Function Reconstruction from Reflection Symmetric Radon Data

Image Reconstruction from Incomplete Data

Image Reconstruction from Incomplete Data

Kernel-based Image Reconstruction from Scattered Radon Data

Computerized tomography requires suitable numerical methods for the approximation of a bivariate function f from a finite set of discrete Radon data, each of whose data samples represents one line integral of f . In standard reconstruction methods, specific assumptions concerning the geometry of the Radon lines are usually made. In relevant applications of image reconstruction, however, such as...

Approximation and Reconstruction from Attenuated Radon Projections

Attenuated Radon projections with respect to the weight function Wμ(x, y) = (1−x2−y2)μ−1/2 are shown to be closely related to the orthogonal expansion in two variables with respect to Wμ. This leads to an algorithm for reconstructing two dimensional functions (images) from attenuated Radon projections. Similar results are established for reconstructing functions on the sphere from projections d...

image reconstruction from incomplete data

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