Abstract: A system and method are provided for reducing jitter in collected seismic data. The collected seismic data includes both original seismic data, e.g., original traces, and other seismic data, e.g., interpolated traces. The collected seismic data is filtered to form filtered seismic data, and then the original seismic data is re-inserted into the filtered seismic data. Filtering is repeated on the result based, for example, on one or more filter thresholds that progressively relax constraints on the filtering process, until the filtered data can be combined with the original seismic data with a good fit or a predetermined, e.g., user determined, number of times.