Mesh Surface Plot in MATLAB
Mesh Surface Plot is used to depict f(X, Y, Z) in a three-dimensional space. Matlab allows users to create mesh surface plots using the mesh() method.
Different syntax of mesh() method are:
- Mesh(X, Y, Z)
- Mesh(Z)
- Mesh(___,C)
- Mesh(___, Name, Value)
- S = mesh()
- Mesh(ax,____)
Mesh(X, Y, Z)
- It plots X, Y, Z on a three-dimensional surface.
- Matrices X, Y are plotted along the x-y plane and plots matrix Z as height above the x-y plane.
- If size(Z) = [m, n], then X should be of the same size as Z or a vector of size n.
- Y should be the same size as Z or a vector of size m.
Example:
Matlab
% Define matrix of size 2*10 Z = [1:10; 1:10]; % Define vector Y of size 2 Y = [1 2]; % Define vector X of size 10 X = [1:10]; % Plot mesh surface mesh(X,Y,Z) |
Output :
Mesh(Z)
It creates a mesh surface plot with matrix Z by considering column and row indices as x and y-coordinates respectively.
Example:
Matlab
% Creates a random matrix of size 2*10 Z = randi(2,10); % Plot a mesh surface mesh(Z) |
Output :
Mesh(___, C)
- It creates a mesh surface plot with the specified color of edges as C.
- C is an m-by-n-by-3 of RGB array where Z is a matrix of size m-by-n.
Example:
Matlab
% Creates a meshgrids X and Y of same size [X,Y] = meshgrid(2:.7:11); % Create matrix Z as same size of X Z = cos(X)./X; % Create a color matrix C = X.*Y; % Plotting mesh surface mesh(X,Y,Z,C) |
Output :
Mesh(___, Name, Value)
- It creates a mesh surface plot with the specified Name-Value pair arguments.
- Some properties are Face Alpha, Edge Color, Line Style etc.
Example:
Matlab
% Create meshgrids X and Y of same size [X,Y] = meshgrid(4:.2:20); % Create matrix Z Z = X.*Y - sin(X); % Create mash plot with FaceAlpha and EdgeColor mesh(X,Y,Z, 'FaceAlpha' , '0.5' , 'EdgeColor' , 'flat' ) |
Output :
S = mesh(___)
- It creates a mesh plot with specified variables and returns the chart surface objects of the mesh plot.
- You can modify the mesh plot even after creating the plot using the variables.
Example 1:
Matlab
% Creates meshgrids X and Y of same size [X,Y] = meshgrid(1:.2:3); % Initialize Z as of same size of X Z = X - Y.*X; % Plot the mesh plot with X,Y,Z of linestyle = '--' % We can change surface properties of using variable s s = mesh(X,Y,Z, "LineStyle" , '--' ) |
Output :
Properties of mesh plot :
Example 2:
Matlab
% MATLAB code for creates meshgrids % X and Y of same size [X,Y] = meshgrid(1:.2:3); % Initialize Z as of same size of X Z = X - Y.*X; % Plot the mesh plot with X,Y,Z of linestyle = '-' and Facecolor. s = mesh(X,Y,Z) s.LineStyle = '-' ; s.FaceColor = '[1 0.7 0]' |
Output :
Mesh(ax,______)
This function is used to specify axes in the mesh plot instead of current axes.
Matlab
% MATLAB code for mesh(ax,___) % [X,Y] = meshgrid(-10:.8:4); R = sqrt(X.^2 + Y.^2) + eps; Z = sin(R)./R; mesh(axes,X,Y,Z) |
Output:
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