Fast dynamic Voronoi Treemaps

ISVD 2010 - 7th International Symposium on Voronoi Diagrams in Science and Engineering

Volumn , Issue , 2010, Pages 85-94

  Sud, Avneesh ^a   Fisher, Danyel ^a   Lee, Huai Ping ^b  

^a MICROSOFT RESEARCH   (United States)

^b UNIVERSITY OF NORTH CAROLINA   (United States)

Author keywords

Dynamic; GPU; Treemap; Voronoi Diagram

Indexed keywords

DATA SETS; DYNAMIC DATA; DYNAMIC UPDATE; EFFICIENT COMPUTATION; FAST DYNAMICS; GPU; HIERARCHICAL ALGORITHM; ORDERS OF MAGNITUDE; REAL-WORLD; SPACE-FILLING; TREE-MAPS; TREEMAP; VORONOI; VORONOI DIAGRAMS;

ASPECT RATIO; COMPUTATIONAL GEOMETRY; GRAPHIC METHODS; PROGRAM PROCESSORS;

COMPUTATIONAL EFFICIENCY;

EID: 77955671773     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ISVD.2010.16     Document Type: Conference Paper

References (32)

1. B. B. Bederson, B. Shneiderman, and M. Wattenberg, "Ordered and quantum treemaps: Making effective use of 2d space to display hierarchies," ACM Trans. Graph., vol.21, no.4, pp. 833-854, 2002.
2. M. A. Smith and A. T. Fiore, "Visualization components for persistent conversations," in CHI, 2001, pp. 136-143.
3. M. Wattenberg, "Visualizing the stock market," in CHI '99: CHI '99 extended abstracts on Human factors in computing systems. New York, NY, USA: ACM, 1999, pp. 188-189.
4. Y. Tu and H.-W. Shen, "Visualizing changes of hierarchical data using treemaps," IEEE Transactions on Visualization and Computer Graphics, vol.13, no.6, pp. 1286-1293, 2007.
5. M. Balzer and O. Deussen, "Voronoi treemaps," in IEEE InfoVis. Los Alamitos, CA, USA: IEEE Computer Society, 2005.
6. M. Balzer, O. Deussen, and C. Lewerentz, "Voronoi treemaps for the visualization of software metrics," in ACM SoftVis '05. New York, NY, USA: ACM, 2005, pp. 165-172.
7. B. Shneiderman, "Tree visualization with tree-maps: 2-d space-filling approach," ACM Trans. Graph., vol.11, no.1, pp. 92-99, 1992.
8. V. Di Maio, "Threshold effect in visual perception of geometrical figures," Perceptual and Motor Skills, vol.87, pp 340-342, 1998.
9. R. Blanch and E. Lecolinet, "Browsing zoomable treemaps: Structure-aware multi-scale navigation techniques," IEEE Transactions on Visualization and Computer Graphics, vol.13, no.6, pp. 1248-1253, November 2007.
10. M. Bruls, K. Huizing, and J. van Wijk, "Squarified treemaps," in Proc. of Joint Eurographics and IEEE TCVG Symp. on Visualization (TCVG 2000). IEEE Press, 2000, pp. 33-42. [Online]. Available: citeseer.ist.psu.edu/ bruls99squarified.html
11. G. G. Robertson, S. K. Card, and J. D. Mackinlay, "Information visualization using 3d interactive animation," Commun. ACM, vol.36, no.4, pp. 57-71, 1993.
12. J. Heer and G. G. Robertson, "Animated transitions in statistical data graphics," IEEE Trans. Vis. Comput. Graph., vol.13, no.6, pp. 1240-1247, 2007.
13. K.-P. Yee, D. Fisher, R. Dhamija, and M. A. Hearst, "Animated exploration of dynamic graphs with radial layout," in INFOVIS, 2001, pp. 43-50.
14. K. Onak and A. Sidiropoulos, "Circular partitions with applications to visualization and embeddings," in SCG '08: Proceedings of the twenty-fourth annual symposium on Computational geometry. New York, NY, USA: ACM, 2008, pp. 28-37.
15. F. Aurenhammer, "Power diagrams: Properties, algorithms, and applications," SIAM Journal of Computing, vol.16, no.1, pp. 78-96, 1987.
16. K. E. Hoff, III, T. Culver, J. Keyser, M. Lin, and D. Manocha, "Fast computation of generalized Voronoi diagrams using graphics hardware," in Computer Graphics Annual Conference Series (SIGGRAPH '99), 1999, pp. 277-286.
17. S. P. Lloyd, "Least squares quantization in PCM'S," Bell Telephone Labs Memo, 1957.
18. D. Mioc, F. Anton, C. M. Gold, and B. Moulin, "Map updates in a dynamic Voronoi data structure," in ISVD '06: Proceedings of the 3rd International Symposium on Voronoi Diagrams in Science and Engineering. Washington, DC, USA: IEEE Computer Society, 2006, pp. 264-269.
19. D. Mioc, F. Anton, and C. M. Gold, "An algorithm for the dynamic construction and maintenance of additively weighted Voronoi diagrams," in Abstracts 14th European Workshop Comput. Geom. Universitat Polytenica de Catalunya, Barcelona, 1998, pp. 117-119.
20. Y. Liu, W. Wang, B. Lvy, F. Sun, D. M. Yan, L. Lu, and C. Yang, "On centroidal Voronoi tessellation - energy smoothness and fast compu tation," Hong-Kong University and INRIA - ALICE Project Team, Tech. Rep., 2008, accepted pending revisions.
21. M. Balzer and D. Heck, "Capacity-constrained Voronoi diagrams in finite spaces," in Proceedings of the 5th Annual International Symposium on Voronoi Diagrams in Science and Engineering, ser. Vorono'i's Impact on Modern Science, K. Sugihara and D.-S. Kim, Eds., no.4(2), Kiev, Ukraine, September 2008, pp. 44-56.
22. H. Li, D. Nehab, L.-Y. Wei, P. Sander, and C.-W. Fu, "Fast capacity constrained Voronoi tessellation," Microsoft Research, Tech. Rep. MSR-TR-2009-2174, 2009.
23. F. Nielsen, "An interactive tour of Voronoi diagrams on the gpu," in ShaderX6: Advanced Rendering Techniques. Charles River Media (http://www.charlesriver.com/), 2008.
24. A. Sud, N. Govindaraju, and D. Manocha, "Interactive computation of discrete generalized Voronoi diagrams using range culling," in Proc. International Symposium on Voronoi Diagrams in Science and Engineering, October 2005.
25. J. Schneider, M. Kraus, and R. Westermann, "Gpu-based real time discrete euclidean distance transforms with precise error bounds," in VISSAPP (1), A. Ranchordas and H. Araujo, Eds. INSTICC Press, 2009, pp. 435-442
26. G. Rong and T.-S. Tan, "Variants of jump flooding algorithm for computing discrete Voronoi diagrams," in ISVD '07: Proceedings ofthe 4th International Symposium on Voronoi Diagrams in Science and Engineering. Washington, DC, USA: IEEE Computer Society, 2007, pp. 176-181.
27. C. N. Vasconcelos, A. M. Sá, P. C. P. Carvalho, and M. Gattass, "Lloyd's algorithm on gpu," in ISVC (1), ser. Lecture Notes in Computer Science, G. B. et al., Ed., vol.5358. Springer, 2008, pp. 953-964.
28. B. McDonnel and N. Elmqvist, "Towards utilizing gpus in information visualization: A model and implementation of image-space operations," IEEE Transactions on Visualization and Computer Graphics (Proc. InfoVis 2009), vol.15, pp. 1105-1112, 2009.
29. M. Bailey, "Using gpu shaders for visualization," IEEE Computer Graphics and Applications, vol.29, no.5, pp. 96-100, 2009.
30. F. Aurenhammer, "Voronoi diagrams: a survey," Tech. Univ. Graz, Graz, Austria, Tech. Rep., 1988.
31. L. Ju, Q. Du, and M. Gunzburger, "Probabilistic methods for centroidal Voronoi tessellations and their parallel implementations," Parallel Computing, vol.28, no.10, pp. 1477-1500, 2002.
32. K. E. Hoff III, T. Culver, J. Keyser, M. Lin, and D. Manocha, "Fast computation of generalized Voronoi diagrams using graphics hardware," in ACM Symposium on Computational Geometry, 2000, pp. 375-376.