Fourier Method For Correction Of Depth-Dependent Collimator Blurring

Robert M. Lewitt; Paul R. Edholm; Weishi Xia

doi:10.1117/12.953264

25 May 1989 Fourier Method For Correction Of Depth-Dependent Collimator Blurring

Robert M. Lewitt, Paul R. Edholm, Weishi Xia

Proceedings Volume 1092, Medical Imaging III: Image Processing; (1989) https://doi.org/10.1117/12.953264
Event: Medical Imaging III, 1989, Newport Beach, CA, United States

Abstract

A method is described for preprocessing projection data prior to image reconstruction in single-photon emission computed tomography. The projection data of the desired spatial distribution of emission activity is blurred by the point-response function of the collimator that is used to define the range of directions of gamma-ray photons reaching the detector. The point-response function of the collimator is not stationary, but depends on the distance from the collimator to the point. Conventional methods for deblurring collimator projection data are based on approximating the actual depth-dependent point-response function by a spatially-invariant blurring function, so that deconvolution methods can be applied independently to the data at each angle of view. The method described in this paper is based on Fourier analysis of the multi-angular data set as a whole, using special depth-dependent characteristics of the Fourier coefficients to achieve spatially-variant inverse filtering of the data in all views simultaneously. Preliminary results are presented for simulated data with a simple collimator model.

Citation Download Citation

Robert M. Lewitt, Paul R. Edholm, and Weishi Xia "Fourier Method For Correction Of Depth-Dependent Collimator Blurring", Proc. SPIE 1092, Medical Imaging III: Image Processing, (25 May 1989); https://doi.org/10.1117/12.953264

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