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Tomographic reconstruction with non-linear diagonal estimators

Jerome Kalifa; Andrew F. Laine; Peter D. Esser

Title:
Tomographic reconstruction with non-linear diagonal estimators
Author(s):
Kalifa, Jerome
Laine, Andrew F.
Esser, Peter D.
Date:
Type:
Articles
Department:
Biomedical Engineering
Permanent URL:
Book/Journal Title:
Wavelet applications in signal and image processing VIII : 31 July-4 August 2000, San Diego, USA ; Proceedings of SPIE, vol. 4119
Book Author:
Aldroubi, Akram
Publisher:
SPIE
Publisher Location:
Bellingham, Wash.
Abstract:
In tomographic reconstruction, the inversion of the Radon transform in the presence of noise is numerically unstable. Reconstruction estimators are studied where the regularization is performed by a thresholding in a wavelet or wavelet packet decomposition. These estimators are efficient and their optimality can be established when the decomposition provides a near-diagonalization of the inverse Radon transform operator and a compact representation of the object to be recovered. Several new estimators are investigated in different decomposition. First numerical results already exhibit a strong metrical and perceptual improvement over current reconstruction methods. These estimators are implemented with fast non-iterative algorithms, and are expected to outperform Filtered Back-Projection and iterative procedures for PET, SPECT and X-ray CT devices.
Subject(s):
Biomedical engineering
Publisher DOI:
10.1117/12.408646
Item views:
228
Metadata:
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