Shape and motion from image streams under orthography: a factorization method
International Journal of Computer Vision
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)
Handling missing data in the computation of 3d affine transformations
EMMCVPR'05 Proceedings of the 5th international conference on Energy Minimization Methods in Computer Vision and Pattern Recognition
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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 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 3D 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. We experimentally compare our algorithm to other methods using simulated and real data.