‘wIAKING BINARY D6CISIONS BASED ON THE POSTERIOR PROBABILITY DISTRIBUTION ASSOCIATED WITH TOMOGRAPHIC RECONSTRUCTIONS
نویسنده
چکیده
An optimal solution to the problem of making binary dmisione about a local region of a reconstruction is prov; ded by the Bayeeian method. The decieion is made on the baia of the ratio of the poeterior probabilities for the two hypoth~. The full Bayeaian procedure mquiree an integration of the pterior probability over all pataible valuee of the image outaide the local region being analyzed. In the present work, this full treatment is replaced by the mcmimum value of the poeterior probability obtained when the exterior region is varied, but the interior ia fixed at both hypothesized functional forms. A Monte Carlo procedure is employd to evaluate the uaefulneaa of the t-hnique in a signal-known-exactly detection taak in a noisy four-view tomographic reconstruction eituation.
منابع مشابه
Bayesian reconstruction based on flexible prior models
A new approach to Bayesian reconstruction is proposed that endows the prior probability distribution with an inherent geometrical flexibility, which is achieved through a transformation of the coordinate system of the prior distribution or model into that of the reconstruction. With this warping, prior morphological information regarding the object that is being reconstructed may be adapted to ...
متن کاملBinary tomographic reconstruction
The binary tomographic reconstruction problem consists of finding a binary image from (very) few projections (line sum of pixels) along given directions [1]. An efficient heuristic algorithm is introduced [2]. The first (initialization) step is similar to the traditional “filtered backprojection” algorithm used for standard tomographic reconstructions, but based on a non-linear transform, s = ...
متن کاملUncertainties in tomographic reconstructions based on deformable models
Deformable geometric models fit very naturally into the context of Bayesian analysis. The prior probability of boundary shapes is taken to proportional to the negative exponential of the deformation energy used to control the boundary. This probabilistic interpretation is demonstrated using a Markov-Chain Monte-Carlo (MCMC) technique, which permits one to generate configurations that populate t...
متن کاملTesting a Point Null Hypothesis against One-Sided for Non Regular and Exponential Families: The Reconcilability Condition to P-values and Posterior Probability
In this paper, the reconcilability between the P-value and the posterior probability in testing a point null hypothesis against the one-sided hypothesis is considered. Two essential families, non regular and exponential family of distributions, are studied. It was shown in a non regular family of distributions; in some cases, it is possible to find a prior distribution function under which P-va...
متن کاملAutonomous tomographic reconstruction and segmentation including a confidence metric
Tomographic investigation of materials has gained substantial interest during the last years. These advances are paralleled by the development of computational methods that reconstruct and segment three-dimensional volumes from a tilt series of projected images. However, most methods require substantial user intervention to tune the parameters of the reconstruction procedure and to assist algor...
متن کامل