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2003•Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIERequires access

Data fitting on a spherical shell

J. Sánchez-Mondragón, M. Tecpoyotl‐Torres, José A. Andrade-Lucio, M. Torres‐Cisneros, Abundio Dávila, Martín Carpio

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Abstract

We present in this paper a data fitting method that analyzes a spherical shell that uses the near orthogonality of the Spherical Harmonics Ylm(Θ,Φ) within a discrete data collected on a spherical shell to obtain the best rms fit. This is obtained through the generation of an orthogonal basis from the spherical harmonics Ylm(Θ,Φ) on a discrete and often irregular data set on a spherical shell.

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What this paper is about

We present in this paper a data fitting method that analyzes a spherical shell that uses the near orthogonality of the Spherical Harmonics Ylm(Θ,Φ) within a discrete data collected on a spherical shell to obtain the best rms fit. This is obtained through the generation of an orthogonal basis from the spherical harmonics Ylm(Θ,Φ) on a discrete and often irregular data set on a spherical shell.

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Available abstract

We present in this paper a data fitting method that analyzes a spherical shell that uses the near orthogonality of the Spherical Harmonics Ylm(Θ,Φ) within a discrete data collected on a spherical shell to obtain the best rms fit. This is obtained through the generation of an orthogonal basis from the spherical harmonics Ylm(Θ,Φ) on a discrete and often irregular data set on a spherical shell.

Key concepts: Spherical harmonics, Spherical shell, Orthogonality, Zonal spherical harmonics, Spin-weighted spherical harmonics, Shell (structure), Spherical mean, Vector spherical harmonics

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