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应用柯西推理证明不等式
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作者 王盛刚 《高等函授学报(自然科学版)》 1996年第5期43-44,共2页
不等式的证明方法多种多样,本文讨论应用柯西推理证明不等式。 法国数学家柯西(A.L.Cauchy)在《分析教程》的注释Ⅱ中,对于AG不等式给出了一个证明。其方法是:为证明命题P(n)
关键词 柯西推理 不等式 证明方法 调和平均变换 几何平均变换 算术平均变换
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Flexible Calibration Method for 3D Laser Scanner System 被引量:2
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作者 杨中东 王鹏 +1 位作者 李晓慧 孙长库 《Transactions of Tianjin University》 EI CAS 2014年第1期27-35,共9页
In this paper, a flexible high-precision calibration method suitable for industrial field was proposed. The complexity of the coordinate transformation was simplified by choosing the camera coordinate system as the un... In this paper, a flexible high-precision calibration method suitable for industrial field was proposed. The complexity of the coordinate transformation was simplified by choosing the camera coordinate system as the unified reference coordinate system. A flexible planar calibration pattern was introduced to the calibration process, which can be arbitrarily placed and from which the known feature points can be extracted to construct other unknown feature points. With the known intrinsic parameters, the laser projector plane equation was fitted by the multi-noncollinear points, which were acquired through the principle of triangulation and the projective invariance of cross ratio. With this method, the strict alignment and multiple times of coordinate transformation can be avoided. Experimental results showed that the arithmetic mean of the root mean square(RMS) error of distance was 0.000 7 mm. 展开更多
关键词 structured light laser scanner flexible planar target cross ratio CALIBRATION
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