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Measuring and Modeling Anisotropic Reflection. Gregory J. Ward Lighting Systems Research Group Lawrence Berkeley Laboratory. Outline. Definition of the BRDF A typical Gonioreflectometer An Imaging Gonioretlectometer Modeling Anisotropic Reflectance Rendering. Definition of the BRDF.
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Measuring and Modeling Anisotropic Reflection Gregory J. Ward Lighting Systems Research Group Lawrence Berkeley Laboratory
Outline • Definition of the BRDF • A typical Gonioreflectometer • An Imaging Gonioretlectometer • Modeling Anisotropic Reflectance • Rendering
Definition of the BRDF Wavelength and polarization are contained implicitly in the function
A typical Gonioreflectometer Designed by Murray – Coleman and Smith
An Imaging Gonioretlectometer • Key elements • A half–silvered hemisphere • A sample target holder • A CCD camera with fisheye lens • Measuring step • Light reflect off the sample surface • The mirror collect it • Then reflect back into the lens and CCD array
An Imaging Gonioretlectometer (Side view)
An Imaging Gonioretlectometer (Front View)
Recovering the reflected angles • Two step • First Determine mapping function from pixel location to lens incident direction • Second compute reflection angles from camera incident angles • A captured image
Measurement Limitations • Limited to measure the reflectance function near grazing angles • Limited to measure more polished surface with sharp specular peaks
Modeling Anisotropic Reflectance • Directly using the data or using series approximation • impractical • Some model published for anisotropic case • may not fit measured data • Use Gaussian Model
Rendering • An unbiased and low variance approximation of rendering equation required but • Either unbiased and high variance • Or low variance and biased • Hybrid can be used! • deterministic solution for source contributions • stochastic sampling for indirect contributions
Rendering Deterministic without sampling solely on stochastic sampling hybrid method.
Rendering photograph Deterministic and isotropic Gaussian model Hybrid and anisotropic Gaussian model