CloughTocherInterpolator Class Reference

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) override
	Calculates the normal vector and assigns it to vec (not implemented at the moment)
virtual bool	calcPoint (double x, double y, Point3D *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 ()

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

Protected Attributes
Point3D	cp1
Point3D	cp10
Point3D	cp11
Point3D	cp12
Point3D	cp13
Point3D	cp14
Point3D	cp15
Point3D	cp16
Point3D	cp2
Point3D	cp3
Point3D	cp4
Point3D	cp5
Point3D	cp6
Point3D	cp7
Point3D	cp8
Point3D	cp9
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
double	mEdgeTolerance
	Tolerance of the barycentric coordinates at the borders of the triangles (to prevent errors because of very small negativ baricentric coordinates)
NormVecDecorator *	mTIN
	association with a triangulation object
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

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.

Definition at line 28 of file CloughTocherInterpolator.h.

Constructor & Destructor Documentation

CloughTocherInterpolator::CloughTocherInterpolator

(

)

standard constructor

CloughTocherInterpolator::CloughTocherInterpolator

(

NormVecDecorator *

tin

)

constructor with a pointer to the triangulation as argument

virtual CloughTocherInterpolator::~CloughTocherInterpolator ( )

virtual

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  )

overridevirtual

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  )

overridevirtual

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.

virtual void CloughTocherInterpolator::setTriangulation ( NormVecDecorator *  tin )

virtual

Member Data Documentation

Point3D CloughTocherInterpolator::cp1

protected

Definition at line 41 of file CloughTocherInterpolator.h.

Point3D CloughTocherInterpolator::cp10

protected

Definition at line 50 of file CloughTocherInterpolator.h.

Point3D CloughTocherInterpolator::cp11

protected

Definition at line 51 of file CloughTocherInterpolator.h.

Point3D CloughTocherInterpolator::cp12

protected

Definition at line 52 of file CloughTocherInterpolator.h.

Point3D CloughTocherInterpolator::cp13

protected

Definition at line 53 of file CloughTocherInterpolator.h.

Point3D CloughTocherInterpolator::cp14

protected

Definition at line 54 of file CloughTocherInterpolator.h.

Point3D CloughTocherInterpolator::cp15

protected

Definition at line 55 of file CloughTocherInterpolator.h.

Point3D CloughTocherInterpolator::cp16

protected

Definition at line 56 of file CloughTocherInterpolator.h.

Point3D CloughTocherInterpolator::cp2

protected

Definition at line 42 of file CloughTocherInterpolator.h.

Point3D CloughTocherInterpolator::cp3

protected

Definition at line 43 of file CloughTocherInterpolator.h.

Point3D CloughTocherInterpolator::cp4

protected

Definition at line 44 of file CloughTocherInterpolator.h.

Point3D CloughTocherInterpolator::cp5

protected

Definition at line 45 of file CloughTocherInterpolator.h.

Point3D CloughTocherInterpolator::cp6

protected

Definition at line 46 of file CloughTocherInterpolator.h.

Point3D CloughTocherInterpolator::cp7

protected

Definition at line 47 of file CloughTocherInterpolator.h.

Point3D CloughTocherInterpolator::cp8

protected

Definition at line 48 of file CloughTocherInterpolator.h.

Point3D CloughTocherInterpolator::cp9

protected

Definition at line 49 of file CloughTocherInterpolator.h.

double CloughTocherInterpolator::der1X

protected

derivative in x-direction at point1

Definition at line 58 of file CloughTocherInterpolator.h.

double CloughTocherInterpolator::der1Y

protected

derivative in y-direction at point1

Definition at line 60 of file CloughTocherInterpolator.h.

double CloughTocherInterpolator::der2X

protected

derivative in x-direction at point2

Definition at line 62 of file CloughTocherInterpolator.h.

double CloughTocherInterpolator::der2Y

protected

derivative in y-direction at point2

Definition at line 64 of file CloughTocherInterpolator.h.

double CloughTocherInterpolator::der3X

protected

derivative in x-direction at point3

Definition at line 66 of file CloughTocherInterpolator.h.

double CloughTocherInterpolator::der3Y

protected

derivative in y-direction at point3

Definition at line 68 of file CloughTocherInterpolator.h.

Point3D CloughTocherInterpolator::lpoint1

protected

stores point1 of the last run

Definition at line 70 of file CloughTocherInterpolator.h.

Point3D CloughTocherInterpolator::lpoint2

protected

stores point2 of the last run

Definition at line 72 of file CloughTocherInterpolator.h.

Point3D CloughTocherInterpolator::lpoint3

protected

stores point3 of the last run

Definition at line 74 of file CloughTocherInterpolator.h.

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)

Definition at line 34 of file CloughTocherInterpolator.h.

NormVecDecorator* CloughTocherInterpolator::mTIN

protected

association with a triangulation object

Definition at line 32 of file CloughTocherInterpolator.h.

Point3D CloughTocherInterpolator::point1

protected

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

Definition at line 36 of file CloughTocherInterpolator.h.

Point3D CloughTocherInterpolator::point2

protected

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

Definition at line 38 of file CloughTocherInterpolator.h.

Point3D CloughTocherInterpolator::point3

protected

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

Definition at line 40 of file CloughTocherInterpolator.h.

---

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

• /tmp/buildd/qgis-2.8.2+12wheezy/src/analysis/interpolation/CloughTocherInterpolator.h