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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