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A Flexible New Technique for Camera Calibration

A Flexible New Technique for CameraCalibrationZhengyou ZhangDecember 2, 1998 (updated on december 14, 1998 )(updated on March 25, 1999)(updated on Aug. 10, 2002; a typo in Appendix B)(last updated on Aug. 13, 2008; a typo in Section )Technical ReportMSR-TR-98-71 Microsoft ResearchMicrosoft CorporationOne Microsoft WayRedmond, WA zhangA Flexible New Technique for Camera CalibrationZhengyou ZhangMicrosoft Research, One Microsoft Way, Redmond, WA 98052-6399, zhangContents1 Motivations22 Basic .. between the model plane and its image .. on the intrinsic parameters .. Interpretation ..43 Solving Camera solution .. likelihood estimation .. with radial distortion ..84 Degenerate Configurations85 Experimental Simulations .. Data .. with Respect to Model Imprecision .. noise in the model points .. non-planarity of the model pattern ..156 Conclusion17A Estimation of the Homography Between the Model Plane and its Image17B Extraction of the Intrinsic Parameters from MatrixB18C Approximating a3 3matrix by a Rotation Matrix18D Camera Calibration Under Known Pure Translation 19 added on december 14, 1998 added on december 28, 1998 ; added results on systematic non-planarity on March 25, 1998 added on december 14, 1998 , corrected (based on the comments from Andrew Zisserman) on January 7, 19991A Flexible New Technique for Camera

yadded on December 14, 1998 zadded on December 28, 1998; added results on systematic non-planarity on March 25, 1998 xadded on December 14, 1998, corrected (based on the comments from Andrew Zisserman) on January 7, 1999 1

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  1998, Camera, Calibration, Flexible, Technique, December, Flexible new technique for camera calibration

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