Structure-from-motion based hand-eye calibration using L$_8$ minimization

  • Authors:
  • J. Heller;M. Havlena;A. Sugimoto;T. Pajdla

  • Affiliations:
  • Fac. of Electr. Eng., Czech Tech. Univ., Prague, Czech Republic;Fac. of Electr. Eng., Czech Tech. Univ., Prague, Czech Republic;Nat. Inst. of Inf., Tokyo, Japan;Fac. of Electr. Eng., Czech Tech. Univ., Prague, Czech Republic

  • Venue:
  • CVPR '11 Proceedings of the 2011 IEEE Conference on Computer Vision and Pattern Recognition
  • Year:
  • 2011

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Abstract

This paper presents a novel method for so-called hand-eye calibration. Using a calibration target is not possible for many applications of hand-eye calibration. In such situations Structure-from-Motion approach of hand-eye calibration is commonly used to recover the camera poses up to scaling. The presented method takes advantage of recent results in the $L_8$-norm optimization using Second-Order Cone Programming (SOCP) to recover the correct scale. Further, the correctly scaled displacement of the hand-eye transformation is recovered solely from the image correspondences and robot measurements, and is guaranteed to be globally optimal with respect to the $L_8$-norm. The method is experimentally validated using both synthetic and real world datasets.