Wednesdays, 12:30 - 2:00 PM | |
Starting January 14th | |
Gates 392 |
The primary goal of the course is to present basic concepts from topology to enable a non-specialist to grasp and participate in current research in computational topology. As such, this course will not be a readings course in computational topology. Rather, it will present mathematics from a computer scientist's point of view. Toward the end of the course, we will examine recent papers in computational topology.
I assume mathematical sophistication and familiarity with
programming. However, I do not assume background in topology.
introduction
(ps)
{1-14-4}
point set topology
(ps)
[slides]
{1-14-4}
surface topology
(ps)
[slides]
+ Conway's ZIP
{1-21-4}
simplicial complexes
(ps)
[slides]
{1-28-4}
group theory
(ps)
[slides]
{2-04-4}
homotopy
(ps)
[slides]
{2-11-4}
homology
(ps)
[slides]
{2-18-4}
computing homology
[slides]
{2-25-4}
topology of point cloud data
[slides]
{3-03-4}
Morse theory
[slides]
{3-10-4}
Isosurface Topology Simplification by Wood et al. presented by Chand John [slides (ppt)] | {3-10-4} | |
Topology Matching for fully Automatic Similarity Estimation of 3D Shapes by Hilaga et al. presented by Kris Hauser [slides (ppt)] | {3-17-4} | |
Optimally cutting a surface into a disk by Erickson and Har-Peled presented by Nikola Milosavljevic [slides] | {3-17-4} |
Max Eversion Paper [1977] | |
Outside In [1994] | |
The Optiverse [1998] | |
Thurston, W. P. and Weeks, J. R. The Mathematics of Three-dimensional Manifolds. Scientific American, 251(1), 1984. (Distributed in class) |