Wavelet Subdivision Methods: GEMS for Rendering Curves and Surfaces, 1st Edition (e-Book) book cover

Wavelet Subdivision Methods

GEMS for Rendering Curves and Surfaces, 1st Edition

By Charles Chui

CRC Press

479 pages

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Hardback: 9781439812150
pub: 2010-08-23
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eBook (VitalSource) : 9780429130038
pub: 2010-08-23
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Description

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

Table of Contents

OVERVIEW. BASIS FUNCTIONS FOR CURVE REPRESENTATION. CURVE SUBDIVISION SCHEMES. BASIS FUNCTIONS GENERATED BY SUBDIVISION MATRICES. QUASI-INTERPOLATION. CONVERGENCE AND REGULARITY ANALYSIS. ALGEBRAIC POLYNOMIAL IDENTITIES. INTERPOLATORY SUBDIVISION. WAVELETS FOR SUBDIVISION. SURFACE SUBDIVISION. EPILOGUE. SUPPLEMENTARY READINGS. INDEX.

About the Author

Charles Chui is a Curators' Professor in the Department of Mathematics and Computer Science at the University of Missouri in St. Louis, and a consulting professor of statistics at Stanford University in California. Dr. Chui's research interests encompass applied and computational mathematics, with an emphasis on splines, wavelets, mathematics of imaging, and fast algorithms.

Johan de Villiers is a professor in the Department of Mathematical Sciences, Mathematics Division at Stellenbosch University in South Africa. Dr. de Villiers's research interests include computational mathematics, with an emphasis on wavelet and subdivision analysis.

Subject Categories

BISAC Subject Codes/Headings:
COM012000
COMPUTERS / Computer Graphics
MAT003000
MATHEMATICS / Applied
MAT012000
MATHEMATICS / Geometry / General