A method of providing seismic data (such as marine seismic data). A seismic source is actuated at a plurality of source locations (S2, S4). For each source location, a multicomponent seismic measurement is performed at least one receiver location (S3). A reconstructing method is applied to each multicomponent measurement to obtain additional data corresponding to source locations additional to the source locations at which the source was actuated (S5). The additional data are output and/or used (S6).