Geometric Modeling with Splines: An Introduction

Geometric Modeling with Splines: An Introduction

by Elaine Cohen, Richard F. Riesenfeld, Gershon Elber
     
 

ISBN-10: 1568811373

ISBN-13: 9781568811376

Pub. Date: 07/18/2001

Publisher: Taylor & Francis

Written by researchers who have helped found and shape the field, this book is a definitive introduction to geometric modeling. The authors present all of the necessary techniques for curve and surface representations in computer-aided modeling with a focus on how the techniques are used in design. They achieve a balance between mathematical rigor and broad

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Overview

Written by researchers who have helped found and shape the field, this book is a definitive introduction to geometric modeling. The authors present all of the necessary techniques for curve and surface representations in computer-aided modeling with a focus on how the techniques are used in design. They achieve a balance between mathematical rigor and broad applicability. Appropriate for readers with a moderate degree of mathematical maturity, this book is suitable as an undergraduate or graduate text, or particularly as a resource for self-study.

Product Details

ISBN-13:
9781568811376
Publisher:
Taylor & Francis
Publication date:
07/18/2001
Edition description:
New Edition
Pages:
638
Product dimensions:
6.18(w) x 9.25(h) x (d)

Table of Contents

IIntroduction1
1Review of Basic Concepts3
IICurves43
2Representation Issues45
3Conic Sections73
4Differential Geometry for Space Curves113
5Bezier Curves and Bernstein Approximation137
6B-Spline Curves171
7Linear Spaces of B-Splines205
8Choosing a B-Spline Space231
9Data Fitting with B-Splines259
10Other Polynomial Bases for Interpolation291
11Other Derivations of B-Splines317
IIISurfaces339
12Differential Geometry for Surfaces341
13Surface Representations381
14Fitting Surfaces415
15Modeling with B-Spline Surfaces435
IVAdvanced Techniques457
16Subdivision and Refinement for Splines459
17Subdivision and Refinement in Modeling497
18Set Operations to Effect Modeling517
19Model Data Structures557
20Subdivision Surfaces569
21Higher-Dimensional Tensor Product B-Splines591
Bibliography607
Index613

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