CS 468 -- Winter 2004
Introduction to Computational Topology
by Afra Zomorodian
Wednesdays, 12:30 - 2:00 PM |
Starting January 14th |
Gates 392 |
Course Lectures:
The emerging field of computational topology utilizes theory from topology and the power of computing to solving problems in diverse fields. Recent applications include computer graphics, computer-aided design [CAD], and structural biology. In each case, we are interested in understanding the intrinsic shape of some real or abstract space.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.
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}