Table 2.

Collimator dimensions—hole length, hole diameter, and septal thickness—for two currently used collimators and 23 optimized collimator designs determined by the MATLAB algorithm using constraints. [L=LumaGem hexagonal-hole, low-energy high-sensitivity collimator and P=prototype cadmium zinc telluride, matched square-hole general purpose collimator.]

Collimator (mm)	Input parameters				Optimal collimator dimensions
	Desired Rc (mm)	b (cm)	p (mm)	μ (cm−1)	l (cm)	d (mm)	t (mm)	bmin
L	⋯	3	1.6	26.32	2.50a	2.54a	0.30a	15.45
P	⋯	3	2.5	26.32	3.47a	2.26a	0.24a	21.03
1	≤5.0	3	1.6	26.32	0.94	1.12	0.48	8.79
2	≤5.0	3	1.6	34.48	1.03	1.28	0.32	7.73
3	≤5.0	3	2.5	26.32	2.13	2.19	0.31	13.67
4	≤5.0	3	2.5	34.48	2.23	2.27	0.23	13.41
5	≤5.0	3	Custom: 1.9	26.32	1.27	1.50	0.40	9.74
6	≤5.0	3	Custom: 1.7	34.48	1.15	1.40	0.30	8.21
7	≤5.0	6	1.6	26.32	2.28	1.42	0.18	14.29
8	≤5.0	6	1.6	34.48	2.37	1.47	0.13	13.95
9	≤5.0	6	2.5	26.32	4.73	2.37	0.13	26.24
10	≤5.0	6	2.5	34.48	4.77	2.39	0.11	26.05
11	≤5.0	6	Custom: 1.3	26.32	1.69	1.10	0.20	11.52
12	≤5.0	6	Custom: 1.2	34.48	1.58	1.05	0.15	10.16
13	≤7.5	3	1.6	34.48	0.67	1.08	0.52	6.58
14	≤7.5	3	2.5	26.32	0.98	1.79	0.71	8.79
15	≤7.5	3	2.5	34.48	1.12	2.05	0.45	8.06
16	≤7.5	3	Custom: 3.0	26.32	1.40	2.43	0.57	10.28
17	≤7.5	3	Custom: 2.6	34.48	1.19	2.16	0.44	8.37
18	≤7.5	6	1.6	26.32	1.24	1.25	0.35	9.67
19	≤7.5	6	1.6	34.48	1.34	1.36	0.24	9.06
20	≤7.5	6	2.5	26.32	2.44	2.24	0.26	15.03
21	≤7.5	6	2.5	34.48	2.52	2.31	0.19	14.67
22	≤7.5	6	Custom: 2.1	26.32	1.88	1.81	0.29	12.41
23	≤7.5	6	Custom: 1.7	34.48	1.46	1.47	0.23	9.58

^aCollimator specifications of existing collimators in our laboratory.