Statistical properties of spherical wavelets systems
(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:
https://lup.lub.lu.se/record/3bef79c3-11be-48ff-8921-f1d7169da981
- author
- Marinucci, Domenico and Vadlamani, Sreekar LU
- publishing date
- 2014
- 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
- 2022-01-31 17:43:06
@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}}, }