mitkBaseGeometry.h

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/*============================================================================
 
The Medical Imaging Interaction Toolkit (MITK)
 
Copyright (c) German Cancer Research Center (DKFZ)
All rights reserved.
 
Use of this source code is governed by a 3-clause BSD license that can be
found in the LICENSE file.
 
============================================================================*/
 
#ifndef mitkBaseGeometry_h
#define mitkBaseGeometry_h
 
#include "mitkOperationActor.h"
#include <MitkCoreExports.h>
#include <mitkCommon.h>
 
#include "itkScalableAffineTransform.h"
#include "mitkNumericTypes.h"
#include <itkBoundingBox.h>
#include <itkIndex.h>
#include <itkQuaternionRigidTransform.h>
#include <mitkAffineTransform3D.h>
 
#include <mitkGeometryTransformHolder.h>
#include <vtkTransform.h>
 
class vtkMatrix4x4;
class vtkMatrixToLinearTransform;
class vtkLinearTransform;
 
namespace mitk
{
  //##Documentation
  //## @brief Standard 3D-BoundingBox typedef
  //##
  //## Standard 3D-BoundingBox typedef to get rid of template arguments (3D, type).
  typedef itk::BoundingBox<unsigned long, 3, ScalarType> BoundingBox;
 
  //##Documentation
  //## @brief Standard typedef for time-bounds
  typedef itk::FixedArray<ScalarType, 2> TimeBounds;
  typedef itk::FixedArray<ScalarType, 3> FixedArrayType;
 
  //##Documentation
  //## @brief BaseGeometry Describes the geometry of a data object
  //##
  //## The class holds
  //## \li a bounding box which is axes-parallel in intrinsic coordinates
  //## (often integer indices of pixels), to be accessed by
  //## GetBoundingBox()
  //## \li a transform to convert intrinsic coordinates into a
  //## world-coordinate system with coordinates in millimeters
  //## and milliseconds (all are floating point values), to
  //## be accessed by GetIndexToWorldTransform()
  //## \li an origin and spacing to define the geometry
  //##
  //## BaseGeometry and its sub-classes allow converting between
  //## intrinsic coordinates (called index or unit coordinates)
  //## and world-coordinates (called world or mm coordinates),
  //## e.g. WorldToIndex.
  //## In case you need integer index coordinates, provide an
  //## mitk::Index3D (or itk::Index) as target variable to
  //## WorldToIndex, otherwise you will get a continuous index
  //## (floating point values).
  //##
  //## An important sub-class is SlicedGeometry3D, which describes
  //## data objects consisting of slices, e.g., objects of type Image.
  //## Conversions between world coordinates (in mm) and unit coordinates
  //## (e.g., pixels in the case of an Image) can be performed.
  //##
  //## For more information on related classes, see \ref Geometry.
  //##
  //## BaseGeometry instances referring to an Image need a slightly
  //## different definition of corners, see SetImageGeometry. This
  //## is usually automatically called by Image.
  //##
  //## BaseGeometry have to be initialized in the method GenerateOutputInformation()
  //## of BaseProcess (or CopyInformation/ UpdateOutputInformation of BaseData,
  //## if possible, e.g., by analyzing pic tags in Image) subclasses. See also
  //## itk::ProcessObject::GenerateOutputInformation(),
  //## itk::DataObject::CopyInformation() and
  //## itk::DataObject::UpdateOutputInformation().
  //##
  //## At least, it can return the bounding box of the data object.
  //##
  //## The BaseGeometry class is an abstract class. The most simple implementation
  //## is the subclass Geometry3D.
  //##
  //## Rule: everything is in mm (ms) if not stated otherwise.
  //## @ingroup Geometry
  class MITKCORE_EXPORT BaseGeometry : public itk::Object, public OperationActor
  {
  public:
    mitkClassMacroItkParent(BaseGeometry, itk::Object);
    itkCloneMacro(Self);
 
      // ********************************** TypeDef **********************************
 
      typedef GeometryTransformHolder::TransformType TransformType;
    typedef itk::BoundingBox<unsigned long, 3, ScalarType> BoundingBoxType;
    typedef BoundingBoxType::BoundsArrayType BoundsArrayType;
    typedef BoundingBoxType::Pointer BoundingBoxPointer;
 
    // ********************************** Origin, Spacing **********************************
 
    //##Documentation
    //## @brief Get the origin, e.g. the upper-left corner of the plane
    const Point3D GetOrigin() const;
 
    //##Documentation
    //## @brief Set the origin, i.e. the upper-left corner of the plane
    //##
    void SetOrigin(const Point3D &origin);
 
    //##Documentation
    //## @brief Get the spacing (size of a pixel).
    //##
    const mitk::Vector3D GetSpacing() const;
 
    //##Documentation
    //## @brief Set the spacing (m_Spacing).
    //##
    //##The spacing is also changed in the IndexToWorldTransform.
    void SetSpacing(const mitk::Vector3D &aSpacing, bool enforceSetSpacing = false);
 
    //##Documentation
    //## @brief Get the origin as VnlVector
    //##
    //## \sa GetOrigin
    VnlVector GetOriginVnl() const;
 
    // ********************************** other functions **********************************
 
    //##Documentation
    //## @brief Get the DICOM FrameOfReferenceID referring to the
    //## used world coordinate system
    itkGetConstMacro(FrameOfReferenceID, unsigned int);
    //##Documentation
    //## @brief Set the DICOM FrameOfReferenceID referring to the
    //## used world coordinate system
    itkSetMacro(FrameOfReferenceID, unsigned int);
 
    itkGetConstMacro(IndexToWorldTransformLastModified, unsigned long);
 
    //##Documentation
    //## @brief Overload of function Modified() to prohibit several calls of Modified() using the ModifiedLock class.
    //##
    //## For the use of Modified(), see class ModifiedLock.
    void Modified() const override;
 
    friend class ModifiedLock;
 
    //##Documentation
    //## @brief Is this BaseGeometry in a state that is valid?
    //##
    //## This function returns always true in the BaseGeometry class. Other implementations are possible in subclasses.
    virtual bool IsValid() const;
 
    // ********************************** Initialize **********************************
 
    //##Documentation
    //## @brief Initialize the BaseGeometry
    void Initialize();
 
    void InitializeGeometry(Self *newGeometry) const;
 
    // ********************************** Transformations Set/Get **********************************
 
    //##Documentation
    //## @brief Get the transformation used to convert from index
    //## to world coordinates
    mitk::AffineTransform3D *GetIndexToWorldTransform();
 
    //##Documentation
    //## @brief Get the transformation used to convert from index
    //## to world coordinates
    const mitk::AffineTransform3D *GetIndexToWorldTransform() const;
 
    //## @brief Set the transformation used to convert from index
    //## to world coordinates. The spacing of the new transform is
    //## copied to m_spacing.
    void SetIndexToWorldTransform(mitk::AffineTransform3D *transform);
 
    //##Documentation
    //## @brief Convenience method for setting the ITK transform
    //## (m_IndexToWorldTransform) via an vtkMatrix4x4.The spacing of
    //## the new transform is copied to m_spacing.
    //## \sa SetIndexToWorldTransform
    void SetIndexToWorldTransformByVtkMatrix(vtkMatrix4x4 *vtkmatrix);
 
    //## @brief Set the transformation used to convert from index
    //## to world coordinates.This function keeps the original spacing.
    void SetIndexToWorldTransformWithoutChangingSpacing(mitk::AffineTransform3D *transform);
 
    //##Documentation
    //## @brief Convenience method for setting the ITK transform
    //## (m_IndexToWorldTransform) via an vtkMatrix4x4. This function keeps the original spacing.
    //## \sa SetIndexToWorldTransform
    void SetIndexToWorldTransformByVtkMatrixWithoutChangingSpacing(vtkMatrix4x4 *vtkmatrix);
 
    //## Get the Vtk Matrix which describes the transform.
    vtkMatrix4x4 *GetVtkMatrix();
    const vtkMatrix4x4* GetVtkMatrix() const;
 
    //##Documentation
    //## @brief Get the m_IndexToWorldTransform as a vtkLinearTransform
    vtkLinearTransform *GetVtkTransform() const;
 
    //##Documentation
    //## @brief Set the transform to identity, the spacing to 1 and origin to 0
    //##
    void SetIdentity();
 
    // ********************************** Transformations **********************************
 
    //##Documentation
    //## @brief Compose new IndexToWorldTransform with a given transform.
    //##
    //## This method composes m_IndexToWorldTransform with another transform,
    //## modifying self to be the composition of self and other.
    //## If the argument pre is true, then other is precomposed with self;
    //## that is, the resulting transformation consists of first applying
    //## other to the source, followed by self. If pre is false or omitted,
    //## then other is post-composed with self; that is the resulting
    //## transformation consists of first applying self to the source,
    //## followed by other.
    //## This method also changes m_spacing.
    void Compose(const TransformType *other, bool pre = false);
 
    //##Documentation
    //## @brief Compose new IndexToWorldTransform with a given vtkMatrix4x4.
    //##
    //## Converts the vtkMatrix4x4 into a itk-transform and calls the previous method.
    void Compose(const vtkMatrix4x4 *vtkmatrix, bool pre = false);
 
    //##Documentation
    //## @brief Translate the origin by a vector
    //##
    void Translate(const Vector3D &vector);
 
    //##Documentation
    //##@brief executes affine operations (translate, rotate, scale)
    void ExecuteOperation(Operation *operation) override;
 
    //##Documentation
    //## @brief Convert world coordinates (in mm) of a \em point to (continuous!) index coordinates
    //## \warning If you need (discrete) integer index coordinates (e.g., for iterating easily over an image),
    //## use WorldToIndex(const mitk::Point3D& pt_mm, itk::Index<VIndexDimension> &index).
    //## For further information about coordinates types, please see the Geometry documentation
    void WorldToIndex(const mitk::Point3D &pt_mm, mitk::Point3D &pt_units) const;
 
    //##Documentation
    //## @brief Convert world coordinates (in mm) of a \em vector
    //## \a vec_mm to (continuous!) index coordinates.
    //## For further information about coordinates types, please see the Geometry documentation
    void WorldToIndex(const mitk::Vector3D &vec_mm, mitk::Vector3D &vec_units) const;
 
    //##Documentation
    //## @brief Convert world coordinates (in mm) of a \em point to (discrete!) index coordinates.
    //## This method rounds to integer indices!
    //## For further information about coordinates types, please see the Geometry documentation
    template <unsigned int VIndexDimension>
    void WorldToIndex(const mitk::Point3D &pt_mm, itk::Index<VIndexDimension> &index) const
    {
      typedef itk::Index<VIndexDimension> IndexType;
      mitk::Point3D pt_units;
      this->WorldToIndex(pt_mm, pt_units);
      int i, dim = index.GetIndexDimension();
      if (dim > 3)
      {
        index.Fill(0);
        dim = 3;
      }
      for (i = 0; i < dim; ++i)
      {
        index[i] = itk::Math::RoundHalfIntegerUp<typename IndexType::IndexValueType>(pt_units[i]);
      }
    }
 
    //##Documentation
    //## @brief Convert (continuous or discrete) index coordinates of a \em vector
    //## \a vec_units to world coordinates (in mm)
    //## For further information about coordinates types, please see the Geometry documentation
    void IndexToWorld(const mitk::Vector3D &vec_units, mitk::Vector3D &vec_mm) const;
 
    //##Documentation
    //## @brief Convert (continuous or discrete) index coordinates of a \em point to world coordinates (in mm)
    //## For further information about coordinates types, please see the Geometry documentation
    void IndexToWorld(const mitk::Point3D &pt_units, mitk::Point3D &pt_mm) const;
 
    //##Documentation
    //## @brief Convert (discrete) index coordinates of a \em point to world coordinates (in mm)
    //## For further information about coordinates types, please see the Geometry documentation
    template <unsigned int VIndexDimension>
    void IndexToWorld(const itk::Index<VIndexDimension> &index, mitk::Point3D &pt_mm) const
    {
      mitk::Point3D pt_units;
      pt_units.Fill(0);
      int i, dim = index.GetIndexDimension();
      if (dim > 3)
      {
        dim = 3;
      }
      for (i = 0; i < dim; ++i)
      {
        pt_units[i] = index[i];
      }
 
      IndexToWorld(pt_units, pt_mm);
    }
 
    //##Documentation
    //## @brief Convert (continuous or discrete) index coordinates of a \em vector
    //## \a vec_units to world coordinates (in mm)
    //## @deprecated First parameter (Point3D) is not used. If possible, please use void IndexToWorld(const
    // mitk::Vector3D& vec_units, mitk::Vector3D& vec_mm) const.
    //## For further information about coordinates types, please see the Geometry documentation
    void IndexToWorld(const mitk::Point3D &atPt3d_units, const mitk::Vector3D &vec_units, mitk::Vector3D &vec_mm) const;
 
    //##Documentation
    //## @brief Convert world coordinates (in mm) of a \em vector
    //## \a vec_mm to (continuous!) index coordinates.
    //## @deprecated First parameter (Point3D) is not used. If possible, please use void WorldToIndex(const
    // mitk::Vector3D& vec_mm, mitk::Vector3D& vec_units) const.
    //## For further information about coordinates types, please see the Geometry documentation
    void WorldToIndex(const mitk::Point3D &atPt3d_mm, const mitk::Vector3D &vec_mm, mitk::Vector3D &vec_units) const;
 
    //##Documentation
    //## @brief Deprecated for use with ITK version 3.10 or newer.
    //## Convert ITK physical coordinates of a \em point (in mm,
    //## but without a rotation) into MITK world coordinates (in mm)
    //##
    //## For more information, see WorldToItkPhysicalPoint.
    template <class TCoordRep>
    void ItkPhysicalPointToWorld(const itk::Point<TCoordRep, 3> &itkPhysicalPoint, mitk::Point3D &pt_mm) const
    {
      mitk::vtk2itk(itkPhysicalPoint, pt_mm);
    }
 
    //##Documentation
    //## @brief Deprecated for use with ITK version 3.10 or newer.
    //## Convert world coordinates (in mm) of a \em point to
    //## ITK physical coordinates (in mm, but without a possible rotation)
    //##
    //## This method is useful if you have want to access an mitk::Image
    //## via an itk::Image. ITK v3.8 and older did not support rotated (tilted)
    //## images, i.e., ITK images are always parallel to the coordinate axes.
    //## When accessing a (possibly rotated) mitk::Image via an itk::Image
    //## the rotational part of the transformation in the BaseGeometry is
    //## simply discarded; in other word: only the origin and spacing is
    //## used by ITK, not the complete matrix available in MITK.
    //## With WorldToItkPhysicalPoint you can convert an MITK world
    //## coordinate (including the rotation) into a coordinate that
    //## can be used with the ITK image as a ITK physical coordinate
    //## (excluding the rotation).
    template <class TCoordRep>
    void WorldToItkPhysicalPoint(const mitk::Point3D &pt_mm, itk::Point<TCoordRep, 3> &itkPhysicalPoint) const
    {
      mitk::vtk2itk(pt_mm, itkPhysicalPoint);
    }
 
    // ********************************** BoundingBox **********************************
 
    itkGetConstObjectMacro(BoundingBox, BoundingBoxType);
 
// a bit of a misuse, but we want only doxygen to see the following:
#ifdef DOXYGEN_SKIP
    //##Documentation
    //## @brief Get bounding box (in index/unit coordinates)
    itkGetConstObjectMacro(BoundingBox, BoundingBoxType);
    //##Documentation
    //## @brief Get bounding box (in index/unit coordinates) as a BoundsArrayType
    const BoundsArrayType GetBounds() const;
#endif
    const BoundsArrayType GetBounds() const;
 
    //##Documentation
    //## \brief Set the bounding box (in index/unit coordinates)
    //##
    //## Only possible via the BoundsArray to make clear that a
    //## copy of the bounding-box is stored, not a reference to it.
    void SetBounds(const BoundsArrayType &bounds);
 
    //##Documentation
    //## @brief Set the bounding box (in index/unit coordinates) via a float array
    void SetFloatBounds(const float bounds[6]);
    //##Documentation
    //## @brief Set the bounding box (in index/unit coordinates) via a double array
    void SetFloatBounds(const double bounds[6]);
 
    //##Documentation
    //## @brief Get a VnlVector along bounding-box in the specified
    //## @a direction, length is spacing
    //##
    //## \sa GetAxisVector
    VnlVector GetMatrixColumn(unsigned int direction) const;
 
    //##Documentation
    //## @brief Calculates a bounding-box around the geometry relative
    //## to a coordinate system defined by a transform
    //##
    mitk::BoundingBox::Pointer CalculateBoundingBoxRelativeToTransform(const mitk::AffineTransform3D *transform) const;
 
//##Documentation
//## @brief Set the time bounds (in ms)
// void SetTimeBounds(const TimeBounds& timebounds);
 
// ********************************** Geometry **********************************
 
#ifdef DOXYGEN_SKIP
    //##Documentation
    //## @brief Get the extent of the bounding box (in index/unit coordinates)
    //##
    //## To access the extent in mm use GetExtentInMM
    ScalarType GetExtent(unsigned int direction) const;
#endif
 
    ScalarType GetExtent(unsigned int direction) const;
 
    //##Documentation
    //## @brief Get the extent of the bounding-box in the specified @a direction in mm
    //##
    //## Equals length of GetAxisVector(direction).
    ScalarType GetExtentInMM(int direction) const;
 
    //##Documentation
    //## @brief Get vector along bounding-box in the specified @a direction in mm
    //##
    //## The length of the vector is the size of the bounding-box in the
    //## specified @a direction in mm
    //## \sa GetMatrixColumn
    Vector3D GetAxisVector(unsigned int direction) const;
 
    //##Documentation
    //## @brief Checks, if the given geometry can be converted to 2D without information loss
    //## e.g. when a 2D image is saved, the matrix is usually cropped to 2x2, and when you load it back to MITK
    //## it will be filled with standard values. This function checks, if information would be lost during this
    //## procedure
    virtual bool Is2DConvertable();
 
    //##Documentation
    //## @brief Get the center of the bounding-box in mm
    //##
    Point3D GetCenter() const;
 
    //##Documentation
    //## @brief Get the squared length of the diagonal of the bounding-box in mm
    //##
    double GetDiagonalLength2() const;
 
    //##Documentation
    //## @brief Get the length of the diagonal of the bounding-box in mm
    //##
    double GetDiagonalLength() const;
 
    //##Documentation
    //## @brief Get the position of the corner number \a id (in world coordinates)
    //##
    //## See SetImageGeometry for how a corner is defined on images.
    Point3D GetCornerPoint(int id) const;
 
    //##Documentation
    //## @brief Get the position of a corner (in world coordinates)
    //##
    //## See SetImageGeometry for how a corner is defined on images.
    Point3D GetCornerPoint(bool xFront = true, bool yFront = true, bool zFront = true) const;
 
    //##Documentation
    //## @brief Set the extent of the bounding-box in the specified @a direction in mm
    //##
    //## @note This changes the matrix in the transform, @a not the bounds, which are given in units!
    void SetExtentInMM(int direction, ScalarType extentInMM);
 
    //##Documentation
    //## @brief Test whether the point \a p (world coordinates in mm) is
    //## inside the bounding box
    bool IsInside(const mitk::Point3D &p) const;
 
    //##Documentation
    //## @brief Test whether the point \a p ((continuous!)index coordinates in units) is
    //## inside the bounding box
    bool IsIndexInside(const mitk::Point3D &index) const;
 
    //##Documentation
    //## @brief Convenience method for working with ITK indices
    template <unsigned int VIndexDimension>
    bool IsIndexInside(const itk::Index<VIndexDimension> &index) const
    {
      int i, dim = index.GetIndexDimension();
      Point3D pt_index;
      pt_index.Fill(0);
      for (i = 0; i < dim; ++i)
      {
        pt_index[i] = index[i];
      }
      return IsIndexInside(pt_index);
    }
 
    // ********************************* Image Geometry ********************************
    //##Documentation
    //## @brief When switching from an Image Geometry to a normal Geometry (and the other way around), you have to
    //change
    // the origin as well (See Geometry Documentation)! This function will change the "isImageGeometry" bool flag and
    // changes the origin respectively.
    virtual void ChangeImageGeometryConsideringOriginOffset(const bool isAnImageGeometry);
 
    //##Documentation
    //## @brief Is this an ImageGeometry?
    //##
    //## For more information, see SetImageGeometry
    itkGetConstMacro(ImageGeometry, bool)
      //##Documentation
      //## @brief Define that this BaseGeometry is referring to an Image
      //##
      //## A geometry referring to an Image needs a slightly different
      //## definition of the position of the corners (see GetCornerPoint).
      //## The position of a voxel is defined by the position of its center.
      //## If we would use the origin (position of the (center of) the first
      //## voxel) as a corner and display this point, it would seem to be
      //## \em not at the corner but a bit within the image. Even worse for
      //## the opposite corner of the image: here the corner would appear
      //## outside the image (by half of the voxel diameter). Thus, we have
      //## to correct for this and to be able to do that, we need to know
      //## that the BaseGeometry is referring to an Image.
      itkSetMacro(ImageGeometry, bool);
      itkBooleanMacro(ImageGeometry);
 
        const GeometryTransformHolder *GetGeometryTransformHolder() const;
 
    //##Documentation
    //## @brief One to one mapping of axes to world orientations.
    //##
    //## The result is stored in the output argument that must be an array of three int values.
    //## The elements of the array will be the axis indices that correspond to the sagittal,
    //## coronal and axial orientations, in this order. It is guaranteed that each axis will
    //## be mapped to different orientations.
    //##
    //## @param axes Output argument that will store the axis indices for each orientation.
    void MapAxesToOrientations(int axes[]) const;
 
  protected:
    // ********************************** Constructor **********************************
    BaseGeometry();
    BaseGeometry(const BaseGeometry &other);
    ~BaseGeometry() override;
 
    itk::LightObject::Pointer InternalClone() const override = 0;
 
    void PrintSelf(std::ostream &os, itk::Indent indent) const override;
 
    static const std::string GetTransformAsString(TransformType *transformType);
 
    itkGetConstMacro(NDimensions, unsigned int);
 
      bool IsBoundingBoxNull() const;
 
    bool IsIndexToWorldTransformNull() const;
 
    void SetVtkMatrixDeepCopy(vtkTransform *vtktransform);
 
    void _SetSpacing(const mitk::Vector3D &aSpacing, bool enforceSetSpacing = false);
 
    //##Documentation
    //## @brief PreSetSpacing
    //##
    //## These virtual function allows a different beahiour in subclasses.
    //## Do implement them in every subclass of BaseGeometry. If not needed, use
    //## {Superclass::PreSetSpacing();};
    virtual void PreSetSpacing(const mitk::Vector3D & /*aSpacing*/){};
 
    //##Documentation
    //## @brief CheckBounds
    //##
    //## This function is called in SetBounds. Assertions can be implemented in this function (see PlaneGeometry.cpp).
    //## If you implement this function in a subclass, make sure, that all classes were your class inherits from
    //## have an implementation of CheckBounds
    //## (e.g. inheritance BaseGeometry <- A <- B. Implementation of CheckBounds in class B needs implementation in A as
    // well!)
    virtual void CheckBounds(const BoundsArrayType & /*bounds*/){};
 
    //##Documentation
    //## @brief CheckIndexToWorldTransform
    //##
    //## This function is called in SetIndexToWorldTransform. Assertions can be implemented in this function (see
    // PlaneGeometry.cpp).
    //## In Subclasses of BaseGeometry, implement own conditions or call Superclass::CheckBounds(bounds);.
    virtual void CheckIndexToWorldTransform(mitk::AffineTransform3D * /*transform*/){};
 
  private:
    GeometryTransformHolder *m_GeometryTransform;
 
    void InitializeGeometryTransformHolder(const BaseGeometry *otherGeometry);
 
    //##Documentation
    //## @brief Bounding Box, which is axes-parallel in intrinsic coordinates
    //## (often integer indices of pixels)
    BoundingBoxPointer m_BoundingBox;
 
    unsigned int m_FrameOfReferenceID;
 
    // mitk::TimeBounds m_TimeBounds;
 
    static const unsigned int m_NDimensions = 3;
 
    mutable TransformType::Pointer m_InvertedTransform;
 
    mutable unsigned long m_IndexToWorldTransformLastModified;
 
    bool m_ImageGeometry;
 
    //##Documentation
    //## @brief ModifiedLockFlag is used to prohibit the call of Modified()
    //##
    //## For the use of this Flag, see class ModifiedLock. This flag should only be set
    //## by the ModifiedLock class!
    bool m_ModifiedLockFlag;
 
    //##Documentation
    //## @brief ModifiedcalledFlag is used to collect calls of Modified().
    //##
    //## For the use of this Flag, see class ModifiedLock. This flag should only be set
    //## by the Modified() function!
    mutable bool m_ModifiedCalledFlag;
  };
 
  // ********************************** Equal Functions **********************************
  //
  // Static compare functions mainly for testing
  //
  MITKCORE_EXPORT bool Equal(const mitk::BaseGeometry& leftHandSide,
    const mitk::BaseGeometry& rightHandSide,
    ScalarType coordinateEps,
    ScalarType directionEps,
    bool verbose = false);
 
  MITKCORE_EXPORT bool Equal(const mitk::BaseGeometry &leftHandSide,
                             const mitk::BaseGeometry &rightHandSide,
                             ScalarType eps = mitk::eps,
                             bool verbose = false);
 
  MITKCORE_EXPORT bool Equal(const mitk::BaseGeometry::TransformType &leftHandSide,
                             const mitk::BaseGeometry::TransformType &rightHandSide,
                             ScalarType eps,
                             bool verbose);
 
  MITKCORE_EXPORT bool Equal(const mitk::BaseGeometry::BoundingBoxType &leftHandSide,
                             const mitk::BaseGeometry::BoundingBoxType &rightHandSide,
                             ScalarType eps,
                             bool verbose);
 
  MITKCORE_EXPORT bool IsSubGeometry(const mitk::BaseGeometry& testGeo,
    const mitk::BaseGeometry& referenceGeo,
    ScalarType coordinateEps,
    ScalarType directionEps,
    bool verbose = false);
 
  MITKCORE_EXPORT bool IsSubGeometry(const mitk::BaseGeometry& testGeo,
    const mitk::BaseGeometry& referenceGeo,
    ScalarType eps = mitk::eps,
    bool verbose = false);
 
} // namespace mitk
 
#endif