Statistical inversion for medical x-ray tomography with few radiographs: I. General theory

S Siltanen, V Kolehmainen, S Järvenpää… - Physics in Medicine …, 2003 - iopscience.iop.org
In x-ray tomography, the structure of a three-dimensional body is reconstructed from a
collection of projection images of the body. Medical CT imaging does this using an extensive …

A review of statistical modelling and inference for electrical capacitance tomography

D Watzenig, C Fox - Measurement Science and Technology, 2009 - iopscience.iop.org
Bayesian inference applied to electrical capacitance tomography, or other inverse problems,
provides a framework for quantified model fitting. Estimation of unknown quantities of …

Hidden Markov models and disease mapping

PJ Green, S Richardson - Journal of the American statistical …, 2002 - Taylor & Francis
We present new methodology to extend hidden Markov models to the spatial domain, and
use this class of models to analyze spatial heterogeneity of count data on a rare …

Change point estimation in multi-subject fMRI studies

LF Robinson, TD Wager, MA Lindquist - Neuroimage, 2010 - Elsevier
Most statistical analyses of fMRI data assume that the nature, timing and duration of the
psychological processes being studied are known. However, in many areas of psychological …

Texture characterization, representation, description, and classification based on full range Gaussian Markov random field model with Bayesian approach

K Seetharaman, N Palanivel - … Journal of Image and Data Fusion, 2013 - Taylor & Francis
A statistical approach, based on full range Gaussian Markov random field model, is
proposed for texture analysis such as texture characterization, unique representation …

A finite mixture model for image segmentation

M Alfò, L Nieddu, D Vicari - Statistics and Computing, 2008 - Springer
In this paper, we propose a model for image segmentation based on a finite mixture of
Gaussian distributions. For each pixel of the image, prior probabilities of class memberships …

Probabilistic deconvolution of PET images using informed priors

TM Hansen, K Mosegaard, S Holm… - Frontiers in Nuclear …, 2023 - frontiersin.org
Purpose We present a probabilistic approach to medical image analysis that requires, and
makes use of, explicit prior information provided by a medical expert. Depending on the …

Finite mixture models for mapping spatially dependent disease counts

M Alfó, L Nieddu, D Vicari - Biometrical Journal: Journal of …, 2009 - Wiley Online Library
A vast literature has recently been concerned with the analysis of variation in disease counts
recorded across geographical areas with the aim of detecting clusters of regions with …

Bayes' sche Inferenz für inverse Probleme–statistische Inversion

D Watzenig - e & i Elektrotechnik und Informationstechnik, 2007 - Springer
Unlike deterministic inversion methods, statistical approaches are capable of taking into
account inherent measurement and model uncertainties into the inverse problem solution in …

Statistical image reconstruction

RG Aykroyd - Industrial Tomography, 2015 - Elsevier
Over the last 30 years the use of statistical principles applied to image reconstruction
problems has progressed from its first tentative steps into a rigorous and mature area. This …