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
Digital image processing (2nd ed.)
Digital image processing (2nd ed.)
Predicting reflectance functions from complex surfaces
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Spherical wavelets: efficiently representing functions on the sphere
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Bernstein-Be´zier polynomials on spheres and sphere-like surfaces
Computer Aided Geometric Design
Multiresolution analysis for surfaces of arbitrary topological type
ACM Transactions on Graphics (TOG)
Fitting scattered data on sphere-like surfaces using spherical splines
Journal of Computational and Applied Mathematics - Special issue on scattered data
VIS '97 Proceedings of the 8th conference on Visualization '97
Wavelets for computer graphics: theory and applications
Wavelets for computer graphics: theory and applications
Optimal triangular Haar bases for spherical data
VIS '99 Proceedings of the conference on Visualization '99: celebrating ten years
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
Bidirectional Reflection Distribution Function Expressed in Terms of Surface Scattering Modes
ECCV '96 Proceedings of the 4th European Conference on Computer Vision-Volume II - Volume II
All-frequency shadows using non-linear wavelet lighting approximation
ACM SIGGRAPH 2003 Papers
Triple product wavelet integrals for all-frequency relighting
ACM SIGGRAPH 2004 Papers
Precomputed shadow fields for dynamic scenes
ACM SIGGRAPH 2005 Papers
Local, deformable precomputed radiance transfer
ACM SIGGRAPH 2005 Papers
View-dependent precomputed light transport using nonlinear Gaussian function approximations
I3D '06 Proceedings of the 2006 symposium on Interactive 3D graphics and games
Generalized wavelet product integral for rendering dynamic glossy objects
ACM SIGGRAPH 2006 Papers
Real-time triple product relighting using spherical local-frame parameterization
The Visual Computer: International Journal of Computer Graphics
A novel hemispherical basis for accurate and efficient rendering
EGSR'04 Proceedings of the Fifteenth Eurographics conference on Rendering Techniques
Efficient wavelet rotation for environment map rendering
EGSR'06 Proceedings of the 17th Eurographics conference on Rendering Techniques
Precomputation-Based Rendering
Foundations and Trends® in Computer Graphics and Vision
Uniformly sampling multi-resolution analysis for image-based relighting
Journal of Visual Communication and Image Representation
Continuous and discrete Mexican hat wavelet transforms on manifolds
Graphical Models
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We propose the SOHO wavelet basis—the first spherical Haar wavelet basis that is both orthogonal and symmetric, making it particularly well suited for the approximation and processing of all-frequency signals on the sphere. We obtain the basis with a novel spherical subdivision scheme that defines a partition acting as the domain of the basis functions. Our construction refutes earlier claims doubting the existence of a basis that is both orthogonal and symmetric. Experimental results for the representation of spherical signals verify that the superior theoretical properties of the SOHO wavelet basis are also relevant in practice.