LRSTV: A low-rank total variation-based seismic fault preserving denoising algorithm

•A model based on low-rank and TV regularization is applied in seismic processing.•Low-rank decomposition exploits the correlation along the inline sections.•TV regularization takes into account the spatial piecewise smoothness.•Capable of simultaneous preservation of lateral and vertical discontinuities.•Both quantitative and visual results confirm the effectiveness of the method.