## Bezier Curves question

Hi everyone

I have a fairly simple question about bezier curves: can you represent n bezier curves that have been continuously joined together by a single bezier curve of degree 3n?

My instinct is to just take the 3n+1 control points and use them for a degree 3n curve, but I'm not sure...

Thanks a lot

-
 I think there might be an issue with regularity. A piecewise curve of $n$ pieces will only be piecewise differentiable (of some degree probably less than $n$, for example a piecewise cubic Bezier can be $C^1$ but not $C^2$), while a $3n$ degree Bezier curve is $3n$-times continuously differentiable. It's likely that choosing a high-enough degree would give a reasonably good approximation (think using a finite-element approximation (which is amusing in a way, since it is approximating what is often used as a finite-element)). – Victor Dods Apr 29 2012 at 6:48