#include <HarmonicSurfaceMapper.h>

Inheritance diagram for mirtk::HarmonicSurfaceMapper:

Collaboration diagram for mirtk::HarmonicSurfaceMapper:

Public Member Functions
	HarmonicSurfaceMapper ()
	Default constructor.

	HarmonicSurfaceMapper (const HarmonicSurfaceMapper &)
	Copy constructor.

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

virtual	~HarmonicSurfaceMapper ()
	Destructor.

Public Member Functions inherited from mirtk::SymmetricWeightsSurfaceMapper
virtual void	ComputeMap ()
	Construct and solve symmetric system of linear equations.

virtual	~SymmetricWeightsSurfaceMapper ()
	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	Weight (int i, int j) const

Protected Member Functions inherited from mirtk::SymmetricWeightsSurfaceMapper
SymmetricWeightsSurfaceMapper &	operator= (const SymmetricWeightsSurfaceMapper &)
	Assignment operator.

	SymmetricWeightsSurfaceMapper ()
	Default constructor.

	SymmetricWeightsSurfaceMapper (const SymmetricWeightsSurfaceMapper &)
	Copy constructor.

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

Computes piecewise linear harmonic surface map with fixed boundary

The harmonic surface map minimizes the discrete Dirichlet energy. It is the solution of the discrete Laplace equation. Moreover, because the boundary points are fixed and therefore the area of the parameteric domain is constant, this minimum is also a critical point of the conformal energy (Mullen et al., 2008). But because of these Dirichlet boundary conditions, the resulting map can only be as conformal as possible in a least squares sense. For a free boundary surface map which minimizes the conformal energy, see the NaturalConformalSurfaceMapper.

The surface map is the solution of a sparse linear system of equations, where the coefficients are the well-known cotangent weights of the discretized Laplace-Beltrami operator.

Pinkall and Polthier (1993). Computing Discrete Minimal Surfaces and Their Conjugates. Experiment. Math., 2(1), 15–36.
Eck et al. (1995). Multiresolution analysis of arbitrary meshes. SIGGRAPH.
Meyer et al. (2002). Generalized Barycentric Coordinates on Irregular Polygons. Journal of Graphics Tools, 7(1), 13–22.
Desbrun, Meyer, and Alliez (2002). Intrinsic parameterizations of surface meshes. Computer Graphics Forum, 21(3), 209–218.
Mullen et al. (2008). Spectral conformal parameterization. Eurographics Symposium on Geometry Processing, 27(5), 1487–1494.

Definition at line 54 of file HarmonicSurfaceMapper.h.

Member Function Documentation

§ Weight()

virtual double mirtk::HarmonicSurfaceMapper::Weight	(	int	i,
		int	j
	)		const

protectedvirtual

Weight of undirected edge (i, j)

Parameters

[in]	i	First end point.
[in]	j	Second end point.

Returns: Weight of undirected edge (i, j).

Implements mirtk::SymmetricWeightsSurfaceMapper.

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

HarmonicSurfaceMapper.h

Public Member Functions

Protected Member Functions

Additional Inherited Members

Detailed Description

Member Function Documentation

§ Weight()