[Scilab-users] 4D gridding and interpolation of scattered data points

shorne at energetiq.com shorne at energetiq.com
Mon Jun 3 17:51:54 CEST 2013


This is in general a nontrivial problem.

One approach is here - -

http://www.netlib.org/toms/905

 
ref:  
TOMS 37,3 (Sep 2010) Article: 34
 
for:  
{SHEPPACK}: Modified {Shepard} Algorithm for Interpolation of Scattered 
Multivariate Data
 
by:  
William I. Thacker, Jingwei Zhang, Layne T. Watson, Jeffrey B. Birch, 
Manjula A. Iyer and Michael W. Berry

If this is what you need, it's not hard to hook the fortran code into 
scilab.

If you expect that your data can be fit with a global polynomial, you can 
do that "by hand "in a straightforward way,
since each basis function is continuous and spans your space.  It's much 
harder when your basis functions
are piecewise.









Ariel <a.dgraaf at krohne.com> 
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06/03/2013 10:22 AM
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Re: [Scilab-users] 4D gridding and interpolation of     scattered data 
points






> Do you mean that he V values you have are not placed on a 3d grid, 
> but on randomly scattered (x, y, z) points?
 
Exactly. I have randomly scattered (x,y,z) points with corresponding value 
V and I want to map those points onto a regular grid with the interpolated 
(or averaged) value V.
 
Kind regards
Ariël de Graaf
 


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