Pose determination and plane measurement using a trapezium

Authors:
Fuqing Duan;Fuchao Wu;Zhanyi Hu
Affiliations:
College of Information Science and Technology, Beijing Normal University, Beijing 100875, PR China and National Laboratory of Pattern Recognition, Institute of Automation, Chinese Academy of Scien ...;National Laboratory of Pattern Recognition, Institute of Automation, Chinese Academy of Sciences, P.O. Box 2728, Beijing 100080, PR China;National Laboratory of Pattern Recognition, Institute of Automation, Chinese Academy of Sciences, P.O. Box 2728, Beijing 100080, PR China
Venue:
Pattern Recognition Letters
Year:
2008

Citing 11
Cited 6

An analytic solution for the perspective 4-point problem

Computer Vision, Graphics, and Image Processing
Determining camera parameters from the perspective projection of a rectangle

Pattern Recognition
Determining camera parameters from the perspective projection of a quadrilateral

Pattern Recognition
Fitting Parameterized Three-Dimensional Models to Images

IEEE Transactions on Pattern Analysis and Machine Intelligence
Pose estimation using four corresponding points

Pattern Recognition Letters
Linear N-Point Camera Pose Determination

IEEE Transactions on Pattern Analysis and Machine Intelligence
Random sample consensus: a paradigm for model fitting with applications to image analysis and automated cartography

Communications of the ACM
Multiple view geometry in computer visiond

Multiple view geometry in computer visiond
A Note on the Number of Solutions of the Noncoplanar P4P Problem

IEEE Transactions on Pattern Analysis and Machine Intelligence
Linear Pose Estimation from Points or Lines

IEEE Transactions on Pattern Analysis and Machine Intelligence
Complete Solution Classification for the Perspective-Three-Point Problem

IEEE Transactions on Pattern Analysis and Machine Intelligence

Monocular Model-Based 3D Location for Autonomous Robots

MICAI '08 Proceedings of the 7th Mexican International Conference on Artificial Intelligence: Advances in Artificial Intelligence
An immune evolutionary algorithm based pose estimation method for parallel manipulator

Proceedings of the first ACM/SIGEVO Summit on Genetic and Evolutionary Computation
Landmark Real-Time Recognition and Positioning for Pedestrian Navigation

CIARP '09 Proceedings of the 14th Iberoamerican Conference on Pattern Recognition: Progress in Pattern Recognition, Image Analysis, Computer Vision, and Applications
3D real-time positioning for autonomous navigation using a nine-point landmark

Pattern Recognition
An efficient two-step solution for vision-based pose determination of a parallel manipulator

Robotics and Computer-Integrated Manufacturing
Calibrating effective focal length for central catadioptric cameras using one space line

Pattern Recognition Letters

Quantified Score

Hi-index	0.10

Visualization

Abstract

In this paper, a new affine invariant of trapezia is introduced, and the projection of trapezia is deduced from this invariant. Known the lengths of the two parallel sides of a trapezium, pose estimation and plane measurement can be realized in a very simple way from the projection of the trapezium. Experiments on simulated and real images show that the approach is robust and accurate. Two parallel lines, which can determine a trapezium, are not rare in many structured scenes, the proposed method has wide applicability.