Pyramid Algorithms: A Dynamic Programming Approach to Curves and Surfaces for Geometric Modeling

丛 书 名：The Morgan Kaufmann Series in Computer Graphics

版本说明：1st

作     者：Goldman, Ron 

I S B N：(纸本) 9781558603547 

出 版 社：Morgan Kaufmann_RM 

出 版 年：2002年

主 题 词：data structures computer programming: algorithms geometry applications of computing 

学科分类：08[工学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

摘      要：Pyramid Algorithms presents a unique approach to understanding, analyzing, and computing the most common polynomial and spline curve and surface schemes used in computer-aided geometric design, employing a dynamic programming method based on recursive *** recursive pyramid approach offers the distinct advantage of revealing the entire structure of algorithms, as well as relationships between them, at a glance. This book-the only one built around this approach-is certain to change the way you think about CAGD and the way you perform it, and all it requires is a basic background in calculus and linear algebra, and simple programming skills.* Written by one of the world s most eminent CAGD researchers* Designed for use as both a professional reference and a textbook, and addressed to computer scientists, engineers, mathematicians, theoreticians, and students alike* Includes chapters on Bezier curves and surfaces, B-splines, blossoming, and multi-sided Bezier patches* Relies on an easily understood notation, and concludes each section with both practical and theoretical exercises that enhance and elaborate upon the discussion in the text* Foreword by Professor Helmut Pottmann, Vienna University of Technology