Homography Based Egomotion Estimation with a Common Direction

@article{Saurer2017HomographyBE,
  title={Homography Based Egomotion Estimation with a Common Direction},
  author={Olivier Saurer and P. Vasseur and R{\'e}mi Boutteau and C. Demonceaux and M. Pollefeys and F. Fraundorfer},
  journal={IEEE Transactions on Pattern Analysis and Machine Intelligence},
  year={2017},
  volume={39},
  pages={327-341}
}
In this paper, we explore the different minimal solutions for egomotion estimation of a camera based on homography knowing the gravity vector between calibrated images. These solutions depend on the prior knowledge about the reference plane used by the homography. We then demonstrate that the number of matched points can vary from two to three and that a direct closed-form solution or a Gröbner basis based solution can be derived according to this plane. Many experimental results on synthetic… Expand
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References

SHOWING 1-10 OF 44 REFERENCES
A Homography Formulation to the 3pt Plus a Common Direction Relative Pose Problem
TLDR
This paper uses the homography constraint to derive a novel formulation for the 3pt problem that allows the computation of the normal vector of the plane defined by the three input points without any additional computation in addition to the standard motion parameters of the camera. Expand
Homography based visual odometry with known vertical direction and weak Manhattan world assumption
In this paper we present a novel visual odometry pipeline, that exploits the weak Manhattan world assumption and known vertical direction. A novel 2pt and 2.5pt method for computing the essentialExpand
Two Efficient Solutions for Visual Odometry Using Directional Correspondence
TLDR
A simple, closed-form solution and a solution based on algebraic geometry which offers numerical advantages to the two-view, relative pose problem from three image point correspondences and one common reference direction are presented. Expand
1-Point-based monocular motion estimation for computationally-limited micro aerial vehicles
We propose a novel method to estimate the relative motion between two consecutive camera views, which only requires the observation of a single feature in the scene and the knowledge of the angularExpand
A New Solution to the Relative Orientation Problem Using Only 3 Points and the Vertical Direction
TLDR
The elements necessary to build a specific algebraic solver are given in this paper, allowing for a real-time implementation and the results on real and synthetic data show the efficiency of this method. Expand
Rotation estimation and vanishing point extraction by omnidirectional vision in urban environment
TLDR
Experimental results on various data sets for diverse robotic applications have demonstrated that the novel framework is accurate, robust, maintains the orthogonality of the vanishing points and can run in real-time. Expand
2-Point-based outlier rejection for camera-IMU systems with applications to micro aerial vehicles
TLDR
It is shown that in the case of a monocular camera mounted on a quadrotor vehicle, motion priors from IMU can be used to discard wrong estimations in the framework of a 2-point-RANSAC based approach. Expand
A 3 points vision based approach for MAV localization in GPS denied environments
TLDR
A new method to localize a micro aerial vehicle (MAV) in GPS denied environments and without the usage of any known pattern is introduced, based on a closed solution which provides the vehicle pose from a single camera image, once the roll and the pitch angles are obtained by the inertial measurements. Expand
A Minimal Case Solution to the Calibrated Relative Pose Problem for the Case of Two Known Orientation Angles
TLDR
A novel minimal case solution to the calibrated relative pose problem using 3 point correspondences for the case of two known orientation angles is presented and it is shown that the new 3-point algorithm can cope with planes and even collinear points. Expand
1-Point-RANSAC Structure from Motion for Vehicle-Mounted Cameras by Exploiting Non-holonomic Constraints
  • D. Scaramuzza
  • Computer Science
  • International Journal of Computer Vision
  • 2011
TLDR
By exploiting the nonholonomic constraints of wheeled vehicles it is possible to use a restrictive motion model which allows us to parameterize the motion with only 1 point correspondence and results in the two most efficient algorithms for removing outliers: 1-point RANSAC and histogram voting. Expand
...
1
2
3
4
5
...