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CloughTocherInterpolator Class Reference

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

#include <CloughTocherInterpolator.h>

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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)
 Calculates the normal vector and assigns it to vec (not implemented at the moment) More...
 
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. More...
 
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. More...
 
double calcBernsteinPoly (int n, int i, int j, int k, double u, double v, double w)
 Calculates the Bernsteinpolynomials to calculate the Beziertriangle. More...
 

Protected Attributes

NormVecDecoratormTIN
 association with a triangulation object 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...
 
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...
 
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 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...
 

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 ( )
inline

standard constructor

Definition at line 95 of file CloughTocherInterpolator.h.

CloughTocherInterpolator::CloughTocherInterpolator ( NormVecDecorator tin)
inline

constructor with a pointer to the triangulation as argument

Definition at line 100 of file CloughTocherInterpolator.h.

CloughTocherInterpolator::~CloughTocherInterpolator ( )
inlinevirtual

destructor

Definition at line 105 of file CloughTocherInterpolator.h.

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

Definition at line 110 of file CloughTocherInterpolator.h.

References mTIN.

Referenced by QgsTINInterpolator::initialize().

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.

Referenced by setTriangulation().

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: