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. Author manuscript; available in PMC: 2015 Dec 1.
Published in final edited form as: Magn Reson Med. 2014 Jul 15;73(6):2357–2362. doi: 10.1002/mrm.25367

Table 2.

Normalized Sigma Points and Their Weights

No. of sigma points Normalized Sigma points Weight
One variable 2
±3
1/6
1 0 2/3
Two variables 4 ( ±2,±2) 1/16
4 (±2, 0), (0, ±2) 1/16
1 0 1/2
Three variables 8
(±1,±1,±1)5/3
9/200
6
(0,±1,0)5
1/25
1 0 2/5
Four variables 16
(±1,±1,±1,,±1)3/2
1/36
8
(0,,±1,0)6
1/36
1 0 1/3
Five variables 32
(±1,±1,±1)7/5
25/1568
10
(0,,0,±1,00)7
1/49
1 0 2/7
Six variables 64
(±1,±1,±1)4/3
9/1024
12
(0,,0,±1,00)22
1/64
1 0 1/4