MathOverflow is a question and answer site for professional mathematicians. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

So, I am aware of how to (both iteratively and using a linear equation) compute the cubic spline of a one-variable function with $m$ control points. However, I am not sure how to do any type of spline on a two-variable function with $mn$ control points in a square grid. Is this even possible? Is there a simple algorithm? I've tried to see if the process is separable, but so far I can't seem to prove it one way or the other.

share|cite|improve this question
Carl de Boor has elaborated on the theory of multivariable splines. See here: – Steve Huntsman Dec 18 '09 at 21:04

There is a nice book by Les A. Piegl and Wayne Tiller, which is intended as an introduction to NURBS, but in the first chapters also provides theoretical background for uni- and bivariate Beziers und Splines.

The NURBS Book Les A. Piegl, Wayne Tiller Springer ISBN-10: 3540615458 ISBN-13: 978-3540615453

share|cite|improve this answer
Thanks, will see if I can get my hands on it. – rlbond Dec 26 '09 at 1:49

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.