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

Authors:
Long Quan
Affiliations:
-
Venue:
CVPR '97 Proceedings of the 1997 Conference on Computer Vision and Pattern Recognition (CVPR '97)
Year:
1997

Citing 0
Cited 2

Two-Way Ambiguity in 2D Projective Reconstruction from Three Uncalibrated 1D Images

IEEE Transactions on Pattern Analysis and Machine Intelligence
Geometry of Multiple Affine Views

SMILE'98 Proceedings of the European Workshop on 3D Structure from Multiple Images of Large-Scale Environments

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Abstract

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.