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Divide Cubic Bezier into equal length segments
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Mark3D  
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 More options May 17 2007, 4:51 pm
Newsgroups: comp.graphics.algorithms
From: Mark3D <topolone_...@hotmail.com>
Date: 17 May 2007 13:51:31 -0700
Local: Thurs, May 17 2007 4:51 pm
Subject: Divide Cubic Bezier into equal length segments
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Hi,
I have to animate an object along a bezier curve.
So, if I want to create 100 frames, I have to split the curve in 100
equal length segments.
As you know the t parameter is not linear, so if I pass t = 0.5 I get
a point which is not at half-a-distance from the first point of the
curve, and this is wrong to me. So, how should I divide the curve in x
segments with equal length? I have checked this group but it's not yet
clear to me how to do. Any help? Any function returning xyz coords by
passing a linear t parameter (based on the whole length of the curve)
would be greatly welcome. Thank you.

 
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Dave Eberly  
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 More options May 18 2007, 1:23 am
Newsgroups: comp.graphics.algorithms
From: "Dave Eberly" <dNOSPAMebe...@usemydomain.com>
Date: Thu, 17 May 2007 22:23:09 -0700
Local: Fri, May 18 2007 1:23 am
Subject: Re: Divide Cubic Bezier into equal length segments
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"Mark3D" <topolone_...@hotmail.com> wrote in message

news:1179435090.993682.302800@p77g2000hsh.googlegroups.com...

> Hi,
> I have to animate an object along a bezier curve.
> So, if I want to create 100 frames, I have to split the curve in 100
> equal length segments.
> As you know the t parameter is not linear, so if I pass t = 0.5 I get
> a point which is not at half-a-distance from the first point of the
> curve, and this is wrong to me. So, how should I divide the curve in x
> segments with equal length? I have checked this group but it's not yet
> clear to me how to do. Any help? Any function returning xyz coords by
> passing a linear t parameter (based on the whole length of the curve)
> would be greatly welcome. Thank you.

Look at
http://www.geometrictools.com/Documentation/MovingAlongCurveSpecified...
My Curve2 and Curve3 classes have an implementation of the ideas
in this document.  You choose the arclength s of interest, and then
compute the corresponding curve parameter t that gets you to that
arclength.

--
Dave Eberly
http://www.geometrictools.com


 
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