Displaying similar documents to “A general scheme for constructing inversion algorithms for cone beam CT.”

Three-dimensional reconstruction from projections

Jiří Jelínek, Karel Segeth, T. R. Overton (1985)

Aplikace matematiky

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Computerized tomograhphy is a technique for computation and visualization of density (i.e. X- or γ -ray absorption coefficients) distribution over a cross-sectional anatomic plane from a set of projections. Three-dimensional reconstruction may be obtained by using a system of parallel planes. For the reconstruction of the transverse section it is necessary to choose an appropriate method taking into account the geometry of the data collection, the noise in projection data, the amount...

Laplace ultradistributions supported by a cone

Sławomir Michalik (2010)

Banach Center Publications

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The space of Laplace ultradistributions supported by a convex proper cone is introduced. The Seeley type extension theorem for ultradifferentiable functions is proved. The Paley-Wiener-Schwartz type theorem for Laplace ultradistributions is shown. As an application, the structure theorem and the kernel theorem for this space of ultradistributions are given.