3 ms·
Thanks for the link to Ramshaw's other paper. I'd not seen that before and I think it'll be very helpful for some work that I occasionally toy with. As a side
by kxyvr 11y ago
Thanks for the link to Ramshaw's other paper. I'd not seen that before and I think it'll be very helpful for some work that I occasionally toy with.
As a side note to the parent comment, things like blossoms, polar forms, and sites aren't really introductory material, but it's something that I've found incredibly useful and a tool that I wish more people new about. Beyond graphics, Bezier surfaces have an extremely rich structure of properties that can be exploited and, for me, blossoms were the key to understanding that. For example, by using blossoms, I can force the intersection between two different triangular Bernstein-Bezier patches to be smooth and differentiable up to p-2 derivatives where p is the polynomial order. And, this can be done with linear constraints. See proposition 21.1 in Ramshaw's 1987 paper. There's a litany of other properties as well. Anyway, this is more of a way to say that Bezier curves have important applications in optimal design and other fields outside of computer graphics, but I think that requires using some of the lesser known properties of which blossoms are one tool.
Alright, so most of that was for the parent commentator's benefit, but I'll say thanks again for the link to the other Ramshaw paper. I didn't realize there was a continuation of the original blossoming work and I think the results in that newer paper will be incredibly helpful for me.