Table 6 Comparative metrics for each algorithm segmentation.

From: Optimized K-means algorithm for image segmentation based on improved dung beetle algorithm

imagery

algorithms

mean square error (\({\sigma _{MSE}}\) )

peak signal-to-noise ratio (\({P_{PSNR}}\) )

Swan

DBO-K

2.38E-01

46.19

K-means

2.10E-01

44.91

GWO-K

1.32E-01

47.77

BWO-K

1.66E-01

45.95

PSO-K

9.00E-01

48.61

MSDBO-K

6.49E-01

46.37

MODBO-K

1.38E-01

46.52

IDBO-K

1.13E-01

48.88

Cameraman

DBO-K

2.39E-01

46.06

K-means

3.70E-01

44.00

GWO-K

3.82E-01

44.04

BWO-K

3.40E-01

45.08

PSO-K

3.17E-01

45.96

MSDBO-K

2.32E-01

46.26

MODBO-K

2.78E-01

45.39

IDBO-K

1.96E-01

48.15

Rice

DBO-K

3.55E-01

41.51

K-means

3.63E-01

41.33

GWO-K

4.17E-01

42.86

BWO-K

4.35E-01

42.75

PSO-K

5.13E-01

40.41

MSDBO-K

3.55E-01

41.78

MODBO-K

3.71E-01

41.57

IDBO-K

2.99E-01

43.18

Tulip

DBO-K

3.10E-01

42.63

K-means

3.92E-01

42.25

GWO-K

3.72E-01

42.37

BWO-K

3.96E-01

42.18

PSO-K

3.17E-01

42.58

MSDBO-K

3.25E-01

42.49

MODBO-K

2.94E-01

43.07

IDBO-K

2.58E-01

43.63