On the τ-p Transform and Seismic Data

Abstract

In this work, an improved algebraic reconstruction for Radon transform of seismic type is proposed. Namely, the τ-p transform. The discrete formulations of this reconstruction problem are accomplished via the standard square function on the 2-D region [0,1]×[0,1], since its transform is known exactly. The interior-point algorithm approach with some MATLAB optimization functions is used for solving the system and recovering the image. The new algorithm produces accurate reconstructed images and is suitable for the case of limitation on the number of available projections.