Data fitting on a spherical shell

Javier Sanchez-Mondragon; Margarita Tecpoyotl-Torres; J. Amparo Andrade-Lucio; Miguel Torres-Cisneros; Abundio Davila-Alvarez; Martin Carpio-Valadez

doi:10.1117/12.507393

10 November 2003 Data fitting on a spherical shell

Javier Sanchez-Mondragon, Margarita Tecpoyotl-Torres, J. Amparo Andrade-Lucio, Miguel Torres-Cisneros, Abundio Davila-Alvarez, Martin Carpio-Valadez

Author Affiliations +

Proceedings Volume 5181, Wave Optics and Photonic Devices for Optical Information Processing II; (2003) https://doi.org/10.1117/12.507393
Event: Optical Science and Technology, SPIE's 48th Annual Meeting, 2003, San Diego, California, United States

Abstract

We present in this paper a data fitting method that analyzes a spherical shell that uses the near orthogonality of the Spherical Harmonics Y_lm(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 Y_lm(Θ,Φ) on a discrete and often irregular data set on a spherical shell.

Citation Download Citation

Javier Sanchez-Mondragon, Margarita Tecpoyotl-Torres, J. Amparo Andrade-Lucio, Miguel Torres-Cisneros, Abundio Davila-Alvarez, and Martin Carpio-Valadez "Data fitting on a spherical shell", Proc. SPIE 5181, Wave Optics and Photonic Devices for Optical Information Processing II, (10 November 2003); https://doi.org/10.1117/12.507393

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available