2-D Chebyshev Polynomial Regression

*To*: mathgroup at smc.vnet.net*Subject*: [mg13122] 2-D Chebyshev Polynomial Regression*From*: "Chris Farr" <farr at brown.edu>*Date*: Tue, 7 Jul 1998 03:44:25 -0400*Sender*: owner-wri-mathgroup at wolfram.com

Math Group, Has anyone created a function in Mathematica to approximate a function of two variables using 2-D Chebyshev Polynomial Regression? That is, has someone created a Mathematica algorithm which takes as its input a real valued function f(x,y) defined on [a,b] X [c,d] and returns a Chebyshev polynomial approximation p(x,y)? If so, I would be interested in obtaining it. Thanks, Chris Farr