Parallel-Beam CT Reconstruction Based on Mojette Transform and Compressed Sensing
Abstract—A novel frame of parallel-beam Computerized Tomography (CT) reconstruction is proposed. The CT projections are firstly converted to Mojette projections. Then 1D Fourier transform is applied to the modified Mojette projections, followed by an exact mapping of the gained Fourier coefficients to the 2D Fourier domain of the scanning object. Finally the scanning object can be reconstructed from the partial Fourier coefficients by compressed sensing (CS). Experimental results show that using this frame, the purpose of reducing the radiation dosage during CT examinations without compromising the image quality can be achieved.
Index Terms—Computerized tomography, parallel-beam, mojette transform, compressed sensing.
Wen Hou and Cishen Zhang are with the Faculty of Engineering and Industrial Sciences, Swinburne University of Technology, Vic 3122,Australia (e-mail: wenhou@swin.edu.au; cishenzhang@swin.edu.au)
Cite: Wen Hou and Cishen Zhang, "Parallel-Beam CT Reconstruction Based on Mojette Transform and Compressed Sensing," International Journal of Computer and Electrical Engineering vol. 5, no. 1, pp. 83-87, 2013.
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