Starlet transform in astronomical data processing

Jean Luc Starck, Fionn Murtagh, Mario Bertero

Research output: Chapter in Book/Report/Conference proceedingChapter

2 Citations (Scopus)

Abstract

We begin with traditional source detection algorithms in astronomy. We then introduce the sparsity data model. The starlet wavelet transform serves as our main focus in this article. Sparse modeling and noise modeling are described. Applications to object detection and characterization, and to image filtering and deconvolution, are discussed. The multiscale vision model is a further development of this work, which can allow for image reconstruction when the point spread function is not known or not known well. Bayesian and other algorithms are described for image restoration. A range of examples is used to illustrate the algorithms.

Original languageEnglish
Title of host publicationHandbook of Mathematical Methods in Imaging
EditorsOtmar Scherzer
PublisherSpringer New York
Pages2053-2098
Number of pages46
Volume1
ISBN (Electronic)9781493907908
ISBN (Print)9781493907892
DOIs
Publication statusPublished - 30 May 2015
Externally publishedYes

Fingerprint

Transform
Image reconstruction
Astronomy
Image Filtering
Wavelet Analysis
Computer-Assisted Image Processing
Image Restoration
Object Detection
Optical transfer function
Deconvolution
Image Reconstruction
Sparsity
Modeling
Data Model
Wavelet transforms
Wavelet Transform
Data structures
Noise
Range of data
Model

Cite this

Starck, J. L., Murtagh, F., & Bertero, M. (2015). Starlet transform in astronomical data processing. In O. Scherzer (Ed.), Handbook of Mathematical Methods in Imaging (Vol. 1, pp. 2053-2098). Springer New York. https://doi.org/10.1007/978-1-4939-0790-8_34
Starck, Jean Luc ; Murtagh, Fionn ; Bertero, Mario. / Starlet transform in astronomical data processing. Handbook of Mathematical Methods in Imaging. editor / Otmar Scherzer. Vol. 1 Springer New York, 2015. pp. 2053-2098
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Starck, JL, Murtagh, F & Bertero, M 2015, Starlet transform in astronomical data processing. in O Scherzer (ed.), Handbook of Mathematical Methods in Imaging. vol. 1, Springer New York, pp. 2053-2098. https://doi.org/10.1007/978-1-4939-0790-8_34

Starlet transform in astronomical data processing. / Starck, Jean Luc; Murtagh, Fionn; Bertero, Mario.

Handbook of Mathematical Methods in Imaging. ed. / Otmar Scherzer. Vol. 1 Springer New York, 2015. p. 2053-2098.

Research output: Chapter in Book/Report/Conference proceedingChapter

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Starck JL, Murtagh F, Bertero M. Starlet transform in astronomical data processing. In Scherzer O, editor, Handbook of Mathematical Methods in Imaging. Vol. 1. Springer New York. 2015. p. 2053-2098 https://doi.org/10.1007/978-1-4939-0790-8_34