QwtSplineInterpolating Class Referenceabstract

Base class for a spline interpolation. More...

`#include <qwt_spline.h>`

Inheritance diagram for QwtSplineInterpolating:

## 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. More...
virtual QPolygonF | polygon (const QPolygonF &, double tolerance) const override
| Interpolate a curve by a polygon. More...
virtual QPainterPath | painterPath (const QPolygonF &) const override
| Interpolate a curve with Bezier curves. More...
virtual QVector< QLineF > | bezierControlLines (const QPolygonF &) const =0
| Interpolate a curve with Bezier curves. More...
Public Member Functions inherited from QwtSpline
| QwtSpline ()
| Constructor. More...
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. More...
double | boundaryValue (BoundaryPosition) const
void | setBoundaryCondition (BoundaryPosition, int condition)
| Define the condition for an endpoint of the spline. More...
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. More...
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. More...

## 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.

## Member Function Documentation

## bezierControlLines()

QVector< QLineF > QwtSplineInterpolating::bezierControlLines | ( | const QPolygonF & | 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 QwtSplineCubic, QwtSplinePleasing, QwtSplineLocal, QwtSplineC2, and QwtSplineC1.

## equidistantPolygon()

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 QwtSplineC2, and QwtSplineC1.

Definition at line 863 of file qwt_spline.cpp.

## painterPath()

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 QwtSplinePleasing, QwtSplineLocal, QwtSplineCubic, QwtSplineC2, and QwtSplineC1.

Definition at line 748 of file qwt_spline.cpp.

## polygon()

QPolygonF QwtSplineInterpolating::polygon | ( | const QPolygonF & | points,
|  | double | tolerance
| ) |  | 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.