Solutions to data and operator aliasing with the parabolic radon transform

Antoine Guitton

antoine@sep.stanford.edu

ABSTRACT

Focusing in the radon domain can be affected by data and operator aliasing. Antialiasing conditions can be imposed on the parabolic radon transform (PRT) operator by dip limiting the summation path. These dip limits in time translate into frequency limits in the Fourier domain. Consequently, antialiasing the PRT enables better focusing in the radon domain. If the radon domain is computed via inverse theory, a regularization term in either the time or frequency domain can reduce data aliasing effects. The frequency domain regularization has the advantage of being noniterative, but needs to be applied in patches in order to improve focusing.