What does meshgrid mean in matlab

What does meshgrid mean in matlab?

meshgrid is a function in MATLAB (an application software) used to generate grid sampling points. It has a wide range of applications in using MATLAB for 3D graphics rendering.

Function function

Generate the grid data required to draw 3D graphics. When performing drawing operations on a computer, some sampling points are often required, and then the entire graphic is drawn based on these sampling points. When performing 3D drawing operations, three sets of data are involved: x, y, and z. The two sets of data x and y can be regarded as the coordinate pair (x, y)

For example, if you want to draw a 3D graphic in the area of ​​"3<=x<=5, 6<=y<=9, z is not limited to the interval", if you only need integer coordinates as sampling points. We may need a matrix composed of coordinates like the following:

(3,9),(4,9),(5,9);
(3,8),(4,8),(5,8);
(3,7),(4,7),(5,7);
(3,6),(4,6),(5,6);

In matlab, we can describe this coordinate matrix like this:

Independently separate the x coordinates of each point, we get:

3,4,5;
3,4,5;
3,4,5;
3,4,5;

Then separate the y coordinates of each point:

9,9,9;
8,8,8;
7,7,7;
6,6,6;

The corresponding x and y combination represents the above coordinate matrix. Meshgrid generates two matrices like this to simplify our operations. Then calculate z based on (x, y) and draw a three-dimensional graph.

Type type meshgrid in the Matlab command window to view the source code of the function (so you can understand the algorithm idea of ​​meshgrid). Type doc meshgrid or help meshgrid to get the help documentation.

Syntax

[X,Y] = meshgrid(x,y)

Explanation: The value of each row of output X is the copied value of x; the value of each column of output Y is the copied value of y.

[X,Y]=meshgrid(x) is equivalent to [X,Y]=meshgrid(x,x)

[X,Y,Z]=meshgrid(x, y,z) generates a three-dimensional array, which can be used to calculate functions of three variables and draw three-dimensional stereograms

Related functions: plot3, mesh, surf, automesh, ndgrid

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