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MathGroup Archive 1999

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Re: Interpolation[] problem

  • To: mathgroup at smc.vnet.net
  • Subject: [mg18522] Re: Interpolation[] problem
  • From: Attico Nicola <attico at cibs.sns.it>
  • Date: Thu, 8 Jul 1999 22:32:56 -0400
  • Organization: Universita' di Pisa
  • References: <7m14um$pls@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

> hi all,
> i've an incomprehensible problem with
> Interpolation[].
> I need to interpolate a two dimensional
> function z(x,y) and i've in a file
> the values of the functions in different
> points in the form:
> 
> x_i y_i z_i
>   
> (ive copied my file in attchmnt)
> 
> [contact the author to obtain the attachment -moderator]
> 
> Is important that the my grid is homogeneous
> in the y direction, but inhomogeneous along x.
> Im able to read data in a list with the
> command
> 
> ReadList["nomefile",Number,RecordLists->True]
> t=%
> 
> and now t is a list of the form:
> 
> {{x1,y1,z1},{x2,y2,z2},,....,{xN,yN,zN}}
> 
> So, i trie to interpolate 2-dimensionally
> with:
> 
> f=Interpolation[t]
> 
> as is specified in the manual but Mathematica refuse
> to work with the error:
> 
> Interpolation::indim: 
>                              -6       -6       -6
>    The coordinates {0., 1. 10  , 3. 10  , 6. 10  , 0.000011, <<24>>, 
>      3.553326, 5.196734} in dimension 1
>      are not consistent with other coordinates in this dimension.
> 
> maybe mathematica does not work with inhomogeneous grid.
> What can i do otherwise?

because the file is too long i would like to
post some line as example




0.000000 -1.000000 1.000000
0.000001 -1.000000 0.999999
0.000001 -1.000000 0.999998
0.000003 -1.000000 0.999996
0.000006 -1.000000 0.999991
0.000011 -1.000000 0.999982
0.000022 -1.000000 0.999965
0.000043 -1.000000 0.999932
0.000081 -1.000000 0.999872
0.000151 -1.000000 0.999762
0.000277 -1.000000 0.999566
0.000499 -1.000000 0.999222
0.000000 -0.900000 1.000000
0.000001 -0.900000 0.999999
0.000001 -0.900000 0.999998
0.000003 -0.900000 0.999996
0.000006 -0.900000 0.999991
0.000011 -0.900000 0.999982
0.000022 -0.900000 0.999965
0.000043 -0.900000 0.999932
0.000081 -0.900000 0.999872
0.000151 -0.900000 0.999762
0.000277 -0.900000 0.999566
etc etc.....

Thank you











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