Research

Interests

  • Discrete tomography
  • Image processing, reconstruction and analysis

Digital signal processing plays an increasingly important role in the field of image processing. An important imaging method is tomography, that is an imaging process where the shape and dimensional information of an object are determined from its projections. Discrete tomography (DT) is a research area of tomography that is applied for the reconstruction of objects that are discrete (such as crystals) or homogenous (such as metal). Due to the hardware limitation the image generated via reconstruction from a sinogram is always defined on a square grid. Containing information about a continuous structure, a sinogram can be back projected onto any grid. For reconstructing the initial images, instead of square grid other non-traditional grids can be considered, for e.g. the triangular grid. Much of my work centers on new formulation that uses images represented on triangular grids. Our results include algorithm for the discrete tomography problem.