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97
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DCG
1998
80views more  DCG 1998»
15 years 4 days ago
Fitting a Set of Points by a Circle
Given a set of points S = fp1; : : : ; png in Euclidean d-dimensional space, we address the problem of computing the d-dimensional annulus of smallest width containing the set. We...
Jesus Garcia-Lopez, Pedro A. Ramos, Jack Snoeyink
111
Voted
SIAMDM
2010
123views more  SIAMDM 2010»
14 years 11 months ago
Large Bichromatic Point Sets Admit Empty Monochromatic 4-Gons
We consider a variation of a problem stated by Erd˝os and Szekeres in 1935 about the existence of a number fES (k) such that any set S of at least fES (k) points in general posit...
Oswin Aichholzer, Thomas Hackl, Clemens Huemer, Fe...
GD
1998
Springer
15 years 4 months ago
Balanced Aspect Ratio Trees and Their Use for Drawing Very Large Graphs
We describe a new approach for cluster-based drawing of very large graphs, which obtains clusters by using binary space partition (BSP) trees. We also introduce a novel BSP-type de...
Christian A. Duncan, Michael T. Goodrich, Stephen ...
104
Voted
COMGEO
1998
ACM
15 years 5 days ago
The union of moving polygonal pseudodiscs - Combinatorial bounds and applications
Let P be a set of polygonal pseudodiscs in the plane with n edges in total translating with xed velocities in xed directions. We prove that the maximumnumber of combinatorial chan...
Mark de Berg, Hazel Everett, Leonidas J. Guibas
124
Voted
COMGEO
2012
ACM
13 years 8 months ago
Point-set embeddings of plane 3-trees
A straight-line drawing of a plane graph G is a planar drawing of G, where each vertex is drawn as a point and each edge is drawn as a straight line segment. Given a set S of n poi...
Rahnuma Islam Nishat, Debajyoti Mondal, Md. Saidur...