Shape and motion from image streams under orthography: a factorization method
International Journal of Computer Vision
Characterizing the uncertainty of the fundamental matrix
Computer Vision and Image Understanding
Statistical Optimization for Geometric Computation: Theory and Practice
Statistical Optimization for Geometric Computation: Theory and Practice
A Factorization Based Algorithm for Multi-Image Projective Structure and Motion
ECCV '96 Proceedings of the 4th European Conference on Computer Vision-Volume II - Volume II
Automatic Camera Recovery for Closed or Open Image Sequences
ECCV '98 Proceedings of the 5th European Conference on Computer Vision-Volume I - Volume I
Multi-view Matching for Unordered Image Sets, or "How Do I Organize My Holiday Snaps?"
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part I
Bundle Adjustment - A Modern Synthesis
ICCV '99 Proceedings of the International Workshop on Vision Algorithms: Theory and Practice
Multiple View Geometry in Computer Vision
Multiple View Geometry in Computer Vision
3D Reconstruction by Fitting Low-Rank Matrices with Missing Data
CVPR '05 Proceedings of the 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05) - Volume 1 - Volume 01
3DPVT '06 Proceedings of the Third International Symposium on 3D Data Processing, Visualization, and Transmission (3DPVT'06)
An Efficient Shortest Triangle Paths Algorithm Applied to Multi-camera Self-calibration
Journal of Mathematical Imaging and Vision
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This paper presents a general constructive algorithm to recover external camera parameters from a set of pairwise partial camera calibrations embedded in the structure named Camera Dependency Graph(CDG) [1] that encompasses both the feasibility and the reliability of each calibration. An edge in CDG and its weight account for the existence and for the quality of the essential matrix between the two views connected by it, respectively. Any triplet of cameras sharing visible points forms a triangle in a CDG, which permits to compute the relative scale between any two of its edges. The algorithm first selects from CDG the set of feasiblepaths being the shortest ones in terms of reliability that also are connected by a sequence of triangles. The global external parameters of the arrangement of cameras are computed in a process in two steps that aggregates partial calibrations, represented by triangles, along the paths connecting pairs of views taking into account the relative scales between triangles until recovering the parameters between the extremes of each path. Finally, the scales of the whole set of paths are referred to one canonical value corresponding to the edge in the CDG working as the global scale. Initial experimental results on simulated data demonstrate the usefulness and accuracy of such scheme that can be applied either alone or as the initial approximation for other calibration methods.