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Spherical harmonics scaling

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Abstract

In this paper, we present a new SH operation, called spherical harmonics scaling, to shrink or expand a spherical function in the frequency domain. We show that this problem can be elegantly formulated as a linear transformation of SH projections, which is efficient to compute and easy to implement on a GPU. Spherical harmonics scaling is particularly useful for extrapolating visibility and radiance functions at a sample point to points closer to or farther from an occluder or light source. With SH scaling, we present applications to low-frequency shadowing for general deformable object, and to efficient approximation of spherical irradiance functions within a mid-range illumination environment.

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Authors and Affiliations

  1. Microsoft Research Asia, Beijing, China

    Kun Zhou, Stephen Lin & Baining Guo

  2. Institute of Computing Technology, Graduated School, Chinese Academy of Science, Beijing, China

    Jiaping Wang

  3. Tsinghua University, Beijing, China

    Kun Xu & Shimin Hu

Authors
  1. Jiaping Wang
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  2. Kun Xu
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  3. Kun Zhou
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  4. Stephen Lin
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  5. Shimin Hu
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  6. Baining Guo
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Correspondence to Kun Zhou.

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Wang, J., Xu, K., Zhou, K. et al. Spherical harmonics scaling . Visual Comput 22, 713–720 (2006). https://doi.org/10.1007/s00371-006-0057-8

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  • DOI: https://doi.org/10.1007/s00371-006-0057-8

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