Following on from a past question about degree elevation of a rational Bezier curve, of degree $n$ by one to $n + 1$, I am now looking to derive a single expression for degree elevation by an arbitrary number, say $m$, to $n + m$.
I'd appreciate help or insight into this problem or references, if this problem has already been addressed by someone. (I haven't been able to find any references.)
For specific numerical values of $m$ and $n$, you can get what you want just by combining the formulae for one-step degree elevation, of course. You could make a large table of coefficients for all the degrees that interest you. A computer algebra system would be a big help in doing this.
If you want a symbolic formula in terms of general $m$ and $n$, I think it will be a huge incomprehensible mess. That's probably why it hasn't been derived in the past (as far as I know).
