Polynomial Interpolation
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From: geek on 26 Jul 2010 23:53 Hi.., Given sampling points { i.e. yi = fi(x) } one can get an interpolation polynomial. one can choose 1. Least Squares 2. Lagrange Polynomial or 3. Orthogonal Polynomials if the problem is like this ui = fi(x,y,z,t). How to sample them and get an interpolation polynomial. Particularly, how to sample a bi-variate function {i.e.z= f(x,y)} and get a interpolating polynomial? cheers & Thanks.
From: Ray Vickson on 27 Jul 2010 04:54
On Jul 26, 8:53 pm, geek <g...(a)nospam.net> wrote: > Hi.., > > Given sampling points { i.e. yi = fi(x) } one can get an > interpolation polynomial. one can choose > > 1. Least Squares > 2. Lagrange Polynomial or > 3. Orthogonal Polynomials > > if the problem is like this ui = fi(x,y,z,t). How to sample them and get > an interpolation polynomial. > > Particularly, how to sample a bi-variate function {i.e.z= f(x,y)} and > get a interpolating polynomial? > > cheers & Thanks. Google 'multivariate interpolation'---gets lots of relevant hits with many numerous freely downloadable articles. R.G. Vickson |