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The NURBS Book

  • Les Piegl
  • Wayne Tiller

Part of the Monographs in Visual Communications book series (VISUALCOMM)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Les Piegl, Wayne Tiller
    Pages 1-46
  3. Les Piegl, Wayne Tiller
    Pages 47-79
  4. Les Piegl, Wayne Tiller
    Pages 81-116
  5. Les Piegl, Wayne Tiller
    Pages 117-139
  6. Les Piegl, Wayne Tiller
    Pages 141-228
  7. Les Piegl, Wayne Tiller
    Pages 229-279
  8. Les Piegl, Wayne Tiller
    Pages 281-331
  9. Les Piegl, Wayne Tiller
    Pages 333-360
  10. Les Piegl, Wayne Tiller
    Pages 361-453
  11. Les Piegl, Wayne Tiller
    Pages 455-507
  12. Les Piegl, Wayne Tiller
    Pages 509-569
  13. Les Piegl, Wayne Tiller
    Pages 571-591
  14. Les Piegl, Wayne Tiller
    Pages 593-628
  15. Back Matter
    Pages 629-646

About this book

Introduction

Until recently B-spline curves and surfaces (NURBS) were principally of interest to the computer aided design community, where they have become the standard for curve and surface description. Today we are seeing expanded use of NURBS in modeling objects for the visual arts, including the film and entertainment industries, art, and sculpture. NURBS are now also being used for modeling scenes for virtual reality applications. These applications are expected to increase. Consequently, it is quite appropriate for The.N'U'R-BS Book to be part of the Monographs in Visual Communication Series. B-spline curves and surfaces have been an enduring element throughout my pro­ fessional life. The first edition of Mathematical Elements for Computer Graphics, published in 1972, was the first computer aided design/interactive computer graph­ ics textbook to contain material on B-splines. That material was obtained through the good graces of Bill Gordon and Louie Knapp while they were at Syracuse University. A paper of mine, presented during the Summer of 1977 at a Society of Naval Architects and Marine Engineers meeting on computer aided ship surface design, was arguably the first to examine the use of B-spline curves for ship design. For many, B-splines, rational B-splines, and NURBS have been a bit mysterious.

Keywords

B-Splines CAD Geometrisches Modellieren NURBS algorithms code computation design form geometric modelling geometry mathematics minimum programming tool

Authors and affiliations

  • Les Piegl
    • 1
  • Wayne Tiller
    • 2
  1. 1.Department of Computer Science and EngineeringUniversity of South FloridaTampaUSA
  2. 2.GeomWare, Inc.TylerUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-97385-7
  • Copyright Information Springer-Verlag Berlin Heidelberg 1995
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-97387-1
  • Online ISBN 978-3-642-97385-7
  • Series Print ISSN 1431-6897
  • Buy this book on publisher's site