SO3Fun.mean edit page

Calculates the mean value of a SO3Fun 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

SO3F SO3Fun
d dimension to take the mean value over

Output

SO3F SO3Fun
value double

Example

generate SO3Funs

SO3F1 = SO3Fun.dubna
SO3F2 = SO3FunHandle(@(rot) SO3F1.eval(rot))
A = ones(2,3);
SO3F3 = SO3F2.*A
SO3F1 = SO3FunRBF (Quartz → y↑→x)
 
  multimodal components
  kernel: de la Vallee Poussin, halfwidth 5°
  center: 19848 orientations, resolution: 5°
  weight: 1
 
 
SO3F2 = SO3FunHandle (y↑→x → y↑→x)
  eval: @(rot)SO3F1.eval(rot)
 
 
SO3F3 = SO3FunHandle (y↑→x → y↑→x)
  size: 2 x 3
  eval: @(rot)permute(SO3F1,[dim+1,1:dim]).*SO3F2.eval(rot)
%calculate mean values of SO3Funs
mean(SO3F2)
mean(SO3F3)
mean(SO3F3,2)
mean(SO3F3,1)
ans =
    0.9999
ans =
    0.9999    0.9999    0.9999
    0.9999    0.9999    0.9999
 
ans = SO3FunHandle (y↑→x → y↑→x)
  size: 2 x 1
  eval: @(rot)mean(SO3F.eval(rot),varargin{1}+1)
 
 
ans = SO3FunHandle (y↑→x → y↑→x)
  size: 1 x 3
  eval: @(rot)mean(SO3F.eval(rot),varargin{1}+1)