ITK
4.3.0
Insight Segmentation and Registration Toolkit
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#include <itkSimilarity2DTransform.h>
Similarity2DTransform of a vector space (e.g. space coordinates)
This transform applies a homogenous 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.
Definition at line 63 of file itkSimilarity2DTransform.h.
Public Types | |
typedef SmartPointer< const Self > | ConstPointer |
typedef Superclass::InputCovariantVectorType | InputCovariantVectorType |
typedef Superclass::InputPointType | InputPointType |
typedef Superclass::InputVectorType | InputVectorType |
typedef Superclass::InputVnlVectorType | InputVnlVectorType |
typedef InverseTransformBaseType::Pointer | InverseTransformBasePointer |
typedef Superclass::InverseTransformBaseType | InverseTransformBaseType |
typedef Superclass::JacobianType | JacobianType |
typedef Superclass::MatrixType | MatrixType |
typedef Superclass::MatrixValueType | MatrixValueType |
typedef Superclass::OffsetType | OffsetType |
typedef Superclass::OffsetValueType | OffsetValueType |
typedef Superclass::OutputCovariantVectorType | OutputCovariantVectorType |
typedef Superclass::OutputPointType | OutputPointType |
typedef Superclass::OutputVectorType | OutputVectorType |
typedef Superclass::OutputVnlVectorType | OutputVnlVectorType |
typedef Superclass::ParametersType | ParametersType |
typedef Superclass::ParametersValueType | ParametersValueType |
typedef SmartPointer< Self > | Pointer |
typedef Superclass::ScalarType | ScalarType |
typedef TScalarType | ScaleType |
typedef Similarity2DTransform | Self |
typedef Rigid2DTransform < TScalarType > | Superclass |
Public Types inherited from itk::Rigid2DTransform< TScalarType > | |
typedef SmartPointer< const Self > | ConstPointer |
typedef Superclass::InputCovariantVectorType | InputCovariantVectorType |
typedef Superclass::InputPointType | InputPointType |
typedef Superclass::InputVectorType | InputVectorType |
typedef Superclass::InputVnlVectorType | InputVnlVectorType |
typedef InverseTransformBaseType::Pointer | InverseTransformBasePointer |
typedef Superclass::InverseTransformBaseType | InverseTransformBaseType |
typedef Superclass::JacobianType | JacobianType |
typedef Superclass::MatrixType | MatrixType |
typedef Superclass::MatrixValueType | MatrixValueType |
typedef Superclass::OffsetType | OffsetType |
typedef Superclass::OffsetValueType | OffsetValueType |
typedef Superclass::OutputCovariantVectorType | OutputCovariantVectorType |
typedef Superclass::OutputPointType | OutputPointType |
typedef Superclass::OutputVectorType | OutputVectorType |
typedef Superclass::OutputVectorValueType | OutputVectorValueType |
typedef Superclass::OutputVnlVectorType | OutputVnlVectorType |
typedef Superclass::ParametersType | ParametersType |
typedef Superclass::ParametersValueType | ParametersValueType |
typedef SmartPointer< Self > | Pointer |
typedef Superclass::ScalarType | ScalarType |
typedef Rigid2DTransform | Self |
typedef MatrixOffsetTransformBase < TScalarType, 2, 2 > | Superclass |
Public Types inherited from itk::MatrixOffsetTransformBase< TScalarType, 2, 2 > | |
typedef InputPointType | CenterType |
typedef SmartPointer< const Self > | ConstPointer |
typedef Superclass::InputDiffusionTensor3DType | InputDiffusionTensor3DType |
typedef Superclass::InputSymmetricSecondRankTensorType | InputSymmetricSecondRankTensorType |
typedef CovariantVector < TScalarType, InputDiffusionTensor3DType::Dimension > | InputTensorEigenVectorType |
typedef Superclass::InputVectorPixelType | InputVectorPixelType |
typedef Matrix< TScalarType, itkGetStaticConstMacro(InputSpaceDimension), itkGetStaticConstMacro(OutputSpaceDimension)> | InverseMatrixType |
typedef InverseTransformBaseType::Pointer | InverseTransformBasePointer |
typedef Superclass::InverseTransformBaseType | InverseTransformBaseType |
typedef Superclass::JacobianType | JacobianType |
typedef OutputVectorType | OffsetType |
typedef OffsetType::ValueType | OffsetValueType |
typedef Superclass::OutputDiffusionTensor3DType | OutputDiffusionTensor3DType |
typedef Superclass::OutputSymmetricSecondRankTensorType | OutputSymmetricSecondRankTensorType |
typedef Superclass::OutputVectorPixelType | OutputVectorPixelType |
typedef Superclass::ParametersType | ParametersType |
typedef Superclass::ParametersValueType | ParametersValueType |
typedef SmartPointer< Self > | Pointer |
typedef Superclass::ScalarType | ScalarType |
typedef MatrixOffsetTransformBase | Self |
typedef Transform< TScalarType, NInputDimensions, NOutputDimensions > | Superclass |
typedef Superclass::TransformCategoryType | TransformCategoryType |
typedef OutputVectorType | TranslationType |
typedef TranslationType::ValueType | TranslationValueType |
typedef Vector< TScalarType, itkGetStaticConstMacro(InputSpaceDimension)> | InputVectorType |
typedef Vector< TScalarType, itkGetStaticConstMacro(OutputSpaceDimension)> | OutputVectorType |
typedef OutputVectorType::ValueType | OutputVectorValueType |
typedef CovariantVector < TScalarType, itkGetStaticConstMacro(InputSpaceDimension)> | InputCovariantVectorType |
typedef CovariantVector < TScalarType, itkGetStaticConstMacro(OutputSpaceDimension)> | OutputCovariantVectorType |
typedef vnl_vector_fixed < TScalarType, itkGetStaticConstMacro(InputSpaceDimension)> | InputVnlVectorType |
typedef vnl_vector_fixed < TScalarType, itkGetStaticConstMacro(OutputSpaceDimension)> | OutputVnlVectorType |
typedef Point< TScalarType, itkGetStaticConstMacro(InputSpaceDimension)> | InputPointType |
typedef InputPointType::ValueType | InputPointValueType |
typedef Point< TScalarType, itkGetStaticConstMacro(OutputSpaceDimension)> | OutputPointType |
typedef OutputPointType::ValueType | OutputPointValueType |
typedef Matrix< TScalarType, itkGetStaticConstMacro(OutputSpaceDimension), itkGetStaticConstMacro(InputSpaceDimension)> | MatrixType |
typedef MatrixType::ValueType | MatrixValueType |
Public Types inherited from itk::Transform< TScalarType, NInputDimensions, NOutputDimensions > | |
typedef SmartPointer< const Self > | ConstPointer |
typedef Array < ParametersValueType > | DerivativeType |
typedef Matrix< double, itkGetStaticConstMacro(OutputSpaceDimension), itkGetStaticConstMacro(InputSpaceDimension)> | DirectionChangeMatrix |
typedef CovariantVector < TScalarType, NInputDimensions > | InputCovariantVectorType |
typedef DiffusionTensor3D < TScalarType > | InputDiffusionTensor3DType |
typedef Matrix< double, itkGetStaticConstMacro(InputSpaceDimension), itkGetStaticConstMacro(InputSpaceDimension)> | InputDirectionMatrix |
typedef Point< TScalarType, NInputDimensions > | InputPointType |
typedef SymmetricSecondRankTensor < TScalarType, NInputDimensions > | InputSymmetricSecondRankTensorType |
typedef VariableLengthVector < TScalarType > | InputVectorPixelType |
typedef Vector< TScalarType, NInputDimensions > | InputVectorType |
typedef vnl_vector_fixed < TScalarType, NInputDimensions > | InputVnlVectorType |
typedef InverseTransformBaseType::Pointer | InverseTransformBasePointer |
typedef Transform< TScalarType, NOutputDimensions, NInputDimensions > | InverseTransformBaseType |
typedef Array2D < ParametersValueType > | JacobianType |
typedef Matrix< TScalarType, itkGetStaticConstMacro(OutputSpaceDimension), itkGetStaticConstMacro(InputSpaceDimension)> | MatrixType |
typedef Superclass::NumberOfParametersType | NumberOfParametersType |
typedef CovariantVector < TScalarType, NOutputDimensions > | OutputCovariantVectorType |
typedef DiffusionTensor3D < TScalarType > | OutputDiffusionTensor3DType |
typedef Matrix< double, itkGetStaticConstMacro(OutputSpaceDimension), itkGetStaticConstMacro(OutputSpaceDimension)> | OutputDirectionMatrix |
typedef Point< TScalarType, NOutputDimensions > | OutputPointType |
typedef SymmetricSecondRankTensor < TScalarType, NOutputDimensions > | OutputSymmetricSecondRankTensorType |
typedef VariableLengthVector < TScalarType > | OutputVectorPixelType |
typedef Vector< TScalarType, NOutputDimensions > | OutputVectorType |
typedef vnl_vector_fixed < TScalarType, NOutputDimensions > | OutputVnlVectorType |
typedef Superclass::ParametersType | ParametersType |
typedef Superclass::ParametersValueType | ParametersValueType |
typedef SmartPointer< Self > | Pointer |
typedef TScalarType | ScalarType |
typedef Transform | Self |
typedef TransformBase | Superclass |
Public Types inherited from itk::TransformBase | |
typedef SmartPointer< const Self > | ConstPointer |
typedef IdentifierType | NumberOfParametersType |
typedef OptimizerParameters < ParametersValueType > | ParametersType |
typedef double | ParametersValueType |
typedef SmartPointer< Self > | Pointer |
typedef TransformBase | Self |
typedef Object | Superclass |
enum | TransformCategoryType { UnknownTransformCategory =0, Linear =1, BSpline =2, Spline =3, DisplacementField =4, VelocityField =5 } |
Public Types inherited from itk::Object | |
typedef SmartPointer< const Self > | ConstPointer |
typedef SmartPointer< Self > | Pointer |
typedef Object | Self |
typedef LightObject | Superclass |
Public Types inherited from itk::LightObject | |
typedef SmartPointer< const Self > | ConstPointer |
typedef SmartPointer< Self > | Pointer |
typedef LightObject | Self |
Static Public Member Functions | |
static Pointer | New () |
Static Public Member Functions inherited from itk::Rigid2DTransform< TScalarType > | |
static Pointer | New () |
Static Public Member Functions inherited from itk::MatrixOffsetTransformBase< TScalarType, 2, 2 > | |
static Pointer | New () |
Static Public Attributes | |
static const unsigned int | SpaceDimension = 2 |
static const unsigned int | InputSpaceDimension = 2 |
static const unsigned int | OutputSpaceDimension = 2 |
static const unsigned int | ParametersDimension = 4 |
Static Public Attributes inherited from itk::Rigid2DTransform< TScalarType > | |
static const unsigned int | InputSpaceDimension = 2 |
static const unsigned int | OutputSpaceDimension = 2 |
static const unsigned int | ParametersDimension = 3 |
Static Public Attributes inherited from itk::MatrixOffsetTransformBase< TScalarType, 2, 2 > | |
static const unsigned int | InputSpaceDimension |
static const unsigned int | OutputSpaceDimension |
static const unsigned int | ParametersDimension |
Static Public Attributes inherited from itk::Transform< TScalarType, NInputDimensions, NOutputDimensions > | |
static const unsigned int | InputSpaceDimension = NInputDimensions |
static const unsigned int | OutputSpaceDimension = NOutputDimensions |
Protected Member Functions | |
virtual void | ComputeMatrix (void) |
virtual void | ComputeMatrixParameters (void) |
void | PrintSelf (std::ostream &os, Indent indent) const |
void | SetVarScale (ScaleType scale) |
Similarity2DTransform (unsigned int outputSpaceDimension, unsigned int parametersDimension) | |
Similarity2DTransform (unsigned int parametersDimension) | |
Similarity2DTransform () | |
~Similarity2DTransform () | |
Protected Member Functions inherited from itk::Rigid2DTransform< TScalarType > | |
Rigid2DTransform (unsigned int outputSpaceDimension, unsigned int parametersDimension) | |
Rigid2DTransform (unsigned int parametersDimension) | |
Rigid2DTransform () | |
void | SetVarAngle (TScalarType angle) |
~Rigid2DTransform () | |
Protected Member Functions inherited from itk::MatrixOffsetTransformBase< TScalarType, 2, 2 > | |
virtual void | ComputeOffset (void) |
virtual void | ComputeTranslation (void) |
const InverseMatrixType & | GetInverseMatrix (void) const |
const InverseMatrixType & | GetVarInverseMatrix (void) const |
bool | InverseMatrixIsOld (void) const |
void | PrintSelf (std::ostream &s, Indent indent) const |
void | SetVarCenter (const InputPointType ¢er) |
void | SetVarInverseMatrix (const InverseMatrixType &matrix) const |
void | SetVarMatrix (const MatrixType &matrix) |
void | SetVarOffset (const OutputVectorType &offset) |
void | SetVarTranslation (const OutputVectorType &translation) |
virtual | ~MatrixOffsetTransformBase () |
MatrixOffsetTransformBase (const MatrixType &matrix, const OutputVectorType &offset) | |
MatrixOffsetTransformBase (unsigned int paramDims) | |
MatrixOffsetTransformBase () | |
Protected Member Functions inherited from itk::Transform< TScalarType, NInputDimensions, NOutputDimensions > | |
virtual LightObject::Pointer | InternalClone () const |
OutputDiffusionTensor3DType | PreservationOfPrincipalDirectionDiffusionTensor3DReorientation (const InputDiffusionTensor3DType, const JacobianType) const |
Transform () | |
Transform (NumberOfParametersType NumberOfParameters) | |
virtual | ~Transform () |
Protected Member Functions inherited from itk::TransformBase | |
TransformBase () | |
virtual | ~TransformBase () |
Protected Member Functions inherited from itk::Object | |
Object () | |
bool | PrintObservers (std::ostream &os, Indent indent) const |
virtual void | SetTimeStamp (const TimeStamp &time) |
virtual | ~Object () |
Protected Member Functions inherited from itk::LightObject | |
LightObject () | |
virtual void | PrintHeader (std::ostream &os, Indent indent) const |
virtual void | PrintTrailer (std::ostream &os, Indent indent) const |
virtual | ~LightObject () |
Private Member Functions | |
void | operator= (const Self &) |
Similarity2DTransform (const Self &) | |
Private Attributes | |
ScaleType | m_Scale |
Additional Inherited Members | |
Protected Types inherited from itk::LightObject | |
typedef int | InternalReferenceCountType |
Protected Attributes inherited from itk::Transform< TScalarType, NInputDimensions, NOutputDimensions > | |
DirectionChangeMatrix | m_DirectionChange |
ParametersType | m_FixedParameters |
ParametersType | m_Parameters |
typedef SmartPointer<const Self> itk::Similarity2DTransform< TScalarType >::ConstPointer |
Definition at line 71 of file itkSimilarity2DTransform.h.
typedef Superclass::InputCovariantVectorType itk::Similarity2DTransform< TScalarType >::InputCovariantVectorType |
CovariantVector type.
Definition at line 114 of file itkSimilarity2DTransform.h.
typedef Superclass::InputPointType itk::Similarity2DTransform< TScalarType >::InputPointType |
Point type.
Definition at line 106 of file itkSimilarity2DTransform.h.
typedef Superclass::InputVectorType itk::Similarity2DTransform< TScalarType >::InputVectorType |
Vector type.
Definition at line 110 of file itkSimilarity2DTransform.h.
typedef Superclass::InputVnlVectorType itk::Similarity2DTransform< TScalarType >::InputVnlVectorType |
VnlVector type.
Definition at line 118 of file itkSimilarity2DTransform.h.
typedef InverseTransformBaseType::Pointer itk::Similarity2DTransform< TScalarType >::InverseTransformBasePointer |
Definition at line 124 of file itkSimilarity2DTransform.h.
typedef Superclass::InverseTransformBaseType itk::Similarity2DTransform< TScalarType >::InverseTransformBaseType |
Base inverse transform type. This type should not be changed to the concrete inverse transform type or inheritance would be lost.
Definition at line 123 of file itkSimilarity2DTransform.h.
typedef Superclass::JacobianType itk::Similarity2DTransform< TScalarType >::JacobianType |
Jacobian type.
Definition at line 95 of file itkSimilarity2DTransform.h.
typedef Superclass::MatrixType itk::Similarity2DTransform< TScalarType >::MatrixType |
Matrix type.
Definition at line 102 of file itkSimilarity2DTransform.h.
typedef Superclass::MatrixValueType itk::Similarity2DTransform< TScalarType >::MatrixValueType |
Definition at line 103 of file itkSimilarity2DTransform.h.
typedef Superclass::OffsetType itk::Similarity2DTransform< TScalarType >::OffsetType |
Offset type.
Definition at line 98 of file itkSimilarity2DTransform.h.
typedef Superclass::OffsetValueType itk::Similarity2DTransform< TScalarType >::OffsetValueType |
Definition at line 99 of file itkSimilarity2DTransform.h.
typedef Superclass::OutputCovariantVectorType itk::Similarity2DTransform< TScalarType >::OutputCovariantVectorType |
Definition at line 115 of file itkSimilarity2DTransform.h.
typedef Superclass::OutputPointType itk::Similarity2DTransform< TScalarType >::OutputPointType |
Definition at line 107 of file itkSimilarity2DTransform.h.
typedef Superclass::OutputVectorType itk::Similarity2DTransform< TScalarType >::OutputVectorType |
Definition at line 111 of file itkSimilarity2DTransform.h.
typedef Superclass::OutputVnlVectorType itk::Similarity2DTransform< TScalarType >::OutputVnlVectorType |
Definition at line 119 of file itkSimilarity2DTransform.h.
typedef Superclass::ParametersType itk::Similarity2DTransform< TScalarType >::ParametersType |
Parameters type.
Definition at line 91 of file itkSimilarity2DTransform.h.
typedef Superclass::ParametersValueType itk::Similarity2DTransform< TScalarType >::ParametersValueType |
Definition at line 92 of file itkSimilarity2DTransform.h.
typedef SmartPointer<Self> itk::Similarity2DTransform< TScalarType >::Pointer |
Definition at line 70 of file itkSimilarity2DTransform.h.
typedef Superclass::ScalarType itk::Similarity2DTransform< TScalarType >::ScalarType |
Scalar type.
Definition at line 87 of file itkSimilarity2DTransform.h.
typedef TScalarType itk::Similarity2DTransform< TScalarType >::ScaleType |
Definition at line 88 of file itkSimilarity2DTransform.h.
typedef Similarity2DTransform itk::Similarity2DTransform< TScalarType >::Self |
Standard class typedefs.
Definition at line 68 of file itkSimilarity2DTransform.h.
typedef Rigid2DTransform<TScalarType> itk::Similarity2DTransform< TScalarType >::Superclass |
Definition at line 69 of file itkSimilarity2DTransform.h.
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Definition at line 199 of file itkSimilarity2DTransform.h.
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void itk::Similarity2DTransform< TScalarType >::CloneInverseTo | ( | Pointer & | newinverse | ) | const |
This method creates and returns a new Similarity2DTransform object which is the inverse of self.
void itk::Similarity2DTransform< TScalarType >::CloneTo | ( | Pointer & | clone | ) | const |
This method creates and returns a new Similarity2DTransform object which has the same parameters.
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This method computes the Jacobian matrix of the transformation at a given input point.
Reimplemented from itk::Rigid2DTransform< TScalarType >.
Reimplemented in itk::CenteredSimilarity2DTransform< TScalarType >.
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Compute matrix from angle and scale. This is used in Set methods to update the underlying matrix whenever a transform parameter is changed.
Reimplemented from itk::Rigid2DTransform< TScalarType >.
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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().
Reimplemented from itk::Rigid2DTransform< TScalarType >.
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Create an object from an instance, potentially deferring to a factory. This method allows you to create an instance of an object that is exactly the same type as the referring object. This is useful in cases where an object has been cast back to a base class.
Reimplemented from itk::Rigid2DTransform< TScalarType >.
bool itk::Similarity2DTransform< TScalarType >::GetInverse | ( | Self * | inverse | ) | const |
Get an inverse of this transform.
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Return an inverse of this transform.
Reimplemented from itk::Rigid2DTransform< TScalarType >.
Reimplemented in itk::CenteredSimilarity2DTransform< TScalarType >.
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Run-time type information (and related methods).
Reimplemented from itk::Rigid2DTransform< TScalarType >.
Reimplemented in itk::CenteredSimilarity2DTransform< TScalarType >.
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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.
Reimplemented from itk::Rigid2DTransform< TScalarType >.
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New macro for creation of through a Smart Pointer.
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Print contents of an Rigid2DTransform
Reimplemented from itk::Rigid2DTransform< TScalarType >.
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Set the transformation to an identity.
Reimplemented from itk::Rigid2DTransform< TScalarType >.
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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.
Reimplemented from itk::Rigid2DTransform< TScalarType >.
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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.
Reimplemented from itk::Rigid2DTransform< TScalarType >.
void itk::Similarity2DTransform< TScalarType >::SetScale | ( | ScaleType | scale | ) |
Set the Scale part of the transform.
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Set the scale without updating underlying variables.
Definition at line 216 of file itkSimilarity2DTransform.h.
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Dimension of parameters.
Definition at line 81 of file itkSimilarity2DTransform.h.
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Definition at line 225 of file itkSimilarity2DTransform.h.
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Dimension of parameters.
Definition at line 82 of file itkSimilarity2DTransform.h.
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Dimension of parameters.
Definition at line 83 of file itkSimilarity2DTransform.h.
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Dimension of parameters.
Definition at line 80 of file itkSimilarity2DTransform.h.