QGIS API Documentation  2.18.21-Las Palmas (9fba24a)
Public Member Functions | Protected Member Functions | Protected Attributes | List of all members
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:
Inheritance graph
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Public Member Functions

 CloughTocherInterpolator ()
 Standard constructor. More...
 
 CloughTocherInterpolator (NormVecDecorator *tin)
 Constructor with a pointer to the triangulation as argument. More...
 
virtual ~CloughTocherInterpolator ()
 Destructor. More...
 
virtual bool calcNormVec (double x, double y, Vector3D *result) override
 Calculates the normal vector and assigns it to vec (not implemented at the moment) More...
 
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. More...
 
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. More...
 
void init (double x, double y)
 Finds out, in which triangle the point with the coordinates x and y is. More...
 

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. More...
 
double der1Y
 Derivative in y-direction at point1. More...
 
double der2X
 Derivative in x-direction at point2. More...
 
double der2Y
 Derivative in y-direction at point2. More...
 
double der3X
 Derivative in x-direction at point3. More...
 
double der3Y
 Derivative in y-direction at point3. More...
 
Point3D lpoint1
 Stores point1 of the last run. More...
 
Point3D lpoint2
 Stores point2 of the last run. More...
 
Point3D lpoint3
 Stores point3 of the last run. More...
 
double mEdgeTolerance
 Tolerance of the barycentric coordinates at the borders of the triangles (to prevent errors because of very small negativ baricentric coordinates) More...
 
NormVecDecoratormTIN
 Association with a triangulation object. More...
 
Point3D point1
 First point of the triangle in x-,y-,z-coordinates. More...
 
Point3D point2
 Second point of the triangle in x-,y-,z-coordinates. More...
 
Point3D point3
 Third point of the triangle in x-,y-,z-coordinates. More...
 

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 29 of file CloughTocherInterpolator.h.

Constructor & Destructor Documentation

◆ CloughTocherInterpolator() [1/2]

CloughTocherInterpolator::CloughTocherInterpolator ( )

Standard constructor.

◆ CloughTocherInterpolator() [2/2]

CloughTocherInterpolator::CloughTocherInterpolator ( NormVecDecorator tin)

Constructor with a pointer to the triangulation as argument.

◆ ~CloughTocherInterpolator()

virtual CloughTocherInterpolator::~CloughTocherInterpolator ( )
virtual

Destructor.

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

◆ calcNormVec()

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.

◆ calcPoint()

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.

◆ init()

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

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

◆ setTriangulation()

virtual void CloughTocherInterpolator::setTriangulation ( NormVecDecorator tin)
virtual

Member Data Documentation

◆ cp1

Point3D CloughTocherInterpolator::cp1
protected

Definition at line 42 of file CloughTocherInterpolator.h.

◆ cp10

Point3D CloughTocherInterpolator::cp10
protected

Definition at line 51 of file CloughTocherInterpolator.h.

◆ cp11

Point3D CloughTocherInterpolator::cp11
protected

Definition at line 52 of file CloughTocherInterpolator.h.

◆ cp12

Point3D CloughTocherInterpolator::cp12
protected

Definition at line 53 of file CloughTocherInterpolator.h.

◆ cp13

Point3D CloughTocherInterpolator::cp13
protected

Definition at line 54 of file CloughTocherInterpolator.h.

◆ cp14

Point3D CloughTocherInterpolator::cp14
protected

Definition at line 55 of file CloughTocherInterpolator.h.

◆ cp15

Point3D CloughTocherInterpolator::cp15
protected

Definition at line 56 of file CloughTocherInterpolator.h.

◆ cp16

Point3D CloughTocherInterpolator::cp16
protected

Definition at line 57 of file CloughTocherInterpolator.h.

◆ cp2

Point3D CloughTocherInterpolator::cp2
protected

Definition at line 43 of file CloughTocherInterpolator.h.

◆ cp3

Point3D CloughTocherInterpolator::cp3
protected

Definition at line 44 of file CloughTocherInterpolator.h.

◆ cp4

Point3D CloughTocherInterpolator::cp4
protected

Definition at line 45 of file CloughTocherInterpolator.h.

◆ cp5

Point3D CloughTocherInterpolator::cp5
protected

Definition at line 46 of file CloughTocherInterpolator.h.

◆ cp6

Point3D CloughTocherInterpolator::cp6
protected

Definition at line 47 of file CloughTocherInterpolator.h.

◆ cp7

Point3D CloughTocherInterpolator::cp7
protected

Definition at line 48 of file CloughTocherInterpolator.h.

◆ cp8

Point3D CloughTocherInterpolator::cp8
protected

Definition at line 49 of file CloughTocherInterpolator.h.

◆ cp9

Point3D CloughTocherInterpolator::cp9
protected

Definition at line 50 of file CloughTocherInterpolator.h.

◆ der1X

double CloughTocherInterpolator::der1X
protected

Derivative in x-direction at point1.

Definition at line 59 of file CloughTocherInterpolator.h.

◆ der1Y

double CloughTocherInterpolator::der1Y
protected

Derivative in y-direction at point1.

Definition at line 61 of file CloughTocherInterpolator.h.

◆ der2X

double CloughTocherInterpolator::der2X
protected

Derivative in x-direction at point2.

Definition at line 63 of file CloughTocherInterpolator.h.

◆ der2Y

double CloughTocherInterpolator::der2Y
protected

Derivative in y-direction at point2.

Definition at line 65 of file CloughTocherInterpolator.h.

◆ der3X

double CloughTocherInterpolator::der3X
protected

Derivative in x-direction at point3.

Definition at line 67 of file CloughTocherInterpolator.h.

◆ der3Y

double CloughTocherInterpolator::der3Y
protected

Derivative in y-direction at point3.

Definition at line 69 of file CloughTocherInterpolator.h.

◆ lpoint1

Point3D CloughTocherInterpolator::lpoint1
protected

Stores point1 of the last run.

Definition at line 71 of file CloughTocherInterpolator.h.

◆ lpoint2

Point3D CloughTocherInterpolator::lpoint2
protected

Stores point2 of the last run.

Definition at line 73 of file CloughTocherInterpolator.h.

◆ lpoint3

Point3D CloughTocherInterpolator::lpoint3
protected

Stores point3 of the last run.

Definition at line 75 of file CloughTocherInterpolator.h.

◆ mEdgeTolerance

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 35 of file CloughTocherInterpolator.h.

◆ mTIN

NormVecDecorator* CloughTocherInterpolator::mTIN
protected

Association with a triangulation object.

Definition at line 33 of file CloughTocherInterpolator.h.

◆ point1

Point3D CloughTocherInterpolator::point1
protected

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

Definition at line 37 of file CloughTocherInterpolator.h.

◆ point2

Point3D CloughTocherInterpolator::point2
protected

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

Definition at line 39 of file CloughTocherInterpolator.h.

◆ point3

Point3D CloughTocherInterpolator::point3
protected

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

Definition at line 41 of file CloughTocherInterpolator.h.


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