The SDC Morphology Toolbox for MATLAB is a powerful collection of latest state-of-the-art gray-scale morphological tools that can be applied to image segmentation, non-linear filtering, pattern recognition and image analysis.
	www.mmorph.com (196 words)

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