【Advanced】MATLAB 3D Graphics Drawing: Functions like mesh, meshc, meshgrid, plot3, surf, surfc, waterfall, etc.
发布时间: 2024-09-13 16:01:25 阅读量: 8 订阅数: 26
# 1. Introduction to the `mesh` Function
The `mesh` function in MATLAB is used for plotting surface graphs. It draws the surface in a grid-like form, where each grid cell is composed of four vertices and two triangles. The basic syntax for the `mesh` function is as follows:
```
mesh(X, Y, Z)
```
Where:
* `X`, `Y`, and `Z` are the three matrices that define the surface grid.
* `X` and `Y` define the x and y coordinates of the grid.
* `Z` defines the z coordinates of the grid.
# 2. Surface Plotting
A surface plot is a three-dimensional graph that represents the shape of a surface. In MATLAB, surface plots can be created using the `mesh`, `meshc`, and `meshgrid` functions.
### 2.1 The `mesh` Function
**2.1.1 Basic Syntax and Parameters of the `mesh` Function**
The basic syntax for the `mesh` function is:
```
mesh(X, Y, Z)
```
Where:
* `X`, `Y`, and `Z` ***
***mon parameters for the `mesh` function include:
* `CData`: The data matrix specifying the surface colors.
* `FaceColor`: The color value specifying the surface color.
* `EdgeColor`: The color value specifying the surface edge color.
* `LineWidth`: The width of the surface edges.
**2.1.2 Example Usage of the `mesh` Function**
The following code example demonstrates how to use the `mesh` function to plot a surface:
```
% Define X, Y, and Z matrices
[X, Y] = meshgrid(-2:0.1:2);
Z = X.^2 + Y.^2;
% Plot surface
mesh(X, Y, Z);
```
Running this code will generate a surface plot with the equation `Z = X^2 + Y^2`.
### 2.2 The `meshc` Function
**2.2.1 Basic Syntax and Parameters of the `meshc` Function**
The basic syntax for the `meshc` function is:
```
meshc(X, Y, Z, C)
```
Where:
* `X`, `Y`, and `Z` are the three matrices that specify the shape of the surface.
* `C` ***
***mon parameters for the `meshc` function include:
* `FaceAlpha`: The value specifying the surface transparency.
* `FaceLighting`: Whether to enable surface lighting.
* `EdgeAlpha`: The value specifying the surface edge transparency.
* `EdgeLighting`: Whether to enable surface edge lighting.
**2.2.2 Example Usage of the `meshc` Function**
The following code example demonstrates how to use the `meshc` function to plot a colored surface:
```
% Define X, Y, Z, and C matrices
[X, Y] = meshgrid(-2:0.1:2);
Z = X.^2 + Y.^2;
C = Z; % Use Z matrix as color data
% Plot surface
meshc(X, Y, Z, C);
```
Running this code will generate a colored surface plot with the equation `Z = X^2 + Y^2`.
### 2.3 The `meshgrid` Function
**2.3.1 Basic Syntax and Parameters of the `meshgrid` Function**
The basic syntax for the `meshgrid` function is:
```
[X, Y] = meshgrid(x, y)
```
Where:
* `x` and `y` ***
***mon parameters for the `meshgrid` function include:
* `sparse`: Whether to return a sparse grid.
* `indexing`: The direction of grid indexing.
**2.3.2 Example Usage of the `meshgrid` Function**
The following code example demonstrates how to use the `meshgrid` function to generate a grid:
```
% Define x and y vectors
x = -2:0.1:2;
y = -2:0.1:2;
% Generate grid
[X, Y] = meshgrid(x, y);
```
Running this code will generate a grid with `x` and `y` vectors as grid points.
# 3. Three-Dimensional Wireframe Plotting
Three-dimensional wireframe plots are a common type of graph used to visualize three-dimensional data. MATLAB provides the `plot3` function to draw three-dimensional wireframe plots.
### 3.1 The `plot3` Function
#### 3.1.1 Basic Syntax and Parameters of the `plot3` Function
The basic syntax for the `plot3` function is as follows:
```matlab
plot3(x, y, z)
```
Where:
* `x`, `y`, and `z` are the three vectors specifying the points in
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