Thus, although these methods enjoyed considerable interest early in the development of ET, they have been largely supplanted by the maximum-likelihood and Bayesian methods described next.In all applications of Bayesian modelling there are various hyper-parameters. I emphasize methods that are rooted in statistical models for the measurement noise; previous texts have emphasized primarily analytical image reconstruction methods or iterative methods that are based on algebraic principles rather than … In many cases the resulting procedures are closely related to classical deterministic algorithms, but the statistical approach leads to natural description and intuitive interpretation. Some of the earliest tomographic images created by Hounsfield [1,2] for X-ray computed tomography were formed using iterative methods. Image reconstruction techniques are used to create 2-D and 3-D images from sets of 1-D projections. To provide a qualitative performance assessment of the different image reconstruction algorithms on the resultant images at various numbers of iterations using a rather complicated phantom, the reconstructed images of the micro-Derenzo phantom are shown in Figure 5.
Full SIR methods for X-ray CT (of the type described in this book) became commercially available in about 2011, motivated primarily by concerns about patient X-ray dose. For the 3D reconstruction scene of motion-blurred CT image, this paper consists of two parts: firstly, a GAN image translation network deblurring algorithm is proposed to remove blurred results. The two approaches of pixel-based and feature-based were described and illustrated. In many investigations, however, these are also part of the posterior distribution with their own hyper-prior distributions. Part III addresses the analysis of the properties of statistical image reconstruction methods, including spatial resolution and noise characteristics. For a 2D image this could be, for example, a 64 by 64 array giving 4096 pixelsThen, after a little further rewriting, the following objective function is obtained:ScienceDirect ® is a registered trademark of Elsevier B.V.The statistical approach to image reconstruction is based on the use of statistical modelling principles to describe the stochastic properties of data collection, and to quantify expert knowledge and prior belief. This book describes the theory and practice of iterative methods for tomographic image reconstruction and related inverse problems such as image restoration. The enormous computation time of SIR methods for X-ray CT has slowed its adoption and spurred considerable research into acceleration methods.
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