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Improving the measuring accuracy and reliability of a binocular structured light measurement system
Published in Khaled Habib, Elfed Lewis, Frontier Research and Innovation in Optoelectronics Technology and Industry, 2018
J.R. Zhang, Y.J. Zhang, B. Chen
The measurement results of the ball are shown in Figure 4. Table 2 shows the statistics of the measuring error. The measurement error of the ball is defined as the distance from the measuring point-data to the fitted spherical surface. The radius of the ball is 20.050 mm, which is measured by a Coordinate Measuring Machine (CMM). The measurement results of the binocular structured light measurement system are: the fitted radius of the ball is 20.252 mm, and the max error and standard deviation of error are 1.792 mm and 0.218 mm, respectively. The results of the measuring data processed by the proposed method are: the fitted radius of the ball reaches to 19.923 mm, which is the closest one to the actual radius, the max error reduces to 0.565 mm, and the standard deviation of error is 0.134 mm. These errors are smaller than the results of binocular structured light system.
Real-time video moiré topography
Published in C A Walker, Handbook of Moiré Measurement, 2003
Joris JJ Dirckx, Willem F Decraemer
The measuring resolution was tested on a steel bearing ball with a spherical surface precision better than 1 μm. The diameter of the ball is (6.750 ± 0.005) mm. Because diffuse reflection is needed in projection moiré topography, the surface of the ball was coated with white Chinese ink.
Uniqueness problem and growth property for Fourier transform of functions in the upper half-space
Published in Applicable Analysis, 2022
Define norms and respectively, we have here C is a constant and different conditions can be represented different constants. Therefore On the other hand where is the surface area of unit ball in . By the definition of Class C for subharmonic functions, Theorem 3.1 is proved.
Loop detection for 3D LiDAR SLAM using segment-group matching
Published in Advanced Robotics, 2020
We use simple segments, such as planes, lines, and balls. Planes and lines are detected by fitting plane/line equations to map points in a virtual scan. A ball is a set of map points within a sphere of radius r. In actual implementation, m. The position of the ball is defined by the geometric center of the sphere. Note that segments of the same type do not share map points.