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.
| Original language | English |
|---|---|
| Title of host publication | 2014 IEEE International Conference on Image Processing, Paris |
| Publisher | IEEE - Institute of Electrical and Electronics Engineers Inc. |
| Number of pages | 5 |
| DOIs | |
| Publication status | Published - 2014 |
| Externally published | Yes |
Subject classification (UKÄ)
- Probability Theory and Statistics