Terahertz inverse scattering
Cryo-TEM Reconstruction of Macromolecules
The model free 3-D reconstruction of helical structure is possible from a single view by exploiting the symmetry and sparsity. Helical symmetry provides specific number of symmetric views from only single view. However, the number of symmetric views is not sufficient for accurate 3-D reconstruction. To overcome the resolution loss due to the sparse views, we develop an iterative reconstruction method based on compressed sensing by exploiting the sparsity of structures. We can show that our algorithm provided very accurate reconstruction.
Single Channel Exact Deconvolution
The multichannel exact blind image deconvolution theory tells us that exact recovery of unknown blur kernels is possible from multiple measurements of an identical scene through distinct blur channels. There often exist obstacles in obtaining multiple distinct blur measurements in many biological applications. In this research, we suggest the single channel blind image deconvolution based on the radial symmetry of PSF, which eliminates the need of multiple blur measurements, but still guarantees an accurate estimation of the blurring kernel.
Multi-Energy X-ray Material Decomposition
The physical compositions of human body such as tissue, bone, and muscle can be possibly decomposed using monochromatic X-ray beams with various energy levels based on the difference of attenuation coefficient. However, in practice, it is hard to generate the idealized monochromatic x-ray beams. Therefore, we are willing to develop the novel mathematical method that can effectively decompose each material under realistic situation.