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» On empty convex polygons in a planar point set
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CAGD
2008
124views more  CAGD 2008»
14 years 11 months ago
All triangulations are reachable via sequences of edge-flips: an elementary proof
A simple proof is provided for the fact that the set of all possible triangulations of a planar point set in a polygonal domain is closed under the basic diagonal flip operation.
Eliyahu Osherovich, Alfred M. Bruckstein
CORR
2011
Springer
157views Education» more  CORR 2011»
14 years 3 months ago
Convex Hull of Imprecise Points in o(n \log{n}) Time after Preprocessing
Motivated by the desire to cope with data imprecision [8], we study methods for preprocessing a set of planar regions such that whenever we are given a set of points, each of whic...
Esther Ezra, Wolfgang Mulzer
IWVF
2001
Springer
15 years 4 months ago
Minimum-Length Polygons in Approximation Sausages
The paper introduces a new approximation scheme for planar digital curves. This scheme defines an approximating sausage ‘around’ the given digital curve, and calculates a mini...
Tetsuo Asano, Yasuyuki Kawamura, Reinhard Klette, ...
CAGD
2008
119views more  CAGD 2008»
14 years 10 months ago
A local fitting algorithm for converting planar curves to B-splines
In this paper we present a local fitting algorithm for converting smooth planar curves to Bsplines. For a smooth planar curve a set of points together with their tangent vectors a...
Chongyang Deng, Xunnian Yang
DCG
2007
102views more  DCG 2007»
14 years 11 months ago
How to Exhibit Toroidal Maps in Space
Steinitz’s Theorem states that a graph is the 1-skeleton of a convex polyhedron if and only if it is 3-connected and planar. The polyhedron is called a geometric realization of ...
Dan Archdeacon, C. Paul Bonnington, Joanna A. Elli...