Subdivision Surfaces

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Table of Contents

Subdivision Surfaces

Basic Idea

Examples

Rules

Cubic Spline Subdivision

Cubic Subdivision Matrix

Eigen Analysis

Eigen Analysis

Eigen Analysis

Eigen Analysis

Eigen Analysis

Eigen Analysis

Summary

Loop Scheme

Loop Scheme

Overview of Subdivision Schemes

Variational Subdivision

Variational Subdivision

Variational Subdivision

Loop Scheme

Modified Butterfly Scheme

Catmull-Clark Scheme

Catumull-Clark Scheme (cont)

Kobbelt Scheme

Kobbelt Scheme (cont)

Doo-Sabin and Midedge Schemes

Doo-Sabin and Midedge (cont)

Limitation of Stationary Subdivision

Subdivision Surfaces in Geriís Game

Hybrid Subdivision

Smooth Rules

Infinitely Sharp Creases

Cloth Simulation

Energy Functional

Collision

Building the Hierarchy

Texture Mapping

As applicable to mesh recognition

Author: lena petrovic

Email: lenap@cs.princeton.edu

Home Page: http://www.cs.princeton.edu/~lenap