A Global Multilevel Thresholding Using Differential Evolution Approach

Table 2

The best values of the between-class variance and thresholds of the “mountain” image produced by the multithresh function of the Matlab toolbox and by the proposed O(0.0)R-DE algorithm. The number of thresholds varies from 2 to 16.

Image; (1)	𝑛; (2)	Produced by multithresh		Produced by the O(0.0)R-DE algorithm		Objdiff; (7)=(5)−(3)	Threshdiff; (8)=∑|(4)−(6)|
		Between-class variance; (3)	Thresholds; (4)	Between-class variance; (5)	Thresholds; (6)
Mountain	2	2372.886	60, 127	2372.923	61, 128	0.037	2
	3	2495.852	32, 76, 130	2496.113	33, 77, 131	0.261	3
	4	2551.778	32, 72, 109, 145	2551.955	33, 73, 109, 147	0.177	4
	5	2580.154	31, 68, 98, 124, 158	2580.336	32, 69, 99, 125, 159	0.182	5
	6	2588.264	35, 75, 98, 118, 152, 175	2596.956	24, 46, 74, 101, 126, 160	8.692	122
	7	2598.800	33, 70, 98, 118, 141, 166, 207	2608.807	24, 46, 73, 98, 119, 145, 175	10.007	153
	8	2605.785	31, 68, 91, 105, 121, 140, 163, 192	2616.294	24, 46, 73, 97, 115, 135, 160, 191	10.509	70
	9	2619.512	27, 52, 75, 95, 111, 129, 148, 168, 197	2622.314	20, 37, 54, 76, 98, 116, 136, 160, 191	2.802	114
	10	2620.392	23, 46, 73, 97, 116, 135, 157, 175, 204, 232	2627.194	20, 36, 53, 74, 93, 106, 121, 140, 163, 194	6.802	258
	11	2625.275	23, 45, 72, 93, 105, 119, 137, 156, 175, 204, 228	2630.496	20, 36, 53, 74, 93, 105, 118, 134, 152, 172, 201	5.221	199
	12	2629.641	22, 39, 58, 78, 95, 109, 123, 139, 156, 177, 207, 247	2633.189	18, 31, 45, 59, 76, 93, 105, 118, 134, 152, 172, 201	3.548	246
	13	2631.372	20, 38, 54, 74, 94, 107, 121, 139, 157, 173, 193, 224, 248	2635.290	18, 31, 45, 59, 76, 92, 103, 115, 129, 144, 161, 179, 207	3.918	283
	14	2633.865	19, 36, 53, 74, 91, 103, 115, 129, 144, 160, 174, 190, 217, 245	2637.088	17, 29, 42, 56, 72, 86, 96, 106, 117, 130, 145, 161, 179, 207	3.223	307
	15	2635.190	19, 33, 50, 69, 85, 96, 107, 121, 137, 152, 167, 178, 190, 212, 240	2638.449	17, 28, 39, 50, 61, 75, 88, 97, 107, 118, 131, 146, 162, 179, 207	3.259	351
	16	2636.357	16, 30, 45, 59, 77, 93, 105, 118, 133, 148, 162, 176, 192, 209, 230, 244	2639.616	17, 27, 38, 49, 60, 74, 86, 95, 104, 113, 123, 135, 149, 164, 181, 209	3.259	415