MOMENTAN AUSVERKAUFT
Über dieses Produkt
Product Identifiers
PublisherSociety for Industrial AND Applied Mathematics
ISBN-100898713315
ISBN-139780898713312
eBay Product ID (ePID)1013392
Product Key Features
Number of Pages266 Pages
Publication NameMathematical Aspects of Geometric Modelling
LanguageEnglish
Publication Year1994
SubjectGeometry / General, Geometry / Algebraic, Mathematical Analysis
TypeTextbook
Subject AreaMathematics
AuthorCharles A. Micchelli
SeriesCbms-Nsf Regional Conference Series in Applied Mathematics Ser.
FormatTrade Paperback
Dimensions
Item Height0.6 in
Item Weight15.9 Oz
Item Length9 in
Item Width5.9 in
Additional Product Features
Intended AudienceScholarly & Professional
LCCN94-010478
Dewey Edition20
Series Volume NumberVol. 65
Dewey Decimal516.3/52
Table Of ContentPreface A Brief Overview Chapter 1: Matrix Subdivision Chapter 2: Stationary Subdivision Chapter 3: Piecewise Polynomial Curves Chapter 4: Geometric Methods for Piecewise Polynomial Surfaces Chapter 5: Recursive Algorithms for Polynomial Evaluation.
SynopsisThis 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., 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., 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.
LC Classification NumberQA565 .M67 1995
