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Course 13: Manifolds and ModelingMonday 8:30-12:15

Cindy Grimm

Media and Machines LabDepartment of Computer Science and

EngineeringWashington University in St. Louis

Denis Zorin

Media Research LaboratoryComputer Science Department

Courant Institute of MathematicsNew York University

2 Siggraph 2006, 7/31/2006www.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 Siggraph 2006, 7/31/2006www.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 Siggraph 2006, 7/31/2006www.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 Siggraph 2006, 7/31/2006www.cs.wustl.edu/~cmg

Course slides/notes

•www.cs.wustl.edu/~cmg• Talks/papers

6 Siggraph 2006, 7/31/2006www.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]