Yamaguchi, Fujio. Curves and Surfaces in Computer Aided Geometric Design. Springer Berlin Heidelberg, 2013.

eng

Fujio Yamaguchi

Curves and Surfaces in Computer Aided Geometric Design

Springer Berlin Heidelberg
2013

Taschenbuch
396 Seiten
ISBN 9783642489549

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

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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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