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
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.