Curves and Surfaces in Computer Aided Geometric Design

Fujio Yamaguchi

ISBN 10: 3642489540 / ISBN 13: 9783642489549

Published by Springer Berlin Heidelberg, 2013

About this Item

Druck auf Anfrage Neuware - Printed after ordering - ThIS IS an English verSIOn of the book m two volumes, entitled 'KeiJo Shon Kogaku (1), (2)' (Nikkan Kogyo Shinbun Co.) written in Japanese. The purpose of the book is a umfied and systematic exposition of the wealth of research results m the field of mathematical representation of curves and surfaces for computer aided geometric design that have appeared in the last thirty years. The material for the book started hfe as a set of notes for computer aided geometnc design courses which I had at the graduate schools of both computer SCIence, the umversity of Utah m U.S.A. and Kyushu Institute of Design in Japan. The book has been used extensively as a standard text book of curves and surfaces for students, practtcal engmeers and researchers. With the aim of systematic expositIOn, the author has arranged the book in 8 chapters: Chapter 0: The sIgmficance of mathemattcal representations of curves and surfaces is explained and histoncal research developments in this field are revIewed. Chapter 1: BasIc mathematical theones of curves and surfaces are reviewed and summanzed. Chapter 2: A classical mterpolation method, the Lagrange interpolation, is discussed. Although its use is uncommon in practice, this chapter is helpful in understanding Chaps. 4 and 6. Chapter 3: This chapter dIscusses the Coons surface in detail, which is one of the most important contributions in this field. Chapter 4: The fundamentals of spline functions, spline curves and surfaces are discussed in some detail.

Seller Inventory # 9783642489549

Bibliographic Details

• Title: Curves and Surfaces in Computer Aided Geometric Design
• Publisher: Springer Berlin Heidelberg
• Publication Date: 2013
• Language: English
• ISBN 10: 3642489540
• ISBN 13: 9783642489549
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 244W x 170H x 22D millimeters 244 millimeters width by 170 millimeters height by 22 millimeters depth
• Weight: 681 grams

About this title

Synopsis

This book contains various types of mathematical descriptions of curves and surfaces, such as Ferguson, Coons, Spline, Bézier and B-spline curves and surfaces. The materials are classified and arranged in a unified way so that beginners can easily understand the whole spectrum of parametric curves and surfaces. This book will be useful to many researchers, designers, teachers, and students who are working on curves and surfaces. The book can be used as a textbook in computer aided design classes.

Language Notes

Text: English, Japanese (translation)