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COMPGEOM
1987
ACM
14 years 4 days ago
Polygon Properties Calculated from the Vertex Neighborhoods
Calculating properties of polyhedra given only the set of the locations and neighborhoods of the vertices is easy. Possible properties include volume, surface area, and point cont...
Wm. Randolph Franklin
SIAMAM
2002
75views more  SIAMAM 2002»
13 years 8 months ago
Exponential Asymptotics and Capillary Waves
Recently developed techniques in exponential asymptotics beyond all orders are employed on the problem of potential flows with a free surface and small surface tension, in the abse...
Jean-Marc Vanden-Broeck, S. Jonathan Chapman
FOCS
1997
IEEE
14 years 26 days ago
The Computational Complexity of Knot and Link Problems
We consider the problem of deciding whether a polygonal knot in 3dimensional Euclidean space is unknotted, capable of being continuously deformed without self-intersection so that...
Joel Hass, J. C. Lagarias, Nicholas Pippenger
PSIVT
2007
Springer
143views Multimedia» more  PSIVT 2007»
14 years 2 months ago
Approximate ESPs on Surfaces of Polytopes Using a Rubberband Algorithm
Let p and q be two points on the surface of a polytope Π. This paper provides a rubberband algorithm for computing a Euclidean shortest path between p and q (a so-called surface E...
Fajie Li, Reinhard Klette, Xue Fu
IMAMS
2007
157views Mathematics» more  IMAMS 2007»
13 years 10 months ago
Regularity Criteria for the Topology of Algebraic Curves and Surfaces
In this paper, we consider the problem of analysing the shape of an object defined by polynomial equations in a domain. We describe regularity criteria which allow us to determine...
Lionel Alberti, Bernard Mourrain