Method and arrangement for medical X-ray imaging

A medical X-ray device (5) arrangement for producing three-dimensional information of an object (4) in a medical X-ray imaging, characterized in that the medical X-ray device (5) arrangement comprises:

• an X-ray source (2) for X-radiating the object from at least two different directions
• a detector (6) for detecting the X-radiation to form projection data of the object (4)
• means (15) for modelling the object (4) mathematically utilizing the projection data to solve the imaging geometry and/or the motion of the object, where the solving concerns either some or all parts of the imaging geometry and/or the motion of the object
• and the medical X-ray device (5) arrangement includes 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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• to produce three-dimensional information of the object, the prior distribution ppr(θ) representing the prior knowledge of the imaging geometry and/or the motion of the object (4), the prior distribution ppr(x) representing mathematical modelling of the object, x representing the object image vector, which comprises values of the X-ray attenuation coefficient inside the object, θ representing the parameter vector of the imaging geometry and/or the motion of the object (4), m representing projection data, the likelihood distribution p(m|x,θ) representing the X-radiation attenuation model between the object image vector x, geometry parameter vector θ, and projection data m, p(m) being a normalization constant and the posteriori distribution p(x,θ|m) representing the three-dimensional information of the object (4) and the imaging geometry including the motion of the object.