IEEE Systems, Man and Cybernetics Magazine - April 2020 - 21

One way to choose the best from among SpecVAT images is to consider their grayscale histograms, which should
include two explicit modalities in the distributions, corresponding to within-cluster distances (diagonal dark-block
regions) and between-cluster distances (off-diagonal

k=1

50

non-dark-block regions). The ideal scenario would have a
narrow distribution for each modality and a large distance
between the two modalities. Figure 4 shows the SpecVAT
images and their grayscale histograms for the three-ring
data set [Figure 2(b)] for k = " 1, 2, f, 5 , . The SpecVAT

k=2

50

100

100

100

150

150

150

200

200

200

250

250

250

50 100 150 200 250
(a)

50 100 150 200 250
(b)
3,000

k=1

1,000
800
600
400

50 100 150 200 250
(c)

k=2

2,000

4,000

1,000

2,000

0

0

0
0.5
(d)

1

0

0.5
(e)

k=4

50

100
150

200

200

250

250
50 100 150 200 250
(g)

1

50 100 150 200 250
(h)
5,000

k=4

4,000

4,000

3,000

3,000

2,000

2,000

1,000

1,000

0

0
0.5
(i)

0.5
(f)

k=5

50

150

0

0

1

100

5,000

k=3

6,000

200

0

k=3

50

1

k=5

0

0.5
(j)

1

Figure 4. The SpecVAT images and their grayscale histograms for different values of k for the three-ring

data set [Figure 2(b)]: (a) specVAT image (k = 1), (b) specVAT image (k = 2), (c) specVAT image (k = 3),
(d) specVAT image histogram (k = 1), (e) specVAT image histogram (k = 2), (f) specVAT image histogram
(k = 3), (g) specVAT image (k = 4), (h) specVAT image (k = 5), (i) specVAT image histogram (k = 4), and (j)
specVAT image histogram (k = 5).

	

Ap ri l 2020

IEEE SYSTEMS, MAN, & CYBERNETICS MAGAZINE	

21



IEEE Systems, Man and Cybernetics Magazine - April 2020

Table of Contents for the Digital Edition of IEEE Systems, Man and Cybernetics Magazine - April 2020

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IEEE Systems, Man and Cybernetics Magazine - April 2020 - Contents
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IEEE Systems, Man and Cybernetics Magazine - April 2020 - Cover3
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