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CCCG
2006
14 years 26 days ago
Optimal Polygon Placement
Given a simple polygon P with m vertices and a set S of n points in the plane, we consider the problem of finding a rigid motion placement of P that contains the maximum number of...
Prosenjit Bose, Jason Morrison
CCCG
2006
14 years 26 days ago
Small Weak Epsilon-Nets in Three Dimensions
We study the problem of finding small weak -nets in three dimensions and provide new upper and lower bounds on the value of for which a weak -net of a given small constant size e...
Maryam Babazadeh, Hamid Zarrabi-Zadeh
CCCG
2006
14 years 26 days ago
Shortest Descending Paths through Given Faces
A path from s to t on a polyhedral terrain is descending if the height of a point p never increases while we move p along the path from s to t. No efficient algorithm is known to ...
Mustaq Ahmed, Anna Lubiw
CCCG
2006
14 years 26 days ago
Another Paradigm for Geometric Constraints Solving
Geometric constraints solving often relies on graphbased methods to decompose systems of geometric constraints. These methods have intrinsic and unavoidable limitations which are ...
Dominique Michelucci, Sebti Foufou, Loïc Lama...
CCCG
2006
14 years 26 days ago
Rotationally Monotone Polygons
We introduce a generalization of monotonicity. An n-vertex polygon P is rotationally monotone with respect to a point r if there exists a partitioning of the boundary of P into ex...
Prosenjit Bose, Pat Morin, Michiel H. M. Smid, Ste...
CCCG
2006
14 years 26 days ago
An Improved Approximation Factor For The Unit Disk Covering Problem
We present a polynomial time algorithm for the unit disk covering problem with an approximation factor 72, and show that this is the best possible approximation factor based on th...
Sada Narayanappa, Petr Vojtechovský
CCCG
2006
14 years 26 days ago
Hamiltonian Cycles in Triangular Grids
We study the Hamiltonian Cycle problem in graphs induced by subsets of the vertices of the tiling of the plane with equilateral triangles. By analogy with grid graphs we call such...
Valentin Polishchuk, Esther M. Arkin, Joseph S. B....
CCCG
2006
14 years 26 days ago
K-Nearest Neighbor Search using the Pyramid Technique
A k-nearest neighbor search algorithm for the Pyramid technique is presented. The Pyramid technique divides d-dimensional data space into 2d pyramids. Given a query point q, we in...
Bradford G. Nickerson, Qingxiu Shi
CCCG
2006
14 years 26 days ago
An O(n log n) Algorithm for the All-Farthest-Segments Problem for a Planar Set of Points
In this paper, we propose an algorithm for computing the farthest-segment Voronoi diagram for the edges of a convex polygon and apply this to obtain an O(n log n) algorithm for th...
Asish Mukhopadhyay, Robert L. Scot Drysdale
CCCG
2006
14 years 26 days ago
Local Overlaps In Special Unfoldings Of Convex Polyhedra
We define a notion of local overlaps in polyhedron unfoldings. We use this concept to construct convex polyhedra for which certain classes of edge unfoldings contain overlaps, the...
Brendan Lucier