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Rigid Motion Estimation Using Line Observations

In: Geometric Algebra Applications Vol. II

Author

Listed:
  • Eduardo Bayro-Corrochano

    (CINVESTAV, Electrical Engineering and Computer Science Department)

Abstract

This chapter is dedicated to the estimation of 3D Euclidean transformation using motor algebra. Two illustrations of estimation procedures are given: the first uses a batch approach for the estimation of the unknown 3D transformation between the coordinate reference systems of a robot neck, or arm, and of a digital camera. This problem is called the hand–eye problem and it is solved using a motion-of-lines model.

Suggested Citation

  • Eduardo Bayro-Corrochano, 2020. "Rigid Motion Estimation Using Line Observations," Springer Books, in: Geometric Algebra Applications Vol. II, chapter 0, pages 431-462, Springer.
  • Handle: RePEc:spr:sprchp:978-3-030-34978-3_15
    DOI: 10.1007/978-3-030-34978-3_15
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