loading
Documents

Research.Publish.Connect.

Paper

Author: Levente Hajder

Affiliation: MTA SZTAKI, Hungary

ISBN: 978-989-758-227-1

Keyword(s): Weak-perspective Projection, Calibration, PnP, Structure from Motion.

Related Ontology Subjects/Areas/Topics: Computer Vision, Visualization and Computer Graphics ; Device Calibration, Characterization and Modeling ; Image Formation and Preprocessing ; Motion, Tracking and Stereo Vision ; Stereo Vision and Structure from Motion

Abstract: Camera calibration is a key problem in 3D computer vision since the late 80's. Most of the calibration methods deal with the (perspective) pinhole camera model. This is not a simple goal: the problem is nonlinear due to the perspectivity. The strategy of these methods is to estimate the intrinsic camera parameters first; then the extrinsic ones are computed by the so-called PnP method. Finally, the accurate camera parameters are obtained by slow numerical optimization. In this paper, we show that the weak-perspective camera model can be optimally calibrated without numerical optimization if the $L_2$ norm is used. The solution is given by a closed-form formula, thus the estimation is very fast. We call this method as the Weak-Perspective n-Point (W-PnP) algorithm. Its advantage is that it simultaneously estimates the two intrinsic weak-perspective camera parameters and the extrinsic ones. We show that the proposed calibration method can be utilized as the solution for a subproblem of 3D reconstruction with missing data. An alternating least squares method is also defined that optimizes the camera motion using the proposed optimal calibration method. (More)

PDF ImageFull Text

Download
Sign In Guest: Register as new SciTePress user now for free.

Sign In SciTePress user: please login.

PDF ImageMy Papers

You are not signed in, therefore limits apply to your IP address 3.90.56.90

In the current month:
Recent papers: 100 available of 100 total
2+ years older papers: 200 available of 200 total

Paper citation in several formats:
Hajder, L. (2017). W-PnP Method: Optimal Solution for the Weak-Perspective n-Point Problem and Its Application to Structure from Motion.In Proceedings of the 12th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications - Volume 6: VISAPP, (VISIGRAPP 2017) ISBN 978-989-758-227-1, pages 265-276. DOI: 10.5220/0006158902650276

@conference{visapp17,
author={Levente Hajder.},
title={W-PnP Method: Optimal Solution for the Weak-Perspective n-Point Problem and Its Application to Structure from Motion},
booktitle={Proceedings of the 12th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications - Volume 6: VISAPP, (VISIGRAPP 2017)},
year={2017},
pages={265-276},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0006158902650276},
isbn={978-989-758-227-1},
}

TY - CONF

JO - Proceedings of the 12th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications - Volume 6: VISAPP, (VISIGRAPP 2017)
TI - W-PnP Method: Optimal Solution for the Weak-Perspective n-Point Problem and Its Application to Structure from Motion
SN - 978-989-758-227-1
AU - Hajder, L.
PY - 2017
SP - 265
EP - 276
DO - 10.5220/0006158902650276

Login or register to post comments.

Comments on this Paper: Be the first to review this paper.