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Difference image analysis : automatic kernel design using information criteria

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Horne_2016_ImageAnalysis_MNRAS_FinalPubVersion.pdf (30.15Mb)
Date
21/03/2016
Author
Bramich, D. M.
Horne, Keith Douglas
Alsubai, K. A.
Bachelet, E.
Mislis, D.
Parley, N.
Keywords
Methods: data analysis
Methods: statistical
Techniques: image processing
Techniques: photometric
QB Astronomy
QC Physics
NDAS
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Abstract
We present a selection of methods for automatically constructing an optimal kernel model for difference image analysis which require very few external parameters to control the kernel design. Each method consists of two components; namely, a kernel design algorithm to generate a set of candidate kernel models, and a model selection criterion to select the simplest kernel model from the candidate models that provides a sufficiently good fit to the target image. We restricted our attention to the case of solving for a spatially invariant convolution kernel composed of delta basis functions, and we considered 19 different kernel solution methods including six employing kernel regularization. We tested these kernel solution methods by performing a comprehensive set of image simulations and investigating how their performance in terms of model error, fit quality, and photometric accuracy depends on the properties of the reference and target images. We find that the irregular kernel design algorithm employing unregularized delta basis functions, combined with either the Akaike or Takeuchi information criterion, is the best kernel solution method in terms of photometric accuracy. Our results are validated by tests performed on two independent sets of real data. Finally, we provide some important recommendations for software implementations of difference image analysis.
Citation
Bramich , D M , Horne , K D , Alsubai , K A , Bachelet , E , Mislis , D & Parley , N 2016 , ' Difference image analysis : automatic kernel design using information criteria ' , Monthly Notices of the Royal Astronomical Society , vol. 457 , no. 1 , pp. 542-574 . https://doi.org/10.1093/mnras/stv2910
Publication
Monthly Notices of the Royal Astronomical Society
Status
Peer reviewed
DOI
https://doi.org/10.1093/mnras/stv2910
ISSN
0035-8711
Type
Journal article
Rights
© 2016 The Authors. This work is made available online in accordance with the publisher’s policies. This is the final published version of the work, which was originally published at https://dx.doi.org/10.1093/mnras/stv2910
Description
This publication was made possible by NPRP grant # X-019-1-006 from the Qatar National Research Fund (a member of Qatar Foundation).
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  • University of St Andrews Research
URI
http://hdl.handle.net/10023/8503

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