itkTriangleHelper.h

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/*=========================================================================
 *
 *  Copyright Insight Software Consortium
 *
 *  Licensed under the Apache License, Version 2.0 (the "License");
 *  you may not use this file except in compliance with the License.
 *  You may obtain a copy of the License at
 *
 *         http://www.apache.org/licenses/LICENSE-2.0.txt
 *
 *  Unless required by applicable law or agreed to in writing, software
 *  distributed under the License is distributed on an "AS IS" BASIS,
 *  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 *  See the License for the specific language governing permissions and
 *  limitations under the License.
 *
 *=========================================================================*/
#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);

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

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

#include "itkTriangleHelper.hxx"
#endif