Matched filter reconstruction from tomographic projections

Christian Kappeler

doi:10.1117/12.255285

23 October 1996 Matched filter reconstruction from tomographic projections

Christian Kappeler

Proceedings Volume 2825, Wavelet Applications in Signal and Image Processing IV; (1996) https://doi.org/10.1117/12.255285
Event: SPIE's 1996 International Symposium on Optical Science, Engineering, and Instrumentation, 1996, Denver, CO, United States

Abstract

3D data acquisition is increasingly used in positron emission tomography (PET) to collect a larger fraction of the emitted radiation. Major practical difficulties with 3D- PET arise from large sizes of the data sets and reconstruction times. To take advantage of lossy compression we have developed an algorithm with possibility of compression built into. iT is based on a complete and orthonormal system of 2D wavelets and uses the technique of matched filters. These matched filters are obtained by mapping each 2D wavelet component with the model of the data acquisition geometry. The resulting projection images are convolved with a Ramachandran-Lakshminarayanan filter and multiplied with the projection data. The values of these scalar products in projection space are equal to the contribution of the given 2D wavelet component in the unknown object. This allows for reducing the number of matched filters used by application of a simple thresholding criterion in frequency space.

Citation Download Citation

Christian Kappeler "Matched filter reconstruction from tomographic projections", Proc. SPIE 2825, Wavelet Applications in Signal and Image Processing IV, (23 October 1996); https://doi.org/10.1117/12.255285

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