Draw a BezierCurve in dxf

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Draw a BezierCurve in dxf

Postby kayoot » Thu Nov 26, 2009 11:13 am

Hello

I've got a problem with export to dxf. I need to export bezier curve, i have coordinates of start point, end point ang control points. Unfortunately, on the dxf entiti section there is no it.

Could anyone help me with this ?

THX a lot.


EDIT:

I try to do it by SPLINE but it isn't working...
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Postby andrew » Thu Nov 26, 2009 3:30 pm

Code: Select all
// write spline entity
dxf.writeSpline(writer,
    DL_SplineData(degreeOfSpline,
                      numKnots,
                      numCtrl,
                      flags),
        attributes);

// write spline knots (example, might vary in your case):
int k = degreeOfSpline +1;
DL_KnotData kd;
for (int i=1; i<=numKnots; i++) {
        if (i<=k) {
            kd = DL_KnotData(0.0);
        } else if (i<=numKnots-k) {
            kd = DL_KnotData(1.0/(numKnots-2*k+1) * (i-k));
        } else {
            kd = DL_KnotData(1.0);
        }
        dxf.writeKnot(writer, kd);
}

// write spline control points (numCtrl control points):
dxf.writeControlPoint(writer, DL_ControlPointData(x, y, z));
dxf.writeControlPoint(writer, DL_ControlPointData(x, y, z));
...

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andrew
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Re: Draw a BezierCurve in dxf

Postby wolfhergang » Wed Oct 09, 2013 12:10 am

andrew wrote:
Code: Select all
// write spline entity
dxf.writeSpline(writer,
    DL_SplineData(degreeOfSpline,
                      numKnots,
                      numCtrl,
                      flags),
        attributes);

// write spline knots (example, might vary in your case):
int k = degreeOfSpline +1;
DL_KnotData kd;
for (int i=1; i<=numKnots; i++) {
        if (i<=k) {
            kd = DL_KnotData(0.0);
        } else if (i<=numKnots-k) {
            kd = DL_KnotData(1.0/(numKnots-2*k+1) * (i-k));
        } else {
            kd = DL_KnotData(1.0);
        }
        dxf.writeKnot(writer, kd);
}

// write spline control points (numCtrl control points):
dxf.writeControlPoint(writer, DL_ControlPointData(x, y, z));
dxf.writeControlPoint(writer, DL_ControlPointData(x, y, z));
...



How did you calculated the knots in that code? im also trying to draw a bezier spline.
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Re: Draw a BezierCurve in dxf

Postby andrew » Thu Oct 10, 2013 10:48 am

The knot vector is part of what defines your spline.

You can find a good explanation and examples for useful knot vectors at:
http://www.cl.cam.ac.uk/teaching/2000/AGraphHCI/SMEG/node4.html#SECTION00041000000000000000
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Re: Draw a BezierCurve in dxf

Postby wolfhergang » Mon Oct 14, 2013 10:42 pm

Hello again Andrew, in your previous code you wrote this little formula:
kd = DL_KnotData(1.0/(numKnots-2*k+1) * (i-k));

to calculate the knot value in the mid section of the knot array, im reading the document you posted for me but i cant figure out how to assign that "constant", any advise?
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Re: Draw a BezierCurve in dxf

Postby andrew » Mon Oct 14, 2013 11:44 pm

This is just a way to evenly distribute the knot values and clamp the knot vector at both ends (make sure spline starts at first control point and ends at last control point).

For example:
0, 0, 0, 0.2, 0.4, 0.6, 0.8, 1.0, 1.0, 1.0
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Re: Draw a BezierCurve in dxf

Postby wolfhergang » Tue Oct 15, 2013 10:16 pm

Something wierd is happening to me now, in the bezier curve definition says that splineDegree=nControlPoints, but if i try to draw any spline with degree higher that 3 doesnt work.

im testing my writing program using QCAD by the way, it has something to do with QCAD methods?

im using the same formula Andrew implemented for knot calculation.

pd: sorry about my english, its not my native lenguage.
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Re: Draw a BezierCurve in dxf

Postby andrew » Tue Oct 15, 2013 10:43 pm

wolfhergang wrote:splineDegree=nControlPoints


The spline degree is either 2 (quadratic spline) or 3 (cubic spline). Higher-degree splines exist but are not supported by QCAD or dxflib (and I've never encountered any spline curves with a higher degree than 3 in real life applications).

However, what you might have read somewhere is that a spline of degree 2 (quadratic) needs at least 3 control points to be defined. A spline of degree 3 (cubic) needs at least 4 control points to be defined.
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Re: Draw a BezierCurve in dxf

Postby wolfhergang » Tue Oct 15, 2013 10:57 pm

i did, and you've just saved me probably another 3 days of research about splines in just a min, i really thank you for your time and your wonderfull library, greeting from méxico.
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Re: Draw a BezierCurve in dxf

Postby wolfhergang » Tue Oct 15, 2013 11:50 pm

I actually run into a new and even worse problem, Bezier curve definition says that Bezier curves k curve degree must always be equal to n control points... so if i want to draw a Bezier spline with 4+ control points im.... lost?

n= k = 4, so its not dxflib/QCAD compatible?
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Re: Draw a BezierCurve in dxf

Postby andrew » Wed Oct 16, 2013 12:09 am

The spline curves in QCAD / dxflib are NURBS (Non-uniform rational Basis-spline).

Bezier curves are related to NURBS as follows: every Bezier curve is also a NURBS. NURBS can be split up into multiple Bezier curves.

NURBS can have any number of control points (>degree).
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