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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