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COMPGEOM
2011
ACM
12 years 9 months ago
Three problems about dynamic convex hulls
We present three results related to dynamic convex hulls: • A fully dynamic data structure for maintaining a set of n points in the plane so that we can find the edges of the c...
Timothy M. Chan
CAD
2005
Springer
13 years 5 months ago
Optimizing the topological and combinatorial complexity of isosurfaces
Since the publication of the original Marching Cubes algorithm, numerous variations have been proposed for guaranteeing water-tight constructions of triangulated approximations of...
Carlos Andújar, Pere Brunet, Antoni Chica, ...
SGP
2007
13 years 8 months ago
Shape reconstruction from unorganized cross-sections
In this paper, we consider the problem of reconstructing a shape from unorganized cross-sections. The main motivation for this problem comes from medical imaging applications wher...
Jean-Daniel Boissonnat, Pooran Memari
APPML
2007
101views more  APPML 2007»
13 years 5 months ago
Extension of a theorem of Whitney
It is shown that every planar graph with no separating triangles is a subgraph of a Hamiltonian planar graph; that is, Whitney’s theorem holds without the assumption of a triang...
Paul C. Kainen, Shannon Overbay
EJC
2010
13 years 5 months ago
On the infinitesimal rigidity of weakly convex polyhedra
The main motivation here is a question: whether any polyhedron which can be subdivided into convex pieces without adding a vertex, and which has the same vertices as a convex poly...
Robert Connelly, Jean-Marc Schlenker