itkTriangleHelper.h

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/*=========================================================================

  Program:   Insight Segmentation & Registration Toolkit
  Module:    $RCSfile: itkTriangleHelper.h,v $
  Language:  C++
  Date:      $Date: 2009-03-25 21:20:16 $
  Version:   $Revision: 1.8 $

  Copyright (c) Insight Software Consortium. All rights reserved.
  See ITKCopyright.txt or http://www.itk.org/HTML/Copyright.htm for details.

     This software is distributed WITHOUT ANY WARRANTY; without even
     the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
     PURPOSE.  See the above copyright notices for more information.

=========================================================================*/
#ifndef __itkTriangleHelper_h
#define __itkTriangleHelper_h

#include "itkCrossHelper.h"

namespace itk
{
template< typename TPoint >
class TriangleHelper
{
public:
  typedef TriangleHelper                          Self;
  typedef TPoint                                  PointType;
  typedef typename PointType::CoordRepType        CoordRepType;
  typedef typename PointType::VectorType          VectorType;
  typedef CrossHelper< VectorType >               CrossVectorType;

  itkStaticConstMacro( PointDimension, unsigned int, PointType::PointDimension );

  static bool IsObtuse( const PointType& iA, const PointType& iB, const PointType& iC );

  static VectorType ComputeNormal ( const PointType& iA,
    const PointType& iB,
    const PointType& iC );

  static CoordRepType Cotangent ( const PointType& iA,
                                  const PointType& iB,
                                  const PointType& iC );

  static PointType ComputeBarycenter (
      const CoordRepType& iA1, const PointType& iP1,
      const CoordRepType& iA2, const PointType& iP2,
      const CoordRepType& iA3, const PointType& iP3 );

  static CoordRepType ComputeAngle( const PointType& iP1, const PointType& iP2,
      const PointType& iP3 );

  static PointType ComputeGravityCenter (
      const PointType& iP1,
      const PointType& iP2,
      const PointType& iP3 );

  static PointType ComputeCircumCenter (
      const PointType& iP1,
      const PointType& iP2,
      const PointType& iP3 );

  static PointType ComputeConstrainedCircumCenter ( const PointType& iP1,
      const PointType& iP2, const PointType& iP3 );

  static CoordRepType ComputeArea ( const PointType& iP1, const PointType& iP2, const PointType& iP3 );

protected:
  TriangleHelper( );
  virtual ~TriangleHelper( );

  void PrintSelf ( std::ostream& os, Indent indent ) const;


private:
  TriangleHelper( const Self& ); // purposely not implemented
  void operator = ( const Self& ); // purposely not implemented
};
}

#include "itkTriangleHelper.txx"
#endif