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, 4th Degree polynomial equation

 
> HELPPPPPPPPP!!!!!, 4th Degree polynomial equation
Chitralekha
post Aug 28 2004, 07:24 AM
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How do I find a 4th degree polynomial passing through 1000 points (x,y) format??

Any methods to use? Vandermonde matrix doesn't work sad1.gif

Mathematics experts please help!!!!
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myawan
post Aug 28 2004, 07:42 AM
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needs elaboration.





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Chitralekha
post Aug 28 2004, 08:08 AM
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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


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Chitralekha
post Aug 28 2004, 08:10 AM
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Something very much like this.

How do I do that?


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myawan
post Aug 28 2004, 08:18 AM
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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.





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Chitralekha
post Aug 28 2004, 08:31 AM
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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?

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myawan
post Aug 28 2004, 08:37 AM
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You mean that you have been given the points and you have to find the equation of that curve, isn't it?





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Chitralekha
post Aug 28 2004, 08:52 AM
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QUOTE (myawan @ Aug 27 2004, 08:07 PM)
You mean that you have been given the points and you have to find the equation of that curve, isn't it?

Precisely!
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anurag
post Aug 28 2004, 03:42 PM
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QUOTE (Chitralekha @ Aug 28 2004, 07:24 AM)
How do I find a 4th degree polynomial passing through 1000 points (x,y) format??

Any methods to use? Vandermonde matrix doesn't work sad1.gif

Mathematics experts please help!!!!

use a 4th degree B-Spline function to interpolate -- will also ensure at least C^2 continuity at all intermediate points.
There is recursice deboor-cox formula that you can use to evaluate interpolating functions.


Socrates said, "The unexamined life is not worth living". I fear if I examined it, then according to Heisenberg uncertainty principle it would somehow change. After all, we are just particles.
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Chitralekha
post Sep 5 2004, 02:48 AM
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QUOTE(anurag @ Aug 28 2004, 03:12 AM)
QUOTE(Chitralekha @ Aug 28 2004, 07:24 AM)
How do I find a 4th degree polynomial passing through 1000 points (x,y) format??

Any methods to use? Vandermonde matrix doesn't work sad1.gif

Mathematics experts please help!!!!

use a 4th degree B-Spline function to interpolate -- will also ensure at least C^2 continuity at all intermediate points.
There is recursice deboor-cox formula that you can use to evaluate interpolating functions.
*



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. sad1.gif

Thanks for your efforts.
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unni
post Sep 5 2004, 04:20 AM
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C'lekha:

[/quote]

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. sad1.gif

Thanks for your efforts.
*

[/quote]

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

If you stop trying to make sense of it all, you'll be less confused. Reality is an illusion.
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anurag
post Sep 5 2004, 07:15 AM
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QUOTE(Chitralekha @ Sep 4 2004, 05:18 PM)
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. sad1.gif



Chitra, check your PM.

anurag

Socrates said, "The unexamined life is not worth living". I fear if I examined it, then according to Heisenberg uncertainty principle it would somehow change. After all, we are just particles.
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Wehshee
post Sep 14 2004, 11:59 PM
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good shot uni ! thumbs-up.gif
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vivekpm
post Sep 15 2004, 09:07 PM
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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,

V i V e K ...

--------------------------------------------



Education is a progressive discovery of our own ignorance.
-- Will Durant
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Chitralekha
post Sep 17 2004, 08:28 AM
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QUOTE(vivekpm @ Sep 15 2004, 08:37 AM)
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.
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