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Article #20

5 Dimensional Interpolation algorithm

#20
From: Ramesh S Guzar
Date: Wed, 20 Oct 1999 00:00
38 lines
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Hi,

I have a Parameter "Z" which depends on 5 independent variables
l, m, n , o and p.
A1, A2 ......An are the values of Z for (l1,m1,n1,o1,p1) .....
to (ln,mn,nn,on,pn) co-ordinates.

Is there any method to interpolate between these points ? Can we
have an equation for "Z" Interms of the exisiting A1...An values
and the independent variables so that we can get the Value of
Z for any set of l,m,n,o,p ? What should be the minimum number of
values (A1....An) that will be required , and what will be the
hit on accuracy ?

Pictorially, the above looks like,




        ^ Z
        |               A2    . .  . . . .  An
        |      A1 . . . . . . . . .. . A3
        |               A32     A29 . . . . 
        |               
    n   |   m           A5      A6      
     \  |  /     
      \ | /          A7......A8
       \|/
        *-------------------------------->l
       / \
      /   \
     /     \
    o       p

Thanks for your time,

Thanks and best regards,
Ramesh
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From: Ramesh S Guzar <ramesh@india.ti.com>
Subject: 5 Dimensional Interpolation algorithm
Date: 1999/10/20
Message-ID: <380D9924.F07C58BB@india.ti.com>
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