ImplicitUtils.h

//===========================================================================
// GoTools - SINTEF Geometry Tools
//
// GoTools module: Implicitization, version 1.0
//
// Copyright (C) 2000-2007 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.        
//===========================================================================
#ifndef _IMPLICITUTILS_H
#define _IMPLICITUTILS_H


#include "BaryCoordSystem.h"
#include "PointCloud.h"
#include <vector>


namespace Go {



class BernsteinPoly;
class BernsteinMulti;
class BernsteinTriangularPoly;
class BernsteinTetrahedralPoly;
class SplineCurve;
class SplineSurface;
class BoundingBox;


void create_bary_coord_system2D(const SplineCurve& curve,
                                BaryCoordSystem2D& bc);

void create_bary_coord_system3D(const SplineCurve& curve,
                                BaryCoordSystem3D& bc);

void create_bary_coord_system3D(const SplineSurface& surface,
                                BaryCoordSystem3D& bc);

void create_bary_coord_system3D(const PointCloud3D& cloud,
                                BaryCoordSystem3D& bc);

void create_bary_coord_system3D(const BoundingBox& box,
                                BaryCoordSystem3D& bc);

void cart_to_bary(const SplineCurve& cv, const BaryCoordSystem2D& bc,
                  SplineCurve& cv_bc);

void cart_to_bary(const SplineCurve& cv, const BaryCoordSystem3D& bc,
                  SplineCurve& cv_bc);

void cart_to_bary(const SplineSurface& sf, const BaryCoordSystem3D& bc,
                  SplineSurface& sf_bc);

void cart_to_bary(const PointCloud3D& cloud, const BaryCoordSystem3D& bc,
                  PointCloud4D& cloud_bc);

void make_matrix(const SplineCurve& curve, int deg,
                 std::vector<std::vector<double> >& mat);

void make_matrix(const SplineSurface& surf, int deg,
                 std::vector<std::vector<double> >& mat);

void make_matrix(const PointCloud4D& cloud, int deg,
                 std::vector<std::vector<double> >& mat);

void make_implicit_svd(std::vector<std::vector<double> >& mat, 
                       std::vector<double>& b, double& sigma_min);

void make_implicit_gauss(std::vector<std::vector<double> >& mat,
                         std::vector<double>& b);


} // namespace Go


#endif // _IMPLICITUTILS_H

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