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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

8:55 Implicit Surfaces that Interpolate

O'Brien

9:30 Radial Spline Theory

Hart

10:15 Break
10:30 Compactly Supported RBFs in Implicit Surface Management

Yoo

11:25 Implicit Modeling with PDE-based Techniques

Du

12:15 Lunch
1:45 Multi-level Partition of Unity Implicits (MPUs)

Alexa

2:40 Implicit Moving Least Squares Surfaces (IMLS)

O'Brien

3:30 Break
3:45 Medical Applications of Implicit Surfaces

Yoo

4:30 Wickbert: An Open-Source Interactive Implicit Surface Modeler

Hart

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