Subdivision for Modeling and Animation

11/9/98


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Table of Contents

Subdivision for Modeling and Animation

Organization

Speakers

Speakers

Speakers

Speakers

Speakers

Speakers

Foundations I: The Basic Ideas

20 Years of Subdivision

20 Years of Subdivision

Extraordinary Vertices

What is Subdivision?

Why Subdivision?

Subdivision in 1D

Demo

Subdivision in 1D

Demo

Subdivision in 2D

Subdivision in 2D

Comparison

The Basic Setup

The Basic Setup

Some Conditions I

Some Conditions II

Some Conditions III

Some Conditions IV

Details

Review of Splines

Defining B-Splines

Defining B-Splines

Refinability I

Refinability II

B-Spline Refinement

Spline Curves I

Spline Curves II

Spline Curves III

Refinement of Curves

Refinement of Curves

Subdivision Operator

Subdivision

Summary so far

Examples

Convergence

Continuous Limit

Convergence

Example

Example

Higher Orders

Example

4pt Scheme I

4pt Scheme II

So Far, So Good I

So Far, So Good II

More General Settings

Analysis

Neighborhoods

Example

Example

Eigen Analysis

Convergence

Affine Invariance

Geometric Behavior

Eigen Analysis

Author: Peter Schröder

Email: ps@cs.caltech.edu

Home Page: http://www.multires.caltech.edu/