SIGGRAPH '86 Proceedings of the 13th annual conference on Computer graphics and interactive techniques
Bidirectional reflection functions from surface bump maps
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
A global illumination solution for general reflectance distributions
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Vector quantization and signal compression
Vector quantization and signal compression
Predicting reflectance functions from complex surfaces
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Global illumination of glossy environments using wavelets and importance
ACM Transactions on Graphics (TOG)
Interactive multiresolution surface viewing
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Real-time rendering
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Frequency space environment map rendering
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Fast, arbitrary BRDF shading for low-frequency lighting using spherical harmonics
EGRW '02 Proceedings of the 13th Eurographics workshop on Rendering
Interactive Relighting of Panoramas
IEEE Computer Graphics and Applications
IEEE Transactions on Pattern Analysis and Machine Intelligence
Image-based Rendering with Controllable Illumination
Proceedings of the Eurographics Workshop on Rendering Techniques '97
ACM SIGGRAPH 2003 Papers
Clustered principal components for precomputed radiance transfer
ACM SIGGRAPH 2003 Papers
The plenoptic illumination function
IEEE Transactions on Multimedia
Comparison of different methods of classification in subband coding of images
IEEE Transactions on Image Processing
A new, fast, and efficient image codec based on set partitioning in hierarchical trees
IEEE Transactions on Circuits and Systems for Video Technology
Compression of illumination-adjustable images
IEEE Transactions on Circuits and Systems for Video Technology
Compressing the illumination-adjustable images with principal component analysis
IEEE Transactions on Circuits and Systems for Video Technology
Two regularizers for recursive least squared algorithms in feedforward multilayered neural networks
IEEE Transactions on Neural Networks
A novel hemispherical basis for accurate and efficient rendering
EGSR'04 Proceedings of the Fifteenth Eurographics conference on Rendering Techniques
Image-based BRDF measurement including human skin
EGWR'99 Proceedings of the 10th Eurographics conference on Rendering
Analysis on Bidirectional Associative Memories with Multiplicative Weight Noise
Neural Information Processing
Representing images of a rotating object with cyclic permutation for view-based pose estimation
Computer Vision and Image Understanding
IEEE Transactions on Neural Networks
Efficient irradiance normal mapping
Proceedings of the 2010 ACM SIGGRAPH symposium on Interactive 3D Graphics and Games
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Spherical harmonic (SH) basis functions have been widely used for representing spherical functions in modeling various illumination properties. They can compactly represent low-frequency spherical functions. However, when the unconstrained least square method is used for estimating the SH coefficients of a hemispherical function, the magnitude of these SH coefficients could be very large. Hence, the rendering result is very sensitive to quantization noise (introduced by modern texture compression like S3TC, IEEE half float data type on GPU, or other lossy compression methods) in these SH coefficients. Our experiments show that, as the precision of SH coefficients is reduced, the rendered images may exhibit annoying visual artifacts. To reduce the noise sensitivity of the SH coefficients, this paper first discusses how the magnitude of SH coefficients affects the rendering result when there is quantization noise. Then, two fast fitting methods for estimating the noise-resistant SH coefficients are proposed. They can effectively control the magnitude of the estimated SH coefficients and, hence, suppress the rendering artifacts. Both statistical and visual results confirm our theory.