Dynamic X-ray tomography with multiple sources

Abstract

A novel time-dependent tomographic imaging modality with multiple source-detector pairs in fixed positions is discussed. All detectors record simultaneously time-dependent radiographic data ("X-ray videos") of a moving object, such as a beating heart. The dynamic two-or three-dimensional structure is reconstructed from projection data using a new computational method. Time is considered as an additional dimension in the problem, and a generalized level set method [Kolehmainen, Lassas, Siltanen, SIAM J Scientific Computation 30 (2008)] is applied in the space-time. In this approach, the X-ray attenuation coefficient is modeled by the continuous level set function itself (instead of a constant) inside the domain defined by the level set, and by zero outside. A numerical example with simulated data suggests that the method enforces suitable continuity both spatially and temporally. A drawback of the method is that it is not applicable to real-time imaging.

Sources and Coded Aperture Transmittance Analysis in Compressive Computed Tomography

“…For instance the systems, Pioneering Dynamic Spatial Reconstruction of Mayo Clinic [12], Line Sources CT [13], Inverse-geometry CT, and Ultimately a rebirth of stationary CT [14] have multiple X-ray sources distributed in different ways. The usage of more sources allows reducing the data acquisition time, decreasing the radiation dose, and increasing the spatial resolution of images and reconstruction accuracy.…”

A Bayesian Approach for Energy-Based Estimation of Acoustic Aberrations in High Intensity Focused Ultrasound Treatment

“…An introduction to the Bayesian perspective for solution of inverse problems and many of the techniques that are used in this article can be found in the monographs [6,23,45] and the article [44] as well as the references therein. The Bayesian approach to inverse problems has been successfully applied in various areas of medical imaging such as electrical impedance tomography [24], optical diffuse tomography [2] and dynamic X-ray tomography [36] as well as other fields such as astronomy [13,39] and geoscience [12,19,45].…”