Image synthesis methods and systems for generating sample...

Computer graphics processing and selective visual display system – Computer graphics processing – Attributes

Reexamination Certificate

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C345S419000

Reexamination Certificate

active

07432935

ABSTRACT:
The invention provides systems and computer-implemented methods for evaluating integrals using quasi-Monte Carlo methodologies, and in particular embodiments, adaptive quasi-Monte Carlo integration and adaptive integro-approximation in conjunction with techniques including a scrambled Halton Sequence, stratification by radical inversion, stratified samples from the Halton Sequence, deterministic scrambling, bias elimination by randomization, adaptive and deterministic anti-aliasing, anti-aliasing by rank-1 lattices, and trajectory splitting by dependent sampling and rank-1 lattices.

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patent: 7167175 (2007-01-01), Keller
patent: 02/03326 (2002-01-01), None
patent: 03/098467 (2003-11-01), None
A. Keller. Instant Radiosity. Computer Graphics (SIGGRAPH Proceedings), 1997.
A. Keller. A quasi-Monte Carlo Algorithm for the Global Illumination in the Radiosity Setting. Monte-Carlo and Quasi-Monte Carlo Methods in Scientific Computing, Springer 1995.
T. Kollig and A. Keller. Efficient Multi-dimensional Sampling. Computer Graphics Forum, vol. 21, Num 3, Sep. 2002.
C. Damez, K. Dmitriev, and K. Myszkowski. Global Illumination for Interactive Applications and High-Quality Animations. Eurographics, Sep. 2002. Star.
D. P. Mitchell. Consequences of stratified sampling in graphics. In SIGGRAPH '96: Proceedings of the 23rd annual conference on Computer graphics and interactive techniques, pp. 277-280. ACM Press, 1996.
C. Lemieux and P. L'Ecuyer. Using lattice rules for variance reduction in simulation. In Proceedings of the 2000 Winter Simulation Conference, pp. 509-516, Piscataway, NJ, 2000. IEEE Press.
Elise de Doncker. Methods for enhancing numerical integration. Department of Computer Science, Western Michigan University, Kalamazoo, MI 49008, USA, Available online Feb. 22, 2003.
PCT International Search Report dated May 11, 2007 for PCT/US06/32393 (pub'd as WO 2007/022439 A3).

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