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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
*
* https://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 itkRigid2DTransform_h
#define itkRigid2DTransform_h
#include "itkMatrixOffsetTransformBase.h"
namespace itk
{
/** \class Rigid2DTransform
* \brief Rigid2DTransform of a vector space (e.g. space coordinates)
*
* This transform applies a rigid transformation in 2D space.
* The transform is specified as a rotation around a arbitrary center
* and is followed by a translation.
*
* The parameters for this transform can be set either using
* individual Set methods or in serialized form using
* SetParameters() and SetFixedParameters().
*
* The serialization of the optimizable parameters is an array of 3 elements
* ordered as follows:
* p[0] = angle
* p[1] = x component of the translation
* p[2] = y component of the translation
*
* The serialization of the fixed parameters is an array of 2 elements
* ordered as follows:
* p[0] = x coordinate of the center
* p[1] = y coordinate of the center
*
* Access methods for the center, translation and underlying matrix
* offset vectors are documented in the superclass MatrixOffsetTransformBase.
*
* \sa Transform
* \sa MatrixOffsetTransformBase
*
* \ingroup ITKTransform
*/
template <typename TParametersValueType = double>
class ITK_TEMPLATE_EXPORT Rigid2DTransform : public MatrixOffsetTransformBase<TParametersValueType, 2, 2>
{
public:
ITK_DISALLOW_COPY_AND_MOVE(Rigid2DTransform);
/** Standard class type aliases. */
using Self = Rigid2DTransform;
using Superclass = MatrixOffsetTransformBase<TParametersValueType, 2, 2>;
using Pointer = SmartPointer<Self>;
using ConstPointer = SmartPointer<const Self>;
/** \see LightObject::GetNameOfClass() */
itkOverrideGetNameOfClassMacro(Rigid2DTransform);
/** New macro for creation of through a Smart Pointer */
itkNewMacro(Self);
/** Dimension of the space. */
static constexpr unsigned int InputSpaceDimension = 2;
static constexpr unsigned int OutputSpaceDimension = 2;
static constexpr unsigned int ParametersDimension = 3;
/** Scalar type. */
using typename Superclass::ScalarType;
/** Parameters type. */
using typename Superclass::ParametersType;
using typename Superclass::ParametersValueType;
using typename Superclass::FixedParametersType;
using typename Superclass::FixedParametersValueType;
/** Jacobian type. */
using typename Superclass::JacobianType;
using typename Superclass::JacobianPositionType;
using typename Superclass::InverseJacobianPositionType;
// / Standard matrix type for this class
using typename Superclass::MatrixType;
using typename Superclass::MatrixValueType;
// / Standard vector type for this class
using typename Superclass::OffsetType;
using typename Superclass::OffsetValueType;
// / Standard vector type for this class
using typename Superclass::InputVectorType;
using typename Superclass::OutputVectorType;
using typename Superclass::OutputVectorValueType;
// / Standard covariant vector type for this class
using typename Superclass::InputCovariantVectorType;
using typename Superclass::OutputCovariantVectorType;
// / Standard vnl_vector type for this class
using typename Superclass::InputVnlVectorType;
using typename Superclass::OutputVnlVectorType;
// / Standard coordinate point type for this class
using typename Superclass::InputPointType;
using typename Superclass::OutputPointType;
/** Base inverse transform type. This type should not be changed to the
* concrete inverse transform type or inheritance would be lost. */
using InverseTransformBaseType = typename Superclass::InverseTransformBaseType;
using InverseTransformBasePointer = typename InverseTransformBaseType::Pointer;
/**
* Set the rotation Matrix of a Rigid2D Transform
*
* This method sets the 2x2 matrix representing the rotation
* in the transform. The Matrix is expected to be orthogonal
* with a certain tolerance.
*
* \warning This method will throw an exception is the matrix
* provided as argument is not orthogonal.
*
* \sa MatrixOffsetTransformBase::SetMatrix()
*/
void
SetMatrix(const MatrixType & matrix) override;
/**
* Set the rotation Matrix of a Rigid2D Transform
*
* This method sets the 2x2 matrix representing the rotation
* in the transform. The Matrix is expected to be orthogonal
* with a certain tolerance.
*
* \warning This method will throw an exception is the matrix
* provided as argument is not orthogonal within the given tolerance.
*
* \sa MatrixOffsetTransformBase::SetMatrix()
*/
virtual void
SetMatrix(const MatrixType & matrix, const TParametersValueType tolerance);
/**
* Compose the transformation with a translation
*
* This method modifies self to include a translation of the
* origin. The translation is precomposed with self if pre is
* true, and postcomposed otherwise.
*/
void
Translate(const OffsetType & offset, bool pre = false);
/**
* Back transform by an rigid transformation.
*
* The BackTransform() methods are slated to be removed from ITK.
* Instead, please use GetInverse() or CloneInverseTo() to generate
* an inverse transform and then perform the transform using that
* inverted transform.
*/
inline InputPointType
BackTransform(const OutputPointType & point) const;
inline InputVectorType
BackTransform(const OutputVectorType & vect) const;
inline InputVnlVectorType
BackTransform(const OutputVnlVectorType & vect) const;
inline InputCovariantVectorType
BackTransform(const OutputCovariantVectorType & vect) const;
/** Set/Get the angle of rotation in radians */
void
SetAngle(TParametersValueType angle);
itkGetConstReferenceMacro(Angle, TParametersValueType);
/** Set the angle of rotation in degrees. */
void
SetAngleInDegrees(TParametersValueType angle);
/** Set/Get the angle of rotation in radians. These methods
* are old and are retained for backward compatibility.
* Instead, use SetAngle() and GetAngle(). */
void
SetRotation(TParametersValueType angle)
{
this->SetAngle(angle);
}
virtual const TParametersValueType &
GetRotation() const
{
return m_Angle;
}
/** Set the transformation from a container of parameters
* This is typically used by optimizers.
* There are 3 parameters. The first one represents the
* angle of rotation in radians and the last two represents the translation.
* The center of rotation is fixed.
*
* \sa Transform::SetParameters()
* \sa Transform::SetFixedParameters() */
void
SetParameters(const ParametersType & parameters) override;
/** Get the parameters that uniquely define the transform
* This is typically used by optimizers.
* There are 3 parameters. The first one represents the
* angle or rotation in radians and the last two represents the translation.
* The center of rotation is fixed.
*
* \sa Transform::GetParameters()
* \sa Transform::GetFixedParameters() */
const ParametersType &
GetParameters() const override;
/** Compute the Jacobian Matrix of the transformation at one point,
* allowing for thread-safety. */
void
ComputeJacobianWithRespectToParameters(const InputPointType & p, JacobianType & j) const override;
/**
* This method creates and returns a new Rigid2DTransform object
* which is the inverse of self.
*/
void
CloneInverseTo(Pointer & result) const;
/** Get an inverse of this transform. */
bool
GetInverse(Self * inverse) const;
/** Return an inverse of this transform. */
InverseTransformBasePointer
GetInverseTransform() const override;
/**
* This method creates and returns a new Rigid2DTransform object
* which has the same parameters.
*/
void
CloneTo(Pointer & result) const;
/** Reset the parameters to create and identity transform. */
void
SetIdentity() override;
protected:
Rigid2DTransform(unsigned int outputSpaceDimension, unsigned int parametersDimension);
Rigid2DTransform(unsigned int parametersDimension);
Rigid2DTransform();
~Rigid2DTransform() override = default;
/**
* Print contents of an Rigid2DTransform
*/
void
PrintSelf(std::ostream & os, Indent indent) const override;
/** Compute the matrix from angle. This is used in Set methods
* to update the underlying matrix whenever a transform parameter
* is changed. */
void
ComputeMatrix() override;
/** Compute the angle from the matrix. This is used to compute
* transform parameters from a given matrix. This is used in
* MatrixOffsetTransformBase::Compose() and
* MatrixOffsetTransformBase::GetInverse(). */
void
ComputeMatrixParameters() override;
/** Update angle without recomputation of other internal variables. */
void
SetVarAngle(TParametersValueType angle)
{
m_Angle = angle;
}
private:
TParametersValueType m_Angle{};
}; // class Rigid2DTransform
// Back transform a point
template <typename TParametersValueType>
inline auto
Rigid2DTransform<TParametersValueType>::BackTransform(const OutputPointType & point) const -> InputPointType
{
itkWarningMacro("BackTransform(): This method is slated to be removed from ITK. Instead, please use GetInverse() "
"to generate an inverse transform and then perform the transform using that inverted transform.");
return this->GetInverseMatrix() * (point - this->GetOffset());
}
// Back transform a vector
template <typename TParametersValueType>
inline auto
Rigid2DTransform<TParametersValueType>::BackTransform(const OutputVectorType & vect) const -> InputVectorType
{
itkWarningMacro("BackTransform(): This method is slated to be removed from ITK. Instead, please use GetInverse() "
"to generate an inverse transform and then perform the transform using that inverted transform.");
return this->GetInverseMatrix() * vect;
}
// Back transform a vnl_vector
template <typename TParametersValueType>
inline auto
Rigid2DTransform<TParametersValueType>::BackTransform(const OutputVnlVectorType & vect) const -> InputVnlVectorType
{
itkWarningMacro("BackTransform(): This method is slated to be removed from ITK. Instead, please use GetInverse() "
"to generate an inverse transform and then perform the transform using that inverted transform.");
return this->GetInverseMatrix() * vect;
}
// Back Transform a CovariantVector
template <typename TParametersValueType>
inline auto
Rigid2DTransform<TParametersValueType>::BackTransform(const OutputCovariantVectorType & vect) const
-> InputCovariantVectorType
{
itkWarningMacro("BackTransform(): This method is slated to be removed from ITK. Instead, please use GetInverse() "
"to generate an inverse transform and then perform the transform using that inverted transform.");
return this->GetMatrix() * vect;
}
} // namespace itk
#ifndef ITK_MANUAL_INSTANTIATION
# include "itkRigid2DTransform.hxx"
#endif
#endif /* itkRigid2DTransform_h */
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