Loading... Please wait...

Mathematical Aspects of Geometric Modeling

Hover over image to zoom

Order Code:

 Product Description

by Charles A. Micchelli


1994 / ix + 256 pages / Softcover / ISBN: 978-0-898713-31-2 / List Price $80.00 / SIAM/CBMS Member Price $56.00 / Order Code CB65

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. The final chapter contains an evaluation of polynomials by finite recursive algorithms. Each chapter contains introductory material as well as more advanced results.

Preface; 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.

ISBN: 9780898713312

 Find Similar Products by Category

Vendors Other Products

 Product Reviews

This product hasn't received any reviews yet. Be the first to review this product!

You Recently Viewed...



Follow us on

Copyright 2019 SIAM Bookstore. All Rights Reserved.
Sitemap | BigCommerce Premium Themes by PSDCenter

Society for Industrial and Applied Mathematics 3600 Market St., 6th Fl. Philadelphia, PA 19104-2688 USA +1-215-382-9800 FAX: +1-215-386-7999 www.siam.org email: siambooks@siam.org

Click the button below to add the Mathematical Aspects of Geometric Modeling to your wish list.