Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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AN ALGORITHM FOR ESTIMATION OF ROTATION MATRIX PARAMETER

  • Shin, Dong-Soo (Department of Mathematics Education, Mokwon University)
  • Published : 2003.05.01

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Abstract

There are two rotation matrix parameters in a model, pro-posed by Prentice in 1989, for pairs of rotations in 3 dimensional space. For the least squares estimates of the two parameters, an algorithm was also presented, but it turned out that the algorithm could fail to get the least squares estimates. This article provides another algorithm for the least squares estimates and its performance is demonstrated by simulation results.

Keywords

References

  1. The Annals of Statistics v.14 no.3 Spherical Regression T. Chang
  2. J. R. Statist. Soc. B v.51 no.2 Spherical Regression on Matched Pairs of Orientation Statistics M.J. Prentice
  3. Ph.D. Thesis Experimental Designs for Orientation Models H.S. Shin
  4. Statistics and Probability Letters Uniqueness, Consistency and Optimality in Spherical Regression Experiments H.S. Shin;G. Takahara;D.J. Murdoch