HOMEWORK 5 (DUE 04/02/2020)
Problem 1. (2pt) Compute and plot first 10 Laplace-Beltrami basis functions for
5 surfaces of your choice.
Problem 2. (4pt) Compute the GPS coordinates at every point of the surface
mesh using:
Ignore the eigenfunction corresponding to 0 eigenvalue for this problem.
Segment this shape into 4 regions using k-means clustering on the GPS coordinates.
Problem 3. (4pt) Project the 3D coordinates (x,y,z) of each of these surfaces
on 2% basis functions, 10% basis functions, 30% basis functions and 70% basis
functions and show the reconstructed surfaces. (i.e. e.g. if you have a surface with
1000 vertices, then you use 20, 100, 300 and 700 basis functions respectively).