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Summed-area tables for texture mapping

Published: 01 January 1984 Publication History

Abstract

Texture-map computations can be made tractable through use of precalculated tables which allow computational costs independent of the texture density. The first example of this technique, the “mip” map, uses a set of tables containing successively lower-resolution representations filtered down from the discrete texture function. An alternative method using a single table of values representing the integral over the texture function rather than the function itself may yield superior results at similar cost. The necessary algorithms to support the new technique are explained. Finally, the cost and performance of the new technique is compared to previous techniques.

References

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Blinn. J. and Newell. M., "Texture and Reflection on Computer Generated Images", Communications of the ACM, Vol. 19, #10, Oct. 1976.
[2]
Blinn. J., "Computer Display of Curved Surfaces", PhD. Dissertation, Department of Computer Science, University of Utah. December 1978.
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Catmull, E,. "A Subdivision Algorithm for Computer Display of Curved Surfaces", PhD. Dissertation, Department of Computer Science, University of Utah, Tech. Report UTEC-CSc-74-133, December 1974.
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4. Catmull. E. and Smith A. R., "3-D Transformation of Images in Scanline Order", Computer Graphics (Proc. Siggraph '80), Vol. 14. July 1980.
[5]
Feibush, E. A., Levoy, M., and Cook, R. L., "Synthetic Texturing Using Digital Filters", Computer Graphics (Proc. Siggraph '80), Vol. 14, July 1980.
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Fournier, A., Fussell, D., and Carpenter, L., "Computer Rendering of Stochastic Models", Communications of the ACM, Vol. 25, #6, June 1982.
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Hackathorn. R. and Parent. R., Private Communication, 1980.
[8]
Haruyama, S, and Barsky, B. A., "Using Stochastic Modeling for Texture Generation", IEEE Computer Graphics and Applications, Vol. 4, # 3, March 1984.
[9]
Norton, A., Rockwood, A. P., and Skomolski, P. S., "Clamping: A Method of Antialiasing Textured Surfaces by Bandwidth Limiting in Object Space", Computer Graphics (Proc. Siggraph '82), Vol. 16, #3, July 1982.
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Williams, L. "Pyramidal Parametrics", Computer Graphics, Vol. 17, #3, July 1983.

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      Published In

      cover image ACM SIGGRAPH Computer Graphics
      ACM SIGGRAPH Computer Graphics  Volume 18, Issue 3
      July 1984
      264 pages
      ISSN:0097-8930
      DOI:10.1145/964965
      Issue’s Table of Contents
      Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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      Association for Computing Machinery

      New York, NY, United States

      Publication History

      Published: 01 January 1984
      Published in SIGGRAPH Volume 18, Issue 3

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      Author Tags

      1. Antialiasing
      2. Shading algorithms
      3. Table lookup algorithms
      4. texture mapping

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