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» Axiomatizing geometric constructions
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CAGD
2007
86views more  CAGD 2007»
13 years 8 months ago
A general geometric construction of coordinates in a convex simplicial polytope
Barycentric coordinates are a fundamental concept in computer graphics and geometric modeling. We extend the geometric construction of Floater’s mean value coordinates [8,11] to...
Tao Ju, Peter Liepa, Joe D. Warren
ADG
2000
Springer
110views Mathematics» more  ADG 2000»
14 years 28 days ago
Decision Complexity in Dynamic Geometry
Abstract. Geometric straight-line programs [5, 8] can be used to model geometric constructions and their implicit ambiguities. In this paper we discuss the complexity of deciding w...
Ulrich Kortenkamp, Jürgen Richter-Gebert
ICDCS
2008
IEEE
14 years 3 months ago
Distributed Connected Dominating Set Construction in Geometric k-Disk Graphs
In this paper, we study the problem of minimum connected dominating set in geometric k-disk graphs. This research is motivated by the problem of virtual backbone construction in w...
Kai Xing, Wei Cheng, E. K. Park, Shmuel Rotenstrei...
SIAMCOMP
2002
113views more  SIAMCOMP 2002»
13 years 8 months ago
Fast Greedy Algorithms for Constructing Sparse Geometric Spanners
Given a set V of n points in Rd and a real constant t > 1, we present the first O(n log n)-time algorithm to compute a geometric t-spanner on V . A geometric t-spanner on V is a...
Joachim Gudmundsson, Christos Levcopoulos, Giri Na...
IIE
2007
116views more  IIE 2007»
13 years 8 months ago
Turtle's Navigation and Manipulation of Geometrical Figures Constructed by Variable Processes in a 3d Simulated Space
Abstract. Issues related to 3d turtle’s navigation and geometrical figures’ manipulation in the simulated 3d space of a newly developed computational environment, MaLT, are re...
Chronis Kynigos, Maria Latsi