CIS 610, Spring 2011
Advanced Geometric Methods in Computer Science
March 1, 2011
This version (Spring 2011) will be devoted mostly to
Manifolds, Riemannian Geometry, Lie Groups
And Harmonic Analysis
With Applications to Mesh Smoothing,
Mesh Simplification, Manifold Learning
After covering the necessary background material we will
consider various methods for
Constructing smooth manifolds from meshes
Computing discrete geodesics on meshes
Defining discrete versions of the Laplacian on meshes
Using versions of the discrete Laplacian to approximate
or smoothe meshes
Towne 307/27, Tuesday-Thursday, 4:30-6:00pm
Instructor: Jean H.
Gallier, GRW 476, 8-4405, firstname.lastname@example.org
There will be no official textbook(s) but I will use material from
several sources including my book (abbreviated as GMA)
Latex Tutorial (Especially Section 11):
A Word of Advice :
Expect to be held to high standards, and conversely!
In addition to transparencies, I will distribute
lecture notes. Please, read the course notes regularly, and
start working early on the problems sets. They will be hard!
Take pride in your work. Be clear, rigorous, neat, and concise.
Preferably, use a good text processor, such as LATEX, to
write up your solutions.
It is forbidden to use solutions of problems posted on the internet.
If you use resources other than the textbook (or the recommended textbooks)
or the class notes, you must cite these references.
I assume that you are all responsible adults.
Copying old solutions verbatim or blatantly
isomorphic solutions are easily detectable.
DO NOT copy solutions from old solution
sheets, from books, from solutions posted on the internet, or from friend!
Either credit will be split among the perpetrators, or worse!