Biomedical Engineering and Bioengineering Commons^™

A Compressed Sensing Algorithm For Sparse-View Pinhole Single Photon Emission Computed Tomography, Paul Arthur Wolf, Emil Y. Sidky, Taly Gilat Schmidt

Biomedical Engineering Faculty Research and Publications

Single Photon Emission Computed Tomography (SPECT) systems are being developed with multiple cameras and without gantry rotation to provide rapid dynamic acquisitions. However, the resulting data is angularly undersampled, due to the limited number of views. We propose a novel reconstruction algorithm for sparse-view SPECT based on Compressed Sensing (CS) theory. The algorithm models Poisson noise by modifying the Iterative Hard Thresholding algorithm to minimize the Kullback-Leibler (KL) distance by gradient descent. Because the underlying objects of SPECT images are expected to be smooth, a discrete wavelet transform (DWT) using an orthogonal spline wavelet kernel is used as the sparsifying …