coordinates of points on a rectangular grid

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Bran
Bran 2012-12-11
评论： ling li 2018-1-15
Hi there
I would like to find the coordinates for all lattice points on a 33x33x33 rectangular grid. So I want to have an output that gives me the (x,y,z) for each point on the grid. I tried to use meshgrid in the following way;
meshgrid(-1:0.0625:1, -1:0.0625:1, -1:0.0625:1)
however, I am struggling to interpret the output from this command.
any help would be greatly received. Many many thanks Bran

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回答（2 个）

Neil Traft
Neil Traft 2015-3-10
Well this is a pretty old post but I had the same question and I think you were unduly ignored.
What you were looking for is simply:
[x y z] = meshgrid(-1:0.0625:1, -1:0.0625:1, -1:0.0625:1);
coords = [x(:) y(:) z(:)];
This gives you a list where each row corresponds to a single vertex in the grid. This is useful when you want to iterate over each vertex and perform some operation on it. I used this to form a system of equations, one equation per vertex.
Image Analyst
Image Analyst 2012-12-11
It's a list of all the x, y, and z coordinates. Let's take a different perspective. Let's say you wanted a list of all the x, y, and z coordinates -- what kind of output would you like to see? Chances are that your answer to that question would pretty much match what meshgrid gives you.
  2 个评论
Bran
Bran 2012-12-11
ah OK I see, many thanks... any idea how to general basically a cubic lattice and get the coordinates for the points?
Image Analyst
Image Analyst 2012-12-11
If you want just 8 points that are the vertices of a cube, you'll have to construct that yourself. If you want more points in a different order, then again, you'll have to do it yourself.

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