RAY DENSITY ANALYSIS FOR VIRTUAL SPECTROPHOTOMETERS
Date
1999-03-01
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Abstract
Virtual spectrophotometric measurements have important applications in
physically-based rendering. These measurements can be used to evaluate
reflectance and transmittance models through comparisons with actual
spectrophotometric measurements. Moreover, they can also be used to
generate spectrophotometric data, which are dependent either on the
wavelength or on the illuminating geometry of the incident radiation,
from previously validated models. In this paper the ray casting based
formulation for virtual spectrophotometers is discussed, and a mathematical
bound, based on probability theory, is proposed to determine the number of
rays needed to obtain asymptotically convergent readings. Specifically, the
exponential Chebyshev inequality is introduced to determine the ray density
required to obtain reflectance and transmittance measurements with a high
reliability/cost ratio. Practical experiments are provided to illustrate
the validity and usefulness of the proposed approach.
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Computer Science