Pyramid Algorithms

Preface

Every mature technical subject has its own distinct point of view—favorite methods, cherished formulas, standard examples, preferred algorithms, characteristic projects, common folklore, pet principles and paradigms. Initially, computer-aided geometric design (CAGD) grew out of approximation theory and numerical analysis, adapting the tools of these disciplines for its own devices. Differential, algebraic, and projective geometry also contributed to the development of CAGD, which borrowed heavily from each of these fields.

Outside of mathematics, CAGD was strongly influenced by computer science and mechanical engineering. Indeed, it was the ability to solve computational problems in mechanical design and manufacture that gave CAGD its ...