Sciweavers

Share
TIT
2002

Poisson intensity estimation for tomographic data using a wavelet shrinkage approach

9 years 3 months ago
Poisson intensity estimation for tomographic data using a wavelet shrinkage approach
We consider a two-dimensional problem of positron emission tomography where the random mechanism of the generation of the tomographic data is modeled by Poisson processes. The goal is to estimate the intensity function which corresponds to emission density. Using the wavelet-vaguelette-decomposition, we propose an estimator based on thresholding of empirical vaguelette coefficients which attains the minimax rates of convergence on Besov function classes. Furthermore we construct an adaptive estimator which attains the optimal rate of convergence up to a logarithmic term. Keywords. Adaptation, Besov spaces, intensity estimation, linear estimators, minimax bound, nonlinear estimators, PET, thresholding, WVD.
L. Cavalier, Ja-Yong Koo
Added 23 Dec 2010
Updated 23 Dec 2010
Type Journal
Year 2002
Where TIT
Authors L. Cavalier, Ja-Yong Koo
Comments (0)
books