TY - JOUR
T1 - A fast computation method for time scale signal denoising
AU - Bruni, Vittoria
AU - Piccoli, Benedetto
AU - Vitulano, Domenico
N1 - Funding Information:
Acknowledgments The work has been funded by the Italian Ministry of University and Research, FIRB Project RBNE039LLC. The Authors would like to thank the anonymous Reviewers for their helpful suggestions and insightful comments that greatly improved the paper.
PY - 2009/5
Y1 - 2009/5
N2 - This paper presents a novel and fast scheme for signal denoising in the wavelet domain. It exploits the time scale structure of the wavelet coefficients by modeling them as superposition of simple atoms, whose spreading in the time scale plane formally is the solution of a couple of differential equations. In this paper, we will show how the numerical solution of such equations can be avoided leading to a speed up of the scale linking computation. This result is achieved through a suitable projection space of the wavelet local extrema, requiring just least squares and filtering operations. Intensive experimental results show the competitive performances of the proposed approach in terms of signal to noise ratio (SNR), visual quality and computing time.
AB - This paper presents a novel and fast scheme for signal denoising in the wavelet domain. It exploits the time scale structure of the wavelet coefficients by modeling them as superposition of simple atoms, whose spreading in the time scale plane formally is the solution of a couple of differential equations. In this paper, we will show how the numerical solution of such equations can be avoided leading to a speed up of the scale linking computation. This result is achieved through a suitable projection space of the wavelet local extrema, requiring just least squares and filtering operations. Intensive experimental results show the competitive performances of the proposed approach in terms of signal to noise ratio (SNR), visual quality and computing time.
KW - Image and signal denoising
KW - Modulus maxima representation
KW - Time frequency atoms
KW - Time scale trajectories
KW - Wavelet transform
UR - http://www.scopus.com/inward/record.url?scp=68249140854&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=68249140854&partnerID=8YFLogxK
U2 - 10.1007/s11760-008-0060-9
DO - 10.1007/s11760-008-0060-9
M3 - Article
AN - SCOPUS:68249140854
VL - 3
SP - 63
EP - 83
JO - Signal, Image and Video Processing
JF - Signal, Image and Video Processing
SN - 1863-1703
IS - 1
ER -