Pyramid Algorithm -- Dynamic Programming Processing of Curved Surface Geometric Models

Author: (USA) Goldman, translated by Wu Zongmin et al.
Publisher:
Publish Date: 2004-01-01
Features: This is the only book dedicated to the pyramid algorithm. The pyramid algorithm is a highly effective method that employs a dynamic programming approach based on pyramid recursion to understand, analyze, and compute common polynomial and spline curve surface problems in computer-aided geometric design. Pyramid recursive algorithms have a significant advantage in displaying the overall structure of algorithms, making it easy to see the connections between them. Learning this method only requires basic knowledge of differential geometry and linear algebra, as well as simple programming skills. After reading this book, readers are bound to change their approach and implementation methods in computer-aided geometric design. This book is the only one on the pyramid algorithm. Dr. Goldman, the author, is one of the most distinguished academic researchers in computer-aided geometric design worldwide, with extensive practical experience. The book introduces the fundamental concepts, methods, and intrinsic connections of computer-aided geometric design, as well as the specific details of dynamic programming for curve and surface geometric models, covering Bézier curves, B-splines, blossoms, and various Bézier surface patches. The explanations in the book are clear and easy to understand, with theoretical and practical exercises at the end of each section, providing strong reinforcement of the concepts discussed. The content of the book is arranged in a logical, progressive, and accessible manner, and after reading it, readers will gain a sudden realization that computer-aided geometric design and its implementation paths are actually quite simple. With the authority of its author and the importance of its content, this book truly rivals the pyramid in its significance. This book is suitable for theoretical scholars and practical application personnel in fields such as computer science, engineering, and mathematics, as well as upper-level undergraduate and graduate students in computer science.