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WADS
2007
Springer
165views Algorithms» more  WADS 2007»
14 years 1 months ago
A Near Linear Time Approximation Scheme for Steiner Tree Among Obstacles in the Plane
We present a polynomial-time approximation scheme (PTAS) for the Steiner tree problem with polygonal obstacles in the plane with running time O(n log2 n), where n denotes the numb...
Matthias Müller-Hannemann, Siamak Tazari
COMPGEOM
2006
ACM
14 years 1 months ago
Minimum weight triangulation is NP-hard
A triangulation of a planar point set S is a maximal plane straight-line graph with vertex set S. In the minimum weight triangulation (MWT) problem, we are looking for a triangula...
Wolfgang Mulzer, Günter Rote
CORR
2002
Springer
93views Education» more  CORR 2002»
13 years 7 months ago
On the Reflexivity of Point Sets
We introduce a new measure for planar point sets S that captures a combinatorial distance that S is from being a convex set: The reflexivity (S) of S is given by the smallest numb...
Esther M. Arkin, Sándor P. Fekete, Ferran H...
18
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DCG
2010
75views more  DCG 2010»
13 years 7 months ago
Star Unfolding Convex Polyhedra via Quasigeodesic Loops
We extend the notion of star unfolding to be based on a quasigeodesic loop Q rather than on a point. This gives a new general method to unfold the surface of any convex polyhedron ...
Jin-ichi Itoh, Joseph O'Rourke, Costin Vîlcu
ECCV
2002
Springer
14 years 9 months ago
New Techniques for Automated Architectural Reconstruction from Photographs
Abstract. We investigate a strategy for reconstructing of buildings from multiple (uncalibrated) images. In a similar manner to the Facade approach we first generate a coarse piece...
Tomás Werner, Andrew Zisserman