% Calculate the covering radius of the given samples.
%
% USAGE:
% radius = CoveringRadius(grad)
% radius = CoveringRadius(grad, ind)
%
% INPUT
% grad : Nx3 matrix, each row is a point in sphere.
% ind : If it is given, calculate the minimal distance between
% the ind-th sample and the other samples in grad.
%
%
% OUTPUT
% radius : covering radius, i.e., the minimal spherical distance between any two samples.
%
%
% References:
% 1. http://mathworld.wolfram.com/SphericalCode.html
% 2. "Single- and Multiple-Shell Uniform Sampling Schemes for Diffusion MRI Using Spherical Codes",
% Jian Cheng, Dinggang Shen, Pew-Thian Yap, Peter J. Basser, IEEE Transactions on Medical Imaging, 2017.
% 3. "Designing Single- and Multiple-Shell Sampling Schemes for Diffusion MRI Using Spherical Code",
% Jian Cheng, Dinggang Shen, Pew-Thian Yap, MICCAI 2014.
% 4. "Novel single and multiple shell uniform sampling schemes for diffusion MRI using spherical codes",
% Jian Cheng, Dinggang Shen, Pew-Thian Yap, Peter J. Basser, MICCAI 2015.
%
% Copyright (c) 2014, Jian Cheng <jian.cheng.1983@gmail.com>
%
