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Re: create a list with x,y,z coordinates

  • To: mathgroup at smc.vnet.net
  • Subject: [mg81778] Re: create a list with x,y,z coordinates
  • From: Donald DuBois <donabc at comcast.net>
  • Date: Wed, 3 Oct 2007 02:35:06 -0400 (EDT)

> Hi,
> I have a list of z-values:
> 
> zVals={13, 8, 15, 9, 15, 8, 11, 2, 18, 8, 5, 10, 11,
> 10, 9, 14, 6, 23, 
> 6, 14, 16, 5, 10, 5, 18, 10, 11, 10, 15, 8, 6, 23, 6,
> 17, 6, 12, 9, 17, 
> 4, 8, 18, 4, 18, 9, 13, 9, 14, 6, 10, 6, 5, 13, 5,
> 10, 6, 19, 8, 17, 9, 
> 16, 15, 5, 13, 5, 11, 9, 16, 2, 21, 11, 4, 15, 7, 10,
> 7, 16, 10, 14, 7, 
> 18, 17, 8, 15, 11, 14, 5, 14, 4, 13, 6, 8, 16, 8, 22,
> 8, 6, 9, 13, 5, 12}
> 
> These z-values are at grid points in a regularly
> spaced mesh, indices i 
> and j correspond to coordinates x and y,
> respectively. I can create the 
> mesh by
> 
> Table[{i,j},{i,0.05,1,0.1},{j,0.05,1,0.1}]
> 
> What is the best way in mathematica to "append" the
> z-values to the 
> (x,y)values?
> I know that they are in order corresponding to the
> (x,y)values; that is 
> 13 corresponds to (0.05,0.05) and 12 corresponds to
> (0.95,0.95).
> 
> Thanks for your help,
> Claus
> 

Claus,

Given:

zVals = {13, 8, 15, 9, 15, 8, 11, 2, 18, 8, 5, 10, 11, 10, 9, 14, 6, 
   23, 6, 14, 16, 5, 10, 5, 18, 10, 11, 10, 15, 8, 6, 23, 6, 17, 6, 
   12, 9, 17, 4, 8, 18, 4, 18, 9, 13, 9, 14, 6, 10, 6, 5, 13, 5, 10, 
   6, 19, 8, 17, 9, 16, 15, 5, 13, 5, 11, 9, 16, 2, 21, 11, 4, 15, 7, 
   10, 7, 16, 10, 14, 7, 18, 17, 8, 15, 11, 14, 5, 14, 4, 13, 6, 8, 
   16, 8, 22, 8, 6, 9, 13, 5, 12};

xyVals = Table[{i, j}, {i, 0.05, 1, 0.1}, {j, 0.05, 1, 0.1}];

This will join each element of zVals to the appropriate
element in xyVals:

f[xyPair_List, zValue_] := Join[xyPair, {zValue}] 
MapThread[f, { Flatten[xyVals, 1], zVals}]

Regards,
Don


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