Elementary Morphological Operations on the Spherical CIELab Quantale

Valle, Marcos Eduardo; Valente, Raul Ambrozio

doi:10.1007/978-3-319-18720-4_32

Lecture Notes in Computer Science

2015

DOI: 10.1007/978-3-319-18720-4_32

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Elementary Morphological Operations on the Spherical CIELab Quantale

Marcos Eduardo Valle

Raul Ambrozio Valente²

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2016

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“…Although the spherical CIELab quantale has been successfully applied for the development of a class of associative memories, it have not been used as the mathematical background for color MM yet. The purpose of this paper, which completes of the conference paper [47], is to provide support and insights into the implementation of color MM using the spherical CIELab quantale.…”

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Mathematical Morphology on the Spherical CIELab Quantale with an Application in Color Image Boundary Detection

Valle

Valente²

2016

J Math Imaging Vis

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Mathematical morphology is a theory with applications in image processing and analysis. This paper presents a quantale-based approach to color morphology based on the CIELab color space in spherical coordinates. The novel morphological operations take into account the perceptual difference between color elements by using a distance-based ordering scheme. Furthermore, the novel approach allows for the use of non-flat structuring elements. An illustrative example reveals that non-flat dilations and erosions may preserve more features of a color image than their corresponding flat operations. Furthermore, the novel non-flat morphological operators yielded promising results on experiments concerning the detection of the boundaries of objects on color images.

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confidence: 99%

Mathematical Morphology on the Spherical CIELab Quantale with an Application in Color Image Boundary Detection

Valle

Valente²

2016

J Math Imaging Vis

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Elementary Morphological Operations on the Spherical CIELab Quantale

Cited by 1 publication

References 28 publications

Mathematical Morphology on the Spherical CIELab Quantale with an Application in Color Image Boundary Detection

Mathematical Morphology on the Spherical CIELab Quantale with an Application in Color Image Boundary Detection

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