E:/dev/eLynx/include/elx/math/Bezier.h

//============================================================================
//  Bezier.h                                            Math.Component package
//============================================================================
//  Usage : 
//----------------------------------------------------------------------------
//  Copyright (C) 2008 by eLynx project
//
//  This library is free software; you can redistribute it and/or
//  modify it under the terms of the GNU Library General Public
//  License as published by the Free Software Foundation; either
//  version 2 of the License, or (at your option) any later version.
//
//  This library 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 Library General Public License for more details.
//----------------------------------------------------------------------------
#ifndef __Bezier_h__
#define __Bezier_h__

#include <elx/math/Geometry.h>

namespace eLynx {
namespace Math {


//============================================================================
//                 Cubic Bezier Triangle Class  
//============================================================================
template<typename T, typename U>
struct BezierTriangle3 
{
  // Constructor
  BezierTriangle3(T iX0, T iY0, T iX1, T iY1, T iX2, T iY2);
  
  // Swaps verticies
  void Swap(const uint32 iVertex1, const uint32 iVertex2); 

  // Interpolates value at iX, iY location
  void Interpolate(const T iX, const T iY, U* oV) const;

// to be private!
  // Array of 10 control points for cubic patch. 
  // See http://en.wikipedia.org/wiki/Bézier_triangle
  // a^3, b^3, y^3, a^2*b, a*b^2, b^2*y, b*y^2, y^2*a, y*a^2 and a*b*y 
  // First three elements correspond to the vertices of the domain triangle. 
  Point3<U> _cp[10];

private:

  // Domain triangle. 
  BarycentricCoordinates2<T> _bcoord;
};

} // namespace Math
} // namespace eLynx

#include "inl/Bezier.inl"

#endif // __Bezier_h__