The School of Science, Tianjin University of Technology and Education, Tianjin300222, P. R. China

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Abstract—Computed tomography (CT) plays an important role in many applications.Recently,total variation(TV) minimization has become a main topic in image reconstruction. This paper focuses on iterative algorithm: SART and EM in both of TV and ordered subset. Iterative reconstruction is an improved algorithm for reconstructing image from noisy projection data. However,image noise will increase after some iterations while the image quality does not meet the requirement. In order to improve the quality of the reconstructed image, for three dimensional cone-beam CT, a new iterative algorithm via fractional order integral is researched. Experimental results show that the proposed method has faster convergence speed and achieve higher PSNR

Index Terms—Cone-beam CT; noise projection data; total variation ;iterative algorithm ；fractional order integral

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Cite: Dongjiang Ji, Wenzhang He, "A Fractional Order Integral Approach for Reconstructing from Noisy Data," Journal of Software vol. 9, no. 1, pp. 240-245, 2014.