Abstract
We provide a complete description of dynamic algorithms for constructing convex hulls and Voronoi diagrams of additively weighted points of \({\mathbb R}^{d}\). We present simple algorithms and provide a description of the predicates. The algorithms have been implemented in \({\mathbb R}^{3}\) and experimental results are reported. Our implementation follows the CGAL design and, in particular, is made both robust and efficient through the use of filtered exact arithmetic.
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References
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Boissonnat, JD., Delage, C. (2005). Convex Hull and Voronoi Diagram of Additively Weighted Points. In: Brodal, G.S., Leonardi, S. (eds) Algorithms – ESA 2005. ESA 2005. Lecture Notes in Computer Science, vol 3669. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11561071_34
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DOI: https://doi.org/10.1007/11561071_34
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-29118-3
Online ISBN: 978-3-540-31951-1
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