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21. Manifolds and Modeling


Half-Day, Monday, 1 August, 8:30 am - 12:15 pm
Room 501AB
Level: Advanced

What do the configuration space of an animation skeleton, a subdivision surface, and a lightfield have in common? All of these are examples of manifolds. This course presents an overview of manifold constructions useful for graphics applications, with a focus on two-dimensional manifolds.

Prerequisites


The course is mostly self-contained. Mathematical prerequisites are basic calculus, complex numbers, and vector and matrix algebra. General familiarity with graphics research is helpful, but not required.

Intended Audience


Researchers from academia and industry who are interested in learning techniques for constructing manifolds and applying these techniques to different research areas in graphics.

Co-Organizers


Cindy Grimm
Washington University in St. Louis

Denis Zorin
New York University

Schedule



8:30 Introduction

Grimm

8:45 What is a Manifold?

Grimm

9:15 Advantages of Using Manifolds

Zorin

9:30 Building Manifolds From Meshes

Grimm and Zorin

10:15 Break
10:30 Building Manifolds From Canonical Domains

Grimm

10:55 Surface Parameterization and Manifolds

Zorin

11:30 Applications in Graphics and Vision

Grimm

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