An algorithm for interpolation using Ronen's pyramid

An algorithm for interpolation using Ronen's pyramid

Jon Claerbout and Antoine Guitton

Abstract:

Shuki Ronen has shown that a dip spectrum in 2-D may be characterized by a 1-D Prediction Error Filter (PEF) after his ``pyramid transform'' where $(t,x)$-space is transformed to $(\omega ,u=\omega x)$-space. The transform to $(\omega, u)$-space creates empty locations (missing data). Thus we have the question of unknown PEF along with missing data. Here we propose to find both simultaneously by iterative linear least squares.