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CCCG
2008
14 years 10 months ago
Computational Balloon Twisting: The Theory of Balloon Polyhedra
This paper builds a general mathematical and algorithmic theory for balloon-twisting structures, from balloon animals to balloon polyhedra, by modeling their underlying graphs (ed...
Erik D. Demaine, Martin L. Demaine, Vi Hart
CCCG
2008
14 years 10 months ago
Data Structures for Restricted Triangular Range Searching
We present data structures for triangular emptiness and reporting queries for a planar point set, where the query triangle contains the origin. The data structures use near-linear...
Mashhood Ishaque, Diane L. Souvaine, Nadia Benbern...
CCCG
2008
14 years 10 months ago
A generalization of Apollonian packing of circles
Gerhard Guettler, Colin L. Mallows
CCCG
2008
14 years 10 months ago
The Embroidery Problem
We consider the problem of embroidering a design pattern, given by a graph G, using a single minimum length thread. We give an exact polynomial-time algorithm for the case that G ...
Esther M. Arkin, George Hart, Joondong Kim, Irina ...
CCCG
2008
14 years 10 months ago
The Steiner Ratio for Obstacle-Avoiding Rectilinear Steiner Trees
We consider the problem of finding a shortest rectilinear Steiner tree for a given set of points in the plane in the presence of rectilinear obstacles that must be avoided. We ext...
Mina Razaghpour, Anna Lubiw
CCCG
2008
14 years 10 months ago
Polar Diagram of Moving Objects
Many important problems in Computational Geometry needs to perform some kind of angle processing. The Polar Diagram [4] is a locus approach for problems processing angles. Using t...
Mojtaba Nouri Bygi, Mohammad Ghodsi