POSITION DETECTION DEVICE DETECTING A POSITION OF TARGET OBJECT AND A POSITION DETECTION PROGRAM

A position detection device obtains image coordinate groups representing a coordinate of a target object in each acquired image having first and second acquired image groups. The first acquired image group has acquired images obtained at an image acquiring timing in a reference period. The second acquired image group has acquired images obtained at an image acquiring timing in the reference period, which is delayed from the image acquiring timing of the first acquired image group by an asynchronous time. The device performs a Fourier transformation of each of a first locus and a second locus, and calculates a first frequency waveform based on the first locus and a second frequency waveform based on the second locus. The device calculates a position of the target object based on a relationship in which the frequency waveforms are delayed relative to each other by a phase corresponding to the asynchronous time.