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Mathematical Aspects of Geometric Modeling (CBMS-NSF Regional Conference Series in Applied Mathematics, Series Number 65) by Micchelli, Charles A. is a nonfiction available to read on EtoBox.

What is Mathematical Aspects of Geometric Modeling (CBMS-NSF Regional Conference Series in Applied Mathematics, Series Number 65) about?

<p>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.</p>

Who reads Mathematical Aspects of Geometric Modeling (CBMS-NSF Regional Conference Series in Applied Mathematics, Series Number 65)?

Author

Micchelli, Charles A.

Publisher

Philadelphia, Pa.: Society for Industrial and Applied Mathematics

Published

1995

Language

EN

ISBN

9780898713312

Category

nonfiction

Subjects

Mathematics, Stem