maths/SplineDefinitions.cpp

   1 /***************************************************************************
   2  *   This file is part of Tecorrec.                                        *
   3  *   Copyright 2008 James Hogan <james@albanarts.com>                      *
   4  *                                                                         *
   5  *   Tecorrec is free software: you can redistribute it and/or modify      *
   6  *   it under the terms of the GNU General Public License as published by  *
   7  *   the Free Software Foundation, either version 2 of the License, or     *
   8  *   (at your option) any later version.                                   *
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  10  *   Tecorrec is distributed in the hope that it will be useful,           *
  11  *   but WITHOUT ANY WARRANTY; without even the implied warranty of        *
  12  *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the         *
  13  *   GNU General Public License for more details.                          *
  14  *                                                                         *
  15  *   You should have received a copy of the GNU General Public License     *
  16  *   along with Tecorrec.  If not, write to the Free Software Foundation,  *
  17  *   Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.   *
  18  ***************************************************************************/
  19
  20 /**
  21  * @file maths/SplineDefinitions.cpp
  22  * @brief Spline types.
  23  */
  24
  25 #include "SplineDefinitions.h"
  26
  27 // B-Spline
  28 // Doesn't intersect control points
  29 // Nice and smoooooooth
  30 const maths::CubicSplineDefinition<char> maths::bSpline
  31     ( // Spline matrix and divisor
  32       maths::CubicSpline<char>( maths::Vector<4, char>( -1,  3, -3,  1),
  33                                 maths::Vector<4, char>(  3, -6,  0,  4),
  34                                 maths::Vector<4, char>( -3,  3,  3,  1),
  35                                 maths::Vector<4, char>(  1,  0,  0,  0), 6),
  36       // Tangent matrix and divisor
  37       maths::CubicSpline<char>( maths::Vector<4, char>(  0, -1,  2, -1),
  38                                 maths::Vector<4, char>(  0,  3, -4,  0),
  39                                 maths::Vector<4, char>(  0, -3,  2,  1),
  40                                 maths::Vector<4, char>(  0,  1,  0,  0), 2)
  41     );
  42
  43 // Catmull-Rom Spline
  44 // Intersects control points
  45 // Not as smoooooth as B-Spline
  46 const maths:: CubicSplineDefinition<char> maths::catmullRomSpline
  47     ( // Spline matrix and divisor
  48       maths::CubicSpline<char>( maths::Vector<4, char>( -1,  2, -1,  0),
  49                                 maths::Vector<4, char>(  3, -5,  0,  2),
  50                                 maths::Vector<4, char>( -3,  4,  1,  0),
  51                                 maths::Vector<4, char>(  1, -1,  0,  0), 2),
  52       // Tangent matrix and divisor
  53       maths::CubicSpline<char>( maths::Vector<4, char>( -3, -1,  4, -1),
  54                                 maths::Vector<4, char>(  9,  3,-10,  0),
  55                                 maths::Vector<4, char>( -9, -3,  8,  1),
  56                                 maths::Vector<4, char>(  3,  1, -2,  0), 2)
  57     );