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

• To: mathgroup at smc.vnet.net
• Subject: [mg81584] Re: create a list with x,y,z coordinates
• From: dh <dh at metrohm.ch>
• Date: Fri, 28 Sep 2007 02:14:25 -0400 (EDT)
• References: <fdf2ol\$2i7\$1@smc.vnet.net>

Hi Claus,

assume we have a matrix with xy values: XY and a vector with z values:

Z. First we Flatten XY to a list of xy pairs. Then we append to every

pair the corresponding z value. Finally we restructure the matrix:

hope this helps, Daniel

Claus wrote:

> 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).

>