NDGRID Generate N-Dimensional Grid

Section: Array Generation and Manipulations

Usage

Generates N-dimensional grids, each of which is constant in all but one dimension. The syntax for its use is either 
   [y1, y2, ..., ym] = ndgrid(x1, x2, ..., xn)

where m <= n or 

   [y1, y2, ..., ym] = ndgrid(x1)

which is equivalent to the first form, with x1=x2=...=xn. Each output yi is an n-dimensional array, with values such that

ndgrid is useful for evaluating multivariate functionals over a range of arguments. It is a generalization of meshgrid, except that meshgrid transposes the dimensions corresponding to the first two arguments to better fit graphical applications.

Example

Here is a simple ndgrid example 
--> [a,b] = ndgrid(1:2,3:5)
a = 
 1 1 1 
 2 2 2 

b = 
 3 4 5 
 3 4 5 

--> [a,b,c] = ndgrid(1:2,3:5,0:1)
a = 

(:,:,1) = 
 1 1 1 
 2 2 2 

(:,:,2) = 
 1 1 1 
 2 2 2 

b = 

(:,:,1) = 
 3 4 5 
 3 4 5 

(:,:,2) = 
 3 4 5 
 3 4 5 

c = 

(:,:,1) = 
 0 0 0 
 0 0 0 

(:,:,2) = 
 1 1 1 
 1 1 1

Here we use the second form 

--> [a,b,c] = ndgrid(1:3)
Warning: Newly defined variable nargin shadows a function of the same name.  Use clear nargin to recover access to the function
a = 

(:,:,1) = 
 1 1 1 
 2 2 2 
 3 3 3 

(:,:,2) = 
 1 1 1 
 2 2 2 
 3 3 3 

(:,:,3) = 
 1 1 1 
 2 2 2 
 3 3 3 

b = 

(:,:,1) = 
 1 2 3 
 1 2 3 
 1 2 3 

(:,:,2) = 
 1 2 3 
 1 2 3 
 1 2 3 

(:,:,3) = 
 1 2 3 
 1 2 3 
 1 2 3 

c = 

(:,:,1) = 
 1 1 1 
 1 1 1 
 1 1 1 

(:,:,2) = 
 2 2 2 
 2 2 2 
 2 2 2 

(:,:,3) = 
 3 3 3 
 3 3 3 
 3 3 3