Quote Originally Posted by jemidiah View Post
Something looking too easy is no real reason to think it won't work. The obvious generalization is often the correct one. If you pick the right boundary conditions and spacing, it'll "work" in that (f1, f2, f3, f4) can be determined uniquely to pass through the points you give it. That function will be continuous by definition. I dunno what other properties you want, since you've been vague.
Ok. To be precise, I have a value, call it gamma, that is a function of 4 variables, call them (w, x, y and z), i.e. gamma =fn(w,x,y,z). Each of these 4 variables are independent and have their own ranges. E.g, w ranges from 0 to 0.1, x from 200 to 3000, y from 0.2 to 200 and z from 0 to 0.08. (The ranges have their own independent steps).
Thus, one can form 4 spline curves for each variable and each variable will have it's own 4 points for interpolation. So, a user will give inputs of w, x, y and z and the user will be seeking the value of gamma. Now, can the parametric method be used for this interpolation in 4 variables ?
Perhaps another way of putting the question is, "How does one combine the 4 independent curves" ?
Thanks.