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Spline-Based Filtered Backprojection

Investigators: Stefan Horbelt, Michael Liebling, Michael Unser

Summary: X-Ray tomography can be expressed mathematically as a Radon transform. We have derived spline-convolution-based algorithms for two closely related problems: the computation of the Radon transform and of its inverse. Because of the optimality of splines for the approximation of smooth functions and of our new least-squares formulation, the Radon transform can be performed with a high quality, and a reasonably efficient implementation.

Collaboration: Prof. Michael Unser

Period: 1998-2002

Major Publications

[1] 

M. Unser, S. Horbelt, T. Blu, "Fractional Derivatives, Splines and Tomography," Proceedings of the Tenth European Signal Processing Conference (EUSIPCO'00), Tampere, Finland, September 4-8, 2000, vol. IV, pp. 2017-2020.

[2] 

S. Horbelt, M. Liebling, M. Unser, "Discretization of the Radon Transform and of Its Inverse by Spline Convolutions," IEEE Transactions on Medical Imaging, vol. 21, no. 4, pp. 363-376, April 2002.

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