2010 International Symposium on Voronoi Diagrams in Science and Engineering 2010
DOI: 10.1109/isvd.2010.16
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Fast Dynamic Voronoi Treemaps

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Cited by 29 publications
(26 citation statements)
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“…It has a time complexity of O(n 2 ) for each iteration which is the same as Balzer's algorithm but worse than Lloyd's CVT algorithm (O(nlog(n))). Some acceleration techniques such as Sud et al [33] and Gotz et al [14] are available but it still remains a challenging task to layout Voronoi treemaps for large datasets in real time. To have the benefits of both real time interaction and high-quality layouts, DICON supports both rectangular treemap icons as well as the optimized Voronoi icons.…”
Section: Discussionmentioning
confidence: 99%
“…It has a time complexity of O(n 2 ) for each iteration which is the same as Balzer's algorithm but worse than Lloyd's CVT algorithm (O(nlog(n))). Some acceleration techniques such as Sud et al [33] and Gotz et al [14] are available but it still remains a challenging task to layout Voronoi treemaps for large datasets in real time. To have the benefits of both real time interaction and high-quality layouts, DICON supports both rectangular treemap icons as well as the optimized Voronoi icons.…”
Section: Discussionmentioning
confidence: 99%
“…Sud et al [SFL10] present an improved implementation of the sampling approach using graphics hardware and General Purpose GPU techniques. While actual running times are reduced significantly, the advantage of parallelization on the graphics card could not be used for all parts of the algorithm and the asymptotic running time for a single iteration remained quadratic in the number of sites.…”
Section: Methods For Voronoi Treemapsmentioning
confidence: 99%
“…Mental‐map preservation is also a problem in this case. This problem has been investigated and addressed using dynamic voronoi treemaps [SFL10], which are designed to be stable against changes to the primary attribute, as well as to zooming. Dealing with changing hierarchies in a streaming context seems even more problematic, but because trees are special cases of graphs, solutions might be drawn from techniques for dynamic graph drawing.…”
Section: Analysing Design Challenges and Trade‐offsmentioning
confidence: 99%