Evaluation of Quantization Error in Computer Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
Stochastic Analysis of Stereo Quantization Error
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Pattern Analysis and Machine Intelligence
On Quantization Errors in Computer Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
Analysis Of Camera Movement Errors In Vision-Based Vehicle Tracking
IEEE Transactions on Pattern Analysis and Machine Intelligence
An Orientation Reliability Matrix for the Iterative Closest Point Algorithm
IEEE Transactions on Pattern Analysis and Machine Intelligence
Correction to "Error Analysis in Stereo Determination of 3-D Point Positions"
IEEE Transactions on Pattern Analysis and Machine Intelligence
Performance Analysis of Stereo, Vergence, and Focus as Depth Cues for Active Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
A new approach to automatic reconstruction of a 3-D world using active stereo vision
Computer Vision and Image Understanding
Bootstrapping Errors-in-Variables Models
ICCV '99 Proceedings of the International Workshop on Vision Algorithms: Theory and Practice
A General Method for Sensor Planning in Multi-Sensor Systems: Extension to Random Occlusion
International Journal of Computer Vision
Research on Optimum Position for Straight Lines Model
ICIC '08 Proceedings of the 4th international conference on Intelligent Computing: Advanced Intelligent Computing Theories and Applications - with Aspects of Theoretical and Methodological Issues
Error Analysis of Stereo Calibration and Reconstruction
MIRAGE '09 Proceedings of the 4th International Conference on Computer Vision/Computer Graphics CollaborationTechniques
Develop feedback robot planning method for 3D surface inspection
IROS'09 Proceedings of the 2009 IEEE/RSJ international conference on Intelligent robots and systems
Predicting corresponding region in a third view using discrete epipolar lines
DGCI'08 Proceedings of the 14th IAPR international conference on Discrete geometry for computer imagery
Error evaluation in a stereovision-based 3D reconstruction system
Journal on Image and Video Processing - Special issue on multicamera information processing: acquisition, collaboration, interpretation, and production
DGCI'05 Proceedings of the 12th international conference on Discrete Geometry for Computer Imagery
Multi-modal object detection and localization for high integrity driving assistance
Machine Vision and Applications
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The relationship between the geometry of a stereo camera setup and the accuracy in obtaining three-dimensional position information is of great practical importance in many imaging applications. Assuming a point in a scene has been correctly identified in each image, its three-dimensional position can be recovered via a simple geometrical method known as triangulation. The probability that position estimates from triangulation are within some specified error tolerance is derived. An ideal pinhole camera model is used and the error is modeled as known spatial image plane quantization. A point's measured position maps to a small volume in 3-D determined by the finite resolution of the stereo setup. With the assumption that the point's actual position is uniformly distributed inside this volume, closed form expressions for the probability distribution of error in position along each coordinate direction (horizontal, vertical, and range) are derived. Following this, the probability that range error dominates over errors in the point's horizontal or vertical position is determined. It is hoped that the results presented will have an impact upon both sensor design and error modeling of position measuring systems for computer vision and related applications.