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The Fuzzy Integral as Similarity Measure for a New Color Morphology

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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.
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Document Type: Research Article

Publication date: January 1, 2002

More about this publication?
  • Started in 2002 and merged with the Color and Imaging Conference (CIC) in 2014, CGIV covered a wide range of topics related to colour and visual information, including color science, computational color, color in computer graphics, color reproduction, volor vision/psychophysics, color image quality, color image processing, and multispectral color science. Drawing papers from researchers, scientists, and engineers worldwide, DGIV offered attendees a unique experience to share with colleagues in industry and academic, and on national and international standards committees. Held every year in Europe, DGIV papers were more academic in their focus and had high student participation rates.

    Please note: For purposes of its Digital Library content, IS&T defines Open Access as papers that will be downloadable in their entirety for free in perpetuity. Copyright restrictions on papers vary; see individual papers for details.

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