Research of Binocular Positioning Mathematical Model Based on the Least Square Method

Abstract:

By giving a centroid algorithm to extract pixel coordinates of each circle in the center of a circle under the coordinates, through the coordinate transformation the image coordinates can be obtained. Based on the data obtained from above to verify the model, from the specific data of the relative error, absolute error and error propagation theory to discuss the algorithm accuracy and stability. Finally using the least square method, according to the mean square error criteria for the establishment of a minimum of three-dimensional coordinate system fixed relative position of two cameras, binocular positioning mathematical models and by discussing the nature of matrix and the relationship between the relative position of the camera to calibrate the binocular digital camera.

• Periodical: Applied Mechanics and Materials (Volumes 50-51)
• Pages: 473-477
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.50-51.473
• Online since: February 2011
• Authors: Chun Feng Liu, Xiao Li Meng, Huan Cheng Zhang
• Keywords: Binocular Calibration, Centroid Algorithm, Least-Square Method (LSM), Transition Matrix

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