Determination of 3-D position of particles in perspective picture with vanishing-point theorem
Dong Shou-ping · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 2003
Parallel lines viewed in a picture taken with a camera appear to meet at a vanishing point. Three groups of parallel lines which are perpendicular each to other appear three vanishing-points in a perspective picture. This paper proposed an algorithm by which real 3D position of the viewpoint and imaging plane of the picture and the scale of the picture are determined based on positions of the three vanishing-points. In this paper the principle of perspective geometry, visual geometry, was also discussed, especially the vanishing-point theorem. Meanwhile, this paper also proposed a method by which real 3D positions of the objects are determined with a two-viewpoint imaging system.