Moments in Graphics
A blog by Christoph Peters

Derivatives of Spherical Harmonics

Christoph Peters.
2025–06 in High-Performance Graphics 2025. Poster.

Abstract

This poster presents formulas to compute partial derivatives of any order for the spherical harmonics basis. The key insight is that intermediate results from the usual evaluation of spherical harmonics provide everything that is needed for this purpose. Therefore, the computational cost is negligible.

Images

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Notes

This work has been presented at HPG 2025 on June 24th 2025. The author's version has been published on June 15th.