"Geometric modeling continues to grow in importance... Understanding the constructs that underlie geometric modeling will place students and developers at the forefront of these new advancements. Nikolay Golovanov has paved the way to that understanding with this comprehensive presentation." - Ken Versprille, Ph.D. "Golovanov has created a text that will enable any serious student of geometric design to grasp the full power and beauty of the mathematics behind this essential set of tools, and put them to work. I am deeply impressed by the logical and methodical presentation, and by the clarity of the teaching. Highly recommended " - Joel N. Orr, Ph.D. This book is intended for those who study, use, or develop geometric modeling systems. It is devoted to the mathematical apparatus of these systems and provides methods for constructing numerical models of the geometry of real and imaginary objects. The book outlines the methods of geometric modeling, including methods for constructing curves, surfaces, and solids. It describes the algorithms and data structures of geometric objects. It also presents principles of interconnection between elements of a model. The book examines some applications of geometric models. This book is based on the author's experience gained during the development of the C3D geometric kernel. Learn more about C3D at http: //c3dlabs.com/