Object digitization up to a translation

作者：

Highlights：

• We provide a map of the set of all the Gauss digitizations of a 2D object under the action of the translation group.

• Some properties of this representation are studied.

• We give an algorithm to compute the digitizations from the graphical representation.

摘要

•We provide a map of the set of all the Gauss digitizations of a 2D object under the action of the translation group.•Some properties of this representation are studied.•We give an algorithm to compute the digitizations from the graphical representation.

论文关键词：Digitization,Plane curve,Translation,Dual representation

论文评审过程：Received 12 September 2016, Revised 5 July 2017, Accepted 21 August 2017, Available online 1 September 2017, Version of Record 30 April 2018.

论文官网地址：https://doi.org/10.1016/j.jcss.2017.08.001