/*========================================================================= * * 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 itkSimilarity2DTransform_h #define itkSimilarity2DTransform_h #include #include "itkRigid2DTransform.h" namespace itk { /** \class Similarity2DTransform * \brief Similarity2DTransform of a vector space (e.g. space coordinates) * * This transform applies a homogeneous scale and rigid transform in * 2D space. The transform is specified as a scale and rotation around * a arbitrary center and is followed by a translation. * given one angle for rotation, a homogeneous scale and a 2D offset for 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] = scale * p[1] = angle * p[2] = x component of the translation * p[3] = 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. * * Access methods for the angle are documented in superclass Rigid2DTransform. * * \sa Transform * \sa MatrixOffsetTransformBase * \sa Rigid2DTransform * * \ingroup ITKTransform */ template class ITK_TEMPLATE_EXPORT Similarity2DTransform : public Rigid2DTransform { public: ITK_DISALLOW_COPY_AND_MOVE(Similarity2DTransform); /** Standard class type aliases. */ using Self = Similarity2DTransform; using Superclass = Rigid2DTransform; using Pointer = SmartPointer; using ConstPointer = SmartPointer; /** New macro for creation of through a Smart Pointer. */ itkNewMacro(Self); /** \see LightObject::GetNameOfClass() */ itkOverrideGetNameOfClassMacro(Similarity2DTransform); /** Dimension of parameters. */ static constexpr unsigned int SpaceDimension = 2; static constexpr unsigned int InputSpaceDimension = 2; static constexpr unsigned int OutputSpaceDimension = 2; static constexpr unsigned int ParametersDimension = 4; using typename Superclass::ScalarType; using ScaleType = TParametersValueType; /** 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; /** Offset type. */ using typename Superclass::OffsetType; using typename Superclass::OffsetValueType; /** Matrix type. */ using typename Superclass::MatrixType; using typename Superclass::MatrixValueType; /** Point type. */ using typename Superclass::InputPointType; using typename Superclass::OutputPointType; /** Vector type. */ using typename Superclass::InputVectorType; using typename Superclass::OutputVectorType; /** CovariantVector type. */ using typename Superclass::InputCovariantVectorType; using typename Superclass::OutputCovariantVectorType; /** VnlVector type. */ using typename Superclass::InputVnlVectorType; using typename Superclass::OutputVnlVectorType; /** 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 Scale part of the transform. */ void SetScale(ScaleType scale); itkGetConstReferenceMacro(Scale, ScaleType); /** Set the transformation from a container of parameters * This is typically used by optimizers. * There are 4 parameters. The first one represents the * scale, the second represents the angle of rotation * and the last two represent 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 4 parameters. The first one represents the * scale, the second represents the angle of rotation, * and the last two represent the translation. * The center of rotation is fixed. * * \sa Transform::GetParameters() * \sa Transform::GetFixedParameters() */ const ParametersType & GetParameters() const override; /** This method computes the Jacobian matrix of the transformation * at a given input point. */ void ComputeJacobianWithRespectToParameters(const InputPointType & p, JacobianType & jacobian) const override; /** Set the transformation to an identity. */ void SetIdentity() override; /** * This method creates and returns a new Similarity2DTransform 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 Similarity2DTransform object * which has the same parameters. */ void CloneTo(Pointer & result) const; /** * Set the rotation Matrix of a Similarity 2D Transform * * This method sets the 2x2 matrix representing a similarity * transform. The Matrix is expected to be a valid * similarity transform with a certain tolerance. * * \warning This method will throw an exception if the matrix * provided as argument is not valid. * * \sa MatrixOffsetTransformBase::SetMatrix() * */ void SetMatrix(const MatrixType & matrix) override; /** * Set the rotation Matrix of a Similarity 2D Transform * * This method sets the 2x2 matrix representing a similarity * transform. The Matrix is expected to be a valid * similarity transform within the given tolerance. * * \warning This method will throw an exception if the matrix * provided as argument is not valid. * * \sa MatrixOffsetTransformBase::SetMatrix() * */ void SetMatrix(const MatrixType & matrix, const TParametersValueType tolerance) override; protected: Similarity2DTransform(unsigned int outputSpaceDimension, unsigned int parametersDimension); Similarity2DTransform(unsigned int parametersDimension); Similarity2DTransform(); ~Similarity2DTransform() override = default; void PrintSelf(std::ostream & os, Indent indent) const override; /** Compute matrix from angle and scale. This is used in Set methods * to update the underlying matrix whenever a transform parameter * is changed. */ void ComputeMatrix() override; /** Compute the angle and scale 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; /** Set the scale without updating underlying variables. */ void SetVarScale(ScaleType scale) { m_Scale = scale; } private: ScaleType m_Scale{}; }; // class Similarity2DTransform } // namespace itk #ifndef ITK_MANUAL_INSTANTIATION # include "itkSimilarity2DTransform.hxx" #endif #endif /* itkSimilarity2DTransform_h */