Titlebook: Questions of Uniqueness and Resolution in Reconstruction from Projections; Myron Bernard Katz Book 1978 Springer-Verlag Berlin Heidelberg

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0341-633X M. I. Scanner is one example. In this text, some fundamental theoretical and practical questions are resolved. Despite recent research activity in the area, the crucial subject of the uniqueness of the reconstruction and the effect of noise in the data posed some unsettled fundamental questions. In

现代

How a Reconstruction Approximates a Real Life Object,s was done in Chapters III through VII) that if f is in Z(n), then the problem of reconstruction from projections can be made well-posed. Within this chapter, f is not assumed to be in Z(n), and the following question is answered: .?

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A Special Case: Improving the EMI Head Scanner,r, that built by the EMI company. The need for uniquely determined reconstructions as explained in earlier chapters is also stressed here. To the knowledge of the author, the theory of the accuracy of the output of existing x-ray scanners has yet to be placed on a sound mathematical basis.

否决

不遵守

Book 1978nner is one example. In this text, some fundamental theoretical and practical questions are resolved. Despite recent research activity in the area, the crucial subject of the uniqueness of the reconstruction and the effect of noise in the data posed some unsettled fundamental questions. In particula

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A Reconstruction Space Which does not Contain the Objective Function,nt from the space within which the objective function, f, lies. For practical purposes it will be sufficient to reconstruct f (or find an approximation to f) with finite resolution. Any picture in the real world has finite resolution, anyway.

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否认

Dealing Effectively with Noisy Data,e of the reconstruction? In an experimental procedure, the data collected never exactly corresponds to.the reasons for inaccuracies (i. e., noisy data) are as varied as there are experimental techniques. In any case, reconstruction in the presence of noise must be carefully handled because the knowl

大约冬季

How a Reconstruction Approximates a Real Life Object,Since the objective function is never in the pixel reconstruction space, i. e., Z(n), it is not sufficient to resolve the problem by simply showing (as was done in Chapters III through VII) that if f is in Z(n), then the problem of reconstruction from projections can be made well-posed. Within this