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Resizing geovisualization with density map via a map collage

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Abstract

The extensive distribution of portable digital devices brings demands of adapting media to restricted display spaces or various aspect ratios. Most existing content-aware visualization resizing approaches introduce nonlinear deformation to enhance or preserve salient areas while squeezing non-salient ones. Their deformation on image-based geographic context could cause confusion and make it harder to interpret by the general mobile user. In this paper, we describe a deformation-free approach to resize the geovisualization using density map, resulting in a collage layout of sub-maps, called map collage. We show our technique of constructing a collage layout for one frame of geospatial data and a strategy of extending it to the temporal dimension. We demonstrate the results on two sets of geotemporal data and conducted a survey comparing our method, the seam carving, and the uniform scaling, which shows that ours is more preferred than the other two.

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References

  1. Aitchison A (2011) The google maps/bing maps spherical mercator projection. http://www.alastairawordpresscom/2011/01/23/the-google-maps-bing-maps-spherical-mercator-projection. Accessed 14 Apr 2014

  2. Aurenhammer F (1987) Power diagrams: properties, algorithms and applications. SIAM J Comput 16(1):78–96

  3. Avidan S, Shamir A (2007) Seam carving for content-aware image resizing. ACM Trans Graph 26(3):10

  4. Balzer M, Deussen O (2005) Voronoi treemaps. In: 2005 IEEE symposium on information visualization, pp 49–56

  5. Buchin K, Speckmann B, Verdonschot S (2012) Evolution strategies for optimizing rectangular cartograms. In: 2012 7th international conference on geographic information science. Springer, pp 29–42

  6. Dorling D (1996) Area cartograms: their use and creation, concepts and techniques in modern geography, vol 59. University of East Anglia Environmental Publications, Norwich, p 69

  7. Du Q, Faber V, Gunzburger M (1999) Centroidal Voronoi tessellations: applications and algorithms. SIAM Rev 41(4):637–676

  8. Ester M, Kriegel HP, Sander J, Xu X, et al (1996) A density-based algorithm for discovering clusters in large spatial databases with noise. In: 1996 Proceedings of the 2nd ACM SIGKDD international conference on Knowledge discovery and data mining, vol 96, pp 226–231

  9. Evans W, Felsner S, Kaufmann M, Kobourov SG, Mondal D, Nishat RI, Verbeek K (2013) Table cartograms. In: 2013 21st European Symposium on Algorithms. Springer, pp 421–432

  10. Furnas GW (1986) Generalized fisheye views. SIGCHI Bull 17(4):16–23

  11. Gastner MT, Newman ME (2004) Diffusion-based method for producing density-equalizing maps. Proc Nat Acad Sci 101(20):7499–7504

  12. Graham RL, Yao FF (1983) Finding the convex hull of a simple polygon. J Algorithms 4(4):324–331

  13. Han X, Zhang C, Lin W, Xu M, Sheng B, Mei T (2016) Tree-based visualization and optimization for image collection. IEEE Trans Cybern 46(6):1286–1300

  14. Johnson B, Shneiderman B (1991) Tree-maps: a space-filling approach to the visualization of hierarchical information structures. In: 1991 Proceedings of the 2nd Conference on Visualization, VIS ’91. IEEE Computer Society Press, pp 284–291

  15. Keim DA, Panse C, Sips M, Stephen C (2003) PixelMaps: a new visual data mining approach for analyzing large spatial data sets. In: 2003 IEEE 3rd international conference on data mining, pp 565–568

  16. Keim DA, North SC, Panse C (2004) CartoDraw: a fast algorithm for generating contiguous cartograms. IEEE Trans Visual Comput Graph 10(1):95–110

  17. Lampe OD, Hauser H (2011) Interactive visualization of streaming data with kernel density estimation. In: 2011 IEEE 4th Pacific Visualization Symposium, pp 171–178

  18. Li C, Baciu G, Wang Y, Zhang X (2018) Fast content-aware resizing of multi-layer information visualization via adaptive triangulation. J Visual Lang Comput 45:61–73

  19. Liu T, Wang J, Sun J, Zheng N, Tang X, Shum HY (2009) Picture collage. IEEE Trans Multimed 11(7):1225–1239

  20. Liu X, Shen HW, Hu Y (2015) Supporting multifaceted viewing of word clouds with focus+ context display. Inf Vis 14(2):168–180

  21. Liu L, Zhang H, Jing G, Guo Y, Chen Z, Wang W (2018) Correlation-preserving photo collage. IEEE Trans Visual Comput Graph 24(6):1956–1968

  22. Lloyd S (1982) Least squares quantization in PCM. IEEE Trans Inf Theory 28(2):129–137

  23. Nusrat S, Kobourov S (2016) The state of the art in cartograms. Comput Graph Forum 35(3):619–642

  24. Rother C, Kumar S, Kolmogorov V, Blake A (2005) Digital tapestry [automatic image synthesis]. In: 2005 IEEE 20th Computer Society Conference on Computer Vision and Pattern Recognition, vol 1, pp 589–596

  25. Rother C, Bordeaux L, Hamadi Y, Blake A (2006) Autocollage. ACM Trans Graph 25(3):847–852

  26. Rubinstein M, Shamir A, Avidan S (2008) Improved seam carving for video retargeting. ACM Trans Graph 27(3):16:1–16:9

  27. Suzuki S et al (1985) Topological structural analysis of digitized binary images by border following. Comput Vis Graph Image Process 30(1):32–46

  28. Tan L, Song Y, Liu S, Xie L (2011) ImageHive: interactive content-aware image summarization. IEEE Comput Graph Appl 32(1):46–55

  29. Thomee B, Shamma DA, Friedland G, Elizalde B, Ni K, Poland D, Borth D, Li LJ (2016) Yfcc100m: the new data in multimedia research. Commun ACM 59(2):64–73

  30. Tu Y, Shen HW (2008) Balloon focus: a seamless multi-focus+context method for treemaps. IEEE Trans Vis Comput Graph 14(6):1157–1164

  31. Wang YS, Tai CL, Sorkine O, Lee TY (2008) Optimized scale-and-stretch for image resizing. ACM Trans Graph 27(5):118:1–118:8

  32. Wolf L, Guttmann M, Cohen-Or D (2007) Non-homogeneous content-driven video-retargeting. In: 2007 IEEE 11th international conference on computer vision, pp 1–6

  33. Wu Y, Liu X, Liu S, Ma KL (2013) ViSizer: a visualization resizing framework. IEEE Trans Vis Comput Graph 19(2):278–290

  34. Yu Z, Lu L, Guo Y, Fan R, Liu M, Wang W (2014) Content-aware photo collage using circle packing. IEEE Trans Vis Comput Graph 20(2):182–195

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Acknowledgements

This work was supported by the National Natural Science Foundation of China under Grants (Nos. 61672237, 61802128, 61532002) and the Fundamental Research Funds for the Central Universities.

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Correspondence to Chenhui Li.

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Chen, J., Wang, C. & Li, C. Resizing geovisualization with density map via a map collage. J Vis 23, 125–139 (2020). https://doi.org/10.1007/s12650-019-00610-4

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Keywords

  • Visualization resizing
  • Geovisualization
  • Spatial-temporal data
  • Density map
  • Information visualization