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数码相机定位研究
引用本文:马元魁,谭立兴,董园园,胡杨林. 数码相机定位研究[J]. 纯粹数学与应用数学, 2011, 27(5): 705-710
作者姓名:马元魁  谭立兴  董园园  胡杨林
作者单位:西安工业大学数理系,陕西西安,710032
摘    要:讨论了数码相机的定位问题,假设针孔镜头成像,根据射影几何的理论建立数学模型.首先,对靶标的像图形进行处理,求出其中每个图形的外切点,通过交比不变性和点的共线理论对所求的外切点进行约束从而得到最优的外切点,最后求出各个圆圆心在像平面的坐标.然后,考虑图形在成像过程中发生的“畸变”,通过空间坐标变换把在像平面局部坐标的分析...

关 键 词:相机标定  畸变  交比  空间坐标转换

Research on digital camera calibration
MA Yuan-kui,TAN Li-xing,DONG Yuan-yuan,HU Yang-lin. Research on digital camera calibration[J]. Pure and Applied Mathematics, 2011, 27(5): 705-710
Authors:MA Yuan-kui  TAN Li-xing  DONG Yuan-yuan  HU Yang-lin
Affiliation:(Department of Mathematics and Physics,Xi’an Technological University,Xi’an 710032,China)
Abstract:The digital camera calibration was discussed. Assuming the pinhole camera imaging, a mathematical model was built according to the theory of projective geometry. Firstly, the graphics on the target were processed, in which the circumscribed points of each graph were obtained, and the optimal circumscribed points were obtained with constraints of cross ratio invariance. So the coordinates of the center of each circle in the image plane can be obtained. Then considering the distortion of graphics in imaging process, the analysis in the local coordinate was extended to the global coordinate through space coordinate transformation to obtain the final camera position.
Keywords:calibration,distortion  cross ratio,space coordinate transformation
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