Mathematical Aspects of Geometric Modeling Paperback: 65 (CBMS-NSF Regional Conference Series in Applied Mathematics, Series Number 65) - Softcover

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9780898713312: Mathematical Aspects of Geometric Modeling Paperback: 65 (CBMS-NSF Regional Conference Series in Applied Mathematics, Series Number 65)
Softcover
ISBN 10: 0898713315 ISBN 13: 9780898713312
Verlag: Society for Industrial and Applied Mathematics, 1994

Inhaltsangabe

Examines concepts that are useful for the modeling of curves and surfaces and emphasizes the mathematical theory that underlies them.

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Reseña del editor

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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Verlag
Society for Industrial and Applied Mathematics
Erscheinungsdatum
1994
Sprache
Englisch
ISBN 10 
0898713315
ISBN 13 
9780898713312
Einband
Tapa blanda
Anzahl der Seiten
266
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Verantwortliche Person
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