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COMPGEOM
1995
ACM
14 years 3 months ago
Triangulations Intersect Nicely
Abstract. We show that there is a matching between the edges of any two triangulations of a planar point set such that an edge of one triangulation is matched either to the identic...
Oswin Aichholzer, Franz Aurenhammer, Michael Tasch...
COMPGEOM
1995
ACM
14 years 3 months ago
A Comparison of Sequential Delaunay Triangulation Algorithms
This paper presents an experimental comparison of a number of different algorithms for computing the Deluanay triangulation. The algorithms examined are: Dwyer’s divide and conq...
Peter Su, Robert L. (Scot) Drysdale III
JCDCG
2000
Springer
14 years 3 months ago
Generalized Balanced Partitions of Two Sets of Points in the Plane
We consider the following problem. Let n 2, b 1 and q 2 be integers. Let R and B be two disjoint sets of n red points and bn blue points in the plane, respectively, such that no...
Atsushi Kaneko, Mikio Kano
JCDCG
2000
Springer
14 years 3 months ago
A New Structure of Cylinder Packing
Yoshinori Teshima, Yoshinori Watanabe, Tohru Ogawa
JCDCG
2000
Springer
14 years 3 months ago
Volume Queries in Polyhedra
We present a simple and practical data structure for storing a (not necessarily convex) polyhedron P which can, given a query surface S cutting the polyhedron, determine the volume...
John Iacono, Stefan Langerman
JCDCG
2000
Springer
14 years 3 months ago
Structure Theorems for Systems of Segments
We study intersection properties of systems of segments in the plane. In particular, we show that there exists a constant c > 0 such that every system S of n straight-line segme...
János Pach, József Solymosi
JCDCG
2000
Springer
14 years 3 months ago
Sequentially Divisible Dissections of Simple Polygons
A k-dissection D of a polygon P, is a partition of P into a set of subpolygons {Q1, . . . , Qm} with disjoint interiors such that these can be reassembled to form k polygons P1, ....
Jin Akiyama, Toshinori Sakai, Jorge Urrutia