//===========================================================================
// GoTools - SINTEF Geometry Tools version 1.0
//
// GoTools module: Implicitization, version 0.9
//
// Copyright (C) 2000-2005 SINTEF ICT, Applied Mathematics, Norway.
//
// This program is free software; you can redistribute it and/or          
// modify it under the terms of the GNU General Public License            
// as published by the Free Software Foundation version 2 of the License. 
//
// This program is distributed in the hope that it will be useful,        
// but WITHOUT ANY WARRANTY; without even the implied warranty of         
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the          
// GNU General Public License for more details.                           
//
// You should have received a copy of the GNU General Public License      
// along with this program; if not, write to the Free Software            
// Foundation, Inc.,                                                      
// 59 Temple Place - Suite 330,                                           
// Boston, MA  02111-1307, USA.                                           
//
// Contact information: e-mail: tor.dokken@sintef.no                      
// SINTEF ICT, Department of Applied Mathematics,                         
// P.O. Box 124 Blindern,                                                 
// 0314 Oslo, Norway.                                                     
//
// Other licenses are also available for this software, notably licenses
// for:
// - Building commercial software.                                        
// - Building software whose source code you wish to keep private.        
//===========================================================================
#include "ImplicitizePointCloudAlgo.h"
#include "ImplicitUtils.h"
#include "GeometryTools.h"


using namespace std;


namespace Go {


//==========================================================================
void ImplicitizePointCloudAlgo::perform()
//==========================================================================
{
    // Create barycentric coordinate system
    create_bary_coord_system3D(cloud_, bc_);

    // Convert point cloud to barycentric coordinates
    PointCloud4D cloud_bc;
    cart_to_bary(cloud_, bc_, cloud_bc);

    // Make the matrix of numerical coefficients (the D-matrix). Any
    // vector in the nullspace of this matrix will be a solution.
    vector<vector<double> > mat;
    make_matrix(cloud_bc, deg_, mat);

    // Find the nullspace and construct the implicit function.
    vector<double> b;
    make_implicit_svd(mat, b);

    // Set the coefficients
    implicit_ = BernsteinTetrahedralPoly(deg_, b);

    return;
}


//==========================================================================


} // namespace Go
