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<div class="title">NDGRID Generate N-Dimensional Grid </div> </div>
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<div class="textblock"><p>Section: <a class="el" href="sec_array.html">Array Generation and Manipulations</a> </p>
<h1><a class="anchor" id="Usage"></a>
Usage</h1>
<p>Generates N-dimensional grids, each of which is constant in all but one dimension. The syntax for its use is either </p>
<pre class="fragment"> [y1, y2, ..., ym] = ndgrid(x1, x2, ..., xn)
</pre><p> where <code>m <= n</code> or </p>
<pre class="fragment"> [y1, y2, ..., ym] = ndgrid(x1)
</pre><p> which is equivalent to the first form, with <code>x1=x2=...=xn</code>. Each output <code>yi</code> is an <code>n</code>-dimensional array, with values such that </p>
<p class="formulaDsp">
<img class="formulaDsp" alt="\[ y_i(d_1,\ldots,d_{i-1},d_{i},d_{i+1},\ldots,d_m) = x_i(d_{i}) \]" src="form_4.png"/>
</p>
<p> <code>ndgrid</code> is useful for evaluating multivariate functionals over a range of arguments. It is a generalization of <code>meshgrid</code>, except that <code>meshgrid</code> transposes the dimensions corresponding to the first two arguments to better fit graphical applications. </p>
<h1><a class="anchor" id="Example"></a>
Example</h1>
<p>Here is a simple <code>ndgrid</code> example</p>
<pre class="fragment">--> [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
</pre><p>Here we use the second form</p>
<pre class="fragment">--> [a,b,c] = ndgrid(1:3)
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
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