Method and arrangement for three-dimensional medical X-ray...

X-ray or gamma ray systems or devices – Specific application – Tomography

Reexamination Certificate

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C378S004000, C378S039000

Reexamination Certificate

active

11026526

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 (5) arrangement comprises means (15) for utilizing said projection data in a regularized reconstruction method based on solving the non-linear evolution equationin-line-formulae description="In-line Formulae" end="lead"?∂tφ(x,t)=−h(x,t)A*(A(f(φ(x,t)))−m)+αPφ(x,t)in-line-formulae description="In-line Formulae" end="tail"?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.

REFERENCES:
patent: 7215730 (2007-05-01), Kalke et al.
patent: 2005/0270024 (2005-12-01), Lin
Delaney et al., Globally Convergent Edge-Preserving Regularizated Reconstruction: An application to limited -angle tomography, IEEE Transactions on image processing, vol. 7, No. 2, Feb. 1998, pp. 204-221.
Kolehmainen et al., Statistical inversion for medical x-ray tomography with few radiographs: II. Application to dental radiology, Phys. Med. Biol., 48, 2003, pp. 1465-1490.
Hielscher et al., Gradient-based iterative image reconstruction scheme for time-resolved optical tomography, IEEE transactions on Medical Imaging, vol. 18, No. 3, Mar. 1999, pp. 262-271.

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