Numerical recipes in C (2nd ed.): the art of scientific computing
Numerical recipes in C (2nd ed.): the art of scientific computing
An efficient representation for irradiance environment maps
Proceedings of the 28th 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
Advanced Lighting and Materials With Shaders
Advanced Lighting and Materials With Shaders
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Writing Scientific Software: A Guide to Good Style
Writing Scientific Software: A Guide to Good Style
An Interactive 3D Exhibition System with Global Illumination for Digital Museum
Edutainment '09 Proceedings of the 4th International Conference on E-Learning and Games: Learning by Playing. Game-based Education System Design and Development
Sparse zonal harmonic factorization for efficient SH rotation
ACM Transactions on Graphics (TOG)
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Spherical harmonic (SH) lighting models require efficient and general libraries for evaluation of SH functions and of Wigner matrices for rotation. We introduce an efficient algebraic recurrence for evaluation of SH functions, and also implement SH rotation via Wigner matrices constructed for the real SH basis by a recurrence. Using these algorithms, we provide a freely distributable C / OpenGL implementation for SH diffuse unshadowed, shadowed and inter-reflected models. Our implementation allows flexible switching of scene, light probe, SH degree and lighting model at run time.