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...
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...
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 ...
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...
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...