Octave Sombrero

Octave Sombrero is a 3D surface plot that is commonly used to visualize data and mathematical functions. The plot resembles a sombrero with a circular brim and a cone-shaped top.

How to Create an Octave Sombrero

To create an Octave Sombrero, we first need to generate some sample data. We can use the following code to generate a grid of points:

x = linspace(-2, 2, 50);
y = linspace(-2, 2, 50);

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

Next, we can use the peaks function to generate a Z-value for each point on the grid. The peaks function creates a 3D surface with peaks and valleys that is commonly used to test algorithms for optimization and sensitivity analysis.

Z = peaks(X, Y);

Finally, we can use the surf function to create a 3D surface plot of the data.

surf(X, Y, Z);

This will create a standard Octave Sombrero plot.

Customizing the Octave Sombrero

We can customize the appearance of the Octave Sombrero by changing the colormap, lighting, and shading. We can also change the viewing angle and add labels to the axes.

colormap(jet)  % change colormap
shading interp  % change shading

xlabel('X')  % add x-label
ylabel('Y')  % add y-label
zlabel('Z')  % add z-label

view(30, 60)  % change viewing angle
lightangle(-45, 30)  % change lighting angle
lighting gouraud  % change lighting

These commands will change the appearance of the Octave Sombrero to our preferences.

Conclusion

Octave Sombrero is a powerful tool for visualizing 3D data and mathematical functions. With the right customization, we can create stunning and informative plots that aid our analysis and understanding of complex data.