This is an implementation of a Clough-Tocher interpolator based on a triangular tessellation. More...

#include <CloughTocherInterpolator.h>

Inheritance diagram for CloughTocherInterpolator:

Public Member Functions
	CloughTocherInterpolator ()
	standard constructor
	CloughTocherInterpolator (NormVecDecorator *tin)
	constructor with a pointer to the triangulation as argument
virtual	~CloughTocherInterpolator ()
	destructor
virtual bool	calcNormVec (double x, double y, Vector3D *result)
	Calculates the normal vector and assigns it to vec (not implemented at the moment)
virtual bool	calcPoint (double x, double y, Point3D *result)
	Performs a linear interpolation in a triangle and assigns the x-,y- and z-coordinates to point.
virtual void	setTriangulation (NormVecDecorator *tin)
Public Member Functions inherited from TriangleInterpolator
virtual	~TriangleInterpolator ()

Protected Member Functions
void	init (double x, double y)
	Finds out, in which triangle the point with the coordinates x and y is.
double	calcBernsteinPoly (int n, int i, int j, int k, double u, double v, double w)
	Calculates the Bernsteinpolynomials to calculate the Beziertriangle.

Protected Attributes
NormVecDecorator *	mTIN
	association with a triangulation object
double	mEdgeTolerance
	Tolerance of the barycentric coordinates at the borders of the triangles (to prevent errors because of very small negativ baricentric coordinates)
Point3D	point1
	first point of the triangle in x-,y-,z-coordinates
Point3D	point2
	second point of the triangle in x-,y-,z-coordinates
Point3D	point3
	third point of the triangle in x-,y-,z-coordinates
Point3D	cp1
Point3D	cp2
Point3D	cp3
Point3D	cp4
Point3D	cp5
Point3D	cp6
Point3D	cp7
Point3D	cp8
Point3D	cp9
Point3D	cp10
Point3D	cp11
Point3D	cp12
Point3D	cp13
Point3D	cp14
Point3D	cp15
Point3D	cp16
double	der1X
	derivative in x-direction at point1
double	der1Y
	derivative in y-direction at point1
double	der2X
	derivative in x-direction at point2
double	der2Y
	derivative in y-direction at point2
double	der3X
	derivative in x-direction at point3
double	der3Y
	derivative in y-direction at point3
Point3D	lpoint1
	stores point1 of the last run
Point3D	lpoint2
	stores point2 of the last run
Point3D	lpoint3
	stores point3 of the last run

Detailed Description

This is an implementation of a Clough-Tocher interpolator based on a triangular tessellation.

The derivatives orthogonal to the boundary curves are interpolated linearly along a triangle edge.

Constructor & Destructor Documentation

CloughTocherInterpolator::CloughTocherInterpolator ( )

inline

standard constructor

CloughTocherInterpolator::CloughTocherInterpolator ( NormVecDecorator * tin )

inline

constructor with a pointer to the triangulation as argument

CloughTocherInterpolator::~CloughTocherInterpolator ( )

inlinevirtual

destructor

Member Function Documentation

double CloughTocherInterpolator::calcBernsteinPoly	(	int	n,
		int	i,
		int	j,
		int	k,
		double	u,
		double	v,
		double	w
	)

protected

Calculates the Bernsteinpolynomials to calculate the Beziertriangle.

'n' is three in the cubical case, 'i', 'j', 'k' are the indices of the controllpoint and 'u', 'v', 'w' are the barycentric coordinates of the point

virtual bool CloughTocherInterpolator::calcNormVec	(	double	x,
		double	y,
		Vector3D *	result
	)

virtual

Calculates the normal vector and assigns it to vec (not implemented at the moment)

Implements TriangleInterpolator.

virtual bool CloughTocherInterpolator::calcPoint	(	double	x,
		double	y,
		Point3D *	result
	)

virtual

Performs a linear interpolation in a triangle and assigns the x-,y- and z-coordinates to point.

Implements TriangleInterpolator.

void CloughTocherInterpolator::init	(	double	x,
		double	y
	)

protected

Finds out, in which triangle the point with the coordinates x and y is.

void CloughTocherInterpolator::setTriangulation ( NormVecDecorator * tin )

inlinevirtual

Member Data Documentation

Point3D CloughTocherInterpolator::cp1

protected

Point3D CloughTocherInterpolator::cp10

protected

Point3D CloughTocherInterpolator::cp11

protected

Point3D CloughTocherInterpolator::cp12

protected

Point3D CloughTocherInterpolator::cp13

protected

Point3D CloughTocherInterpolator::cp14

protected

Point3D CloughTocherInterpolator::cp15

protected

Point3D CloughTocherInterpolator::cp16

protected

Point3D CloughTocherInterpolator::cp2

protected

Point3D CloughTocherInterpolator::cp3

protected

Point3D CloughTocherInterpolator::cp4

protected

Point3D CloughTocherInterpolator::cp5

protected

Point3D CloughTocherInterpolator::cp6

protected

Point3D CloughTocherInterpolator::cp7

protected

Point3D CloughTocherInterpolator::cp8

protected

Point3D CloughTocherInterpolator::cp9

protected

double CloughTocherInterpolator::der1X

protected

derivative in x-direction at point1

double CloughTocherInterpolator::der1Y

protected

derivative in y-direction at point1

double CloughTocherInterpolator::der2X

protected

derivative in x-direction at point2

double CloughTocherInterpolator::der2Y

protected

derivative in y-direction at point2

double CloughTocherInterpolator::der3X

protected

derivative in x-direction at point3

double CloughTocherInterpolator::der3Y

protected

derivative in y-direction at point3

Point3D CloughTocherInterpolator::lpoint1

protected

stores point1 of the last run

Point3D CloughTocherInterpolator::lpoint2

protected

stores point2 of the last run

Point3D CloughTocherInterpolator::lpoint3

protected

stores point3 of the last run

double CloughTocherInterpolator::mEdgeTolerance

protected

Tolerance of the barycentric coordinates at the borders of the triangles (to prevent errors because of very small negativ baricentric coordinates)

NormVecDecorator* CloughTocherInterpolator::mTIN

protected

association with a triangulation object

Point3D CloughTocherInterpolator::point1

protected

first point of the triangle in x-,y-,z-coordinates

Point3D CloughTocherInterpolator::point2

protected

second point of the triangle in x-,y-,z-coordinates

Point3D CloughTocherInterpolator::point3

protected

third point of the triangle in x-,y-,z-coordinates

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

/tmp/buildd/qgis-2.6.0+wheezy1/src/analysis/interpolation/CloughTocherInterpolator.h

Public Member Functions

Protected Member Functions

Protected Attributes

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation