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COMGEO
2007
ACM
13 years 4 months ago
Geometric dilation of closed planar curves: New lower bounds
Given two points on a closed planar curve, C, we can divide the length of a shortest connecting path in C by their Euclidean distance. The supremum of these ratios, taken over all...
Annette Ebbers-Baumann, Ansgar Grüne, Rolf Kl...
COMGEO
2007
ACM
13 years 4 months ago
On simultaneous planar graph embeddings
We consider the problem of simultaneous embedding of planar graphs. There are two variants of this problem, one in which the mapping between the vertices of the two graphs is given...
Peter Braß, Eowyn Cenek, Christian A. Duncan...
COMGEO
2007
ACM
13 years 4 months ago
Delaunay triangulations approximate anchor hulls
Recent results establish that a subset of the Voronoi diagram of a point set that is sampled from the smooth boundary of a shape approximates the medial axis. The corresponding qu...
Tamal K. Dey, Joachim Giesen, Samrat Goswami
COMGEO
2007
ACM
13 years 4 months ago
On the geometric dilation of closed curves, graphs, and point sets
Adrian Dumitrescu, Annette Ebbers-Baumann, Ansgar ...
COMGEO
2007
ACM
13 years 4 months ago
An incremental algorithm for reconstruction of surfaces of arbitrary codimension
A new algorithm is presented for surface reconstruction from unorganized points. Unlike many previous algorithms, this algorithm does not select a subcomplex of the Delaunay Trian...
Daniel Freedman