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Article #205 Dimensional Interpolation algorithm
From: Ramesh S Guzar
Date: Wed, 20 Oct 1999 00:00
Date: Wed, 20 Oct 1999 00:00
38 lines
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2018 bytes
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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X-Google-Language: ENGLISH,ASCII-7-bit X-Google-Thread: f458d,aac74f96f81d5f31,start X-Google-Attributes: gidf458d,public X-Google-Thread: 1130d6,aac74f96f81d5f31,start X-Google-Attributes: gid1130d6,public X-Google-Thread: 10d67e,aac74f96f81d5f31,start X-Google-Attributes: gid10d67e,public X-Google-Thread: f5482,aac74f96f81d5f31,start X-Google-Attributes: gidf5482,public From: Ramesh S Guzar <ramesh@india.ti.com> Subject: 5 Dimensional Interpolation algorithm Date: 1999/10/20 Message-ID: <380D9924.F07C58BB@india.ti.com> X-Deja-AN: 538370370 Content-Transfer-Encoding: 7bit X-Accept-Language: en Content-Type: text/plain; charset=us-ascii X-Complaints-To: usenet@news.dal.asp.ti.com X-Trace: sarek.dal.asp.ti.com 940415269 4175 157.87.96.60 (20 Oct 1999 10:27:49 GMT) Organization: ASIC Product Devlopment Center Mime-Version: 1.0 NNTP-Posting-Date: 20 Oct 1999 10:27:49 GMT Newsgroups: uk.education.maths,aus.mathematics,alt.math.recreational,alt.algebra.help