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» On empty convex polygons in a planar point set
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CAGD
2008
124views more  CAGD 2008»
15 years 6 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 9 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 10 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»
15 years 4 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»
15 years 6 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...