Direct integration of the inverse Radon equation for X-ray computed tomography.
A new mathematical appoach using the inverse Radon equation for restoration of images in problems of linear two-dimensional x-ray tomography is formulated. In this approach, Fourier transformation is not used, and it gives the chance to create the practical computing algorithms having more reliable mathematical substantiation. Results of software implementation show that for especially for low number of projections, the described approach performs better than standard X-ray tomographic reconstruction algorithms.
Research Institute of Applied Mathematics and Mechanics, Tomsk State University, Russian Federation.
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Libin
Russian-Chinese Laboratory of Radiation Control and Inspection, Tomsk Polytechnic University, Russian Federation.
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Chakhlov
Russian-Chinese Laboratory of Radiation Control and Inspection, Tomsk Polytechnic University, Russian Federation.
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D
Trinca
D000465:Algorithms; D005583:Fourier Analysis; D007091:Image Processing, Computer-Assisted / Q000379:methods*; D019047:Phantoms, Imaging; D011886:Radon; D012984:Software; D014057:Tomography, X-Ray Computed / Q000379:methods*
D011886:Radon
Optimization; Radon’s inversion equation; X-ray tomography; tomographic reconstruction