Skip to main content

An Extended Rounding Operation for Modeling Solids with Free-Form Surfaces

  • Conference paper
Computer Graphics 1987

Abstract

The authors propose an extended rounding operation as a tool for modeling solids with free-form surfaces. Using the rounding operation, the edges and vertices of a solid can be locally rounded, and those parts of the solid are changed to free-form surfaces. The user inputs information about which edges should be rounded and about radii of curves generated by the operation. This facility has been implemented in our solid modeling system DESIGNBASE.

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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.

Reference

  • Beeker, E. [1986]. “Smoothing of Shapes Designed with Free-Form Surfaces,” Computer Aided Design, Vol.18, No.4 May, pp.224–232.

    Article  Google Scholar 

  • Catmull, E. and Clark, J. [1978]. “Recursively Generated B-spline Surfaces on Arbitrary Topological Meshes,” Computer Aided Design, Vol.10, No.6, November, pp.350–355.

    Article  Google Scholar 

  • Chiyokura, H. and Kimura, F. [1983]. “Design of Solids with Freeform Surfaces,” Computer Graphics (SIGGRAPH’83 Proc.), Vol.17, No.3, July, pp.289–298.

    Article  Google Scholar 

  • Chiyokura, H. and Kimura, F. [ 1985 ]. “A Representation of Solid Design Process using Basic Operations,” in Frontiers in Computer Graphics - Proc. Computer Graphics Tokyo 84, T. L. Kunii (ed.), Springer-Verlag, Tokyo, pp. 26 - 43.

    Google Scholar 

  • Chiyokura, H. [ 1986 ]. “Localized Surface Interpolation for Irregular Meshes,” Advanced Computer Graphics–Proc. Computer Graphics Tokyo 86, T. L. Kunii (ed.), Springer-Verlag, Tokyo, pp. 3–19.

    Google Scholar 

  • Chiyokura, H. [1987]. Solid Modelling: Theory and Implementation, Addison-Wesley, London, to appear.

    Google Scholar 

  • Doo, D. [ 1978 ]. “A Subdivision Algorithm for Smoothing Down Irregular Shaped Polyhedrons,” Proc. Conf. Interactive Technique in CAD, Bologna, Italy, pp. 157–165.

    Google Scholar 

  • Doo, D. and Sabin, M.A. [1978]. “Behaviour of Recursive Division near Extraordinary Points,” Computer Aided Design, Vol.10, No.6, November, pp.356–360.

    Article  Google Scholar 

  • Fjällström, P. [ 1986 ]. “Smoothing of Polyhedra Models,” Proc. ACM Symposium on Computational Geometry, Yorktown Heights, New York, pp. 226–235.

    Google Scholar 

  • Hoffmann, C. and Hoperoft, J. [ 1985 ]. “Automatic Surface Generation in Computer Aided Design,” Visual Computer, Vol. 1, No. 2, pp. 92–100.

    Article  MATH  Google Scholar 

  • Middleditch, A.E. and Sears, K.H. [1985]. “Blend Surfaces for Set Theoretic Volume Modelling,” Computer Graphics (SIGGRAPH’85 Proc.), Vol.19, No.3, July, pp.161–170.

    Article  Google Scholar 

  • Riesenfeld, R.F. [1983]. “A View of Spline-Based Solid Modelling,” Proc. AUTOFACT 5 SME.

    Google Scholar 

  • Sarraga, R.F. and Waters, W.C. [ 1984 ]. “Free-Form Surfaces in GM Solid: Goals and Issues,” in Solid Modeling by Computers from Theory and Applications, M.S. Pickett and J.W. Boyse (eds.), Plenum Press, New York, pp. 237–253.

    Google Scholar 

  • Sequin, C.H. [1986]. “Procedural Spline Interpolation in UNICUBIX,” USENIX Computer Graphics Workshop Proc. December.

    Google Scholar 

  • Tan, S.T. and Chan, K.C. [1986]. “Generation of High Order Surfaces over Arbitrary Polyhedral Meshes,” Computer Aided Design, Vol.18, No.8, October, pp.441–423.

    Article  Google Scholar 

  • Thomas, S.W. [1985] “The Alpha-1 Computer-Aided Geometric Design System in the UNIX Environment,” Login, Vol.10, No.4, October, pp.54–64.

    Google Scholar 

  • Toriya, H., Satoh, T., Ueda, K. and Chiyokura, H. [1986]. “UNDO and REDO Operations for Solids Modeling”, IEEE Computer Graphics and Applications, Vol.6, No.4, April, pp.35–42.

    Article  Google Scholar 

  • Wijk, J.J. van [1986]. “Bicubic Patches for Approximating Non-Rectangular Control-Point Meshes,” Computer Aided Geometric Design, Vol.3, No.1, May, pp.1–13.

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1987 Springer-Verlag Tokyo

About this paper

Cite this paper

Chiyokura, H. (1987). An Extended Rounding Operation for Modeling Solids with Free-Form Surfaces. In: Kunii, T.L. (eds) Computer Graphics 1987. Springer, Tokyo. https://doi.org/10.1007/978-4-431-68057-4_16

Download citation

  • DOI: https://doi.org/10.1007/978-4-431-68057-4_16

  • Publisher Name: Springer, Tokyo

  • Print ISBN: 978-4-431-68059-8

  • Online ISBN: 978-4-431-68057-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics