Rough Fuzzy Measures in Image Segmentation and Analysis - Rough Fuzzy Image Analysis: Foundations and Methodologies - page 222

TABLE 11.10 Best indices values - population number for
satellite build-up image
Name CCDRECA FCDRECA FFTRECA FFDRECA
RG
Dunn 1.58 1.40 1.56 1.65
DB 113.96 114.37 117.73 124.50
β -index 33.70 34.20 32.90 28.60

RB
Dunn 1.45 1.09 1.45 1.37
DB 128.78 137.70 143.00 135.50
β -index 26.38 25.24 24.70 25.77

BG
Dunn 1.63 1.55 1.58 1.84
DB 84.36 84.45 85.00 83.99
β-index 42.99 45.90 41.28 39.76
RGB
Dunn 1.46 1.35 1.48 1.63
DB 121.95 125.44 128.58 122.35
β-index 27.20 22.37 23.63 25.72

The best values for β-index have been achieved for CCD RECA populations in all ex-
amined cases. The best values of Dunn index have been most often observed for FFT
populations, except RB bands. High values for DB index are achieved for FFT and FFD
populations.
In Table 11.11 the best standard indices values for three selected images from Berkeley
database have been presented. The images have been segmented in medium dimensional
context (bands RGB).

TABLE 11.11 Best indices values - for images from Berkeley
image dataset in medium resoltuion
Name CCDRECA FCDRECA FFTRECA FFDRECA
27059
Dunn 1.38 1.27 1.26 1.22
DB 5.47 6.47 5.14 3.60
β-index 17.32 17.47 17.01 16.58
78004
Dunn 1.49 1.82 1.91 2.02
DB 3.05 1.76 1.82 1.72
β -index 45.76 47.47 42.09 46.58

86000
Dunn 1.11 1.11 1.09 1.08
DB 7.64 9.77 7.62 5.14
β -index 10.23 10.18 10.05 10.18

The best values for β-index have been achieved for CCD RECA and FCD populations.
The values of Dunn index are not uniformly distributed. High values for DB index are

achieved for FFT and FFD populations.
In Table 11.12 the best standard indices values for generic nature area image 27059 from
Berkeley imaga dataset have been presented. The image have been segmented in high
dimensional context (9 bands) with three resolutions: low, medium and high resolution.
The best values for β-index have been achieved for CCD RECA populations in all exam-
ined cases. The best (maximal) values of Dunn index have been most often observed for
FFT populations. The Optimal (low) values for the DB index are achieved for CCD and
FFD populations.
The comparison of the best solutions in the four selected populations for three selected
image datasets shows that the best solutions for the β-index values are obtained for CCD