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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

• 1: James F. Blinn , Martin E. Newell, Texture and reflection in computer generated images, Communications of the ACM, v.19 n.10, p.542-547, Oct. 1976 [doi>10.1145/360349.360353]
• 2: James Frederick Blinn, Computer display of curved surfaces., 1978
• 3: Edwin Earl Catmull, A subdivision algorithm for computer display of curved surfaces., 1974
• 4: Ed Catmull , Alvy Ray Smith, 3-D transformations of images in scanline order, Proceedings of the 7th annual conference on Computer graphics and interactive techniques, p.279-285, July 14-18, 1980, Seattle, Washington, United States
• 5: Eliot A. Feibush , Marc Levoy , Robert L. Cook, Synthetic texturing using digital filters, Proceedings of the 7th annual conference on Computer graphics and interactive techniques, p.294-301, July 14-18, 1980, Seattle, Washington, United States
• 6: Alain Fournier , Don Fussell , Loren Carpenter, Computer rendering of stochastic models, Communications of the ACM, v.25 n.6, p.371-384, June 1982 [doi>10.1145/358523.358553]
• 7: 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: Alan Norton , Alyn P. Rockwood , Philip T. Skolmoski, Clamping: A method of antialiasing textured surfaces by bandwidth limiting in object space, Proceedings of the 9th annual conference on Computer graphics and interactive techniques, p.1-8, July 26-30, 1982, Boston, Massachusetts, United States
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INDEX TERMS

Primary Classification:
  I. Computing Methodologies
  I.3 COMPUTER GRAPHICS
      I.3.3 Picture/Image Generation
          Subjects: Display algorithms

Additional Classification:
  I. Computing Methodologies
  I.3 COMPUTER GRAPHICS
      I.3.7 Three-Dimensional Graphics and Realism
          Subjects: Color, shading, shadowing, and texture

General Terms:
Algorithms, Performance

Keywords:
Antialiasing, Shading algorithms, Table lookup algorithms, texture mapping