The invention relates to a medical X-ray device 5 arrangement for
producing three-dimensional information of an object 4 in a medical X-ray
imaging medical X-ray device arrangement comprising an X-ray source 2 for
X-radiating the object from different directions and a detector 6 for
detecting the X-radiation to form projection data of the object 4. The
medical X-ray device 5 arrangement comprises: means 15 for modelling
the object 4 mathematically independently of X-ray imaging and means 15
for utilizing said projection data and said mathematical modelling of the
object in Bayesian inversion based on Bayes' formula
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produce three-dimensional information of the object, the prior
distribution p.sub.pr(x) representing mathematical modelling of the
object, the object image vector x, which comprise values of the X-ray
attenuation coefficient inside the object, m representing projection
data, the likelihood distribution p(m|x) representing the X-radiation
attenuation model between the object image vector x and projection data
m, p(m) being a normalization constant and the posteriori distribution
p(x|m) representing the three-dimensional information of the object 4.