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IPL
2006
116views more  IPL 2006»
13 years 4 months ago
Guarding galleries and terrains
Let P be a polygon with n vertices. We say that two points of P see each other if the line segment connecting them lies inside (the closure of) P. In this paper we present efficie...
Alon Efrat, Sariel Har-Peled
IJRR
2008
107views more  IJRR 2008»
13 years 4 months ago
Caging Polygons with Two and Three Fingers
: We present algorithms for computing all placements of two and three fingers that cage a given polygonal object with n edges in the plane. A polygon is caged when it is impossible...
Mostafa Vahedi, A. Frank van der Stappen
DCG
2006
101views more  DCG 2006»
13 years 4 months ago
Isodiametric Problems for Polygons
The maximal area of a polygon with n = 2m edges and unit diameter is not known when m 5, nor is the maximal perimeter of a convex polygon with n = 2m edges and unit diameter known...
Michael J. Mossinghoff
DM
2010
135views more  DM 2010»
13 years 4 months ago
On convexification of polygons by pops
Given a polygon P in the plane, a pop operation is the reflection of a vertex with respect to the line through its adjacent vertices. We define a family of alternating polygons, a...
Adrian Dumitrescu, Evan Hilscher
CAGD
2010
101views more  CAGD 2010»
13 years 4 months ago
A kinematic approach to Kokotsakis meshes
A Kokotsakis mesh is a polyhedral structure consisting of an n-sided central polygon P0 surrounded by a belt of polygons in the following way: Each side ai of P0 is shared by an a...
Hellmuth Stachel
ADCM
2010
85views more  ADCM 2010»
13 years 5 months ago
On the injectivity of Wachspress and mean value mappings between convex polygons
Wachspress and mean value coordinates are two generalizations of triangular barycentric coordinates to convex polygons and have recently been used to construct mappings between po...
Michael S. Floater, Jirí Kosinka
CCCG
2009
13 years 6 months ago
Inapproximability of the Perimeter Defense Problem
We model the problem of detecting intruders using a set of infrared beams by the perimeter defense problem: given a polygon P, find a minimum set of edges S of the polygon such th...
Evangelos Kranakis, Danny Krizanc, Lata Narayanan,...
BMVC
1998
13 years 6 months ago
Building Shape Models from Image Sequences using Piecewise Linear Approximation
A method of extracting, classifying and modelling non-rigid shapes from an image sequence is presented. Shapes are approximated by polygons where the number of sides is related to...
Derek R. Magee, Roger D. Boyle
WSCG
2004
156views more  WSCG 2004»
13 years 6 months ago
Efficient Collision Detection between 2D Polygons
Collision detection between moving objects is an open question which raises major problems concerning its algorithmic complexity. In this paper we present a polygon collision dete...
Juan José Jiménez, Rafael Jesú...
CCCG
2003
13 years 6 months ago
Decomposing Polygons Into Diameter Bounded Components
A decomposition of a polygon P is a set of polygons whose geometric union is exactly P. We consider the problem of decomposing a polygon, which may contain holes, using subpolygon...
Chris Worman