Uncalibrated 1D projective camera and 3D affine reconstruction of lines

We describe a linear algorithm to recover 30 afJine slzape/niotionfrom line correspondences over three views with uncalibrated afine cameras. The key idea is the introduction of a one-dimensional projective camera. This converts the 3 0 a . n e reconstruction of “lines” into 2 0 projective reconstruction of “points’I. Using thefull tensorial representation of three uncalibrated ID views, weprove that the 3 0 afJine reconstruction of linesfrom minimal data is unique up to a re-ordering of the views. 30 afine line reconstruction can be performed by properly rescaling image coordinates instead of using projection matrices. The algorithm is validated on both simulated and real image sequences.

• Type: Conference
• Year: 1997
• Where: CVPR
• Authors: Long Quan
• Keywords: Computer Vision, CVPR 1997, Projective Reconstruction, Uncalibrated Afine Cameras, Uncalibrated Id Views