% mexGetSamplesFromSPFCoefficients: get DWI or EAP samples (orignal samples or the SH coefficients) from given SPF coefficients
% Usage:
%   [samples] = mexGetSamplesFromSPFCoefficients(spfCoef4D, radius, params)
%   [samples] = mexGetSamplesFromSPFCoefficients(spfCoef4D, radiusVec, grad, params)
% Inputs:
%   dwi4DNoramlized:       4D DWI data, normalized by b0 image;
%   grad :                 orientation matrix where each row is an orientation (x,y,z), caresian format.
%                          If it is not given, then return SH coefficients instead of orignal samples.
%   radiusVector:          b values in a vector, or r values. If it is set, the number of rows should be the same as grad
%   radius:                b value or r value.
%   params.MD0 :           Typical mean diffusivity (MD) value. The default value is 0.7e-3.
%   params.tau :           Tau value. The default is calculated based on 4*pi*pi*tau=1.
%   param.scale :          Scale value for the SPF basis in radial part, the default value is set by tau and MD0 and tau
%  :           SH order
%   params.ra  :           order in radial part
%   params.fourier :       Use Fourier transform.
%   params.inqspace :      If it is true, the basis is in q-space (default). If it is false, the basis is in r-space.
%   params.mdImage  :      Mean diffusivity Image for adaptive scale.
%   params.basisType :     SPF: use SPF basis (default).
%   params.mask :          Mask file. 2D or 3D matrix.
%   params.thread :        Number of thread. Default is -1, which means it is automatically determined.
%   params.verbose :       Verbose level. 0: no output log. 1: normal log. 2: large log for debug.
% Outputs:
%   isoDWI:                each column is a dwi sample
% Reference:
%  1. "Model-Free, Regularized, Fast, and Robust Analytical Orientation Distribution Function Estimation",
%     Jian Cheng, Aurobrata Ghosh, Rachid Deriche, Tianzi Jiang, Medical Image Computing and Computer-Assisted Intervention (MICCAI'10), vol. 6361, pp. 648–656, sep, 2010.
%  2. "Model-free and Analytical EAP Reconstruction via Spherical Polar Fourier Diffusion MRI",
%     Jian Cheng, Aurobrata Ghosh, Tianzi Jiang, Rachid Deriche, Medical Image Computing and Computer-Assisted Intervention (MICCAI'10), vol. 6361, pp. 590–597, sep, 2010.
% Copyright (c) 2013, Jian Cheng <>