Multiview Absolute Pose Using 3D - 2D Perspective Line Correspondences and Vertical Direction (bibtex)
by Nora Horanyi, Zoltan Kato
Abstract:
In this paper, we address the problem of estimating the absolute pose of a multiview calibrated perspective camera system from 3D - 2D line correspondences. We assume, that the vertical direction is known, which is often the case when the camera system is coupled with an IMU sensor, but it can also be obtained from vanishing points constructed in the images. Herein, we propose two solutions, both can be used as a minimal solver as well as a least squares solver without reformulation. The first solution consists of a single linear system of equations, while the second solution yields a polynomial equation of degree three in one variable and one systems of linear equations which can be efficiently solved in closed-form. The proposed algorithms have been evaluated on various synthetic datasets as well as on real data. Experimental results confirm state of the art performance both in terms of quality and computing time.
Reference:
Nora Horanyi, Zoltan Kato, Multiview Absolute Pose Using 3D - 2D Perspective Line Correspondences and Vertical Direction, In Proceedings of ICCV Workshop on Multiview Relationships in 3D Data, Venice, Italy, pp. 1-9, 2017, IEEE.
Bibtex Entry:
@string{iccv-multiview="Proceedings of ICCV Workshop on Multiview Relationships in 3D Data"}
@InProceedings{Horanyi2017b,
  author =	 {Nora Horanyi and Zoltan Kato},
  title =	 {Multiview Absolute Pose Using {3D} - {2D}
                  Perspective Line Correspondences and Vertical
                  Direction},
  booktitle =	 iccv-multiview,
  year =	 2017,
  pages =	 {1-9},
  address =	 {Venice, Italy},
  month =	 oct,
  publisher =	 {IEEE},
  abstract =	 {In this paper, we address the problem of estimating
                  the absolute pose of a multiview calibrated
                  perspective camera system from 3D - 2D line
                  correspondences. We assume, that the vertical
                  direction is known, which is often the case when the
                  camera system is coupled with an IMU sensor, but it
                  can also be obtained from vanishing points
                  constructed in the images. Herein, we propose two
                  solutions, both can be used as a minimal solver as
                  well as a least squares solver without
                  reformulation. The first solution consists of a
                  single linear system of equations, while the second
                  solution yields a polynomial equation of degree
                  three in one variable and one systems of linear
                  equations which can be efficiently solved in
                  closed-form. The proposed algorithms have been
                  evaluated on various synthetic datasets as well as
                  on real data. Experimental results confirm state of
                  the art performance both in terms of quality and
                  computing time.},
}
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