Title

Fast Approximation To Spherical Harmonics Rotation

Abstract

We present a fast and simple approximation of spherical harmonic rotation which decreases the asymptotic complexity and achieves a speedup of four to six in practical applications. The rotation procedure's simplicity allows implementation in a pixel shader of standard graphics hardware. The main idea is to replace the general spherical harmonic rotation matrix by its truncated Taylor expansion, resulting in a sparse matrix. We show applications in global illumination (radiance interpolation) and GPU-based real-time shading (normal mapping on surfaces with arbitrary BRDFs illuminated by low-frequency environment lighting). Although the rotation approximation is accurate only for small rotation angles, we show this is not a serious limitation in our applications.

Publication Date

12-1-2006

Publication Title

ACM SIGGRAPH 2006: Sketches, SIGGRAPH '06

Number of Pages

-

Document Type

Article; Proceedings Paper

Personal Identifier

scopus

DOI Link

https://doi.org/10.1145/1179849.1180042

Socpus ID

77951549360 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/77951549360

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