Hierarchical Artificial Bee Colony Optimizer with Divide-and-Conquer and Crossover for Multilevel Threshold Image Segmentation

Table 10

Objective value, standard deviation, and PRI by the compared population-based methods on Otsu algorithm.

Image		Objective values (standard deviation)/PRI
		HABC	ABC	PSO	CMA-ES	EGA
38092	5	2.53874 (0.130652)/; 0.80876	2.53874 (0.0367)/; 0.8083	2.53834 (2.8507)/; 0.80108	2.53474 (25.8857)/; 0.7798	2.5353 (1.3310)/; 0.8031
	7	2.54374 (0.169583)/; 0.79081	2.54364 (1.5625)/; 0.79184	2.54254 (5.1891)/; 0.78483	2.53894 (40.7006)/; 0.79591	2.54034 (1.3991)/; 0.79123
	9	2.54584 (0.565715)/; 0.79661	2.54584 (0.4417)/; 0.79642	2.54464 (2.5883)/; 0.79571	2.54304 (11.0258)/; 0.79659	2.5413 (1.0165)/; 0.79513
14037	5	7.74353 (0.0188984)/; 0.79629	7.74353 (0)/; 0.79639	7.73473 (3.5134)/; 0.79788	7.69613 (35.7684)/; 0.78357	7.73413 (4.3209)/; 0.79849
	7	7.77183 (0.261583)/; 0.80195	7.77103 (2.6775)/; 0.80073	7.76143 (4.4311)/; 0.7995	7.73893 (16.3182)/; 0.80102	7.76203 (2.9283)/; 0.79861
	9	7.78523 (0.111484)/; 0.80293	7.78443 (0.4046)/; 0.80003	7.77783 (1.9638)/; 0.80216	7.76743 (11.5504)/; 0.79963	7.77743 (2.5778)/; 0.79894
24077	5	2.15554 (0.0367994)/; 0.79134	2.15554 (0.0515)/; 0.79144	2.15494 (3.8643)/; 0.79206	2.15214 (25.1125)/; 0.77383	2.15484 (2.6461)/; 0.79083
	7	2.16164 (0.105852)/; 0.82341	2.16164 (0.0533)/; 0.82342	2.16054 (2.7214)/; 0.81974	2.15944 (14.9933)/; 0.81252	2.16044 (3.9027)/; 0.81626
	9	2.16434 (0.165802)/; 0.84109	2.16434 (0.2071)/; 0.84107	2.16314 (1.6791)/; 0.83481	2.16174 (16.3906)/; 0.82448	2.16314 (2.9599)/; 0.83686
163085	5	7.96453 (0.0147549)/; 0.67958	7.96433 (0.4608)/; 0.68017	7.95973 (3.2964)/; 0.64757	7.92973 (13.4949)/; 0.65603	7.95833 (2.2673)/; 0.67383
	7	7.98603 (0.321709)/; 0.69481	7.98543 (0.4616)/; 0.69627	7.97763 (2.6945)/; 0.68766	7.96243 (14.9767)/; 0.67716	7.97763 (2.3005)/; 0.69495
	9	7.99613 (0.158903)/; 0.70398	7.99503 (0.5333)/; 0.7012	7.98703 (2.1345)/; 0.67902	7.97383 (10.6271)/; 0.68225	7.98733 (2.4954)/; 0.69393
101085	5	1.29684 (0.0213926)/; 0.76413	1.29684 (0.0156)/; 0.77592	1.29624 (3.7694)/; 0.76328	1.29434 (23.7702)/; 0.74733	1.29584 (2.1672)/; 0.76259
	7	1.30284 (0.406099)/; 0.79301	1.30284 (0.1467)/; 0.79284	1.30194 (4.2116)/; 0.778	1.30064 (17.6849)/; 0.78273	1.30104 (1.9442)/; 0.79271
	9	1.30574 (0.376722)/; 0.80922	1.30574 (0.3492)/; 0.80877	1.30444 (2.5066)/; 0.8021	1.30384 (12.3412)/; 0.7977	1.30414 (0.9811)/; 0.80401
101087	5	2.88304 ()/; 0.85694	2.88304 (0.3567)/; 0.85686	2.88274 (2.4413)/; 0.85724	2.88094 (18.3227)/; 0.84348	2.88224 (4.3590)/; 0.8535
	7	2.88654 (0.363306)/; 0.87615	2.88654 (0.1288)/; 0.87598	2.88584 (1.4591)/; 0.86972	2.88444 (7.8354)/; 0.84763	2.88554 (5.9829)/; 0.87049
	9	2.88814 (0.391194)/; 0.88633	2.88814 (0.7514)/; 0.88624	2.88744 (3.4566)/; 0.88024	2.88604 (9.4196)/; 0.86569	2.88724 (1.7053)/; 0.88003