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We discuss seismic interferometry by multi-dimensional deconvolution for controlled-source data as well as for passive data and compare both approaches with the corresponding correlation-based interferometric methods. For the controlled-source situation we derive the virtual source method as an approximation of the multi-dimensional deconvolution method. For the passive data situation we show that the deconvolution method and the cross-correlation method are essentially different, and we discuss the merits and drawbacks of both approaches.