Uncalibrated 1D projective camera and 3D affine reconstruction of lines
نویسنده
چکیده
We describe a linear algorithm to recover 3D affine shape/motion from line correspondences over three views with uncalibrated affine cameras. The key idea is the introduction of a one-dimensional projective camera. This converts the 3D affine reconstruction of “lines” into 2D projective reconstruction of “points”. Using the full tensorial representation of three uncalibrated 1D views, we prove that the 3D affine reconstruction of lines from minimal data is unique up to a re-ordering of the views. 3D affine 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.
منابع مشابه
Inherent Two-Way Ambiguity in 2D Projective Reconstruction from Three Uncalibrated 1D Images
It is shown that there always exists a two-way ambiguity for 2D projective reconstruction from three uncalibrated 1D views independent of the number of point correspondences. It is also shown that the two distinct projective reconstructions are exactly related by a quadratic transformation with the three camera centers as the fundamental points. The unique reconstruction exists only for the cas...
متن کاملTwo-Way Ambiguity in 2D Projective Reconstruction from Three Uncalibrated 1D Images
We show that there is in general a two-way ambiguity for 2D projective reconstruction from three uncalibrated 1D views, independent of the number of point correspondences. The two distinct projective reconstructions are exactly related by a quadratic transformation with the three camera centers as fundamental points. Unique 2D reconstruction is possible only when the three camera centers are al...
متن کاملQuan : Affine Structure from Line Correspondences 3
| This paper presents a linear algorithm for recovering 3D aane shape and motion from line correspondences with uncalibrated aane cameras. The algorithm requires a minimum of seven line correspondences over three views. The key idea is the introduction of a one-dimensional projec-tive camera. This converts 3D aane reconstruction of \line directions" into 2D projective reconstruction of \points"...
متن کاملA ne Structure from Line Correspondences with Uncalibrated A ne Cameras Long QUAN and Takeo KANADE
|This paper presents a linear algorithm for recovering 3D a ne shape and motion from line correspondences with uncalibrated a ne cameras. The algorithm requires a minimum of seven line correspondences over three views. The key idea is the introduction of a one-dimensional projective camera. This converts 3D a ne reconstruction of \line directions" into 2D projective reconstruction of \points". ...
متن کاملFactorization Methods for Projective Structure and Motion
This paper describes a family of factorization-based algorithms that recover 3D projective structure and motion from multiple uncalibrated perspective images of 3D points and lines. They can be viewed as generalizations of the Tomasi-Kanade algorithm from affine to fully perspective cameras, and from points to lines. They make no restrictive assumptions about scene or camera geometry, and unlik...
متن کامل