Monocular trajectory intersection method for 3D motion measurement of a point target

This article proposes a monocular trajectory intersection method, a videometrics measurement with a mature theoretical system to solve the 3D motion parameters of a point target. It determines the target’s motion parameters including its 3D trajectory and velocity by intersecting the parametric trajectory of a motion target and series of sight-rays by which a motion camera observes the target, in contrast with the regular intersection method for 3D measurement by which the sight-rays intersect at one point. The method offers an approach to overcome the technical failure of traditional monocular measurements for the 3D motion of a point target and thus extends the application fields of photogrammetry and computer vision. Wide application is expected in passive observations of motion targets on various mobile beds.