Results 211 to 220 of about 223,659 (257)
A Brief Review on Biomimetics 3D Printing Design. [PDF]
Couto R +5 more
europepmc +1 more source
Approximating Voronoi Diagrams with Voronoi Diagrams
The tremendous usefulness of Voronoi diagrams is tempered by their worst-case O(n⌈d/2⌉) size blowup. This makes them an obvious target for approximation, and indeed, several methods have been proposed that produce linear size approximations to the Voronoi diagram supporting logarithmic-time approximate nearest neighbor queries.
Miller, Gary L. +2 more
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In the thesis we first describe the definition of a Voronoi diagram and several properties of Voronoi diagrams in the plane. We also define triangulations of the plane and the concept of a Delaunay triangulation, and present the connection between Voronoi diagrams and Delaunay triangulations.
Kristan, Matej
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Abstract Voronoi diagrams revisited [PDF]
Abstract Voronoi diagrams [R. Klein, Concrete and Abstract Voronoi Diagrams, Lecture Notes in Computer Science, vol. 400, Springer-Verlag, 1987] were designed as a unifying concept that should include as many concrete types of diagrams as possible.
Elmar Langetepe, Rolf Klein
exaly +2 more sources
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International Journal of Computational Geometry & Applications, 1999
On a tilted plane T in three-space, skew distances are defined as the Euclidean distance plus a multiple of the signed difference in height. Skew distances may model realistic environments more closely than the Euclidean distance. Voronoi diagrams and related problems under this kind of distances are investigated.
Oswin Aichholzer +4 more
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On a tilted plane T in three-space, skew distances are defined as the Euclidean distance plus a multiple of the signed difference in height. Skew distances may model realistic environments more closely than the Euclidean distance. Voronoi diagrams and related problems under this kind of distances are investigated.
Oswin Aichholzer +4 more
openaire +3 more sources
IEEE Transactions on Information Theory, 1983
A new dynamizing technique is introduced whereby n point Voronoi diagrams (both closest and farthest point) can be updated in O(n) time per insertion or deletion, in the worst case. General properties of these dynamic Voronoi diagrams are explored including a storage/ deletion-time trade-off.
I. G. Gowda +3 more
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A new dynamizing technique is introduced whereby n point Voronoi diagrams (both closest and farthest point) can be updated in O(n) time per insertion or deletion, in the worst case. General properties of these dynamic Voronoi diagrams are explored including a storage/ deletion-time trade-off.
I. G. Gowda +3 more
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Environment and Planning B: Planning and Design, 2003
This paper introduces procedures involving the recursive construction of Voronoi diagrams and Delaunay tessellations. In such constructions, Voronoi and Delaunay concepts are used to tessellate an object space with respect to a given set of generators and then the construction is repeated every time with a new generator set, which comprises members ...
Boots, B, Shiode, N
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This paper introduces procedures involving the recursive construction of Voronoi diagrams and Delaunay tessellations. In such constructions, Voronoi and Delaunay concepts are used to tessellate an object space with respect to a given set of generators and then the construction is repeated every time with a new generator set, which comprises members ...
Boots, B, Shiode, N
openaire +3 more sources
2011 Eighth International Symposium on Voronoi Diagrams in Science and Engineering, 2011
The sweep line technique has been recently adapted to the sphere in order to build Voronoi diagrams of points on its surface. The resulting algorithm has proved to be simple and efficient, outperforming the freely available alternatives, which compute convex hulls of point sets in 3D.
João Dinis, Margarida Mamede
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The sweep line technique has been recently adapted to the sphere in order to build Voronoi diagrams of points on its surface. The resulting algorithm has proved to be simple and efficient, outperforming the freely available alternatives, which compute convex hulls of point sets in 3D.
João Dinis, Margarida Mamede
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On the Peeper's Voronoi diagram
ACM SIGACT News, 1991In the peeper's Voronoi diagram for n sites, any point in the plane belongs to the region of the closest site visible from it. Visibility is constrained to a segment on a line avoiding the convex hull of the sites. We show that the peeper's Voronoi diagram attains a size of Θ( n 2
Franz Aurenhammer, Gerd Stöckl
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