Recursive voids for identifying a nonconvex boundary of a set of points in the plane

作者:

Highlights:

• We introduce a method that identifies a nonconvex boundary of points in the plane.

• The nonconvex boundary is explored through finding empty regions recursively.

• Our algorithm is output sensitive and runs in linear time.

• We use a tree structure and a phylogenic measure to determine shape complexity.

• We present results on data size, shape length, shape complexity and noise.

摘要

Highlights•We introduce a method that identifies a nonconvex boundary of points in the plane.•The nonconvex boundary is explored through finding empty regions recursively.•Our algorithm is output sensitive and runs in linear time.•We use a tree structure and a phylogenic measure to determine shape complexity.•We present results on data size, shape length, shape complexity and noise.

论文关键词:Nonconvex boundary,Linear time complexity,Output sensitivity,Computational geometry,Lowest common ancestor

论文评审过程:Received 10 January 2013, Revised 12 March 2013, Accepted 9 May 2013, Available online 23 May 2013.

论文官网地址:https://doi.org/10.1016/j.patcog.2013.05.013