Articoli correlati a Stationary Subdivision
Sinossi
Subdivision methods in computer graphics constitute a large class of recursive schemes for computing curves and surfaces. They seem to have their origin in the geometric problem of smoothing the corners of a given polyhedral surface - in fact, these methods are sometimes called "wood carver" algorithms because the repeated smoothing operations are analogous to sculpting wood. This book presents a systematic development of the basic mathematical principles and concepts associated with stationary subdivision algorithms. The authors pay special attention to the structure of such algorithms in a multidimensional setting and analyse the convergence issue using appropriate tools from Fourier analysis and functional analysis. The analytic structure of the limiting curves and surfaces is revealed in two ways: the smoothness of these surfaces is determined by certain algebraic properties of the algorithm, while the highest order derivatives of the limiting surfaces are shown to be fractals. Scientists interested in computer graphics, splines, wavelets, and multiresolution analysis will find the analytic and algebraic tools developed here more than useful.
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Contenuti
Subdivision schemes; Convergence concepts and the associated functional equation; Contractivity of the subdivision operator; Subdivision from dimension compression; Solution of the functional equation; Algebraic properties of subdivision schemes; Matrix refinement equation; Smoothness of S-refinable functions and consequences.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
- EditoreAmer Mathematical Society
- Data di pubblicazione1991
- ISBN 10 0821825070
- ISBN 13 9780821825075
- RilegaturaCopertina flessibile
- Numero di pagine186
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Stationary Subdivision
Editore:
American Mathematical Society, 1991
ISBN 10: 0821825070
ISBN 13: 9780821825075
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Softcover
Da: Ammareal, Morangis, Francia
Valutazione del venditore 5 su 5 stelle
Softcover. Condizione: Bon. Ancien livre de bibliothèque. Petite(s) trace(s) de pliure sur la couverture. Légères traces d'usure sur la couverture. Salissures sur la tranche. Pages cornées. Edition 1991. Ammareal reverse jusqu'à 15% du prix net de cet article à des organisations car ENGLISH DESCRIPTION Book Condition: Used, Good. Former library book. Slightly creased cover. Slight signs of wear on the cover. Stains on the edge. Dog-eared pages. Edition 1991. Ammareal gives back up to 15% of this item's net price to charity organizations. Codice articolo E-852-020
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Memoirs Of The American Mathematical Society (Number 453)
ISBN 10: 0821825070
ISBN 13: 9780821825075
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Da: Basi6 International, Irving, TX, U.S.A.
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Condizione: Brand New. New. US edition. Expediting shipping for all USA and Europe orders excluding PO Box. Excellent Customer Service. Codice articolo ABEJUNE24-130558
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