Introduction to algorithms
Motion and Structure from Line Correspondences; Closed-Form Solution, Uniqueness, and Optimization
IEEE Transactions on Pattern Analysis and Machine Intelligence
Shape and motion from image streams under orthography: a factorization method
International Journal of Computer Vision
Conics-based stereo, motion estimation, and pose determination
International Journal of Computer Vision
3D motion recovery via affine epipolar geometry
International Journal of Computer Vision
Active tracking of foveated feature clusters using affine structure
International Journal of Computer Vision
Self-calibration of an affine camera from multiple views
International Journal of Computer Vision
A Paraperspective Factorization Method for Shape and Motion Recovery
IEEE Transactions on Pattern Analysis and Machine Intelligence
Computer Vision and Image Understanding
Affine Structure and Motion from Points, Lines and Conics
International Journal of Computer Vision
Evaluation of Interest Point Detectors
International Journal of Computer Vision - Special issue on a special section on visual surveillance
Multiple view geometry in computer visiond
Multiple view geometry in computer visiond
Linear fitting with missing data for structure-from-motion
Computer Vision and Image Understanding
The Geometry of Multiple Images: The Laws That Govern The Formation of Images of A Scene and Some of Their Applications
Numerical Recipes in FORTRAN; The Art of Scientific Computing
Numerical Recipes in FORTRAN; The Art of Scientific Computing
Linear Multi View Reconstruction and Camera Recovery Using a Reference Plane
International Journal of Computer Vision
Principal Component Analysis with Missing Data and Its Application to Polyhedral Object Modeling
IEEE Transactions on Pattern Analysis and Machine Intelligence
CVPR '97 Proceedings of the 1997 Conference on Computer Vision and Pattern Recognition (CVPR '97)
A Factorization Method for Affine Structure from Line Correspondences
CVPR '96 Proceedings of the 1996 Conference on Computer Vision and Pattern Recognition (CVPR '96)
A Unified Factorization Algorithm for Points, Line Segments and Planes with Uncertainty Models
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
A bayesian approach for affine auto-calibration
SCIA'05 Proceedings of the 14th Scandinavian conference on Image Analysis
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The known factorisation algorithm for the maximum likelihood affine reconstruction requires that all the feature points used must be visible in all views. We derive here a conditional solution for the 3D coordinates of the feature points and translation vectors given the inhomogeneous affine projection matrices, but no single feature point needs to be visible in all views. The solution represents closed-form maximum likelihood, generalised affine triangulation under missing data and unknown translations, and it implies two iterative algorithms for the maximum likelihood affine reconstruction where all the measured data may be used. For the case where at least four non-coplanar points are visible in all views, a non-iterative solution for affine reconstruction with missing data is also proposed. As reported, the closed-form-expression additionally has applications in affine bundle adjustment and identifying degenerate configurations.