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» Crossing edges and faces of line arrangements in the plane
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CCCG
2006
15 years 7 months ago
Spanning trees across axis-parallel segments
Abstract. Given a set P of points and a set S of pairwise disjoint axis-parallel line segments in the plane, we construct a straight line spanning tree T on P such that every segme...
Csaba D. Tóth, Michael Hoffmann
ICPR
2004
IEEE
16 years 7 months ago
Grey Scale Image Skeletonisation from Noise-Damped Vector Potential
This paper describes a method for curvature dependant Skeletonisation in grey-scale images. We commence from a magnetostatic analogy, where the tangential edge flow (the cross pro...
Edwin R. Hancock, Huaijun Qiu
COCOA
2010
Springer
15 years 4 months ago
Listing Triconnected Rooted Plane Graphs
A plane graph is a drawing of a planar graph in the plane such that no two edges cross each other. A rooted plane graph has a designated outer vertex. For given positive integers ...
Bingbing Zhuang, Hiroshi Nagamochi
ISAAC
2004
Springer
98views Algorithms» more  ISAAC 2004»
15 years 11 months ago
Inner Rectangular Drawings of Plane Graphs
A drawing of a plane graph is called an inner rectangular drawing if every edge is drawn as a horizontal or vertical line segment so that every inner face is a rectangle. An inner ...
Kazuyuki Miura, Hiroki Haga, Takao Nishizeki
COMPGEOM
2003
ACM
15 years 11 months ago
Controlled perturbation for arrangements of circles
Given a collection C of circles in the plane, we wish to construct the arrangement A(C) (namely the subdivision of the plane into vertices, edges and faces induced by C) using fl...
Dan Halperin, Eran Leiserowitz