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  • Format: ePub

Keeping mathematical derivations at an elementary level without sacrificing mathematical rigor, this book shows how to apply bottom-up wavelet algorithms to curve and surface editing. It covers both subdivision and wavelet analysis for generating and editing parametric curves and surfaces of desirable geometric shapes. The authors present their own novel wavelet subdivision schemes, cover subdivision schemes for parametric curve rendering, and extend curve subdivision to parametric surface rendering. Plenty of illustrative examples and over 300 end-of-chapter exercises help explain the algorithms and concepts.…mehr

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Produktbeschreibung
Keeping mathematical derivations at an elementary level without sacrificing mathematical rigor, this book shows how to apply bottom-up wavelet algorithms to curve and surface editing. It covers both subdivision and wavelet analysis for generating and editing parametric curves and surfaces of desirable geometric shapes. The authors present their own novel wavelet subdivision schemes, cover subdivision schemes for parametric curve rendering, and extend curve subdivision to parametric surface rendering. Plenty of illustrative examples and over 300 end-of-chapter exercises help explain the algorithms and concepts.

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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.