B-splines are fundamental to approximation and data fitting, geometric modeling, automated manufacturing, computer graphics, and numerical simulation. With an emphasis on key results and methods that are most widely used in practice, this textbook provides a unified introduction to the basic components of B-spline theory:* Aapproximation methods (mathematics).* Modeling techniques (engineering).* Geometric algorithms (computer science). supplemental Web site will provide a collection of problems, some with solutions, slides for use in lectures, and programs with demos.