Processing color and complex data using mathematical morphology

Wheeler, Mark D.; Zmuda, Michael A.

doi:10.1109/naecon.2000.894970

Cited by 11 publications

(11 citation statements)

References 6 publications

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“…Figure 3(c) is the result obtained by applying the lexicographical approach, described in [3] and [20]. Figure 3(d) and represent the result obtained by applying the solutions described in [21] and [15] respectively. In figure 3(e), the result is obtained by the majority sorting scheme [12].…”

Section: Resultsmentioning

confidence: 99%

“…In [14], the performance of some previously introduced morphological operators (which had used reduced ordering) has been compared and those operators have been mapped to a generic programming framework. Some morphological techniques that had appeared in the literature were reviewed in [21] and a new technique based on vector projections was introduced in that paper. In [22], a reduced ordering approach based on a new geometrical transformation has been introduced and its experimental results for contrast enhancement and edge detection have been reported.…”

Section: Introductionmentioning

confidence: 99%

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Color Mathematical Morphology Based on Partial Ordering of Spectra

d’Ornellas¹,

Costa²

2007

XX Brazilian Symposium on Computer Graphics and Image Processing (SIBGRAPI 2007)

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Mathematical morphology is based on the principle of ordering. There is no natural way to order colors (being triplets of scalars). A lot of different ordering relations have been proposed in the literature, most on an ad-hoc basis. In this paper, we propose an ordering relation for colors that is based on the natural (i.e. physically plausible) ordering of spectra. Therefore, we ensure that the ordering is independent of the chosen color parameterization. We discuss that part of colorimetric theory that enables us to reconstruct the spectrum given the three color parameters. Furthermore, we present the very basics of the algebraic framework of mathematical morphology. This allows us to embed the presented ordering of colors within the morphological framework such that we can fully exploit the possibilities to define morphological image operators working on color images.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Color Mathematical Morphology Based on Partial Ordering of Spectra

d’Ornellas¹,

Costa²

2007

XX Brazilian Symposium on Computer Graphics and Image Processing (SIBGRAPI 2007)

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“…Multivariate processing in color is generally approached in two major ways [24]. In marginal processing, each channel is processed independently, filtered using regular gray-scale morphology and then merged back into a single color image again.…”

Section: Introductionmentioning

confidence: 99%

Color processing using max-trees: A comparison on image compression

Tushabe

Wilkinson²

2012

2012 International Conference on Systems and Informatics (ICSAI2012)

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Abstract-This paper proposes a new method of processing color images using mathematical morphology techniques. It adapts the Max-tree image representation to accommodate color and other vectorial images. The proposed method introduces three new ways of transforming the color image into a gray scale image that is filtered using conventional methods. Three new color reconstruction mechanisms are also proposed. The best method improves color fidelity by as much as 15%. The perfomance of six attribute filters are also compared on a jpeg compression operation.

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“…Despite the absence of a widely accepted solution, the field of colour morphology has matured since the 1990s, and certain trends have started to form. More precisely, the use of polar (or phenomenal) colour spaces has been steadily spreading within the community [2,3,10,14,20]. However, their popularity, which is mainly due to the intuitiveness (from the point of view of human colour vision) of the luminance, hue and saturation based description of colour, is seriously shadowed by the problems related to the circular hue band.…”

Section: Introductionmentioning

confidence: 99%

On the morphological processing of hue

Aptoula

Lefèvre

2009

Image and Vision Computing

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Although polar colour spaces are being increasingly used in the context of colour mathematical morphology, mainly due to their intuitiveness, the processing of the circular hue band continues to be their main drawback. In this paper, we discuss the two principal problems concerning the morphological processing of hue, first its lack of a lattice structure, which we propose to introduce by means of a distance based formulation from multiple representative reference hue points. And second, the distinction of chromatic from achromatic pixels, since the hue component is of no significance for "low" saturation levels. For this purpose we present a new weighting scheme, based on the combination of saturation and luminance channels. Application results on texture classification, asserting the superior performance of this approach, are also included.

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Processing color and complex data using mathematical morphology

Cited by 11 publications

References 6 publications

Color Mathematical Morphology Based on Partial Ordering of Spectra

Color Mathematical Morphology Based on Partial Ordering of Spectra

Color processing using max-trees: A comparison on image compression

On the morphological processing of hue

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