Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Published in:
Case Studies Read chapter Read first chapter

2011 | OriginalPaper | Chapter

5. Geometry

Authors : Ian Anthony Stroud, Hildegarde Nagy

Published in: Solid Modelling and CAD Systems

Publisher: Springer London

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

This chapter contains an overview of geometry and its use in CAD modelling. There are two types of geometry, analytic and numeric. With analytic geometry the form is explicit and controlled by a few parameters. With numeric geometry the shape is controlled by a set of points, called control points, and the geometric forms are general. Often CAD systems use a mixture, with analytic geometry for a few common forms and numeric geometry for all the rest. The numeric geometry is important for covering all special shapes The chapter explains some basic techniques and common operations used as well as some exercises for using numerical geometry.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

inform now
previous chapter Operations and Functionality
next chapter Non-Manifold Models
Literature
1.
Faux, I., Pratt, M.J.: Computational Geometry for Design and Manufacture. Ellis-Horwood, Chichester (1978)
2.
Farin, G.: Curves and Surfaces for Computer-Aided Geometric Design. Academic Press, London, ISBN 0-12-249054-1 (1988)MATH
3.
Piegl, L., Tiller, W.: The NURBS Book. Springer, Heidelberg, ISBN 3-540-61545-8 (1997)
4.
Hoschek, J., Lasser, D.: Fundamentals of Computer Aided Geometric Design, translated and published by A. K. Peters, ISBN 1-56881-007-5 (1993)
5.
Pfeifer, H.-U.: Methods used for intersection geometrical entities in the GPM module for volume geometry. CAD J. 17(7), 311–318 (1985)
6.
Stroud, I.A.: Boundary Representation Modelling Techniques. Springer, Heidelberg (2006)MATH
7.
Marshall, A.D., Martin, R.R.: Computer Vision, Models and Inspection. World Scientific Publishing, Singapore, ISBN 9810207727 (1992)CrossRef
8.
Besl, P.J.: Surfaces in Range Image Understanding. Springer, Heidelberg, ISBN 0-387-96773-7 (1986)
9.
Chiyokura, H., Kimura, F.: Design of solids with free-form surfaces. Comput. Graph. (SIGGRAPH ’83 Proc.) 17, 289–298 (1983)CrossRef
10.
Chiyokura, H., Kimura, F.: A method of representing the solid design process. IEEE Comput. Graph. Appl. 5, 32–41 (1985)CrossRef
11.
Chiyokura, H.: Solid Modelling with DESIGNBASE. Addison-Wesley Publishing Company, Reading, ISBN 0-201-19245-4 (1988)
Metadata
Title
Geometry
Authors
Ian Anthony Stroud
Hildegarde Nagy
Copyright Year
2011
Publisher
Springer London
Book
Solid Modelling and CAD Systems

Print ISBN: 978-0-85729-258-2

Electronic ISBN: 978-0-85729-259-9

Copyright Year: 2011

DOI
https://doi.org/10.1007/978-0-85729-259-9_5

Premium Partners

    Image Credits