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CCCG
2007
13 years 7 months ago
Restricted Edge Contractions in Triangulations of the Sphere with Boundary
Given a surface triangulation T of and a subset X of its vertex set V (T), we define a restricted edge contraction as a contraction of an edge connecting X and V (T)−X. Boundar...
Masaki Moriguchi, Kokichi Sugihara
CCCG
2007
13 years 7 months ago
Morphing Planar Graph Drawings
We give an algorithm to morph between two planar drawings of a graph, preserving planarity, but allowing edges to bend during the course of the morph. The morph uses a polynomial ...
Anna Lubiw
CCCG
2007
13 years 7 months ago
The Slider-Pinning Problem
A Laman mechanism is a flexible planar bar-and-joint framework with m ≤ 2n−3 edges and exactly k = 2n− m degrees of freedom. The slider-pinning problem is to eliminate all ...
Audrey Lee, Ileana Streinu, Louis Theran
CCCG
2007
13 years 7 months ago
Covering Points by Isothetic Unit Squares
Given a set P of n points in R2 , we consider two related problems. Firstly, we study the problem of computing two isothetic unit squares which may be either disjoint or intersect...
Priya Ranjan Sinha Mahapatra, Partha P. Goswami, S...
CCCG
2007
13 years 7 months ago
Spiralling and Folding: The Topological View
For every n, we construct two arcs in the four-punctured sphere that have at least n intersections and which do not form spirals. This is accomplished in several steps: we first ...
Marcus Schaefer, Eric Sedgwick, Daniel Stefankovic
CCCG
2007
13 years 7 months ago
Approximate Shortest Descent Path on a Terrain
A path from a point s to a point t on the surface of a polyhedral terrain is said to be descent if for every pair of points p = (x(p), y(p), z(p)) and q = (x(q), y(q), z(q)) on th...
Sasanka Roy, Sachin Lodha, Sandip Das, Anil Mahesh...
CCCG
2007
13 years 7 months ago
On the Fewest Nets Problem for Convex Polyhedra
Given a convex polyhedron with n vertices and F faces, what is the fewest number of pieces, each of which unfolds to a simple polygon, into which it may be cut by slices along edg...
Val Pinciu
CCCG
2007
13 years 7 months ago
A Disk-Covering Problem with Application in Optical Interferometry
Given a disk O in the plane called the objective, we want to find n small disks P1, . . . , Pn called the pupils such that n i,j=1 Pi Pj ⊇ O, where denotes the Minkowski diffe...
Trung Nguyen, Jean-Daniel Boissonnat, Fréd&...
CCCG
2007
13 years 7 months ago
Terminal Steiner Tree with Bounded Edge Length
In this paper, we study a Steiner tree related problem called “Terminal Steiner Tree with Bounded Edge Length”: given a set of terminal points P in a plane, one is asked to ...
Zhiyong Lin