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The Fuzzy Integral as Similarity Measure for a New Color Morphology
A. Soria-Frisch
M. Köppen
  DOI :  10.2352/CGIV.2002.1.1.art00109  Published Online :  January 2002
Abstract

Mathematical Morphology is a well-known discipline for the analysis of spatial structures which has found an extended application in image processing. The extension of grayscale morphology, which have been successfully used in multiple applications, to color morphology has very few examples in the literature.While the maximum and the minimum, which are the basic concepts underlying a morphology, of a one-dimensional quantity is well defined, the definition of such operations for a multi-dimensional one is not trivial. In case of color values, expressed normally in three- or four-dimensional spaces, such a definition is complicated by the special features of human color perception. The here presented paper proposes a reduced morphology based on the fusion operator known as fuzzy integral. As a result of the developments a new type of so-called directed morphological operations is defined. Such operations allow the user to influence the result of the morphological operation by means of a color preference.The obtained morphology has been applied on both synthetic and real application images with successful results.

Journal Title : Conference on Colour in Graphics, Imaging, and Vision
Publisher Name : Society of Imaging Science and Technology
Publisher Location : 7003 Kilworth Lane, Springfield, VA 22151, USA
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 DOI 10.2352/CGIV.2002.1.1.art00109
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A. Soria-Frisch, M. Köppen, "The Fuzzy Integral as Similarity Measure for a New Color Morphology"  in Proc. IS&T CGIV 2002 First European Conf. on Colour in Graphics, Imaging, and Vision,  2002,  pp 523 - 526,  https://doi.org/10.2352/CGIV.2002.1.1.art00109

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Copyright © Society for Imaging Science and Technology 2002
72010351
Conference on Colour in Graphics, Imaging, and Vision
conf colour graph imag vis
2158-6330
Society of Imaging Science and Technology
7003 Kilworth Lane, Springfield, VA 22151, USA
2158-6330(20020101)2002:1L.523;1-
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Articles
The Fuzzy Integral as Similarity Measure for a New Color Morphology
Soria-FrischA.
KöppenM.
01012002
2002
1
523
526
2002
Mathematical Morphology is a well-known discipline for the analysis of spatial structures which has found an extended application in image processing. The extension of grayscale morphology, which have been successfully used in multiple applications, to color morphology has very few examples in the literature.While the maximum and the minimum, which are the basic concepts underlying a morphology, of a one-dimensional quantity is well defined, the definition of such operations for a multi-dimensional one is not trivial. In case of color values, expressed normally in three- or four-dimensional spaces, such a definition is complicated by the special features of human color perception. The here presented paper proposes a reduced morphology based on the fusion operator known as fuzzy integral. As a result of the developments a new type of so-called directed morphological operations is defined. Such operations allow the user to influence the result of the morphological operation by means of a color preference.The obtained morphology has been applied on both synthetic and real application images with successful results.