1. 1 Course 13: Manifolds and Modeling Monday 8:30-12:15 Cindy Grimm Media and Machines Lab Department of Computer Science and Engineering Washington University in St. Louis Denis Zorin Media Research Laboratory Computer Science Department Courant Institute of Mathematics New York University

2. 2 Siggraph 2006, 7/31/2006 www.cs.wustl.edu/~cmg What should you get out of this course? Understand and apply basic concepts Surface modeling Other applications Math Basic ideas and intuition Formalism where it makes sense English

3. 3 Siggraph 2006, 7/31/2006 www.cs.wustl.edu/~cmg Course material I 8:30-10:15 Manifold concepts and terms Descriptive (what it means for an object to be manifold) Constructive (how do I build one?) Concrete, simple examples What makes manifolds useful? Surface modeling using manifolds Building an embedded surface Background needed: Basic math skills Meshes, splines, subdivision surfaces

4. 4 Siggraph 2006, 7/31/2006 www.cs.wustl.edu/~cmg Course material II 10:30-12:15 Applications Image-based rendering Environment maps, BRDFs Animation Surfaces Modeling, fitting Consistent parameterization Multiple parameterization Global parameterization of meshes Texture mapping Background needed: Calculus Familiarity with graphics applications

5. 5 Siggraph 2006, 7/31/2006 www.cs.wustl.edu/~cmg Course slides/notes www.cs.wustl.edu/~cmg Talks/papers

6. 6 Siggraph 2006, 7/31/2006 www.cs.wustl.edu/~cmg Schedule 8:30-8:40: Introduction [Cindy] 8:40-9:15: Definitions [Cindy] 9:15-9:30: Why manifolds? [Denis] 9:30-10:15: Manifold construction from meshes [Denis and Cindy] 10:15-10:30: Break 10:30-10:50: Applications, general [Cindy] 10:50-11:30: Applications, surface [Cindy] 11:30-12:05: Parameterization [Denis] 12:05-12:15: Closing [Denis and Cindy]