3D circular shapes and curve skeletons

Autor:	D. V. Khromov
Rok vydání:	2012
Předmět:	Set (abstract data type) Straight skeleton Planar Medial axis Generalization General Mathematics Boundary (topology) Geometry Topological skeleton Skeleton (category theory) Mathematics
Zdroj:	Russian Mathematics. 56:75-83
ISSN:	1934-810X 1066-369X
DOI:	10.3103/s1066369x1204010x
Popis:	The medial axis of a planar shape is the set of points having at least two closest points on the shape boundary. This notion is widely used in computer science. In this paper we propose a mathematical model enabling us to define the notion of a curve skeleton as a 3D generalization of the 2D medial axis. We propose a criterion for comparing various particular methods for the construction of curve skeletons.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::4caf2535abb6be43da90f77754b2befd https://doi.org/10.3103/s1066369x1204010x Zobrazit plný text záznamu Full text from SpringerLink