# MATLAB Programming/Graphics

## 2D Graphics

### Plot

Plots a function in Cartesian coordinates, x and y.
Example:

```x=0:0.1:2;  % Creates a line vector from 0 to 2
fx=(x+2)./x.^2; % Creates fx
plot(x,fx,'-ok') % Plots 2D graphics of the function fx
```

To plot two or more graphs in one figure, simply append the second (x,y) pair to the first:

```>>>x1 = [1,2,3,4]
>>>y1 = [1,2,3,4]
>>>y2 = [4,3,2,1]
>>>plot(x1,y1,x1,y2)
```

This will plot y1 and y2 on the same x-axis in the output.

### Polar Plot

Plots a function using θ and r(θ)

```t = 0:.01:2*pi;
polar(t,sin(2*t).^2)
```

## 3D Graphics

### plot3

The "plot3" command is very helpful and makes it easy to see three-dimensional images. It follows the same syntax as the "plot" command. If you search the MATLAB help (not at the command prompt. Go to the HELP tab at the top of the main bar and then type plot3 in the search), you will find all the instruction you need.

Example:

```l=[-98.0556  ; 1187.074];
f=[ -33.5448 ; -240.402];
d=[ 1298     ; 1305.5]
plot3(l,f,d); grid on;
```

This example plots a line in 3D. I created this code in an M-file. If you do the same, change the values and hit the run button in the menu bar to see the effect.

### Mesh

Creates a 3D plot using vectors x and y, and a matrix z. If x is n elements long, and y is m elements long, z must be an m by n matrix.

Example:

```x=[0:pi/90:2*pi]';
y=x';
z=sin(x*y);
mesh(x,y,z);
```

### Contour

Creates a 2D plot of a 3D projection, using vectors x and y, and a matrix z. If x is n elements long, and y is m elements long, z must be an m by n matrix.

Example:

```x=[0:pi/90:2*pi]';
y=x';
z=sin(x*y);
contour(x,y,z);
```

### Contourf

Same as contour, but fills color between contour lines

### Surface

Basically the same as mesh