Determining camera parameters from the perspective projection of a rectangle
Pattern Recognition
Geometric invariance in computer vision
Geometric invariance in computer vision
Algorithms in invariant theory
Algorithms in invariant theory
Algebraic and Geometric Tools to Compute Projective and Permutation Invariants
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Flexible New Technique for Camera Calibration
IEEE Transactions on Pattern Analysis and Machine Intelligence
Multiple view geometry in computer visiond
Multiple view geometry in computer visiond
A Geometric Approach for the Theory and Applications of 3D Projective Invariants
Journal of Mathematical Imaging and Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
ECCV '96 Proceedings of the 4th European Conference on Computer Vision-Volume II - Volume II
ECCV '98 Proceedings of the 5th European Conference on Computer Vision-Volume I - Volume I
3D Modelling Using Geometric Constraints: A Parallelepiped Based Approach
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part IV
Single-View Metrology: Algorithms and Applications
Proceedings of the 24th DAGM Symposium on Pattern Recognition
ICPR '96 Proceedings of the 1996 International Conference on Pattern Recognition (ICPR '96) Volume I - Volume 7270
A New Methodology for Computing Invariants in Computer Vision
ICPR '96 Proceedings of the 1996 International Conference on Pattern Recognition (ICPR '96) Volume I - Volume 7270
The invariant representations of a quadric cone and a twisted cubic
IEEE Transactions on Pattern Analysis and Machine Intelligence
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Camera calibration and 3D reconstruction are important issues in computer vision. Two applications of bracket algebra in these two issues are presented in this work. Firstly, a camera calibration method is proposed, which is from only distance ratios of object points. Thanks to the effective computations of brackets, this method does not need to set up any world coordinate system and thus can use the geometric information of irregular objects conveniently. Secondly, we represent the reconstruction solution of plane structure directly from four known control points and give some new and useful error analysis results. The solution based on brackets is concise and short, and the error analysis results can act as a theoretical guidance in practice. Simulations and experiments on real images validate our proposed camera calibration method, direct reconstruction solution and error analysis results.