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Polar shapelets

Massey, R.; Refregier, A.

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Authors

A. Refregier



Abstract

The shapelets method for image analysis is based upon the decomposition of localized objects into a series of orthogonal components with convenient mathematical properties. We extend the ‘Cartesian shapelet’ formalism from earlier work, and construct ‘polar shapelet’ basis functions that separate an image into components with explicit rotational symmetries. These frequently provide a more compact parametrization, and can be interpreted in an intuitive way. Image manipulation in shapelet space is simplified by the concise expressions for linear coordinate transformations, and shape measures (including object photometry, astrometry and galaxy morphology estimators) take a naturally elegant form. Particular attention is paid to the analysis of astronomical survey images, and we test shapelet techniques upon real data from the Hubble Space Telescope. We present a practical method to automatically optimize the quality of an arbitrary shapelet decomposition in the presence of observational noise, pixelization and a point spread function. A central component of this procedure is the adaptive choice of the scale size and the truncation order of the shapelet expansion. A complete software package to perform shapelet image analysis is made available on the World Wide Web.

Citation

Massey, R., & Refregier, A. (2005). Polar shapelets. Monthly Notices of the Royal Astronomical Society, 363(1), 197-210. https://doi.org/10.1111/j.1365-2966.2005.09453.x

Journal Article Type Article
Publication Date Oct 11, 2005
Deposit Date Mar 21, 2013
Publicly Available Date Jan 29, 2015
Journal Monthly Notices of the Royal Astronomical Society
Print ISSN 0035-8711
Electronic ISSN 1365-2966
Publisher Royal Astronomical Society
Peer Reviewed Peer Reviewed
Volume 363
Issue 1
Pages 197-210
DOI https://doi.org/10.1111/j.1365-2966.2005.09453.x
Keywords Methods: analytical, Methods: data analysis, Techniques: image processing, Galaxies: fundamental parameters.

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Copyright Statement
This article has been accepted for publication in Monthly Notices of the Royal Astronomical Society ©: 2005 The Authors. Published by Oxford University Press on behalf of The Royal Astronomical Society. All rights reserved.







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