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13. Modern Techniques for Implicit Modeling
Full-Day, Sunday, 31 July, 8:30 am - 5:30 pm
Room 511AB
Level: Intermediate
Recent developments in modern implicit surfaces, particularly the use of radial-basis functions, MPUs, and digital Morse theory, plus examples of real-world applications from shape transformation to medical modeling. Lectures include the mathematics of implicit modeling and some formal treatment of smoothness issues and sampling analysis for constrained, interpolating, implicit surfaces. Attendees will acquire an overview of the techniques, a better understanding of the mathematics, an introduction to real-world applications, and a primer on open-source software that is freely available for modeling with implicit surfaces.
Prerequisites
A good working knowledge of basic graphics techniques. Attendees should not be easily frightened by terms such as "partial differential equations," "radial basis functions," or "line integral." Familiarity with basic implicit-surface techniques is useful, but not necessary.
Intended Audience
People who want to use implicit surfaces to model something other than goo (not that there's anything wrong with goo).
Co-Organizers
James F. O'Brien
University of California, Berkeley
Terry S. Yoo
National Library of Medicine, NIH
Lecturers
Marc Alexa
Technische Universität Darmstadt
Haixia Du
National Library of Medicine, NIH
John C. Hart
University of Illinois at Urbana-Champaign
Schedule
| 8:30 |
Welcome, Introduction to Implicit Modeling
Yoo
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| 8:55 |
Implicit Surfaces that Interpolate
O'Brien
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| 9:30 |
Radial Spline Theory
Hart
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| 10:15 |
Break
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| 10:30 |
Compactly Supported RBFs in Implicit Surface Management
Yoo
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| 11:25 |
Implicit Modeling with PDE-based Techniques
Du
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| 12:15 |
Lunch
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| 1:45 |
Multi-level Partition of Unity Implicits (MPUs)
Alexa
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| 2:40 |
Implicit Moving Least Squares Surfaces (IMLS)
O'Brien
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| 3:30 |
Break
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| 3:45 |
Medical Applications of Implicit Surfaces
Yoo
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| 4:30 |
Wickbert: An Open-Source Interactive Implicit Surface Modeler
Hart
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