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COMPGEOM
2011
ACM
14 years 3 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
14 years 11 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
15 years 2 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»
14 years 11 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
14 years 11 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