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 ()=default

	CloughTocherInterpolator (NormVecDecorator *tin)
	Constructor with a pointer to the triangulation as argument.

bool	calcNormVec (double x, double y, QgsPoint &result) override
	Calculates the normal vector and assigns it to vec (not implemented at the moment)

bool	calcPoint (double x, double y, QgsPoint &result) override
	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 ()=default

Protected Member Functions
double	calcBernsteinPoly (int n, int i, int j, int k, double u, double v, double w)
	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.

void	init (double x, double y)
	Finds out, in which triangle the point with the coordinates x and y is.

Protected Attributes
QgsPoint	cp1 = QgsPoint( 0, 0, 0 )
	Control point 1.

QgsPoint	cp10 = QgsPoint( 0, 0, 0 )
	Control point 10.

QgsPoint	cp11 = QgsPoint( 0, 0, 0 )
	Control point 11.

QgsPoint	cp12 = QgsPoint( 0, 0, 0 )
	Control point 12.

QgsPoint	cp13 = QgsPoint( 0, 0, 0 )
	Control point 13.

QgsPoint	cp14 = QgsPoint( 0, 0, 0 )
	Control point 14.

QgsPoint	cp15 = QgsPoint( 0, 0, 0 )
	Control point 15.

QgsPoint	cp16 = QgsPoint( 0, 0, 0 )
	Control point 16.

QgsPoint	cp2 = QgsPoint( 0, 0, 0 )
	Control point 2.

QgsPoint	cp3 = QgsPoint( 0, 0, 0 )
	Control point 3.

QgsPoint	cp4 = QgsPoint( 0, 0, 0 )
	Control point 4.

QgsPoint	cp5 = QgsPoint( 0, 0, 0 )
	Control point 5.

QgsPoint	cp6 = QgsPoint( 0, 0, 0 )
	Control point 6.

QgsPoint	cp7 = QgsPoint( 0, 0, 0 )
	Control point 7.

QgsPoint	cp8 = QgsPoint( 0, 0, 0 )
	Control point 8.

QgsPoint	cp9 = QgsPoint( 0, 0, 0 )
	Control point 9.

double	der1X = 0.0
	Derivative in x-direction at point1.

double	der1Y = 0.0
	Derivative in y-direction at point1.

double	der2X = 0.0
	Derivative in x-direction at point2.

double	der2Y = 0.0
	Derivative in y-direction at point2.

double	der3X = 0.0
	Derivative in x-direction at point3.

double	der3Y = 0.0
	Derivative in y-direction at point3.

QgsPoint	lpoint1 = QgsPoint( 0, 0, 0 )
	Stores point1 of the last run.

QgsPoint	lpoint2 = QgsPoint( 0, 0, 0 )
	Stores point2 of the last run.

QgsPoint	lpoint3 = QgsPoint( 0, 0, 0 )
	Stores point3 of the last run.

double	mEdgeTolerance = 0.00001
	Tolerance of the barycentric coordinates at the borders of the triangles (to prevent errors because of very small negative baricentric coordinates)

NormVecDecorator *	mTIN = nullptr
	Association with a triangulation object.

QgsPoint	point1 = QgsPoint( 0, 0, 0 )
	First point of the triangle in x-,y-,z-coordinates.

QgsPoint	point2 = QgsPoint( 0, 0, 0 )
	Second point of the triangle in x-,y-,z-coordinates.

QgsPoint	point3 = QgsPoint( 0, 0, 0 )
	Third point of the triangle in x-,y-,z-coordinates.

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.

Note: Not available in Python bindings

Definition at line 35 of file CloughTocherInterpolator.h.

Constructor & Destructor Documentation

◆ CloughTocherInterpolator() [1/2]

CloughTocherInterpolator::CloughTocherInterpolator ( )

default

◆ CloughTocherInterpolator() [2/2]

CloughTocherInterpolator::CloughTocherInterpolator ( NormVecDecorator * tin )

Constructor with a pointer to the triangulation as argument.

Definition at line 22 of file CloughTocherInterpolator.cpp.

Member Function Documentation

◆ calcBernsteinPoly()

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.

Definition at line 33 of file CloughTocherInterpolator.cpp.

◆ calcNormVec()

bool CloughTocherInterpolator::calcNormVec	(	double	x,
		double	y,
		QgsPoint &	result
	)

overridevirtual

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

Implements TriangleInterpolator.

Definition at line 56 of file CloughTocherInterpolator.cpp.

◆ calcPoint()

bool CloughTocherInterpolator::calcPoint	(	double	x,
		double	y,
		QgsPoint &	result
	)

overridevirtual

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

Implements TriangleInterpolator.

Definition at line 162 of file CloughTocherInterpolator.cpp.

◆ init()

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

protected

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

Definition at line 230 of file CloughTocherInterpolator.cpp.

◆ setTriangulation()

void CloughTocherInterpolator::setTriangulation ( NormVecDecorator * tin )

virtual

Definition at line 28 of file CloughTocherInterpolator.cpp.

Member Data Documentation

◆ cp1

QgsPoint CloughTocherInterpolator::cp1 = QgsPoint( 0, 0, 0 )

protected

Control point 1.

Definition at line 49 of file CloughTocherInterpolator.h.

◆ cp10

QgsPoint CloughTocherInterpolator::cp10 = QgsPoint( 0, 0, 0 )

protected

Control point 10.

Definition at line 67 of file CloughTocherInterpolator.h.

◆ cp11

QgsPoint CloughTocherInterpolator::cp11 = QgsPoint( 0, 0, 0 )

protected

Control point 11.

Definition at line 69 of file CloughTocherInterpolator.h.

◆ cp12

QgsPoint CloughTocherInterpolator::cp12 = QgsPoint( 0, 0, 0 )

protected

Control point 12.

Definition at line 71 of file CloughTocherInterpolator.h.

◆ cp13

QgsPoint CloughTocherInterpolator::cp13 = QgsPoint( 0, 0, 0 )

protected

Control point 13.

Definition at line 73 of file CloughTocherInterpolator.h.

◆ cp14

QgsPoint CloughTocherInterpolator::cp14 = QgsPoint( 0, 0, 0 )

protected

Control point 14.

Definition at line 75 of file CloughTocherInterpolator.h.

◆ cp15

QgsPoint CloughTocherInterpolator::cp15 = QgsPoint( 0, 0, 0 )

protected

Control point 15.

Definition at line 77 of file CloughTocherInterpolator.h.

◆ cp16

QgsPoint CloughTocherInterpolator::cp16 = QgsPoint( 0, 0, 0 )

protected

Control point 16.

Definition at line 79 of file CloughTocherInterpolator.h.

◆ cp2

QgsPoint CloughTocherInterpolator::cp2 = QgsPoint( 0, 0, 0 )

protected

Control point 2.

Definition at line 51 of file CloughTocherInterpolator.h.

◆ cp3

QgsPoint CloughTocherInterpolator::cp3 = QgsPoint( 0, 0, 0 )

protected

Control point 3.

Definition at line 53 of file CloughTocherInterpolator.h.

◆ cp4

QgsPoint CloughTocherInterpolator::cp4 = QgsPoint( 0, 0, 0 )

protected

Control point 4.

Definition at line 55 of file CloughTocherInterpolator.h.

◆ cp5

QgsPoint CloughTocherInterpolator::cp5 = QgsPoint( 0, 0, 0 )

protected

Control point 5.

Definition at line 57 of file CloughTocherInterpolator.h.

◆ cp6

QgsPoint CloughTocherInterpolator::cp6 = QgsPoint( 0, 0, 0 )

protected

Control point 6.

Definition at line 59 of file CloughTocherInterpolator.h.

◆ cp7

QgsPoint CloughTocherInterpolator::cp7 = QgsPoint( 0, 0, 0 )

protected

Control point 7.

Definition at line 61 of file CloughTocherInterpolator.h.

◆ cp8

QgsPoint CloughTocherInterpolator::cp8 = QgsPoint( 0, 0, 0 )

protected

Control point 8.

Definition at line 63 of file CloughTocherInterpolator.h.

◆ cp9

QgsPoint CloughTocherInterpolator::cp9 = QgsPoint( 0, 0, 0 )

protected

Control point 9.

Definition at line 65 of file CloughTocherInterpolator.h.

◆ der1X

double CloughTocherInterpolator::der1X = 0.0

protected

Derivative in x-direction at point1.

Definition at line 81 of file CloughTocherInterpolator.h.

◆ der1Y

double CloughTocherInterpolator::der1Y = 0.0

protected

Derivative in y-direction at point1.

Definition at line 83 of file CloughTocherInterpolator.h.

◆ der2X

double CloughTocherInterpolator::der2X = 0.0

protected

Derivative in x-direction at point2.

Definition at line 85 of file CloughTocherInterpolator.h.

◆ der2Y

double CloughTocherInterpolator::der2Y = 0.0

protected

Derivative in y-direction at point2.

Definition at line 87 of file CloughTocherInterpolator.h.

◆ der3X

double CloughTocherInterpolator::der3X = 0.0

protected

Derivative in x-direction at point3.

Definition at line 89 of file CloughTocherInterpolator.h.

◆ der3Y

double CloughTocherInterpolator::der3Y = 0.0

protected

Derivative in y-direction at point3.

Definition at line 91 of file CloughTocherInterpolator.h.

◆ lpoint1

QgsPoint CloughTocherInterpolator::lpoint1 = QgsPoint( 0, 0, 0 )

protected

Stores point1 of the last run.

Definition at line 93 of file CloughTocherInterpolator.h.

◆ lpoint2

QgsPoint CloughTocherInterpolator::lpoint2 = QgsPoint( 0, 0, 0 )

protected

Stores point2 of the last run.

Definition at line 95 of file CloughTocherInterpolator.h.

◆ lpoint3

QgsPoint CloughTocherInterpolator::lpoint3 = QgsPoint( 0, 0, 0 )

protected

Stores point3 of the last run.

Definition at line 97 of file CloughTocherInterpolator.h.

◆ mEdgeTolerance

double CloughTocherInterpolator::mEdgeTolerance = 0.00001

protected

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

Definition at line 41 of file CloughTocherInterpolator.h.

◆ mTIN

NormVecDecorator* CloughTocherInterpolator::mTIN = nullptr

protected

Association with a triangulation object.

Definition at line 39 of file CloughTocherInterpolator.h.

◆ point1

QgsPoint CloughTocherInterpolator::point1 = QgsPoint( 0, 0, 0 )

protected

First point of the triangle in x-,y-,z-coordinates.

Definition at line 43 of file CloughTocherInterpolator.h.

◆ point2

QgsPoint CloughTocherInterpolator::point2 = QgsPoint( 0, 0, 0 )

protected

Second point of the triangle in x-,y-,z-coordinates.

Definition at line 45 of file CloughTocherInterpolator.h.

◆ point3

QgsPoint CloughTocherInterpolator::point3 = QgsPoint( 0, 0, 0 )

protected

Third point of the triangle in x-,y-,z-coordinates.

Definition at line 47 of file CloughTocherInterpolator.h.

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

/build/qgis-3.41.0+git20241122+3440c17df1d+99sid/src/analysis/interpolation/CloughTocherInterpolator.h
/build/qgis-3.41.0+git20241122+3440c17df1d+99sid/src/analysis/interpolation/CloughTocherInterpolator.cpp

Public Member Functions

Protected Member Functions

Protected Attributes

Detailed Description

Constructor & Destructor Documentation

◆ CloughTocherInterpolator() [1/2]

◆ CloughTocherInterpolator() [2/2]

Member Function Documentation

◆ calcBernsteinPoly()

◆ calcNormVec()

◆ calcPoint()

◆ init()

◆ setTriangulation()

Member Data Documentation

◆ cp1

◆ cp10

◆ cp11

◆ cp12

◆ cp13

◆ cp14

◆ cp15

◆ cp16

◆ cp2

◆ cp3

◆ cp4

◆ cp5

◆ cp6

◆ cp7

◆ cp8

◆ cp9

◆ der1X

◆ der1Y

◆ der2X

◆ der2Y

◆ der3X

◆ der3Y

◆ lpoint1

◆ lpoint2

◆ lpoint3

◆ mEdgeTolerance

◆ mTIN

◆ point1

◆ point2

◆ point3