How do bezier handles work?

Posted by user146780 on Stack Overflow See other posts from Stack Overflow or by user146780
Published on 2010-05-25T03:09:33Z Indexed on 2010/05/25 3:21 UTC
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On Wikipedia I found information about bezier curves and made a function to generate the inbetween points for a bezier polygon. I noticed that Expression Design uses bezier handles. This allows a circle to be made with 4 points each with a bezier handle.

I'm just not sure mathematically how this works in relation with the formula for bezier point at time T. How do these handle vectors work to modify the shape? Basically what's there relation to the bezier formula?

Thanks

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