Estimating 3-D location parameters using dual number quaternions
CVGIP: Image Understanding
Shape and motion from image streams under orthography: a factorization method
International Journal of Computer Vision
Geometric invariance in computer vision
Geometric invariance in computer vision
Active tracking of foveated feature clusters using affine structure
International Journal of Computer Vision
Sequential Updating of Projective and Affine Structure from Motion
International Journal of Computer Vision
Finding the collineation between two projective reconstructions
Computer Vision and Image Understanding
Automatic Camera Recovery for Closed or Open Image Sequences
ECCV '98 Proceedings of the 5th European Conference on Computer Vision-Volume I - Volume I
CVPR '97 Proceedings of the 1997 Conference on Computer Vision and Pattern Recognition (CVPR '97)
On aligning sets of points reconstructed from uncalibrated affine cameras
SCIA'05 Proceedings of the 14th Scandinavian conference on Image Analysis
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The reconstruction of rigid scenes from multiple images is a central topic in computer vision. Approaches merging partial 3D models in a hierarchical manner have proven the most effective to deal with large image sequences. One of the key building blocks of these hierarchical approaches is the alignment of two partial 3D models, which requires to express them in the same 3D coordinate frame by computing a 3D transformation. This problem has been well-studied for the cases of 3D models obtained with calibrated or uncalibrated pinhole cameras. We tackle the problem of aligning 3D models – sets of 3D points – obtained using uncalibrated affine cameras. This requires to estimate 3D affine transformations between the models. We propose a factorization-based algorithm estimating simultaneously the aligning transformations and corrected points, exactly matching the estimated transformations, such that the reprojection error over all cameras is minimized. In the case of incomplete image data our algorithm uses an Expectation Maximization (EM) based scheme that alternates prediction of the missing data and estimation of the affine transformation. We experimentally compare our algorithm to other methods using simulated and real data.