Intrinsic sample mean in the space of planar shapes

作者：

Highlights：

• We propose an algorithm to obtain the intrinsic mean of sample data (planar shapes).

• Shape space is identified with a Grassmann manifold of infinite dimension.

• The Fréchet mean for manifolds and the gradient descent algorithm are used.

• A simulation study is carried out to check the performance of the methodology.

摘要

Highlights•We propose an algorithm to obtain the intrinsic mean of sample data (planar shapes).•Shape space is identified with a Grassmann manifold of infinite dimension.•The Fréchet mean for manifolds and the gradient descent algorithm are used.•A simulation study is carried out to check the performance of the methodology.

论文关键词：Intrinsic sample mean,Parameterized closed curve,Shape space,Gradient descent algorithm

论文评审过程：Received 18 September 2015, Revised 29 April 2016, Accepted 30 April 2016, Available online 22 May 2016, Version of Record 2 June 2016.

论文官网地址：https://doi.org/10.1016/j.patcog.2016.04.025