Morphological operations in recursive neighbourhoods

摘要

This paper discusses the use of recursive neighbourhoods in mathematical morphology. Its two notable applications are the recursive erosion/dilation, as well as the detection of foreground-background changes to be used in skeleton-ization. The benefit of the latter over the use of sub-cycles or an extension of the neighbourhood is emphasized. Two applications are presented that use the recursive neighbourhood in a 3D surface and a 3D curve anchor-skeleton variant.