Camera-based monitoring of the rigid-body displacement of a mandrel in superconducting cable production

We describe a machine vision measurement head that is used to monitor the mandrel position in production of superconducting cables. Two cameras are orthogonally aligned, viewing different sections of the cylindrical part of the mandrel. The use of telecentric lenses obviates the need for re-calibration after the replacement of mandrel. All parameters of rigid-body motion are obtained in linear theory by using a multivariate least-squares fitting procedure on dynamically corresponded sets of target points that vary due to partial blocking by rotating wires. A rigorous analysis of measurement uncertainty is given.

[1]  K. S. Arun,et al.  Least-Squares Fitting of Two 3-D Point Sets , 1987, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[2]  P. R. Bevington,et al.  Data Reduction and Error Analysis for the Physical Sciences , 1969 .

[3]  Yonghuai Liu,et al.  Correspondenceless motion estimation from range images , 1999, Proceedings of the Seventh IEEE International Conference on Computer Vision.

[4]  Hassan Mostafavi.  Rigid body pose estimation accuracy: a comparison of single-camera and stereo techniques , 1994, Other Conferences.

[5]  Yiannis Aloimonos,et al.  Determining the 3-D motion of a rigid surface patch without correspondence, under perspective projection: I. planar surfaces. II. curved surfaces , 1986, AAAI 1986.

[6]  Max A. Viergever,et al.  A survey of medical image registration , 1998, Medical Image Anal..

[7]  S. Standard.  GUIDE TO THE EXPRESSION OF UNCERTAINTY IN MEASUREMENT , 2006 .

[8]  Norbert Schuster,et al.  Influence of the machine vision lens to the accuracy in contactless 2D-metrology , 2002, International Symposium on Optomechatronic Technologies.

[9]  Jay B. West,et al.  Predicting error in rigid-body point-based registration , 1998, IEEE Transactions on Medical Imaging.

[10]  W. EggertD.,et al.  Estimating 3-D rigid body transformations , 1997 .

[11]  Robert B. Fisher,et al.  Estimating 3-D rigid body transformations: a comparison of four major algorithms , 1997, Machine Vision and Applications.

[12]  Michael G. Strintzis,et al.  Robust estimation of rigid-body 3-D motion parameters based on point correspondences , 2000, IEEE Trans. Circuits Syst. Video Technol..

[13]  Jitendra Malik,et al.  Rigid Body Segmentation and Shape Description from Dense Optical Flow Under Weak Perspective , 1997, IEEE Trans. Pattern Anal. Mach. Intell..

[14]  Dmitry B. Goldgof,et al.  Motion estimation from scaled orthographic projections without correspondences , 1994, Image Vis. Comput..

[15]  Bernd Girod,et al.  An image-domain cost function for 3-D rigid body motion estimation , 2000, Proceedings 15th International Conference on Pattern Recognition. ICPR-2000.

[16]  Berthold K. P. Horn,et al.  Closed-form solution of absolute orientation using unit quaternions , 1987 .