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In this paper we adapt a phase unwrapping algorithm to estimate the depth shift in Angle-Domain Common Image Gathers (ADCIGs). We show how to set up a linear system of equations tailored to the seismic case and how to solve it by minimizing an $L^0$ measure via iterations of weighted least-squares problems. For this procedure a meaningful choice of initial weights is crucial.

We propose to unwrap jointly several angle gathers and show that this can overcome sampling deficiencies in the angle domain, such as those that come from processing a limited number of subsurface offsets for angle-gather generation.