NDLI: Pareto-dominated Hypervolume Measure: An Alternative Approach to Color Morphology

Content Provider	IEEE Xplore Digital Library
Author	Koppen, M. Franke, K.
Copyright Year	2007
Description	Author affiliation: Kyushu Inst. of Technol., Fukuoka (Koppen, M.)
Abstract	In this paper, an alternative approach to the non-linear filtering of mathematical morphology for color and multi-spectral images based on the Pareto-dominated hypervolume measure is presented. Parteo-set theory is studied in this context, and among others, successfully implemented in the morphological filtering of color images. The demand to assess the quality of a multi-objective optimization algorithms, in particular, has put forth several kind of measures. One of these measures, the hypervolume, bases on the Lebesque measure of all points dominated by a set of points and maps a set of Pareto-optimal points to a non-negative scalar. By considering the hypervolume in the color-image domain, it can be shown that this hypervolume corresponds to another kind of color morphology, were each pixel in the filtered image represents the hypervolume of its set of neighbours in the original color image. In the following, some properties of the hypervolume, as used as an image-processing filter will be derived, and some potential applications of this approach to color morphology will be suggested.
Starting Page	234
Ending Page	239
File Size	1196675
Page Count	6
File Format	PDF
DOI	10.1109/HIS.2007.49
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2007-09-17
Publisher Place	Germany
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Morphology Humans Information security Color Gray-scale Information filters Information filtering Pixel Hybrid intelligent systems Morphological operations
Content Type	Text
Resource Type	Article

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