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Spherical Harmonic Amplitudes From Grid Data

Mark E. Rupright
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Abstract

The problem of resolving spherical harmonic components from numerical data defined on a rectangular grid has many applications, particularly for the problem of gravitational radiation extraction. A novel method due to Misner improves on traditional techniques by avoiding the need to cover the sphere with a coordinate system appropriate to the grid geometry. This paper will discuss Misner's method and suggest how it can be improved by exploiting local regression techniques.

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Mark E. Rupright. 2006-06-29. Spherical Harmonic Amplitudes From Grid Data. https://arxiv.org/abs/gr-qc/0606127

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