Spherical Harmonic Amplitudes From Grid Data

Details Spherical Harmonic Amplitudes From Grid Data Spherical Harmonic Amplitudes From Grid Data

2006-06-29

arxiv.org/abs/gr-qc/0606127v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, 4 figures

Scientific paper

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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