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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 covers both subdivision and wavelet analysis for generating and editing parametric curves and surfaces of desirable geometric shapes 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 It comprehensively details subdivision schemes for parametric curve rendering, offering complete algorithms for implementation and theoretical development as well as detailed examples of the most commonly used schemes for rendering both open and closed curves It also develops an existence and regularity theory for the interpolatory scaling function and extends cardinal B splines to box splines for surface subdivision 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 offers an accessible approach to subdivision methods that integrates the techniques and algorithms of bottom up wavelets....

Title : Wavelet Subdivision Methods: GEMS for Rendering Curves and Surfaces
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ISBN : 1439812152
Format Type : Hardcover
Language : English
Publisher : CRC Press 1 edition August 23, 2010
Number of Pages : 479 pages
File Size : 881 KB
Status : Available For Download
Last checked : 21 Minutes ago!

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