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A Mollification Approach for Inverting the Spherical Mean Radon Transform
SIAM Journal on Applied Mathematics, 2011The filtered backprojection algorithm is still one of the most important reconstruction methods in computed tomography. It is based on explicit formulas for recovering mollified versions of the original unknown function. In this paper, we derive such formulas for the spherical mean Radon transform with centers restricted to the boundary of a ball.
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Nonparametric Instrumental Regression via Mollification
2023Pierre Maréchal +2 more
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