3D reconstruction of a moving point from a series of 2D projections

摘要: This paper presents a linear solution for reconstructing the 3D trajectory of moving point from its correspondence in collection 2D perspective images, given spatial pose and time capture cameras that produced each image. Triangulation-based solutions do not apply, as multiple views may exist at instant time. A geometric analysis problem is presented criterion, called reconstructibility, defined to precisely characterize cases when reconstruction possible, how accurate it can be. We apply algorithm reconstruct evolving structure several real-world scenes, non-coincidental images.