CS 468 - Fall 2002
Introduction to
Computational
Topology
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Afra Zomorodian
Gates 375
Time / Place: Wednesdays, 12:30-2 PM, in Gates 392
Date
Topics
Readings / Links (
BibTeX
)
Software
12/04
11. Presentations 2
See
Projects
page
11/27
10. Presentations 1
See
Projects
page
11/20
9. Morse Theory [
slides
]
Gert Vegter
's Animations:
Bulged Sphere
Torus Levels
Attaching a saddle
CView Demo
11/12
8. Topology of Point Cloud Data [
slides
]
Topological Persistence and Simplification
CView Demo
11/06
7. Computing Homology [
slides
]
Incremental Algorithm
Quad-Edge Code
Edge-Facet & Indexing Description
(Pages 26-39 from
Ernst Mücke's Thesis)
Triangle vs. Quad-Edge
Simplicial Homology
Triangle
10/30
6. Homology
(
pdf
) [
slides
]
10/23
5. Homotopy
(
pdf
) [
slides
]
Hilbert's Problems
Poincare' Conjecture
10/16
4. Group Theory
(
pdf
) [
slides
]
GAP
Kali
10/09
3. Simplicial Complexes
(
pdf
) [
slides
]
10/02
2. Surface Topology
(
pdf
) [
slides
]
Conway's ZIP Proof
The Optiverse
Outside In
09/25
0. Introduction
(
pdf
)
1. Point Set Topology
(
pdf
)
Emerging Challenges in Computational Topology
Computational Topology
CView Demo