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IEEE TRANSACTIONS ON VISUALIZATION AND COMPUTER GRAPHICS, VOL. 6, NO. 3, JULY-SEPTEMBER 2000, PAGES 253-264 1 Perturbation Methods for Interactive Specular
 

Summary: IEEE TRANSACTIONS ON VISUALIZATION AND COMPUTER GRAPHICS, VOL. 6, NO. 3, JULY-SEPTEMBER 2000, PAGES 253-264 1
Perturbation Methods for Interactive Specular
Reflections
Min Chen, James Arvo
Abstract-- We describe a new approach for interactively
approximating specular reflections in arbitrary curved sur-
faces. The technique is applicable to any smooth implicitly-
defined reflecting surface that is equipped with a ray inter-
section procedure; it is also extremely efficient as it employs
local perturbations to interpolate point samples analytically.
After ray tracing a sparse set of reflection paths with respect
to a given vantage point and static reflecting surfaces, the al-
gorithm rapidly approximates reflections of arbitrary points
in 3-space by expressing them as perturbations of nearby
points with known reflections. The reflection of each new
point is approximated to second-order accuracy by applying
a closed-form perturbation formula to one or more nearby
reflection paths. This formula is derived from the Taylor ex-
pansion of a reflection path and is based on first and second-
order path derivatives. After preprocessing, the approach

  

Source: Arvo, Jim - Departments of Information and Computer Science & Electrical and Computer Engineering, University of California, Irvine

 

Collections: Computer Technologies and Information Sciences