Titlebook: Mathematical Aspects of Computerized Tomography; Proceedings, Oberwol G. T. Herman,Frank Natterer Conference proceedings 1981 Springer-Verl

迎合

The Radon Transform in ?2. The Distributions Used as a Tool for its Inversion in Circular Decompositssed in a new definition. Choosing distributions of rapid descent, a generalization of the properties found for classical Radon images of square integrable functions with compact support is evidenced. Namely two distributions are used in order to find the analytical correspondence between the circul

小蟲

歌唱隊

Approximation of the Radon Transform from Samples in Limited Rangensistency conditions, an approximation Rf. in terms of orthogonal polynomials is calculated. It is shown that the L.-error of f. is of the order p .if the function f belongs to the Sobolev space H.. The method is applied for reconstructing an object from its x-ray projections in arbitrary directions

軟弱

fatty-streak

獨裁政府

A Minimax Performance Measure for Computed Tomographyng the error over the set of possible signals, and optimal system performance is the value of a minimax problem. Simple upper and lower bounds are derived, and the techniques are applied to the problem of optimal reconstruction from a limited range of angles.

Abominate

變異

anticipate

On Two Approaches to 3D Reconstruction in NMR Zeugmatographyof . in R.. Two “natural” approaches to reconstructing f from such data are: (1) By numerical implementation of the inverse Radon transform in three dimensions (the . approach), and (2) by application, in two successive stages, of existing well-known algorithms for inverting the two-dimensional Rado

excursion

Resolution Improvement to C.T.Systems Using Aperture Function Correctiontor combinations of finite size. In this paper we investigate the effect of this degradation on the measured projections and the reconstructed image, and relate it to effects due to the discrete sampling of the signal. Having identified the transfer function of the imaging system, it is then possibl