Abstract：Curvelet transform is suitable for nonstationary seismic data processing because it is multi-scale,multidirectional,and strictly localized.The compression attribute of Curvelet transform can be used for reconstruction of missing seismic data.In the paper,we first analyze the principle of missing seismic data interpolation using sparse transform.Then we discuss the difference between the interpolation methods with-norm and-norm restrictions in the inversion framework.We expatiate in detail on the interpolation method with-norm restriction,which do not need sliding windows for processing nonstationary seismic events.We introduce the Projections Onto Convex Sets(POCS) algorithm into the interpolation using Curvelet transform.The threshold in POCS algorithm is chosen to be exponentially decreased,which is a fast convergence method in iterative inversion.Synthetic and real data examples show that the interpolation method using Curvelet transform can effectively rebuild missing seismic data.
