Dynamic Imaging and Fast Reconstruction Algorithms in Tomography

摘要

During the period of sponsorship under the JSEP fellowship, the researcher has studied tomographic imaging, the mathematical process that underlies a number of technologies such as Synthetic Aperture Radar, X-ray computer tomography, Magnetic Resonance Imaging, etc. In particular, his research has focused on two key aspects of tomography. The first is the study of tomography in the presence of motion. In this area, he was the first to establish conditions for unique and stable reconstruction in the presence of rigid body motion. The second aspect is that of fast algorithms for tomography. He has developed new advanced algorithms that permit tomographic imaging to be carried out much faster than was previously possible. In the process of studying these two key area, he has developed new and fundamental results in signal processing.