NDLI: Characterization and Statistics of Distance-Based Elementary Morphological Operators

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Characterization and Statistics of Distance-Based Elementary Morphological Operators

Content Provider	Hyper Articles en Ligne (HAL)
Author	Alves Do Nascimento, Arlyson Marcos Eduardo, Valle
Copyright Year	2019
Abstract	Mathematical morphology (MM) is a powerful theory widely used for image processing and analysis. Distance-based morphological operators are parametrized by a reference value so that a dilation enlarges regions of an image similar to the reference while an erosion shrinks them. In this paper, we first characterize distance-based erosions, dilations, and gradients as a function of the reference. Then, assuming the reference is a sample from a random variable, we use a descriptive statistic to obtain relevant information on a certain distance-based morphological operator. We validate our approach by presenting a successful application of some statistics of distance-based morphological operators for edge detection in color images.
Related Links	https://hal.science/hal-02144468/file/arlyson19ismm.pdf
ISBN	9783030208677
Conference Proceedings	Mathematical Morphology and Its Applications to Signal and Image Processing
DOI	10.1007/978-3-030-20867-7_28
Language	English
Publisher	HAL CCSD
Access Restriction	Open
Subject Keyword	multivalued images distance-based order edge detection Mathematical morphology descriptive statistics Mathematics [math] Statistics [math.ST] Computer Science [cs] Computer Vision and Pattern Recognition [cs.CV] Signal and Image Processing Computer Science [cs]
Content Type	Text
Resource Type	Conference Proceedings
Subject	Medicine Mathematics

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