1 Course 21: Manifolds and Modeling Monday 8:30-12:15 Cindy Grimm Media and Machines Lab Department of Computer Science and Engineering Washington University.

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Presentation transcript:

1 Course 21: 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 Siggraph 2005, 8/1/ 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 Siggraph 2005, 8/1/ 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 Siggraph 2005, 8/1/ Course material II 10:30-12:15 Building and parameterizing manifolds of common types E.g., sphere, torus Global parameterization of meshes Texture mapping Applications Animation Rendering Image-based rendering Background needed: Calculus Familiarity with graphics applications

5 Siggraph 2005, 8/1/ Course slides/notes

6 Siggraph 2005, 8/1/ 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 10:30-10:55: Manifold construction for specific domains [Cindy] 10:55-11:30: Parameterization [Denis] 11:30-12:05: Applications [Cindy] 12:05-12:15: Closing [Denis and Cindy]