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Dips and azimuths, computed in a small moving window, are commonly used in fault/fracture characterization by different coherence measures and/or so-called volumetric curvature attributes. We propose algorithms for dip and coherence computations that use time derivatives of seismic traces and produce high-quality sharp images of seismic discontinuities. In addition, we propose a Fourier domain technique for rose diagram computation, providing accurate estimations of fault orientation distribution from a sharp image, e.g. a high-quality discontinuity slice or a hand-made drawing of lineaments.