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Statistical properties of spherical wavelets systems

Marinucci, Domenico and Vadlamani, Sreekar LU (2014)
Abstract
We review some spherical wavelets systems and their statistical properties, with a view to applications in Cosmological/Astrophysical data analysis. In particular, we consider the analysis of Gaussian, isotropic random fields, and we focus on the geometric characterization of wavelet fields emerging in band-limited reconstructions. More precisely, we recall how to provide exact expression for Minkowski functionals evaluated on needlet fields, and how to exploit them to derive sharp bounds on excursion probabilities; the latter provide flexible tools to test for nonGaussianity and anisotropies on CMB data.
Please use this url to cite or link to this publication:
author
and
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
host publication
2014 IEEE International Conference on Image Processing, Paris
pages
5 pages
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • scopus:84949926867
DOI
10.1109/ICIP.2014.7026213
language
English
LU publication?
no
id
3bef79c3-11be-48ff-8921-f1d7169da981
date added to LUP
2019-02-14 14:04:24
date last changed
2025-10-14 12:59:03
@inproceedings{3bef79c3-11be-48ff-8921-f1d7169da981,
  abstract     = {{We review some spherical wavelets systems and their statistical properties, with a view to applications in Cosmological/Astrophysical data analysis. In particular, we consider the analysis of Gaussian, isotropic random fields, and we focus on the geometric characterization of wavelet fields emerging in band-limited reconstructions. More precisely, we recall how to provide exact expression for Minkowski functionals evaluated on needlet fields, and how to exploit them to derive sharp bounds on excursion probabilities; the latter provide flexible tools to test for nonGaussianity and anisotropies on CMB data.}},
  author       = {{Marinucci, Domenico and Vadlamani, Sreekar}},
  booktitle    = {{2014 IEEE International Conference on Image Processing, Paris}},
  language     = {{eng}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  title        = {{Statistical properties of spherical wavelets systems}},
  url          = {{http://dx.doi.org/10.1109/ICIP.2014.7026213}},
  doi          = {{10.1109/ICIP.2014.7026213}},
  year         = {{2014}},
}