Course 21: Manifolds and Modeling Monday 8:30-12:15

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Course 21 Manifolds and ModelingMonday
830-1215

• 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
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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

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Course material I 830-1015

• 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

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Course material II 1030-1215

• 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

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Course slides/notes

• www.cs.wustl.edu/cmg/Siggraph2005/siggraph.html

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Schedule

• 830-840 Introduction Cindy
• 840-915 Definitions Cindy
• 915-930 Why manifolds? Denis
• 930-1015 Manifold construction from meshes
  Denis and Cindy
• 1015-1030 Break
• 1030-1055 Manifold construction for specific
  domains Cindy
• 1055-1130 Parameterization Denis
• 1130-1205 Applications Cindy
• 1205-1215 Closing Denis and Cindy