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.

Written by researchers who have helped to found and shape the field, this book provides an introduction to geometric modelling. The authors present a broad base of fundamentally important techniques for curve and surface representations in computer-aided modelling with a focus on how the techniques can be used in design. In achieving a balance between mathematical rigour and broad applicability, they show how theoretical properties can be harnessed to practical algorithms, how a somewhat more abstract treatment can occasionally provide unifying elegance and implement a rational advantage.