% -*- texinfo -*-
% @deftypefn {Function File} {@var{T} =} delaunayn (@var{P})
% @deftypefnx {Function File} {@var{T} =} delaunayn (@var{P}, @var{opt})
% Form the Delaunay triangulation for a set of points.
% The Delaunay triangulation is a tessellation of the convex hull of the
% points such that no n-sphere defined by the n-triangles contains
% any other points from the set.
% The input matrix @var{P} of size @code{[n, dim]} contains @var{n}
% points in a space of dimension dim. The return matrix @var{T} has the
% size @code{[m, dim+1]}. It contains for each row a set of indices to
% the points, which describes a simplex of dimension dim. For example,
% a 2d simplex is a triangle and 3d simplex is a tetrahedron.
%
% Extra options for the underlying Qhull command can be specified by the
% second argument. This argument is a cell array of strings. The default
% options depend on the dimension of the input:
%
% @itemize
% @item 2D and 3D: @var{opt} = @code{@{'Qt', 'Qbb', 'Qc'@}}
% @item 4D and higher: @var{opt} = @code{@{'Qt', 'Qbb', 'Qc', 'Qz'@}}
% @end itemize
%
% If @var{opt} is [], then the default arguments are used. If @var{opt}
% is @code{@{'@w{}'@}}, then none of the default arguments are used by Qhull.
% See the Qhull documentation for the available options.
%
% All options can also be specified as single string, for example
% @code{'Qt Qbb Qc Qz'}.
%
% @end deftypefn