Wavelet Subdivision Methods

Wavelet Subdivision Methods
-0 %
Gems for Rendering Curves and Surfaces
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Artikel-Nr:
9781439812150
Veröffentl:
2010
Erscheinungsdatum:
20.08.2010
Seiten:
480
Autor:
Charles Chui
Gewicht:
820 g
Format:
245x161x28 mm
Sprache:
Englisch
Beschreibung:

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.
The authors develop a complete constructive theory and effective algorithms to derive synthesis wavelets with minimum support and any desirable order of vanishing moments, along with decomposition filters. Through numerous examples, the book shows how to represent curves and construct convergent subdivision schemes.
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.

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