Method and arrangement for three-dimensional medical x-ray imaging

Abstract

This invention relates to a medical X-ray device arrangement for producing three-dimensional information of an object in a medical X-ray imaging, the medical X-ray device arrangement comprising an X-ray source for X-radiating the object from at least two different directions and a detector for detecting the X-radiation to form projection data of the object. The medical X-ray device () arrangement comprises means () for utilizing said projection data in a regularized reconstruction method based on solving the non-linear evolution equation∂φ()=−()*(((φ()))−)+αφ()to produce three-dimensional information of the object, x representing the coordinates inside the object under imaging, t representing time, φ representing a level set function indicating the boundary of the object, h representing a positive-valued function, m representing projection data, the operator A representing the X-radiation attenuation model, A* representing the backprojection operator of A, α representing a positive number, P representing high pass filtering, and f representing a cut-off function returning zero for non-positive arguments and positive values for positive arguments.