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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
CCCG
2003
13 years 6 months ago
Linear Binary Space Partitions and the Hierarchy of Object Classes
We consider the problem of constructing binary space partitions for the set P of d-dimensional objects in d-dimensional space. There are several classes of objects defined for su...
Petr Tobola, Karel Nechvíle
CCCG
2003
13 years 6 months ago
Approximating the geometric minimum-diameter spanning tree
Michael J. Spriggs, J. Mark Keil, Sergei Bespamyat...
CCCG
2003
13 years 6 months ago
Triangle Guarding
Jocelyn Smith, William S. Evans
CCCG
2003
13 years 6 months ago
Estimation of the necessary number of points in Riemannian Voronoi
G. Leibon and D. Letscher showed that for general and sufficiently dense point set its Delaunay triangulation and Voronoi diagram in Riemannian manifold exist. They also proposed ...
Kensuke Onishi, Jin-ichi Itoh
CCCG
2003
13 years 6 months ago
Encoding Quadrilateral Meshes
An important problem in geometric compression is to find succinct representations (encoding schemes) for the conectivity of polygonal meshes. In this note, we show that the encod...
Asish Mukhopadhyay, Quanbin Jing
CCCG
2003
13 years 6 months ago
Computing the Closest Point to a Circle
In this paper we consider the problem of computing the closest point to the boundary of a circle among a set S of n points. We present two algorithms to solve this problem. One al...
Pinaki Mitra, Asish Mukhopadhyay, S. V. Rao
CCCG
2003
13 years 6 months ago
Computing Delaunay Triangulation with Imprecise Input Data
The key step in the construction of the Delaunay triangulation of a finite set of planar points is to establish correctly whether a given point of this set is inside or outside t...
Ali Asghar Khanban, Abbas Edalat
CCCG
2003
13 years 6 months ago
An algorithm for the MaxMin area triangulation of a convex polygon
Given a convex polygon in the plane, we are interested in triangulations of its interior, i.e. maximal sets of nonintersecting diagonals that subdivide the interior of the polygon...
J. Mark Keil, Tzvetalin S. Vassilev