Abstract
A new localized computerized tomography technique based on the multiresolution analysis (MRA) implementation of the discrete wavelet transform is proposed. Our technique is based upon viewing the projection data as a set of one-dimensional functions of the space variablet and decomposing each one into an approximation signal and a set of detail signals using MRA. The approximation signal and detiil signals associated with each projection are filtered using the ramp filter |ω| of the standard reconstruction technique filtered back projection to generate the set of filtered projections. It is shown that only a very sparse set of projection data outside of the region of interest (ROI) is required to reconstruct a high-quality image of the ROI and a reasonable image outside of the ROI. Simulation results using the Shepp-Logan head phantom are presented to demonstrate the proposed technique.
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Smith, B.J., Adhami, R.R. Enhanced localized computerized tomography employing the discrete wavelet transform. Circuits Systems and Signal Process 19, 399–409 (2000). https://doi.org/10.1007/BF01196154
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DOI: https://doi.org/10.1007/BF01196154