TYPOLOGY OF SPATIAL STRUCTURES OF IMAGES HAVING THE SAME COLOR SET

Citation
E. Chiarello et Jm. Chassery, TYPOLOGY OF SPATIAL STRUCTURES OF IMAGES HAVING THE SAME COLOR SET, Journal of mathematical imaging and vision, 7(4), 1997, pp. 359-374
Citations number
31
Categorie Soggetti
Mathematics,"Computer Sciences, Special Topics",Mathematics,"Computer Science Artificial Intelligence","Computer Science Software Graphycs Programming
ISSN journal
09249907
Volume
7
Issue
4
Year of publication
1997
Pages
359 - 374
Database
ISI
SICI code
0924-9907(1997)7:4<359:TOSSOI>2.0.ZU;2-N
Abstract
A previous study proposed a new model for generating random spatial pa tterns for modelling the dispersion of different colors in an image (C hiarello et al., (1996). These simulations represented spatial structu res in the sense of landscape ecology and they had to be compared to a real image. Thus, the aim of the present study was to measure the dis crepancy between a set of simulations of multicolored mosaics and an o bserved pattern in order to build a Monte Carlo test. The multicolored mosaics were considered as random closed sets and described with the hitting function for all pairs of colors. This description provided la rge three-dimensional data tables (distances x color pairs x images) t hat were analyzed with the help of multiway data analyses. The partial triadic analysis was used, It provided a synthesis of the hitting fun ction since the intrastructure enabled a typology of the distances for each image: the factorial coordinates of supplementary columns were p lotted as ordinates against distances as abscissa. This synthetic desc riptor provided a graphic tool for measuring the differences between t he spatial dispersions of a same set of colors in several images.