Title :
Wavelet shrinkage in tomography
Author :
Kolaczyk, Eric D.
Author_Institution :
Dept. of Stat., Chicago Univ., IL, USA
Abstract :
We use wavelet shrinkage methods to reconstruct images from tomographic data. Within the framework of Donoho´s wavelet-vaguelette decomposition, we create a multiresolution analogue of the traditional filtering of backprojected projections approach to compute the empirical wavelet coefficients in an efficient manner. Level-dependent thresholds are used in shrinking these coefficients to accommodate the ill-posedness of the problem. Inversion of the result yields a denoised reconstruction of the underlying image with respect to a 2D wavelet basis
Keywords :
computerised tomography; 2D wavelet basis; Donoho wavelet-vaguelette decomposition; backprojected projections; denoised reconstruction; empirical wavelet coefficients; filtering; image reconstruction; inversion; level-dependent thresholds; multiresolution analogue; positron emission tomography; tomographic data; tomography; wavelet shrinkage; Analog computers; Filtering; Gaussian noise; Image reconstruction; Minimax techniques; Noise level; Statistics; Tomography; Wavelet coefficients; Wavelet transforms;
Conference_Titel :
Engineering in Medicine and Biology Society, 1994. Engineering Advances: New Opportunities for Biomedical Engineers. Proceedings of the 16th Annual International Conference of the IEEE
Conference_Location :
Baltimore, MD
Print_ISBN :
0-7803-2050-6
DOI :
10.1109/IEMBS.1994.415395
