Data correction apparatus, measurement system, and correction method

A data correction apparatus comprising:

• an acquisition part that acquires, from a measurement apparatus which measures a distance from a reference position to an object to be measured using a frequency-modulated laser beam and is capable of periodically measuring the distance while moving at least one of (i) the object to be measured or (ii) at least a part of the measurement apparatus, measurement data in which a first measurement result of the distance is arranged in time series and a second measurement result that is obtained by the measurement apparatus measuring the distance when the object to be measured and the measurement apparatus are in a stationary state is arranged at a head or a tail of the first measurement result;
• and
• a correction part that corrects an error included in the measurement data and based on movement of at least one of the object to be measured or at least a part of the measurement apparatus by applying the measurement data acquired by the acquisition part to a recurrence formula based on a time derivative of a measurement result of the measurement apparatus.