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  Spherical Harmonic Gradients for Mid-Range Illumination

Annen, T., Kautz, J., Durand, F., & Seidel, H.-P. (2004). Spherical Harmonic Gradients for Mid-Range Illumination. In A. Keller, & H. Jensen (Eds.), Rendering Techniques 2004 (pp. 331-336). Aire-la-Ville, Switzerland: The Eurographics Association.

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 Creators:
Annen, Thomas1, Author           
Kautz, Jan1, Author           
Durand, Frédo2, Author
Seidel, Hans-Peter1, Author                 
Affiliations:
1Computer Graphics, MPI for Informatics, Max Planck Society, ou_40047              
2External Organizations, ou_persistent22              

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 Abstract: Spherical harmonics are often used for compact description of
incident radiance in low-frequency but distant lighting
environments. For interaction with nearby emitters, computing
the incident radiance at the center of an object only is
not sufficient. Previous techniques then require expensive
sampling of the incident radiance field at many points
distributed over the object. Our technique alleviates this
costly requirement using a first-order Taylor expansion of the
spherical-harmonic lighting coefficients around a point. We
propose an interpolation scheme based on these gradients
requiring far fewer samples (one is often sufficient). We show
that the gradient of the incident-radiance spherical harmonics
can be computed for little additional cost compared to the
coefficients alone. We introduce a semi-analytical formula to
calculate this gradient at run-time and describe how a simple vertex shader can
interpolate the shading. The interpolated
representation of the incident radiance can be used with any
low-frequency light-transfer technique.

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Language(s): eng - English
 Dates: 2005-05-242004
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 231868
Other: Local-ID: C125675300671F7B-8DECFDE55BFA3E80C1256EBE0030D372-Annen:EGSR:2004
BibTex Citekey: Annen-et-al_EGSR04
DOI: 10.2312/EGWR/EGSR04/331-336
 Degree: -

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Title: 15th Eurographics Symposium on Rendering Techniques
Place of Event: Norrköping, Sweden
Start-/End Date: 2004-06-21 - 2004-06-23

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Source 1

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Title: Rendering Techniques 2004
  Abbreviation : EGSR 2004
Source Genre: Proceedings
 Creator(s):
Keller, Alexander1, Editor
Jensen, Henrik1, Editor
Affiliations:
1 External Organizations, ou_persistent22            
Publ. Info: Aire-la-Ville, Switzerland : The Eurographics Association
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 331 - 336 Identifier: ISBN: 3-905673-12-6