Skip to main content

Space Deformation using Ray Deflectors

  • Conference paper
  • First Online:

Part of the book series: Eurographics ((EUROGRAPH))

Abstract

In this paper we introduce a new approach to the deformation of surface and raster models in two and three dimensions. Rather then deforming the objects in the model, we deform the rays used to render the scene. The mechanism to specify the deformation, which we call a deflector, is a vector of gravity positioned in space. This gravity vector bends any ray that travels through its field of gravity in a view-independent fashion. Images generated by these curved rays give the impression of a deformed space. Unlike previous methods that deform all the objects in the scene, our approach deforms only those parts of the model that contribute to the final image. In addition, using deflectors, our approach can deform any object type that can be rendered by a ray casting algorithm, providing a unified solution to space deformation.

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

Buying options

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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Barr A., “Global and Local Deformations of Solid Primitives”, Proceedings of SIGGRAPH ’84, Computer Graphics, 18 (3): 21–30, July 1984.

    Article  Google Scholar 

  2. Barr A., “Ray Tracing Deformed Surfaces”, Proceedings of SIGGRAPH ’86, Computer Graphics, 20 (4): 287–296, August 1986.

    Article  Google Scholar 

  3. Bier T. and Neely S., “Feature Based Image Metamorphosis”, Proceedings of SIGGRAPH ’92, Computer Graphics, 26 (2): 35–42, July 1992.

    Article  Google Scholar 

  4. Glassner, A. S. (ed.), An Introduction to Ray Tracing, Academic Press, 1989.

    MATH  Google Scholar 

  5. He T., Wang S., and Kaufman A., “Wavelet-Based Volume Morphing”, Proceedings of Visualization ’94, IEEE Computer Society Press, 1994, pp. 85–92.

    Google Scholar 

  6. Hughes J.F., “Scheduled Fourier Volume Morphing”, Proceedings of SIGGRAPH ’92, Computer Graphics, 26 (2): 43–46, July 1992.

    Article  MathSciNet  Google Scholar 

  7. Isaacs P.M. and Cohen M.F., “Controlling Dynamic Simulation with Kinematic Constrains, Behavior Functions and Inverse Dynamics”, Proceedings of SIGGRAPH ’87, Computer Graphics, 21 (4): 215–224, July 1987.

    Article  Google Scholar 

  8. Kaufman A. (ed.), “Volume Visualization”, IEEE Computer Society Press, 1990.

    MATH  Google Scholar 

  9. Kent J.R., Carlson W.E., and Parent R., “Shape Transformations for Polyhedral Objects”, Proceedings of SIGGRAPH’92, Computer Graphics, 26 (2): 47–54, July 1992.

    Article  Google Scholar 

  10. Sederberg, T.W. and Greenwood E., “A Physically Based Approach to 2-D Shape Blending”, Proceedings of SIGGRAPH ’92, Computer Graphics, 26 (2): 25–34, July 1992.

    Article  Google Scholar 

  11. Terzopoulos D., Piatt J., Barr A., and Fleischer K., “Elastically Deformable Models”, Proceedings of SIGGRAPH’87, Computer Graphics, 21 (4): 205 - 214, July 1987.

    Article  Google Scholar 

  12. Williams L., “Pyramidal Parametrics”, Proceedings of SIGGRAPH ’83, Computer Graphics, 17 (3): 1–10, July 1983.

    Article  Google Scholar 

  13. Wolberg G., “Digital Image Warping”, IEEE Computer Society Press, 1990.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1995 Springer-Verlag/Wien

About this paper

Cite this paper

Kurzion, Y., Yagel, R. (1995). Space Deformation using Ray Deflectors. In: Hanrahan, P.M., Purgathofer, W. (eds) Rendering Techniques ’95. EGSR 1995. Eurographics. Springer, Vienna. https://doi.org/10.1007/978-3-7091-9430-0_3

Download citation

  • DOI: https://doi.org/10.1007/978-3-7091-9430-0_3

  • Published:

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-82733-8

  • Online ISBN: 978-3-7091-9430-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics