The Hausdorff Voronoi Diagram Revisited
E Papadopoulou, J Xu - International Journal of Computational …, 2015 - World Scientific
We revisit the L∞ Hausdorff Voronoi diagram of clusters of points in the plane and present a
simple two-pass plane sweep algorithm to construct it. This problem is motivated by …
simple two-pass plane sweep algorithm to construct it. This problem is motivated by …
The Hausdorff Voronoi diagram of point clusters in the plane
E Papadopoulou - Algorithmica, 2004 - Springer
Abstract We study the Hausdorff Voronoi diagram of point clusters in the plane, a
generalization ofVoronoi diagrams based on the Hausdorff distance function. We derive a …
generalization ofVoronoi diagrams based on the Hausdorff distance function. We derive a …
Randomized incremental construction of the Hausdorff Voronoi diagram of non-crossing clusters
P Cheilaris, E Khramtcova, E Papadopoulou - arXiv preprint arXiv …, 2013 - arxiv.org
In the Hausdorff Voronoi diagram of a set of clusters of points in the plane, the distance
between a point t and a cluster P is the maximum Euclidean distance between t and a point …
between a point t and a cluster P is the maximum Euclidean distance between t and a point …
A randomized incremental algorithm for the Hausdorff Voronoi diagram of non-crossing clusters
P Cheilaris, E Khramtcova, S Langerman… - Algorithmica, 2016 - Springer
Abstract In the Hausdorff Voronoi diagram of a family of clusters of points in the plane, the
distance between a point t and a cluster P is measured as the maximum distance between t …
distance between a point t and a cluster P is measured as the maximum distance between t …
On the Hausdorff Voronoi diagram of point clusters in the plane
E Papadopoulou - Workshop on Algorithms and Data Structures, 2003 - Springer
Abstract We study the Hausdorff Voronoi diagram of point clusters in the plane and derive a
tight combinatorial bound on its structural complexity. We present a plane sweep algorithm …
tight combinatorial bound on its structural complexity. We present a plane sweep algorithm …
A randomized incremental approach for the Hausdorff Voronoi diagram of non-crossing clusters
P Cheilaris, E Khramtcova, S Langerman… - Latin American …, 2014 - Springer
Abstract In the Hausdorff Voronoi diagram of a set of point-clusters in the plane, the distance
between a point t and a cluster P is measured as the maximum distance between t and any …
between a point t and a cluster P is measured as the maximum distance between t and any …
The Hausdorff Voronoi Diagram Revisited
E Papadopoulou, J Xu - … on Voronoi Diagrams in Science and …, 2011 - ieeexplore.ieee.org
We revisit the L∞ Hausdorff Voronoi diagram of clusters of points, equivalently, the L∞
Hausdorff Voronoi diagram of rectangles, and present a plane sweep algorithm for its …
Hausdorff Voronoi diagram of rectangles, and present a plane sweep algorithm for its …
The Hausdorff Voronoi diagram of polygonal objects: A divide and conquer approach
E Papadopoulou, DT Lee - International Journal of Computational …, 2004 - World Scientific
We study the Hausdorff Voronoi diagram of a set S of polygonal objects in the plane, a
generalization of Voronoi diagrams based on the maximum distance of a point from a …
generalization of Voronoi diagrams based on the maximum distance of a point from a …
Randomized incremental construction for the Hausdorff Voronoi diagram revisited and extended
E Arseneva, E Papadopoulou - Journal of Combinatorial Optimization, 2019 - Springer
Abstract The Hausdorff Voronoi diagram of clusters of points in the plane is a generalization
of Voronoi diagrams based on the Hausdorff distance function. Its combinatorial complexity …
of Voronoi diagrams based on the Hausdorff distance function. Its combinatorial complexity …
Randomized incremental construction for the Hausdorff Voronoi diagram revisited and extended
E Khramtcova, E Papadopoulou - International Computing and …, 2017 - Springer
Abstract The Hausdorff Voronoi diagram of clusters of points in the plane is a generalization
of Voronoi diagrams based on the Hausdorff distance function. Its combinatorial complexity …
of Voronoi diagrams based on the Hausdorff distance function. Its combinatorial complexity …