Demosaicing multi-energy patterned composite pixels for spectral CT

Computed Tomography is a diagnosis technique that uses X-ray radiation to create images of structures. This technique consists in reconstructing a quantitative map of the attenuation coefficients of the object sections from multiple projections using reconstruction algorithms. Since the attenuation coefficient is not unique for any material, the differentiation and classification of different tissue types by Computed Tomography has revealed to be extremely challenging. The solution has been provided through the development of an energy sensitive CT scanner, known as Spectral CT. This technique takes in consideration that the transmitted radiation carries more information than intensity changes, that the x-ray tube produces a wide range of energy spectrum and that the attenuation of radiation depends not only on the material but also on the photon energy. Spectral CT uses the attenuation characteristics at more than two energies which makes it possible to differentiate various elements in the body, based on their material density or atomic numbers. Therefore, this technique uses the new detector technology, the hybrid pixel detector. This detector allows the energy threshold setting. Combining the physical properties of different materials and the possibility of setting the energy threshold in the detectors, a new spectral imaging technique is used, K-edge imaging. This technique explores the discontinuity in the photoelectric effect, which is generated when photons interact with matter, and those interact with the shell electrons. Therefore, the Centre de Physique des Particules de Marseille developed a micro-CT and a simultaneous PET/CT scan based on hybrid pixel detector. The ability of tuning the energy threshold of each pixel independently was exploited to develop K-edge imaging and the proof of concept has been established on phantom and on living mice. In the context of pre-clinical imaging, objects are moving and the several acquisitions must be performed simultaneously to allow the registration set. For this purpose, CPPM had been working with composite pixels made of 9 (3× 3) pixels with 3 different thresholds. This solves the motion artefact problem at the price of loss in spatial resolution. Therefore, the research project of this work aims at performing K-edge imaging on moving object at full spatial resolution. The problem is seen as an Inpainting problem where unknown measure must be estimated from partial measurements. A huge literature exists in the Inpainting, and especially in the field of Demosaicing, which is particularity of interest in this research project. The project consists in a study of the sampling scheme of spectral CT images and to evaluate the performance of simplest methods with respect to noise and spatial resolution. More sophisticated techniques of Inpainting and Demosaicing were tested, which were developed specifically for spectral CT images by incorporating prior on image. Therefore, an evaluation performance of all the reconstruction methods was successfully made, and a state-of-art was established. In this research project, in order to create the composite pixels concept, a set of dynamic strategies of patterning composite pixels was achieved in order to define optimal protocols of acquisition. keywords: Inpainting, Demosaicing, Image reconstruction, Spectral CT, hybrid pixel detectors, K-edge imaging