How do I find a 4th degree polynomial passing through 1000 points (x,y) format??

Any methods to use? Vandermonde matrix doesn't work

Mathematics experts please help!!!!

needs elaboration.

See in this example, the red line passes through the points, I want to make a 4th degree polynomial like that.

function of a form y = ax^4 + bx^3 + cx^2 + dx + e

Something very much like this.

How do I do that?

still unable to understand, first image is of a first degree polynomial i.e. equation of a straight line but the second image is not of a fourth degree. What do you mean by passing through 1000 points, ofcourse a line passes through unlimited number of points.

The points are scattered in 2D plane. You there is only one possible fourth degree polynomial that would pass through the scatter.

Am I not explaining it right?

You mean that you have been given the points and you have to find the equation of that curve, isn't it?

Anurag, the data is equidistant. No interpolation needed. I couldnt understand the B-spilne functions. I need to find an example of it to understand and no sites have it.

Thanks for your efforts.

C'lekha:

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Anurag, the data is equidistant. No interpolation needed. I couldnt understand the B-spilne functions. I need to find an example of it to understand and no sites have it.

Thanks for your efforts.

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Neither does the "Beastiality" site have thine picture. Hurry up, no?

Chitra, check your PM.

anurag

good shot uni !

Do share the solution if you have got it by now... If not can you give any 5 points out of 1000 available points? I am assuming you have set of points with you...

Cheers,

No solution found yet. I dont know how to find the first derivative (for the B-spline). Attaching a file with those 1000 points. Let me know if you can find a solution.

Thanks.