Quick survey about PRT. Valentin JANIAUT KAIST (Korea Advanced Institute of Science and Technology). Some Math before. Wavelet Spherical Harmonic Spherical Radial Basis Function. Wavelet: How to compress signal. Goal: Express a function as a set of coefficients. Sum of sinus and cosinus.
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KAIST (Korea Advanced Institute of Science and Technology)
Goal: Express a function as a set of coefficients.
Sum of sinus and cosinus.
NO TIME (OR SPACE) RESOLUTION
Fourier transform restricted to cosinus.
Cut the signal into different window for better analysis.
How to integrate the rendering equation over large-scale lighting environment?
Precomputed Radiance Transfer for Real-Time Rendering in dynamic, low-frequency lighting environment. [Sloan]
Clustered principal components for precomputed radiance transfer. [Sloan]
All frequency shadows using non-linear wavelet lighting approximation. [Ng]
Precomputed Radiance Transfer: Theory and Practice SIGGRAPH05 Course
All frequency interactive relighting of translucent objects with Single and Multiple Scattering. [Wang]
Importance sampling of products from illumination and BRDF using spherical radial basis functions. [Tsai]
Real-time editing and relighting of homogeneous translucent materials. [Wang]
All-frequency Rendering of Dynamic, Spatially-Varying Reflectance. [Wang]
B = TL
T is precomputed into Wavelet like in [Ng].
Implemented using marschner model.
Extract the SRBF coefficient using L-BFGS-B solver like [Tsai08]
DOES NOT SOLVE THE HAIR GEOMETRY DEPENDANT TERMS