Topological invariants can be used to quantify complexity in abstract paintings

作者：

Highlights：

• A method is proposed to quantify complexity in abstract art.

• Topological invariants, the Betti numbers, are used.

• The method is tested with the paintings of Jackson Pollock.

• Comparisons with other art pieces show the uniqueness of Pollock’s paintings.

摘要

•A method is proposed to quantify complexity in abstract art.•Topological invariants, the Betti numbers, are used.•The method is tested with the paintings of Jackson Pollock.•Comparisons with other art pieces show the uniqueness of Pollock’s paintings.

论文关键词：Complexity,Topological invariants,Abstract art,Art assessment

论文评审过程：Received 19 January 2017, Revised 7 March 2017, Accepted 30 March 2017, Available online 12 April 2017, Version of Record 2 May 2017.

论文官网地址：https://doi.org/10.1016/j.knosys.2017.03.030