Segmenting colour images on the basis of a fuzzy hierarchical approach.

Jesús Chamorro-Martínez; Daniel Sánchez; Belén Prados-Suárez; Elena Galán-Perales; M.ª Amparo Vila

Mathware and Soft Computing (2003)

  • Volume: 10, Issue: 2-3, page 101-115
  • ISSN: 1134-5632

Abstract

top
In this paper we deal with two problems related to imprecision in colour image segmentation processes: to decide whether a set of pixels verify the property to be homogeneously coloured, and to represent the set of possible segmentations of an image at different precision levels. In order to solve the first problem we introduce a measure of distance between colours in the CIE L*a*b* space, that allows us to measure the degree of homogeneity of two pixels p and q on the basis of the maximum distance between the colours of consecutive pairs of pixels in any path linking p and q. Since homogeneity is a matter of degree, we define a (fuzzy) segmentation of an image as a set of fuzzy regions, each of them being a fuzzy subset of pixels, that we obtain by using a region growing technique. The membership degree of each pixel to each region is calculated on the basis of our homogeneity measure. The second problem is solved by introducing a fuzzy similarity relation between the fuzzy regions in this initial segmentation. The different α-cuts of the similarity relation define the set of precision levels, from which a nested hierarchy of fuzzy segmentations is finally obtained.

How to cite

top

Chamorro-Martínez, Jesús, et al. "Segmenting colour images on the basis of a fuzzy hierarchical approach.." Mathware and Soft Computing 10.2-3 (2003): 101-115. <http://eudml.org/doc/39253>.

@article{Chamorro2003,
abstract = {In this paper we deal with two problems related to imprecision in colour image segmentation processes: to decide whether a set of pixels verify the property to be homogeneously coloured, and to represent the set of possible segmentations of an image at different precision levels. In order to solve the first problem we introduce a measure of distance between colours in the CIE L*a*b* space, that allows us to measure the degree of homogeneity of two pixels p and q on the basis of the maximum distance between the colours of consecutive pairs of pixels in any path linking p and q. Since homogeneity is a matter of degree, we define a (fuzzy) segmentation of an image as a set of fuzzy regions, each of them being a fuzzy subset of pixels, that we obtain by using a region growing technique. The membership degree of each pixel to each region is calculated on the basis of our homogeneity measure. The second problem is solved by introducing a fuzzy similarity relation between the fuzzy regions in this initial segmentation. The different α-cuts of the similarity relation define the set of precision levels, from which a nested hierarchy of fuzzy segmentations is finally obtained.},
author = {Chamorro-Martínez, Jesús, Sánchez, Daniel, Prados-Suárez, Belén, Galán-Perales, Elena, Vila, M.ª Amparo},
journal = {Mathware and Soft Computing},
keywords = {Lógica difusa; Procesamiento de imágenes; Colour image segmentation; fuzzy segmentation; hierarchical segmentation; colour distance},
language = {eng},
number = {2-3},
pages = {101-115},
title = {Segmenting colour images on the basis of a fuzzy hierarchical approach.},
url = {http://eudml.org/doc/39253},
volume = {10},
year = {2003},
}

TY - JOUR
AU - Chamorro-Martínez, Jesús
AU - Sánchez, Daniel
AU - Prados-Suárez, Belén
AU - Galán-Perales, Elena
AU - Vila, M.ª Amparo
TI - Segmenting colour images on the basis of a fuzzy hierarchical approach.
JO - Mathware and Soft Computing
PY - 2003
VL - 10
IS - 2-3
SP - 101
EP - 115
AB - In this paper we deal with two problems related to imprecision in colour image segmentation processes: to decide whether a set of pixels verify the property to be homogeneously coloured, and to represent the set of possible segmentations of an image at different precision levels. In order to solve the first problem we introduce a measure of distance between colours in the CIE L*a*b* space, that allows us to measure the degree of homogeneity of two pixels p and q on the basis of the maximum distance between the colours of consecutive pairs of pixels in any path linking p and q. Since homogeneity is a matter of degree, we define a (fuzzy) segmentation of an image as a set of fuzzy regions, each of them being a fuzzy subset of pixels, that we obtain by using a region growing technique. The membership degree of each pixel to each region is calculated on the basis of our homogeneity measure. The second problem is solved by introducing a fuzzy similarity relation between the fuzzy regions in this initial segmentation. The different α-cuts of the similarity relation define the set of precision levels, from which a nested hierarchy of fuzzy segmentations is finally obtained.
LA - eng
KW - Lógica difusa; Procesamiento de imágenes; Colour image segmentation; fuzzy segmentation; hierarchical segmentation; colour distance
UR - http://eudml.org/doc/39253
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.