Segmentation of Brain MRI Using SOM-FCM-Based Method and 3D Statistical Descriptors

Table 1

3D directions in spherical coordinates and offset coding. Offset (d) indicates radius value.

Direction (𝜙,𝜃)	Offset vector	Direction (𝜙,𝜃)	Offset vector
(0,0)	(0,𝑑,0)	(90,45)	(−𝑑,0,−𝑑)
(45,0)	(−𝑑,𝑑,0)	(90,135)	(𝑑,0,−𝑑)
(90,0)	(−𝑑,0,0)	(45,45)	(−𝑑,𝑑,−𝑑)
(135,0)	(−𝑑,−𝑑,0)	(45,135)	(𝑑,−𝑑,−𝑑)
(0,45)	(0,𝑑,−𝑑)	(135,45)	(−𝑑,−𝑑,−𝑑)
(0,90)	(0,0,𝑑)	(135,135)	(𝑑,𝑑,−𝑑)
(0,135)	(0,−𝑑,−𝑑)