This is a continuation of Matlab: Lorentz Attractor, however, these methods can be applied to any line plot or collection of points.
A slightly more aesthetically pleasing representation of the Lorentz Attractor can be achieved by adding
axis off. And altering the view’s azimuth and elevation:
Now we’re talking. Let’s say I want to make a surface or mesh from this dandy line plot. Using
mesh will throw an error, since x, y, and z are all 1D vectors! Whatever shall we do!
Never fear, mathematicians will save the day.
Delaunay created a sweet method of triangulating points. If we treat this line plot as a collection of points, we can triangulate to find an approximate surface.
tri = delaunay(x,y); plot(x,y,'.') %determine amount of triangles [r,c] = size(tri); disp(r) %plot with trisurf h = trimesh(tri, x, y, z, 'FaceAlpha', 0.6); alpha = 0.4 view(15, 48) axis vis3d axis off l = light('Position',[-50 -15 29]) lighting phong shading interp
What if we’d like a surface instead of the mesh? Then we’ll change
trisurf add transparency (
alpha = 0.7) and find: