Computation of ego motion using the vertical cue
Machine Vision and Applications
Performance Evaluation and Analysis of Vanishing Point Detection Techniques
IEEE Transactions on Pattern Analysis and Machine Intelligence
Contribution to the Determination of Vanishing Points Using Hough Transform
IEEE Transactions on Pattern Analysis and Machine Intelligence
Multiple View Geometry in Computer Vision
Multiple View Geometry in Computer Vision
Vision and Inertial Sensor Cooperation Using Gravity as a Vertical Reference
IEEE Transactions on Pattern Analysis and Machine Intelligence
An Efficient Solution to the Five-Point Relative Pose Problem
IEEE Transactions on Pattern Analysis and Machine Intelligence
Distinctive Image Features from Scale-Invariant Keypoints
International Journal of Computer Vision
Five-Point Motion Estimation Made Easy
ICPR '06 Proceedings of the 18th International Conference on Pattern Recognition - Volume 01
Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra, 3/e (Undergraduate Texts in Mathematics)
An Alternative Formulation for Five Point Relative Pose Problem
WMVC '07 Proceedings of the IEEE Workshop on Motion and Video Computing
Interpreting perspective images
Artificial Intelligence
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This paper presents a new method to solve the relative pose between two images, using three pairs of homologous points and the knowledge of the vertical direction. The vertical direction can be determined in two ways: The first requires direct physical measurements such as the ones provided by an IMU (inertial measurement unit). The other uses the automatic extraction of the vanishing point corresponding to the vertical direction in an image. This knowledge of the vertical direction solves two unknowns among the three parameters of the relative rotation, so that only three homologous couples of points are requested to position a couple of images. Rewriting the coplanarity equations thus leads to a much simpler solution. The remaining unknowns resolution is performed by "hiding a variable" approach. The elements necessary to build a specific algebraic solver are given in this paper, allowing for a real-time implementation. The results on real and synthetic data show the efficiency of this method.