Approaches to enable a computing device, such as a phone or tablet computer, to apply electronic image stabilization (EIS) and optical image stabilization (OIS) across their respective ranges of effectiveness. The computing device may include a gyroscope that produces data about the orientation or movement of the device and a filter that filters the orientation data and conveys the filtered data to either the OIS system or the EIS system, depending on the amplitude of the excursion. The filter conveys excursions of a first range of amplitude to be corrected by the OIS system and conveys excursions of a second range of amplitude (the portion that is uncorrected by the OIS) to be corrected by the EIS system.