You want to draw Cubic Bezier curves in Flash?

Posted on 29 December , 2006 by Koen

If you want to draw some cubic Bezier curves in Flash, at the moment it is not really possible. That’s the reason why I did some search work to find a good way to really draw some cubic beziercurves in Flash. I good starting point is (as most of the time ) Wikipedia (which was in our Belgium news today). The article I want to point is located at http://en.wikipedia.org/wiki/Bezier_curve .

  

Cubic Bézier curve

Bézier curves were widely publicised in 1962 by the French engineer Pierre Bézier, who used them to design automobile bodies.

There are several methods to draw a Cubic bezier curve in Flash as explained into  this (old) article: http://timotheegroleau.com/Flash/articles/cubic_bezier_in_flash.htm

I made some example application where I use the following expression to calculate the cubic bezier curve . I do this for the X and Y coordinate of the point on the curve.

\mathbf{B}(t)=\mathbf{P}_0(1-t)^3+3\mathbf{P}_1t(1-t)^2+3\mathbf{P}_2t^2(1-t)+\mathbf{P}_3t^3 \mbox{ , } t \in [0,1]. 

I made some code example similar to the wikipedia C++ example in actionscript wich you can download here. It is made for clarity and can be a lot more optimized.  If you have questions about it, feel free to comment about it !

UPDATE : I forgot to mention the example is build in the new FlashDevelop 2.0.2 and it all went very smooth, thanx to the FlashDevelop team to build such a wonderfull tool  ;-)

cheers

koen

 

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Filed under: Flash, Flash 8, Flash CS3

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8 Responses to “You want to draw Cubic Bezier curves in Flash?”

  1. Michael Yesutin, on December 29th, 2006 at 5:37 am Said:

    You get to the studies Russian programmers Ivan Dembicki and Alexander Sergeev. http://www.bezier.ru/

  2. Koen, on December 29th, 2006 at 11:01 am Said:

    cool, I have to study Russian language :-) I Did not know about their site but it is very interesting.

  3. Benoit 'Raz-L' Jadinon, on December 29th, 2006 at 11:05 am Said:

    hi, i did a bezier class too, some time ago, if you want to check it :
    http://www.raz-l.com/brol/bezier.zip

  4. Wouter, on December 29th, 2006 at 12:05 pm Said:

    Hey Koen,

    I needed quadratic curves a while ago and found a good AS2 class here:

    http://www.alex-uhlmann.de/flash/animationpackage/

    It contains com.robertpenner.bezier.CubicCurve, which is (hence the package name) a port from Robert Penners as1 bezier drawing functions…

  5. WebService //Flash :: И снова кривые Безье не дают покоя лучшим умам человечества :), on December 30th, 2006 at 4:59 pm Said:

    [...] Все мы знаем об исследованиях, проводимых Иваном Дембицким. Вот и еще один пример, подобных исследований. На этот раз зарубежный. [...]

  6. sumantra dam, on March 5th, 2007 at 7:24 pm Said:

    determine the cubic bezier curve that would be formed with the following control points
    T1(0,40),T2(40,40),T3(60,20)and T4(60,0).Daw a rough sketch of the curve

    It is proposed to draw another curve which meets the above curve smoothly.
    Suggest a set of 4 control points that would carry out the job.

  7. zapalyt, on December 18th, 2007 at 8:59 am Said:

    izvenite no nam nado sdelat test
    vi ved ne bydete protiv admini

  8. binod singh, on May 13th, 2008 at 12:12 pm Said:

    Hi, Can u please give me some hint about drawing cubic bezier curve in flash…

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