I am currently using  the SPHARM-MAT toolbox for calculating the average of a set of points clouds, and then using it further to create a shape model. 
The output of the Average Object is 'fvec' or the coefficients of the spherical harmonics. 
I would like to know if simple linear algebra (multiplying the Spharm Basis function with 'fvec') will result in the coordinates of the point cloud in the cartesian space.