Handy Polynomial Fitting with Bernstein Polynomials

11122018, 01:21 PM
Post: #8




RE: Handy Polynomial Fitting with Bernstein Polynomials
(11122018 05:39 AM)Thomas Klemm Wrote:(11102018 10:22 PM)Namir Wrote: I stumbled on an article discussing the advantages of using Bernstein polynomials for curve fitting. Unlike regular polynomials, the Bernstein polynomials offer smooth fitting with no wild deviations that occur when the order of the fitting classical polynomial is high. I vaguely remember learning about Chebyshev polynomials for this purpose. As I recall, Chebyshev fits have the nice property of having a hard upper bound on the error, which is within a constant (a factor of about 3 IIRC) of the worstcase error of the optimal fit. I'd have to dig around to find that textbook, though, it may have been lost in the mists of time... 

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Messages In This Thread 
Handy Polynomial Fitting with Bernstein Polynomials  Namir  11102018, 10:22 PM
RE: Handy Polynomial Fitting with Bernstein Polynomials  Valentin Albillo  11112018, 03:10 AM
RE: Handy Polynomial Fitting with Bernstein Polynomials  Namir  11112018, 06:00 AM
RE: Handy Polynomial Fitting with Bernstein Polynomials  Thomas Klemm  11112018, 05:12 AM
RE: Handy Polynomial Fitting with Bernstein Polynomials  Thomas Klemm  11112018, 01:39 PM
RE: Handy Polynomial Fitting with Bernstein Polynomials  Namir  11112018, 01:51 PM
RE: Handy Polynomial Fitting with Bernstein Polynomials  Thomas Klemm  11122018, 05:39 AM
RE: Handy Polynomial Fitting with Bernstein Polynomials  Thomas Okken  11122018 01:21 PM
RE: Handy Polynomial Fitting with Bernstein Polynomials  Thomas Klemm  11122018, 02:09 PM

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