mean

Calculates the mean value of a SO3FunHarmonic by using the first Wigner coefficient, i.e.

$$mean(f) = \hat{f}_0^{0,0} = \frac1{8\pi^2} \int_{SO(3)} f( R ) dR$$ ,

where $vol(SO(3)) = \int_{SO(3)} 1 dR = 8\pi^2$.

or calculates the mean along a specified dimension of a vector-valued SO3Fun.

Description

If SO3F is a 3x3 SO3Fun then mean(SO3F) returns a 3x3 matrix with the mean values of each function mean(SO3F, 1) returns a 1x3 SO3Fun which contains the pointwise mean values along the first dimension

Syntax

value = mean(SO3F)
SO3F  = mean(SO3F, d)

Input

Output