Tomographic reconstruction with non-linear diagonal estimators

Articles:

Title:: Tomographic reconstruction with non-linear diagonal estimators
Author(s):: Kalifa, Jerome
Laine, Andrew F.
Esser, Peter D.
Date:: 2000
Type:: Articles
Department:: Biomedical Engineering
Permanent URL:: http://hdl.handle.net/10022/AC:P:9534
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
DOI:: 10.1117/12.408646