coordinates of points on a rectangular grid

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

Answer 1

[Neil Traft]

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.

[ling li]

Very useful. Thank you!

Answer 2

[Image Analyst]

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.

[Bran]

ah OK I see, many thanks... any idea how to general basically a cubic lattice and get the coordinates for the points?

[Image Analyst]

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.