Skip to main content

Constructing Free-Form Surfaces for Milling from Digitized Data

  • Conference paper
Graphics Modeling and Visualization in Science and Technology

Part of the book series: Beiträge zur Graphischen Datenverarbeitung ((GRAPHISCHEN))

  • 67 Accesses

Abstract

Using a three-axis miller, copies, negative moulds, etc. of a solid body shall be made. To reduce machine time, a method is presented so that the body has to be scanned only once, even if differently sized tools are used. This is accomplished by approximating the given surface with B-splines and generating the milling paths from this mathematical description. Prior to being fed into a milling machine, these control programs and several other data can also be displayed on a screen, in order to judge the quality and smoothness of the result. A small example is included.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. G. Farin: Curves and Surfaces for Computer Aided Geometric Design. Academic Press, San Diego (USA) 1988

    MATH  Google Scholar 

  2. T. Foley, N. Gregory: Knot Selection for Parametric Spline Interpolation. pp. 261 - 271 from [LYC89]

    Google Scholar 

  3. J. Hoschek, D. Lasser: Grundlagen der Geometrischen Datenverarbeitung. Teubner, Stuttgart 1989

    MATH  Google Scholar 

  4. ISO/IEC JTC 1: Draft International Standard 9592. 4 (Programmer’s Hierarchical Interactive Graphics System: Plus Lumière und Surfaces), ISO /IEC 1991

    Google Scholar 

  5. T. Lyche, L. Schumaker (Editors): Mathematical Methods in Computer Aided Geometrie Design. Academic Press, Boston (USA) 1989

    Google Scholar 

  6. M. Mortenson: Geometrie Modeling. John Wiley & Sons, New York (USA) 1985

    Google Scholar 

  7. H. Späth: Spline-Algorithmen zur Konstruktion glatter Kurven und Flächen. Oldenbourg, Munich 1973

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1993 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Anheuser, F. (1993). Constructing Free-Form Surfaces for Milling from Digitized Data. In: Göbel, M., Teixeira, J.C. (eds) Graphics Modeling and Visualization in Science and Technology. Beiträge zur Graphischen Datenverarbeitung. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-77811-7_15

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-77811-7_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55965-8

  • Online ISBN: 978-3-642-77811-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics