Measuring linearity of curves in 2D and 3D

作者：

Highlights：

• A new linearity measure is developed for open curve segments in 2D and 3D.

• The measure is based on the curve end points and the curve centroid.

• The measure is simple to compute.

• The measure ranges over the interval (0,1].

• The measure is invariant with respect to translations, rotations and scalings.

摘要

Highlights•A new linearity measure is developed for open curve segments in 2D and 3D.•The measure is based on the curve end points and the curve centroid.•The measure is simple to compute.•The measure ranges over the interval (0,1].•The measure is invariant with respect to translations, rotations and scalings.

论文关键词：Shape,Curves,Linearity measure,Image processing

论文评审过程：Received 10 January 2014, Revised 21 May 2015, Accepted 22 July 2015, Available online 1 August 2015, Version of Record 28 September 2015.

论文官网地址：https://doi.org/10.1016/j.patcog.2015.07.011