An Explicit Fractal Interpolation Algorithm for Reconstruction of Seismic Data

Abstract

Based on our previous investigation and the pioneering work of other researchers, a novel explicit fractal interpolation method based on affine transform is proposed, in which we approximate the vertical scaling factors by the locally explicit expression. Numerical experiments indicate that the explicit fractal interpolation method shows great accuracy of reconstruction of the seismic profile and yields significant improvement over wave-equation based trace interpolation methods (unified approach).