“Bounding ellipsoids for ray-fractal intersection” by Bouville

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Title:

    Bounding ellipsoids for ray-fractal intersection

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Abstract:


    Recently published papers have shown that, with appropriate intersection algorithms, the rendering of many procedural objects is possible with all the advantages offered by the ray-tracing techniques. In the case of stochastic surfaces, the intersection can be computed by a recursive subdivision technique. The efficiency of this algorithm depends essentially on the bounding volume whose size and shape are directly related to the stochastic characteristics of these surfaces. After a brief review of the rendering of stochastic surfaces and the bounding volume selection problem, two types of bounding volume are studied, describing how their intersection with a ray can be computed and how their size can be derived from the stochastic characteristics. The efficiency then, of these bounding volumes are compared.

References:


    1. Ray-tracing session 1 and 1 )), SIGGRAPH 84, Comp. Graphics, 18, 3, (Jul. 84), p. 119–974.
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    9. ROTH S.D. <( Ray-Casting for Modelling Solids )), Comp. Graphics and Image Processing, 18, 2, p. 109-144.
    10. HARUYAMA S., A.B. BARSKY <( Using Stochastic Modeling for Texture Generation )~ I.E.E.E. Comp. Graphics and Applications 4, 3, p. 7-19.


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