3-D Pose from 3 Points Using Weak-Perspective

Authors:
T. D. Alter
Affiliations:
-
Venue:
IEEE Transactions on Pattern Analysis and Machine Intelligence
Year:
1994

Citing 5
Cited 15

Pose Determination of a Three-Dimensional Object Using Triangle Pairs

IEEE Transactions on Pattern Analysis and Machine Intelligence
Recognizing solid objects by alignment with an image

International Journal of Computer Vision
Recognition by Linear Combinations of Models

IEEE Transactions on Pattern Analysis and Machine Intelligence - Special issue on interpretation of 3-D scenes—part I
Random sample consensus: a paradigm for model fitting with applications to image analysis and automated cartography

Communications of the ACM
Robust and Efficient 3D Recognition by Alignment

Robust and Efficient 3D Recognition by Alignment

Efficient Pose Clustering Using a Randomized Algorithm

International Journal of Computer Vision
Uncertainty Propagation in Model-Based Recognition

International Journal of Computer Vision
Graph Matching With a Dual-Step EM Algorithm

IEEE Transactions on Pattern Analysis and Machine Intelligence
Robust Affine Structure Matching for 3D Object Recognition

IEEE Transactions on Pattern Analysis and Machine Intelligence
Probabilistic 3D Object Recognition

International Journal of Computer Vision
Optimum Fiducials Under Weak Perspective Projection

International Journal of Computer Vision
Uniqueness of 3D Pose Under Weak Perspective: A Geometrical Proof

IEEE Transactions on Pattern Analysis and Machine Intelligence
View synthesis under perspective projection

Multimodal interface for human-machine communication
Uncertainty in Pose Estimation: A Bayesian Approach

ICPR '98 Proceedings of the 14th International Conference on Pattern Recognition-Volume 2 - Volume 2
A Minimal Solution to the Generalised 3-Point Pose Problem

Journal of Mathematical Imaging and Vision
A general recursive linear method and unique solution pattern design for the perspective-n-point problem

Image and Vision Computing
Object recognition using point uncertainty regions as pose uncertainty regions

Image and Vision Computing
Estimating pose through local geometry

3DIM'99 Proceedings of the 2nd international conference on 3-D digital imaging and modeling
Estimating face pose by facial asymmetry and geometry

FGR' 04 Proceedings of the Sixth IEEE international conference on Automatic face and gesture recognition
Pose Estimation for 3D Workpiece Grasping in Industrial Environment Based on Evolutionary Algorithm

Journal of Intelligent and Robotic Systems

Quantified Score

Hi-index	0.14

Visualization

Abstract

This correspondence discusses computing the pose of a model from three matching point pairs under weak-perspective projection. A new approach to the problem that is motivated geometrically is described. Like previous methods, the method here involves solving a biquadratic equation, but here the biquadratic's solutions, comprised of an actual and a false solution, are interpreted graphically. The final equations take a new form, which leads to a simple expression for the image position of any unmatched model point.