Corpus ID: 29058232

Computation of Voronoi Diagrams of Circular Arcs and Straight Lines

@inproceedings{Huber2008ComputationOV,
  title={Computation of Voronoi Diagrams of Circular Arcs and Straight Lines},
  author={Stefan Huber},
  year={2008}
}
Vroni is one of few existing implementations for the stable computation of Voronoi diagrams of line segments. A topology-oriented approach in combination with double-precision floating-point arithmetic makes Vroni also the fastest and most reliable implementation available. Up to now, Voronoi diagram algorithms used in industrial applications process input data consisting of points and straightline segments. Since circular arcs are important in various applications like CAD/CAM, printed circuit… Expand

References

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TLDR
Vroni is a topology-oriented algorithm for the computation of Voronoi diagrams of points and line segments in the two-dimensional Euclidean space that is completely reliable and fast in practice and has been successfully tested within and integrated into several industrial software packages. Expand
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TLDR
This work presents an algorithm for approximating multiple closed polygons in a tangent-continuous manner with circular biarcs and shows that this algorithm generates approximation curves with significantly fewer approximation primitives than previously proposed algorithms. Expand
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TLDR
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TLDR
A dynamic algorithm for the construction of the Euclidean Voronoi diagram of a set of convex objects in the plane using a randomized dynamic algorithm that can easily be adapted to the case of pseudo-circles sets formed by piecewise smooth convex Objects. Expand
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TLDR
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TLDR
This paper shows how a given set of curves can be refined such that the resulting curves define a “well-behaved” Voronoi diagram, and gives a randomized incremental algorithm to compute this diagram. Expand
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Computational geometry is concerned with the design and analysis of algorithms for geometrical problems. In addition, other more practically oriented, areas of computer science— such as computerExpand
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TLDR
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TLDR
This work shows how to construct abstract Voronoi diagrams in time O(n log n) by a randomized algorithm; the algorithm is based on Clarkson and Shor's randomized incremental construction technique. Expand
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In this paper we present an efficient algorithm for the computation of the segment Voronoi diagram in two dimensions. Our algorithm can handle not only disjoint segments or segments that shareExpand
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