TABLE 1.

Directions cosines for the axes of symmetry of 6 basis filters B_j with geometry based on the vertices of the cuboctahedron

j	${\alpha }_j$	${\beta }_j$	${\gamma }_j$
0	$\frac{1}{\sqrt{2}}$	$\frac{1}{\sqrt{2}}$	0
1	$\frac{1}{\sqrt{2}}$	$‐\frac{1}{\sqrt{2}}$	0
2	$\frac{1}{\sqrt{2}}$	0	$\frac{1}{\sqrt{2}}$
3	$‐\frac{1}{\sqrt{2}}$	0	$\frac{1}{\sqrt{2}}$
4	0	$\frac{1}{\sqrt{2}}$	$\frac{1}{\sqrt{2}}$
5	0	$\frac{1}{\sqrt{2}}$	$‐\frac{1}{\sqrt{2}}$