25 November 2009 The model and its solution's uniqueness of a portable 3D vision coordinate measuring system
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Proceedings Volume 7634, Optical Sensors and Biophotonics; 76340Z (2009) https://doi.org/10.1117/12.849616
Event: Asia Communications and Photonics, 2009, Shanghai, Shanghai , China
Abstract
The portable three-dimensional vision coordinate measuring system, which consists of a light pen, a CCD camera and a laptop computer, can be widely applied in most coordinate measuring fields especially on the industrial spots. On the light pen there are at least three point-shaped light sources (LEDs) acting as the measured control characteristic points and a touch trigger probe with a spherical stylus which is used to contact the point to be measured. The most important character of this system is that three light sources and the probe stylus are aligned in one line with known positions. In building and studying this measuring system, how to construct the system's mathematical model is the most key problem called Perspective of Three-Collinear-points Problem, which is a particular case of Perspective of Three-points Problem (P3P). On the basis of P3P and spatial analytical geometry theory, the system's mathematical model is established. What's more, it is verified that Perspective of Three-Collinear-points Problem has a unique solution. And the analytical equations of the measured point's coordinates are derived by using the system's mathematical model and the restrict condition that three light sources and the probe stylus are aligned in one line. Finally, the effectiveness of the mathematical model is confirmed by experiments.
© (2009) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Fengshan Huang, Huifen Qian, "The model and its solution's uniqueness of a portable 3D vision coordinate measuring system", Proc. SPIE 7634, Optical Sensors and Biophotonics, 76340Z (25 November 2009); doi: 10.1117/12.849616; https://doi.org/10.1117/12.849616
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