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COMPGEOM
1995
ACM
15 years 19 days 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
15 years 19 days 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
15 years 20 days 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
15 years 20 days ago
A New Structure of Cylinder Packing
Yoshinori Teshima, Yoshinori Watanabe, Tohru Ogawa
JCDCG
2000
Springer
15 years 20 days 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
15 years 20 days 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
15 years 20 days 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