itkTriangleHelper.h

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/*=========================================================================
 *
 *  Copyright NumFOCUS
 *
 *  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 ITK_TEMPLATE_EXPORT TriangleHelper
{
public:
  using Self = TriangleHelper;
  using PointType = TPoint;
  using CoordRepType = typename PointType::CoordRepType;
  using VectorType = typename PointType::VectorType;
  using CrossVectorType = CrossHelper<VectorType>;
 
  static constexpr unsigned int PointDimension = 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);
};
} // namespace itk
 
#include "itkTriangleHelper.hxx"
#endif