  Speckle Imaging based on triple correlation is a very efficient image
reconstruction technique which is used to retrieve Fourier phase information of
the object in presence of atmospheric turbulence. We have developed both Direct
Bispectrum and Radon transform based Tomographic speckle masking algorithms to
retrieve atmospherically distorted astronomical images. The latter is a much
computationally efficient technique because it works with one dimensional image
projections. Tomographic speckle imaging provides good image recovery like
direct bispectrum but with a large improvement in computational time and memory
requirements. The algorithms were compared with speckle simulations of aperture
masking interferometry with 17 sub-apertures using different objects. The
results of the computationally efficient tomographic technique with laboratory
and real astronomical speckle images are also discussed.
