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利用灭点进行相机检校与定姿的充要条件及其不确定性分析 被引量:8

The Necessary and Sufficient Condition of Camera Calibration and Attitude Determination Based on Vanishing Points with Their Uncertainty Analysis
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摘要 探讨和论证利用3个正交方向的灭点进行相机的内外方位元素定标与定参的不确定性问题,给出灭点定参的充要条件。着重探讨双正交方向灭点联合误差分布下解算第三灭点的问题,补充了相对误差椭圆估计灭点的不确定性方法。提出利用Monte-Carlo方法模拟第三灭点空间分布和估算分布范围大小(面积)的算法。探讨灭点空间分布规律和不确定性。 The uncertainty of camera calibration and attitude determination is discussed and demonstrated based on threeorthogonal vanishing points. The necessary and sufficient condition of parameters determination is given out. Especially,under the condition of joint error distribution of two orthogonal directions vanishing points (Vx, Vy), how to solve the third vanishing point ( Vz ) is discussed. Assessment of the uncertainties of vanishing points based on relative error ellipse is supplemented. Furthermore,the algorithms of simulating the spatial distribution of theVz and estimating its area size are presented by Monte-Carlo method. The laws and the uncertainty of spatial distribution on vanishing points are also discussed.
作者 李畅
出处 《测绘学报》 EI CSCD 北大核心 2012年第6期851-856,885,共7页 Acta Geodaetica et Cartographica Sinica
基金 国家自然科学基金(41101407) 湖北省自然科学基金(2010CDZ005) 华中师范大学中央高校基本科研项目(CCNU10A01001)
关键词 灭点 定参 相对误差椭圆 不确定性 MONTE-CARLO方法 vanishing point parameters determination relative error ellipse uncertainty Monte-Carlo method
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参考文献12

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二级参考文献41

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