Patent · US Active

Absolute rotation estimation including outlier detection via low-rank and sparse matrix decomposition

US9846974B2 · kind B2 · utility

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27Claims
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Key dates

Filing dateDec 5, 2014
Grant dateDec 19, 2017
Priority date
Expiry dateFeb 6, 2036

Classification

  • Technology area (CPC G)Physics
  • CPC primaryG06T2219/2016
  • WIPO fieldComputer technology
  • WIPO sectorElectrical engineering

Abstract

The present disclosure is directed to systems and methods to perform absolute rotation estimation including outlier detection via low-rank and sparse matrix decomposition. One example method includes obtaining a relative rotation estimates matrix that includes a plurality of relative rotation estimates. The method includes determining values for a low-rank matrix that result in a desirable value of a cost function that is based on a low-rank and sparse matrix decomposition of the relative rotation estimates matrix. The cost function includes the low-rank matrix and a sparse matrix that is nonzero in correspondence of one or more outliers of the plurality of relative rotation estimates. The method includes determining an absolute rotations matrix that includes a plurality of absolute rotations based at least in part on the values of the low-rank matrix that result in the desirable value of the cost function.

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