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.TH "QwtBezier" 3 "Sun Jul 18 2021" "Version 6.2.0" "Qwt User's Guide" \" -*- nroff -*-
.ad l
.nh
.SH NAME
QwtBezier \- An implementation of the de Casteljau’s Algorithm for interpolating Bézier curves\&.
.SH SYNOPSIS
.br
.PP
.PP
\fC#include <qwt_bezier\&.h>\fP
.SS "Public Member Functions"
.in +1c
.ti -1c
.RI "\fBQwtBezier\fP (double \fBtolerance\fP=0\&.5)"
.br
.RI "Constructor\&. "
.ti -1c
.RI "\fB~QwtBezier\fP ()"
.br
.RI "Destructor\&. "
.ti -1c
.RI "void \fBsetTolerance\fP (double \fBtolerance\fP)"
.br
.ti -1c
.RI "double \fBtolerance\fP () const"
.br
.ti -1c
.RI "QPolygonF \fBtoPolygon\fP (const QPointF &p1, const QPointF &cp1, const QPointF &cp2, const QPointF &p2) const"
.br
.RI "Interpolate a Bézier curve by a polygon\&. "
.ti -1c
.RI "void \fBappendToPolygon\fP (const QPointF &p1, const QPointF &cp1, const QPointF &cp2, const QPointF &p2, QPolygonF &polygon) const"
.br
.RI "Interpolate a Bézier curve by a polygon\&. "
.in -1c
.SS "Static Public Member Functions"
.in +1c
.ti -1c
.RI "static QPointF \fBpointAt\fP (const QPointF &p1, const QPointF &cp1, const QPointF &cp2, const QPointF &p2, double t)"
.br
.in -1c
.SH "Detailed Description"
.PP
An implementation of the de Casteljau’s Algorithm for interpolating Bézier curves\&.
The flatness criterion for terminating the subdivision is based on 'Piecewise Linear Approximation of Bézier Curves' by Roger Willcocks ( http://www.rops.org )
.PP
This article explains the maths behind in a very nice way: https://jeremykun.com/2013/05/11/bezier-curves-and-picasso
.PP
Definition at line 29 of file qwt_bezier\&.h\&.
.SH "Constructor & Destructor Documentation"
.PP
.SS "QwtBezier::QwtBezier (double tolerance = \fC0\&.5\fP)"
.PP
Constructor\&.
.PP
\fBParameters\fP
.RS 4
\fItolerance\fP Termination criterion for the subdivision
.RE
.PP
\fBSee also\fP
.RS 4
\fBsetTolerance()\fP
.RE
.PP
.PP
Definition at line 116 of file qwt_bezier\&.cpp\&.
.SH "Member Function Documentation"
.PP
.SS "void QwtBezier::appendToPolygon (const QPointF & p1, const QPointF & cp1, const QPointF & cp2, const QPointF & p2, QPolygonF & polygon) const"
.PP
Interpolate a Bézier curve by a polygon\&. \fBappendToPolygon()\fP is tailored for cumulating points from a sequence of bezier curves like being created by a spline interpolation\&.
.PP
\fBParameters\fP
.RS 4
\fIp1\fP Start point
.br
\fIcp1\fP First control point
.br
\fIcp2\fP Second control point
.br
\fIp2\fP End point
.br
\fIpolygon\fP Polygon, where the interpolating points are added
.RE
.PP
\fBNote\fP
.RS 4
If the last point of the incoming polygon matches p1 it won't be inserted a second time\&.
.RE
.PP
.PP
Definition at line 186 of file qwt_bezier\&.cpp\&.
.SS "QPointF QwtBezier::pointAt (const QPointF & p1, const QPointF & cp1, const QPointF & cp2, const QPointF & p2, double t)\fC [static]\fP"
Find a point on a Bézier Curve
.PP
\fBParameters\fP
.RS 4
\fIp1\fP Start point
.br
\fIcp1\fP First control point
.br
\fIcp2\fP Second control point
.br
\fIp2\fP End point
.br
\fIt\fP Parameter value, something between [0,1]
.RE
.PP
\fBReturns\fP
.RS 4
Point on the curve
.RE
.PP
.PP
Definition at line 239 of file qwt_bezier\&.cpp\&.
.SS "void QwtBezier::setTolerance (double tolerance)"
Set the tolerance
.PP
The tolerance is a measurement for the flatness of a curve\&. A curve with a flatness below the tolerance is considered as being flat terminating the subdivision algorithm\&.
.PP
When interpolating a Bezier curve to render it as a sequence of lines to some sort of raster ( f\&.e to screen ) a value of 0\&.5 of the pixel size is a good value for the tolerance\&.
.PP
\fBParameters\fP
.RS 4
\fItolerance\fP Termination criterion for the subdivision
.RE
.PP
\fBSee also\fP
.RS 4
\fBtolerance()\fP
.RE
.PP
.PP
Definition at line 141 of file qwt_bezier\&.cpp\&.
.SS "double QwtBezier::tolerance () const\fC [inline]\fP"
.PP
\fBReturns\fP
.RS 4
Tolerance, that is used as criterion for the subdivision
.RE
.PP
\fBSee also\fP
.RS 4
\fBsetTolerance()\fP
.RE
.PP
.PP
Definition at line 56 of file qwt_bezier\&.h\&.
.SS "QPolygonF QwtBezier::toPolygon (const QPointF & p1, const QPointF & cp1, const QPointF & cp2, const QPointF & p2) const"
.PP
Interpolate a Bézier curve by a polygon\&.
.PP
\fBParameters\fP
.RS 4
\fIp1\fP Start point
.br
\fIcp1\fP First control point
.br
\fIcp2\fP Second control point
.br
\fIp2\fP End point
.RE
.PP
\fBReturns\fP
.RS 4
Interpolating polygon
.RE
.PP
.PP
Definition at line 157 of file qwt_bezier\&.cpp\&.
.SH "Author"
.PP
Generated automatically by Doxygen for Qwt User's Guide from the source code\&.