#include <IntrinsicLeastAreaDistortionSurfaceMapper.h>

Inheritance diagram for mirtk::IntrinsicLeastAreaDistortionSurfaceMapper:

Collaboration diagram for mirtk::IntrinsicLeastAreaDistortionSurfaceMapper:

Public Member Functions
	IntrinsicLeastAreaDistortionSurfaceMapper ()
	Default constructor.

	IntrinsicLeastAreaDistortionSurfaceMapper (const IntrinsicLeastAreaDistortionSurfaceMapper &)
	Copy constructor.

IntrinsicLeastAreaDistortionSurfaceMapper &	operator= (const IntrinsicLeastAreaDistortionSurfaceMapper &)
	Assignment operator.

virtual	~IntrinsicLeastAreaDistortionSurfaceMapper ()
	Destructor.

Public Member Functions inherited from mirtk::NearOptimalIntrinsicSurfaceMapper
virtual void	ComputeMap ()
	Compute map values at interior points.

virtual	~NearOptimalIntrinsicSurfaceMapper ()
	Destructor.

Public Member Functions inherited from mirtk::IntrinsicSurfaceMapper
	IntrinsicSurfaceMapper (double lambda=.5)

	IntrinsicSurfaceMapper (const IntrinsicSurfaceMapper &)
	Copy constructor.

IntrinsicSurfaceMapper &	operator= (const IntrinsicSurfaceMapper &)
	Assignment operator.

virtual	~IntrinsicSurfaceMapper ()
	Destructor.

Public Member Functions inherited from mirtk::NonSymmetricWeightsSurfaceMapper
	NonSymmetricWeightsSurfaceMapper ()
	Default constructor.

	NonSymmetricWeightsSurfaceMapper (const NonSymmetricWeightsSurfaceMapper &)
	Copy constructor.

NonSymmetricWeightsSurfaceMapper &	operator= (const NonSymmetricWeightsSurfaceMapper &)
	Assignment operator.

virtual	~NonSymmetricWeightsSurfaceMapper ()
	Destructor.

Public Member Functions inherited from mirtk::LinearFixedBoundarySurfaceMapper
virtual void	Finalize ()
	Assemble output surface map.

int	FixedPointId (int i) const

int	FixedPointIndex (int i) const

int	FreePointId (int i) const

int	FreePointIndex (int i) const

double	GetFixedValue (int i, int j=0) const

double	GetFreeValue (int i, int j=0) const

double	GetValue (int i, int j=0) const

virtual void	Initialize ()
	Initialize filter after input and parameters are set.

bool	IsFixedPoint (int i) const
	Whether the map value of the specified surface point is fixed.

bool	IsFreePoint (int i) const
	Whether the map value of the specified surface point is free.

int	NumberOfFixedPoints () const
	Number of surface points with fixed map value.

int	NumberOfFreePoints () const
	Number of surface points with free map value.

virtual	~LinearFixedBoundarySurfaceMapper ()
	Destructor.

Public Member Functions inherited from mirtk::FixedBoundarySurfaceMapper
virtual	~FixedBoundarySurfaceMapper ()
	Destructor.

Public Member Functions inherited from mirtk::SurfaceMapper
void	Run ()
	Compute surface map.

virtual	~SurfaceMapper ()
	Destructor.

Public Member Functions inherited from mirtk::Object
virtual const char *	NameOfClass () const =0
	Get name of class, which this object is an instance of.

virtual ParameterList	Parameter () const
	Get parameter name/value pairs.

bool	Parameter (const ParameterList &)
	Set parameters from name/value pairs.

virtual bool	Set (const char name, const char value)

virtual	~Object ()
	Destructor.

Protected Member Functions
virtual double	ComputeLambda (vtkDataArray u0, vtkDataArray u1) const

Protected Member Functions inherited from mirtk::NearOptimalIntrinsicSurfaceMapper
	NearOptimalIntrinsicSurfaceMapper ()
	Default constructor.

	NearOptimalIntrinsicSurfaceMapper (const NearOptimalIntrinsicSurfaceMapper &)
	Copy constructor.

NearOptimalIntrinsicSurfaceMapper &	operator= (const NearOptimalIntrinsicSurfaceMapper &)
	Assignment operator.

double	Scale (vtkPolyData *) const
	Determine scale of surface mesh.

double	Scale (vtkDataArray , vtkDataArray =nullptr) const
	Determine scale of intrinsic parameterization.

Protected Member Functions inherited from mirtk::IntrinsicSurfaceMapper
virtual double	Weight (int i, int j) const

Protected Member Functions inherited from mirtk::NonSymmetricWeightsSurfaceMapper
virtual void	Weights (int i, const int j, double w, int d) const

Protected Member Functions inherited from mirtk::LinearFixedBoundarySurfaceMapper
	LinearFixedBoundarySurfaceMapper ()
	Default constructor.

	LinearFixedBoundarySurfaceMapper (const LinearFixedBoundarySurfaceMapper &)
	Copy constructor.

LinearFixedBoundarySurfaceMapper &	operator= (const LinearFixedBoundarySurfaceMapper &)
	Assignment operator.

void	SetFreeValue (int i, double v)

void	SetFreeValue (int i, int j, double v)

void	SetValue (int i, double v)

void	SetValue (int i, int j, double v)

Protected Member Functions inherited from mirtk::FixedBoundarySurfaceMapper
	FixedBoundarySurfaceMapper ()
	Default constructor.

	FixedBoundarySurfaceMapper (const FixedBoundarySurfaceMapper &)
	Copy constructor.

int	NumberOfComponents () const
	Number of boundary/surface map components.

FixedBoundarySurfaceMapper &	operator= (const FixedBoundarySurfaceMapper &)
	Assignment operator.

Protected Member Functions inherited from mirtk::SurfaceMapper
int	GetEdgeNeighborPoints (int i, int j, int &k, int &l) const

void	GetPoint (int ptId, double p[3]) const

int	NumberOfInteriorPoints () const
	Number of surface points minus the number of boundary points.

int	NumberOfPoints () const
	Number of surface points.

SurfaceMapper &	operator= (const SurfaceMapper &)
	Assignment operator.

class Point	Point (int ptId) const

	SurfaceMapper ()
	Default constructor.

	SurfaceMapper (const SurfaceMapper &)
	Copy constructor.

Protected Member Functions inherited from mirtk::Object
template<typename... Args>
void	Throw (ErrorType err, const char *func, Args... args) const

Additional Inherited Members
Static Public Member Functions inherited from mirtk::Object
static const char *	NameOfType ()
	Get name of this class type.

Static Protected Member Functions inherited from mirtk::Object
template<typename... Args>
static void	ThrowStatic (ErrorType err, const char cls, const char func, Args... args)

Detailed Description

Compute a near-optimal intrinsic surface map which minimizes area distortion

Desbrun, Meyer, and Alliez (2002). Intrinsic parameterizations of surface meshes. Computer Graphics Forum, 21(3), 209–218.

Definition at line 35 of file IntrinsicLeastAreaDistortionSurfaceMapper.h.

Member Function Documentation

§ ComputeLambda()

virtual double mirtk::IntrinsicLeastAreaDistortionSurfaceMapper::ComputeLambda	(	vtkDataArray *	u0,
		vtkDataArray *	u1
	)		const

protectedvirtual

Compute affine combination weight that minimizes a given distortion measure

Parameters

[in]	u0	Discrete authalic surface map values, i.e., lambda=0.
[in]	u1	Discrete conformal surface map values, i.e., lambda=1.

Returns: Affine combination weight \(\lambda\), where final surface map values are computed as \(\lambda u1 + (1 - \lambda) * u0\).

Implements mirtk::NearOptimalIntrinsicSurfaceMapper.

The documentation for this class was generated from the following file:

IntrinsicLeastAreaDistortionSurfaceMapper.h

Public Member Functions

Protected Member Functions

Additional Inherited Members

Detailed Description

Member Function Documentation

§ ComputeLambda()