Maximal nucleus clusters in Pawlak paintings. Nerves as approximating tools in visual arts

This paper is an application of Edelsbrunner-Harer (EH) nerves as approximating tools in discovering interesting perceptual clusters in Pawlak's painting of landscapes, thus giving us an insight into the style of the artist. A variation of EH nerves (collections of Voronoï regions called nucleus clusters) are used in this paper. The Rényi entropy is used to measure the information level of Voronoï regions. It is shown that the information levels (i.e., Rényi entropy) of maximal nucleus clusters in tesselled paintings are the highest compared with surrounding regions, thereby highlighting regions in the paintings with the greatest detail by the artist.