We present a method to construct 3D angle gathers from extended images obtained using wave-equation migration. The method relies on an analytic formula that associates the reflection and azimuth angle to reflection kinematics in the images. The decomposition is able to render the angle gathers that characterize the reflectivity as a function of both reflection and azimuth angle simultaneously. Since the images are constructed from accurate wave-equation-based imaging algorithm, the method is robust to characterize angle information in presence of noisy data and complex subsurface geologic environments. The application of the method on a North Sea 3D OBC field dataset illustrates that 3D angle gathers obtained from our method is effective to extract reflection and azimuth angle information.

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