QwtSplineInterpolating - Base class for a spline interpolation.

NAME  SYNOPSIS  Public Member Functions  Additional Inherited Members  Detailed Description  Constructor & Destructor Documentation  QwtSplineInterpolating::QwtSplineInterpolating ()  QwtSplineInterpolating::˜QwtSplineInterpolating () [virtual]  Member Function Documentation  virtual QVector< QLineF > QwtSplineInterpolating::bezierControlLines (constQPolygonF & points) const [pure virtual]  QPolygonF QwtSplineInterpolating::equidistantPolygon (const QPolygonF &points, double distance, bool withNodes) const [virtual]  QPainterPath QwtSplineInterpolating::painterPath (const QPolygonF & points)const [override], [virtual]  QPolygonF QwtSplineInterpolating::polygon (const QPolygonF & points, doubletolerance) const [override], [virtual]  Author 

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NAME

QwtSplineInterpolating − Base class for a spline interpolation.

SYNOPSIS

#include <qwt_spline.h>

Inherits QwtSpline.

Inherited by QwtSplineG1.

Public Member Functions

QwtSplineInterpolating ()
Constructor.
virtual ˜QwtSplineInterpolating ()
Destructor.
virtual QPolygonF equidistantPolygon (const QPolygonF &, double distance, bool withNodes) const
Find an interpolated polygon with equidistant"points.
virtual QPolygonF polygon (const QPolygonF &, double tolerance) const override
Interpolate a curve by a polygon.
virtual QPainterPath painterPath (const QPolygonF &) const override
Interpolate a curve with Bezier curves.
virtual QVector< QLineF > bezierControlLines (const QPolygonF &) const =0
Interpolate a curve with Bezier curves.

Public Member Functions inherited from QwtSpline

QwtSpline ()
Constructor.
virtual ˜QwtSpline ()
Destructor.
void setParametrization (int type)
void setParametrization (QwtSplineParametrization *)
const QwtSplineParametrization * parametrization () const
void setBoundaryType (BoundaryType)
BoundaryType boundaryType () const
void setBoundaryValue (BoundaryPosition, double value)
Define the boundary value.
double boundaryValue (BoundaryPosition) const
void setBoundaryCondition (BoundaryPosition, int condition)
Define the condition for an endpoint of the spline.
int boundaryCondition (BoundaryPosition) const
void setBoundaryConditions (int condition, double valueBegin=0.0, double valueEnd=0.0)
Define the condition at the endpoints of a spline.
virtual uint locality () const

Additional Inherited Members

Public Types inherited from QwtSpline

enum BoundaryType { ConditionalBoundaries, PeriodicPolygon, ClosedPolygon }
enum BoundaryPosition { AtBeginning, AtEnd }
enum BoundaryCondition { Clamped1, Clamped2, Clamped3, LinearRunout }
Boundary condition.

Detailed Description

Base class for a spline interpolation.

Spline interpolation is the process of interpolating a set of points piecewise with polynomials. The initial set of points is preserved.

Definition at line 193 of file qwt_spline.h.

Constructor & Destructor Documentation

QwtSplineInterpolating::QwtSplineInterpolating ()

Constructor.

Definition at line 711 of file qwt_spline.cpp.

QwtSplineInterpolating::˜QwtSplineInterpolating () [virtual]

Destructor.

Definition at line 716 of file qwt_spline.cpp.

Member Function Documentation

virtual QVector< QLineF > QwtSplineInterpolating::bezierControlLines (constQPolygonF & points) const [pure virtual]

Interpolate a curve with Bezier curves. Interpolates a polygon piecewise with cubic Bezier curves and returns the 2 control points of each curve as QLineF.

Parameters

points Control points

Returns

Control points of the interpolating Bezier curves

Implemented in QwtSplineC1, QwtSplineC2, QwtSplineCubic, QwtSplineLocal, and QwtSplinePleasing.

QPolygonF QwtSplineInterpolating::equidistantPolygon (const QPolygonF &points, double distance, bool withNodes) const [virtual]

Find an interpolated polygon with "equidistant" points. When withNodes is disabled all points of the resulting polygon will be equidistant according to the parametrization.

When withNodes is enabled the resulting polygon will also include the control points and the interpolated points are always aligned to the control point before ( points[i] + i * distance ).

The implementation calculates bezier curves first and calculates the interpolated points in a second run.

Parameters

points Control nodes of the spline
distance Distance between 2 points according to the parametrization
withNodes When true, also add the control nodes ( even if not being equidistant )

Returns

Interpolating polygon

See also

bezierControlLines()

Reimplemented in QwtSplineC1, and QwtSplineC2.

Definition at line 863 of file qwt_spline.cpp.

QPainterPath QwtSplineInterpolating::painterPath (const QPolygonF & points)const [override], [virtual]

Interpolate a curve with Bezier curves. Interpolates a polygon piecewise with cubic Bezier curves and returns them as QPainterPath.

The implementation calculates the Bezier control lines first and converts them into painter path elements in an additional loop.

Parameters

points Control points

Returns

Painter path, that can be rendered by QPainter

Note

Derived spline classes might overload painterPath() to avoid the extra loops for converting results into a QPainterPath

See also

bezierControlLines()

Implements QwtSpline.

Reimplemented in QwtSplineC1, QwtSplineC2, QwtSplineCubic, QwtSplineLocal, and QwtSplinePleasing.

Definition at line 748 of file qwt_spline.cpp.

QPolygonF QwtSplineInterpolating::polygon (const QPolygonF & points, doubletolerance) const [override], [virtual]

Interpolate a curve by a polygon. Interpolates a polygon piecewise with Bezier curves approximating them by polygons.

The approximation is based on "Piecewise Linear Approximation of Bézier Curves" by Roger Willcocks ( http://www.rops.org )

Parameters

points Control points
tolerance Maximum for the accepted error of the approximation

Returns

polygon approximating the interpolating polynomials

See also

bezierControlLines(), QwtSplineBezier::toPolygon()

Reimplemented from QwtSpline.

Definition at line 805 of file qwt_spline.cpp.

Author

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