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Curves and Surfaces in Computer Aided Geometric Design

Curves and Surfaces in Computer Aided Geometric Design

Paperback

General ComputersProgramming

ISBN10: 3642489540
ISBN13: 9783642489549
Publisher: Springer Nature
Published: Nov 20 2013
Pages: 378
Weight: 1.38
Height: 0.81 Width: 6.69 Depth: 9.61
Language: English
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.

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