Whether you are a graduate student, scientist, or practitioner, this book provides you with a theoretically unified grasp of polynomial curves and surfaces as well as a practical implementation strategy you can apply to your own work.

Whether you're a graduate student, researcher, or practitioner, Curves and Surfaces for Geometric Design provides you with a theoretically comprehensive understanding of polynomial curves and surfaces as well as a practical implementation strategy you can use to your own work.

Inside, the emphasis is on "blossoming," which is the transformation of a polynomial to its polar form, as a natural, purely geometric explanation of how curves and surfaces behave. This realization is significant for much more than just its theoretical elegance, as the author goes on to show the utility of blooming as a useful algorithmic tool for creating and modifying curves and surfaces that satisfy a variety of requirements. You'll learn to use this and related techniques drawn from affine geometry for computing and adjusting control points, deriving the continuity conditions for splines, creating subdivision surfaces, and more.

Additionally, it provides a fantastic introduction to advanced geometric ideas that are applied to computer graphics, robotics, vision, and many other related fields.