A multisheet plane figure and its medial axis

Autor:	I. S. Mekhedov
Rok vydání:	2011
Předmět:	Surface (mathematics) Transverse plane Projection (mathematics) Medial axis Plane (geometry) Plane curve General Mathematics Plane symmetry Equidistant Geometry Mathematics
Zdroj:	Russian Mathematics. 55:34-43
ISSN:	1934-810X 1066-369X
DOI:	10.3103/s1066369x1112005x
Popis:	A multisheet plane figure is a projection onto the Euclidean plane of a surface whose every point has a neighborhood biuniquely projectable onto the plane. The notion of a multisheet plane figure is a generalization of the usual notion of a plane figure for the case when the boundary contains self-intersecting curves and pairwise intersecting ones. The medial axis of a usual plane figure is the set of points equidistant from the boundary. In this paper we introduce the notion of the medial axis of a multisheet plane figure and study its properties. Medial axes have numerous applications in engineering and computer science.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::0bb0cd80511edd46e67840ce9bdd89a0 https://doi.org/10.3103/s1066369x1112005x Zobrazit plný text záznamu Full text from SpringerLink