Uncertainty characterization of the orthogonal Procrustes problem with arbitrary covariance matrices
作者：
Highlights：
• The uncertainty present in the n-dimensional Procrustes problem is characterized.
• Perturbation theory allows the determination of the covariance of the solution.
• The method is demonstrated for several dimensionalities on synthetic data.
• The effects of the number of points, baseline, and covariance shapes are detailed.
摘要
Highlights•The uncertainty present in the n-dimensional Procrustes problem is characterized.•Perturbation theory allows the determination of the covariance of the solution.•The method is demonstrated for several dimensionalities on synthetic data.•The effects of the number of points, baseline, and covariance shapes are detailed.
论文关键词：Weighted Procrustes statistics,Perturbation theory,Uncertainty characterization,Map transformation
论文评审过程：Received 18 February 2016, Revised 12 May 2016, Accepted 25 July 2016, Available online 28 July 2016, Version of Record 8 August 2016.
论文官网地址：https://doi.org/10.1016/j.patcog.2016.07.037
