Skip to main content

Volume and Surface Properties in CSG

  • Conference paper
New Trends in Computer Graphics

Abstract

If we use a red drill to make a hole in a blue block, the inside of the hole will still be blue. To simulate this process in a CSG system, we subtract a red cylinder from the blue block. The hole’s surface belongs to the cylinder but it takes its colour from the block.

We present algorithms for elucidating the correct colours from CSG models and describe an application in design for wood turning.

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.

References

  • Brown, T. 1987: Efficient Ray Tracing of Solid Models, MSc thesis, University of Otago

    Google Scholar 

  • Cleary, J. G. et al. 1983: Multiprocessor Ray Tracing, Research Report No. 83/128/7, Dept. Computer Science, University of Calgary

    Google Scholar 

  • Cleary, J. G. and Wyvill, G. 1987: Analysis of an Algorithm for sFast Ray Tracing Using Uniform Space Subdivision, The Visual Computer (in press)

    Google Scholar 

  • Fujimoto, A. and Iwata, K. 1985: Accelerated Ray Tracing, Computer Graphics Visual Technology and Art (Proc. of CG Tokyo ’85), 41–65

    Google Scholar 

  • Fujimoto, A., Perrott, C. G. and Iwata, K. 1986a: Environment for Fast Elaboration of Constructive Solid Geometry, Advanced Computer Graphics (Proc. CG Tokyo ’86), 20–33

    Chapter  Google Scholar 

  • Fujimoto, A., Tanaka, T. and Iwata, K. 1986b: ARTS: Accelerated Ray Tracing System, IEEE CG&A, Vol. 6, No. 4, 16–26

    Google Scholar 

  • Glassner, A. S. 1984: Space Subdivision for Fast Ray Tracing, IEEE CG&A, Vol. 4, No. 10, 15–22

    Google Scholar 

  • Laidlaw, D. H., Trumbore, W. B. and Hughes, J. F. 1986: Constructive Solid Geometry for Polyhedral Objects, Computer Graphics (Proc. SIGGRAPH ’86), Vol. 20, No. 4, 161–170

    Article  Google Scholar 

  • Myers, W. 1982: An industrial perspective on solid modeling,IEEE CG&A, Vol. 2, No. 2, 86–97

    Google Scholar 

  • Ohta, M. and Maekawa, M. 1987: Ray Coherence and Constant Time Ray Tracing Algorithm, Computer Graphics 1987 (Proc. CG International ’87, Karuizawa), 303–314

    Chapter  Google Scholar 

  • Requicha, A. A. G. and Voelker, H. B. 1977: Geometric Modelling of Mechanical Parts and Processes,Computer, Vol. 10, No. 12, 48–57

    Article  Google Scholar 

  • Requicha, A. A. G. and Voelker, H. B. 1982: Solid Modeling: A Historical Summary and Contemporary Assessment, IEEE CG&A, Vol. 2, No. 2, 9–24

    Google Scholar 

  • Roth, S. D. 1982: Ray Casting for Modeling Solids, Computer Graphics and Image Processing, Vol. 18, 109–144

    Article  Google Scholar 

  • Whitted, T. 1980: An Improved Illumination Model for Shaded Display, Comm. ACM, Vol. 23, No. 6, 343–349

    Article  Google Scholar 

  • Woodwark, J. and Bowyer, A. 1986a: Better and faster pictures from solid models, Computer-Aided Engineering Journal, February, 17–24

    Google Scholar 

  • Woodwark, J. 1986b: Generating wireframes from set-theoretic solid models by spatial division, Computer Aided Design, Vol. 18, No. 6, 307–315

    Article  Google Scholar 

  • Wyvill, G. and Kunii, T. L. 1985: A functional model for constructive solid geometry, The Visual Computer, Vol. 1, No. 1

    Article  Google Scholar 

  • Wyvill, G., Kunii, T. L. and Shirai, Y. 1986: Space Division for Ray Tracing in CSG, IEEE CG&A, Vol. 6, No. 4, 28–34

    Google Scholar 

  • Wyvill, G., Ward, A. and Brown, T. 1987: Sketches by Ray Tracing, Computer Graphics 1987 (Proc. CG International ’87, Karuizawa), 315–333

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1988 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Wyvill, G., Sharp, P. (1988). Volume and Surface Properties in CSG. In: Magnenat-Thalmann, N., Thalmann, D. (eds) New Trends in Computer Graphics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83492-9_22

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-83492-9_22

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-83494-3

  • Online ISBN: 978-3-642-83492-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics