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Mathematical Aspects of Geometric Modeling (CBMS-NSF Regional Conference Series in Applied Mathematics, Series Number 65) - Softcover
Synopsis
This monograph examines in detail certain concepts that are useful for the modeling of curves and surfaces and emphasizes the mathematical theory that underlies these ideas. The two principal themes of the text are the use of piecewise polynomial representation (this theme appears in one form or another in every chapter), and iterative refinement, also called subdivision. Here, simple iterative geometric algorithms produce, in the limit, curves with complex analytic structure. In the first three chapters, the de Casteljau subdivision for Bernstein-Bezier curves is used to introduce matrix subdivision, and the Lane-Riesenfield algorithm for computing cardinal splines is tied into stationary subdivision. This ultimately leads to the construction of prewavelets of compact support. The remainder of the book deals with concepts of "visual smoothness" of curves, along with the intriguing idea of generating smooth multivariate piecewise polynomials as volumes of "slices" of polyhedra.
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Mathematical Aspects of Geometric Modeling (CBMS-NSF Regional Conference Series in Applied Mathematics 65)
Published by
Society for Industrial and Applied Mathematics, 1995
ISBN 10: 0898713315
ISBN 13: 9780898713312
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Mathematical Aspects of Geometric Modeling
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Society for Industrial & Applied, Philadelphia, Pennsylvania, U.S.A., 1995
ISBN 10: 0898713315
ISBN 13: 9780898713312
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Trade Paperback. Condition: Near Fine. First. This is a near fine trade paperback copy. CBMS.NSF Regional Conference Series in Applied Mathematics #65. Seller Inventory # 025404
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Mathematical Aspects of Geometric Modeling
Published by
Society for Industrial and Applied Mathematics, 1987
ISBN 10: 0898713315
ISBN 13: 9780898713312
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Condition: Trčs bon. Mathematical Aspects of Geometric Modeling | C.A. Micchelli | Society for industrial and applied mathematics, 1995, in-8 broché, 256 pages. Couverture propre. Dos solide. Intérieur frais. Exemplaire de bibliothčque : petit code barre en pied de 1re de couv., cotation au dos, rares et discrets petits tampons ŕ l'intérieur de l'ouvrage. Bel état ! [BT38] Pour les expéditions internationales, nous consulter au préalable pour l ajustement des frais de port qui seront peut-ętre revus ŕ la baisse/ For international shipments, please contact us in advance to adjust shipping costs. |. Seller Inventory # 2J-WUUD-CG2X
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Mathematical Aspects of Geometric Modelling
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MP-SIA SIAM - Society for Industrial and Applied M, 1994
ISBN 10: 0898713315
ISBN 13: 9780898713312
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Mathematical Aspects of Geometric Modelling
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Society for Industrial & Applied, 1994
ISBN 10: 0898713315
ISBN 13: 9780898713312
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Mathematical Aspects of Geometric Modeling
Published by
Society for Industrial and Applied Mathematics (SIAM), 1987
ISBN 10: 0898713315
ISBN 13: 9780898713312
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Mathematical Aspects of Geometric Modelling
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ISBN 10: 0898713315
ISBN 13: 9780898713312
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Mathematical Aspects of Geometric Modeling
Published by
Society for Industrial and Applied Mathematics (SIAM), 1987
ISBN 10: 0898713315
ISBN 13: 9780898713312
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Mathematical Aspects of Geometric Modelling
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ISBN 10: 0898713315
ISBN 13: 9780898713312
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Paperback. Condition: New. This monograph examines in detail certain concepts that are useful for the modeling of curves and surfaces and emphasizes the mathematical theory that underlies these ideas. The two principal themes of the text are the use of piecewise polynomial representation (this theme appears in one form or another in every chapter), and iterative refinement, also called subdivision. Here, simple iterative geometric algorithms produce, in the limit, curves with complex analytic structure.In the first two chapters, the de Casteljau subdivision for Bernstein-Bézier curves is used to introduce matrix subdivision, and the Lane-Riesenfield algorithm for computing cardinal splines is tied into stationary subdivision. This ultimately leads to the construction of prewavelets of compact support. Chapters three and four deal with concepts of ""visual smoothness"" of curves, and the intriguing idea of generating smooth multivariate piecewise polynomials as volumes of ""slices"" of polyhedra. The final chapter discusses recursive algorithms for the evaluation of polynomials. Each chapter contains introductory material as well as more advanced results. Seller Inventory # LU-9780898713312
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Mathematical Aspects of Geometric Modelling
Published by
Society for Industrial & Applied Mathematics,U.S., 1987
ISBN 10: 0898713315
ISBN 13: 9780898713312
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