Geodesic
A multisheet plane figure and its medial axis
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2011), pp. 42-53

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A multisheet plane figure is a projection onto the plane of a surface whose every point has a neighborhood which can be projected onto the plane univocally. A multisheet plane figure can be considered as a generalization of the concept of a common plane figure for the case when the boundary may contain self-intersecting curves and pairwise intersecting curves. The medial axis of a common plane figure is a set of points equidistant from the boundary. The concept of the medial axis of a multisheet plane figure is defined and researched into in the paper. Medial axis can be utilized in numerous computer science applications.
Keywords: multisheet plane figure, plane figure, medial axis, patched surface. 
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     author = {I. S. Mekhedov},
     title = {A multisheet plane figure and its medial axis},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {42--53},
     publisher = {mathdoc},
     number = {12},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2011_12_a4/}
}
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I. S. Mekhedov. A multisheet plane figure and its medial axis. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2011), pp. 42-53. http://geodesic.mathdoc.fr/item/IVM_2011_12_a4/