Handy Polynomial Fitting with Bernstein Polynomials

11112018, 01:51 PM
(This post was last modified: 11112018 02:56 PM by Namir.)
Post: #6




RE: Handy Polynomial Fitting with Bernstein Polynomials
Thomas,
I was doing a regression with Bernstein basis polynomials terms. I do not use the term f(j/n). With orders of 4 or 5 I get good results. In my Excel sheet column A has the original values of x, and column B has the normalized values of x. Column C has the y data. To calculate the fits row of Bernstein basis polynomials terms based on the x(1) value in cell B2, I use the following formulas: =COMBIN(4,0)*(1B2)^4 in cell E2 =COMBIN(4,1)*B2*(1B2)^3 in cell F2 =COMBIN(4,2)*B2^2*(1B2)^2 in cell G2 =COMBIN(4,3)*B2^3*(1B2) in cell H2 =COMBIN(4,4)*B2^4 in cell I2 I then replicate these formulas down the rows of data and then use Excel Analysis Tool to perform multiple regression. I specified that the model include a constant term. This choice is optional. Namir 

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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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