Slice-to-Volume Nonrigid Registration of Histological Sections to MR Images of the Human Brain

Table 4

Registration results for four multiresolution schemes (see text for details; NEWUOA is abbreviated by NWA). Each registration result is presented by the cumulative similarity measure SM, the bending energy 𝐸_𝑇 (nonrigid only), and the running time 𝑇 in minutes. Columns 1–8 are for eight slices from eight distinct blocks of the brain sample. The last column is the sum of 1–8. Values referenced in the text are in boldface.

Multires optim	Var⧵Blk no.	1	2	3	4	5	6	7	8	∑^81
NWA/TPS/CC	SM	6.058	6.122	5.899	5.849	5.390	5.408	5.769	5.878	46.373
	𝐸𝑇	2.7	2.0	2.2	8.9	7.0	9.5	5.6	4.7	42.5
	𝑇 (min)	1.8	6.9	20.1	19.2	31.9	31.2	18.7	5.4	135.2
NWA/TPS/NMI	SM	5.992	6.113	5.863	5.400	5.031	4.755	5.622	5.471	44.248
	𝐸𝑇	6.2	5.4	5.3	6.5	6.1	5.3	5.3	4.7	44.9
	𝑇 (min)	1.9	19.9	66.2	31.1	41.1	32.2	32.6	8.4	233.5
NWA/B-SPL/SSD	SM	6.099	6.147	5.980	5.904	5.456	5.491	5.817	5.856	46.750
	𝐸𝑇	4.3	3.2	4.0	11.7	9.7	15.8	7.9	10.7	67.3
	𝑇 (min)	18.8	160.1	254.3	322.0	317.7	533.8	284.5	95.9	1987.1
LM/B-SPL/SSD	SM	6.095	6.145	5.948	5.902	5.201	5.468	5.814	5.783	46.355
	𝐸𝑇	4.3	3.1	4.4	11.6	11.7	14.9	7.8	12.6	70.4
	𝑇 (min)	3.8	20.8	91.5	57.1	26.1	95.0	57.2	14.3	365.6