A pseudoinverse filter for limited-angle diffraction tomography involving objects with planar structure

A reconstruction technique for limited-angle diffraction tomography is described in which a special pseudoinverse filter is applied to the back-propagation. Using this approach, it is possible to reconstruct a ten-layered object with only 19 projections having angles ranging from -10 degrees to +10 degrees . It is concluded that the algorithm proposed here offers an efficient and computationally easy method for reconstructing an object with planar structure. Even when the number of layers is large and the range of incident angle is limited, the method will give good images.