Charles Chui, Johan De Villiers

Wavelet Subdivision Methods

Gems for Rendering Curves and Surfaces

• Gebundenes Buch

Produktbeschreibung

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.

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Produktdetails

• Verlag: Taylor & Francis Ltd (Sales)
• Seitenzahl: 480
• Erscheinungstermin: 20. August 2010
• Englisch
• Abmessung: 245mm x 161mm x 28mm
• Gewicht: 820g
• ISBN-13: 9781439812150
• ISBN-10: 1439812152
• Artikelnr.: 29940720

Autorenporträt

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.

Inhaltsangabe

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.