Frequency space environment map rendering
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Clustered principal components for precomputed radiance transfer
ACM SIGGRAPH 2003 Papers
A signal-processing framework for reflection
ACM Transactions on Graphics (TOG)
A Fourier Theory for Cast Shadows
IEEE Transactions on Pattern Analysis and Machine Intelligence
Spatiospectral Concentration on a Sphere
SIAM Review
A theory of locally low dimensional light transport
ACM SIGGRAPH 2007 papers
A Wavelet Tour of Signal Processing, Third Edition: The Sparse Way
A Wavelet Tour of Signal Processing, Third Edition: The Sparse Way
A novel hemispherical basis for accurate and efficient rendering
EGSR'04 Proceedings of the Fifteenth Eurographics conference on Rendering Techniques
All-frequency precomputed radiance transfer for glossy objects
EGSR'04 Proceedings of the Fifteenth Eurographics conference on Rendering Techniques
5D Covariance tracing for efficient defocus and motion blur
ACM Transactions on Graphics (TOG)
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Light transport is often characterized within a high-dimensional space although practitioners have long known that it commonly behaves as a much lower-dimensional phenomenon. We study the effective dimension of light transport over a neighborhood on the scene manifold and show that under plausible assumptions the dimensionality is characterized by the spectrum of the spatio-spectral concentration problem. This allows us to improve existing estimates for the dimension in computer graphics using a more insightful derivation and for the first time we obtain optimal representations. The relevance of our results for existing rendering applications is discussed.