Geometric Modeling with Splines: An Introduction

This book contains a comprehensive treatment of curves and surfaces with emphasis on B-spline techniques. It provides a wealth of material ranging from classical techniques to a broad coverage of new techniques, suitable for implementing splines and for designing with splines. 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.