ABSTRACT

Prevalent in animation movies and interactive games, subdivision methods allow users to design and implement simple but efficient schemes for rendering curves and surfaces. Adding to the current subdivision toolbox, Wavelet Subdivision Methods: GEMS for Rendering Curves and Surfaces introduces geometry editing and manipulation schemes (GEMS) and co

chapter Chapter 1|36 pages

Overview

chapter Chapter 2|38 pages

Basis Functions for Curve Representation

chapter Chapter 3|58 pages

Curve Subdivision Schemes

chapter Chapter 4|36 pages

Basis Functions Generated by Subdivision Matrices

chapter Chapter 5|36 pages

Quasi-Interpolation

chapter Chapter 6|66 pages

Convergence and Regularity Analysis

chapter Chapter 7|24 pages

Algebraic Polynomial Identities

chapter Chapter 8|44 pages

Interpolatory Subdivision

chapter Chapter 9|72 pages

Wavelets for Subdivision

chapter Chapter 10|34 pages

Surface Subdivision

chapter Chapter 11|4 pages

Epilogue