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Wavelet smoothing for curves in more than one dimension
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Pigoli, Davide and Sangalli, Laura M. (2010) Wavelet smoothing for curves in more than one dimension. In: 45th Scientific Meeting of the Italian Statistical Society, Padua, Italy, 29 Jun- 1 Jul 2010. Published in: Proceedings of SIS 2010 ISBN 9788861295667.
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Official URL: http://www.sis-statistica.it/meetings/index.php/si...
Abstract
The estimation of smooth functions from their noisy and discrete observation is the first step in Functional Data Analysis. The choice of the basis functions is crucial in the process, since its properties influence the subsequent analysis.
Wavelets offer functional basis systems with the property of localization both in space and frequency. We developed a procedure to use wavelet bases for the estimation of curves in more than one dimension, with a particular focus on the possibility of obtaining also estimates of curves derivatives from wavelet expansion. This method is tested on the estimation of centreline and radius of the Internal Carotid Artery (ICA) for patients suspected to be affected by cerebral aneurism
Item Type: | Conference Item (Paper) | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Statistics | ||||
Journal or Publication Title: | Proceedings of SIS 2010 | ||||
Publisher: | SIS | ||||
ISBN: | 9788861295667 | ||||
Official Date: | 2010 | ||||
Dates: |
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Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Conference Paper Type: | Paper | ||||
Title of Event: | 45th Scientific Meeting of the Italian Statistical Society | ||||
Type of Event: | Conference | ||||
Location of Event: | Padua, Italy | ||||
Date(s) of Event: | 29 Jun- 1 Jul 2010 |
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