A proper initial map scale can help improve map legibility. However, the existing initial scale designs for electronic maps cannot make active adjustments according to the differences in the surrounding geographic information distributions, during map panning or navigation. This causes many redundant zooming operations, which reduce the reading efficiency. To solve this problem, we propose a method based on the rough set, which chooses an initial map scale according to the spatial distribution of the road network. First, the spatial distribution of the road network is evaluated using the neighborhood relation model, with Delaunay triangulations. Next, the data of the road network’s spatial distributions and the corresponding map scale data from user operations are collected at different locations. Then, the relationship rules are extracted based on rough set. Finally, an intelligent initial map scale service is developed according to the rules, and its feasibility and effectiveness are tested using an experimental system. The test results show that the intelligent initial map method can adjust the map scale adaptively and dynamically according to distribution of the road network. Consequently, the map legibility is improved significantly because of the reduction in the number of zooming operations.
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Ai TH, Liang R (2007) Variable-scale visualization in navigation electronic map. Geomatics Inf Sci Wuhan Univ 32:127–130
Ai TH, He YK, Du X (2007) Information entropy change in GIS data scale transformation. Geog Geo-Inf Sci 32(2):7–11. https://doi.org/10.3969/j.issn:1672-0504.2015.02.002
Ai T, Zhang X, Zhou Q, Yang M (2015) A vector field model to handle the displacement of multiple conflicts in building generalization. Int J Geogr Inf Sci 29(8):1310–1331. https://doi.org/10.1080/13658816.2015.1019886
Ai TH, Ke S, Yang M, Li JZ (2016) Envelope generation and simplification of polylines using Delaunay triangulation. Int J Geogr Inf Sci 31(2):297–319. https://doi.org/10.1080/13658816.2016.1197399
Bertone A, Burghardt D (2017) A survey on visual analytics for the spatio-temporal exploration of microblogging content. J Geovis Spat Anal 1(1–2):2. https://doi.org/10.1007/s41651-017-0002-6
Chalmers D, Sloman M, Dulay N (2001) Map adaptation for users of mobile systems. Proc10th Int Conf on World Wide Web (WWW10) Hong Kong, ACM, pp 735–744
Chen J, Yan CD, Zhao RL, Zhao XS (2009) Voronoi neighbor-based self-adaptive clipping model for mobile maps. Acta Geodaetica et Cartographica Sinica 38:152–156. https://doi.org/10.3321/j.issn:1001-1595.2009.02.010
Deng HY, Wu F, Zhai RJ, Wang HL (2007) A DFQR tree for quality control of cartographical generalization. Acta Geodaetica Et Cartographica Sinica 36(2):237–243. https://doi.org/10.3321/j.issn:1001-1595.2007.02.021
Du XC, Guo QS (2004) Spatial neighborhood relation reasoning based on Delaunay triangulation. Sci Surveying Mapp 29:65–67. https://doi.org/10.3771/j.issn.1009-2307.2004.06.015
Guo W (2013) The method of variable-scale mobile map. Master Thesis, Zhengzhou University, Zhengzhou, China
Harrie L, Sarjakoski LT, Lehto L (2002) A mapping function for variable-scale maps in small-display cartography. J Geospatial Eng 4:111–123
Heitzler M, Lam JC, Hackl J, Adey BT (2017) GPU-accelerated rendering methods to visually analyze large-scale disaster simulation data. J Geovis Spat Anal 1(1–2):1–20. https://doi.org/10.1007/s41651-017-0004-4
Jiang N, Cao YN, Sun QH, Zhang H, Gu YH (2014) Research and application of two-peak changing law of basic electronic map load. Acta Geodaetica et Cartographica Sinica 43:306–313. https://doi.org/10.13485/j.cnki.11-2089.2014.0044
Kratz S, Brodien I, Rohs M (2010) Semi-automatic zooming for mobile map navigation. Proc 12th Int Conf Human-Computer Interaction with Mobile Devices and Services, pp 63–72
Li Q (2009) Variable-scale representation of road networks on small mobile devices. Comput Geosci 35:2185–2190. https://doi.org/10.1016/j.cageo.2008.12.009
Li JT, Yang DG, Zhang T, Lian XM (2014) Fuzzy homogenization of road density in vehicle navigation map. J Tsinghua Univ(Sci & Technol) 54(11):1434–1439. https://doi.org/10.16511/j.cnki.qhdxxb.2014.11.012
Liang JY, Li DY (2005) The uncertainty and knowledge acquisition in information system. Science Press, Beijing
Liang HM, Zhao J (2001a) Application of geographic information system on spatial distribution characteristics of settlement. J Northwest University (Nat Sci) 37:76–80. https://doi.org/10.16783/j.cnki.nwnuz.2001.02.019
Liang HM, Zhao J (2001b) Study on the spatial distribution characteristics of settlement in Loess Plateau by GIS. Hum Geogr 16:81–83. https://doi.org/10.3969/j.issn.1003-2398.2001.06.021
Lingas A (1986) The greedy and Delaunay triangulations are not bad in the average case and minimum weight triangulation of multi-connected polygons in NP-complete. Inf Process Lett 22:25–31
Meng L (2005) Egocentric design of map-based mobile services. Cartogr J 42:5–13. https://doi.org/10.1179/000870405X57275
Nivala A, Sarjakoski LT, Jakobsson A, Kaasinen E (2003) Usability evaluation of topographic maps in mobile devices. Proc 21st Int Cartographic Conf:1903–1913
Partala T, Luimula M, Saukko O (2006) Automatic rotation and zooming in mobile roadmaps. Proc 8th Conf Human-Computer Interaction with Mobile Devices and Services (HCI’06), pp 255–258
Pawlak Z (1982) Rough sets. Int J Comput Inf Sci 11(5):341–356
Peng YP, Liu WX (2002) Study on Delaunay triangulation and Voronoi diagram application in GIS. Eng Surv Mapp 11:39–41
Qiu SS, Quan GR, Kong LH (2000) A rule learning algorithm on continuous attributes space. J Harbin Inst Tech 32:42–47. https://doi.org/10.3321/j.issn:0367-6234.2000.03.011
Reichenbacher T (2004) Mobile cartography–adaptive visualization of geographic information on mobile device. Doctoral dissertation, Technical University Munich
Shi JF (2010) On the relationship between user speed and mobile map scale. Comput Knowl Technol 06:6250–6251. https://doi.org/10.3969/j.issn.1009-3044.2010.22.051
Stoter J, Burghardt D, Cécile D, Baella B, Bakker N, Blok C et al (2009) Methodology for evaluating automated map generalization in commercial software computers. Environ Urban Syst 33(5):311–324. https://doi.org/10.1016/j.compenvurbsys.2009.06.002
Töpfer F, Pillewizer W (1966) The principles of selection: a means of cartographic generalization. Cartogr J 3(1):10-16.
Tsai VJD (1993) Delaunay triangulations in TIN creation: an overview and a linear-time algorithm. Int J GIS 7:501–524
Wan G, Gao J, Liu YZ (2008) Research on cognitive map formation based on reading experiments. J Rem Sens 12:339–344
Wang GY (2001) Rough sets and knowledge acquisition. Xi’an Jiaotong University Press, Xi’an, pp 102–111
Wang Y, Ai TH (2018) Graphic simplification of complex road network intersections based on spatial relationship. J Geom 43(2):97–100. https://doi.org/10.14188/j.2095-6045.2017261
Wang P, Liu LN, Pan CH (2001) Delaunay triangulation fast creation and topology automatic form in GIS. J Geom 26:24–27. https://doi.org/10.14188/j.2095-6045.2001.04.007
Yan CD, Zhao RL, Chen J (2006) Adaptive model of mobile map. Geog Geo-Inf Sci 22(2):42–45
Yan QW, Bian ZF, Wang Z (2009) A spatial analysis on patterns of settlements distribution in Xuzhou. Sci Surveying Mapp 34:160–163
Yan CD, Zhao YK, Guo W (2013) The measurement and application of adjacent area based on Delaunay triangulation. Geog Geo-Inf Sci 2:125–126
Zhang HT (2005) Research on spatial information mobile service model, algorithm and transmission technology. Doctoral dissertation, Chinese PLA Information Engineering University, Zhengzhou
Zhang C, Yang BG (1984) Quantitative Geography Foundation. Higher Education Press, Beijing
Zhang ZJ, Li L, Jiang WL (2008) Research on dynamic eagle-eye technique in the multi-level display of electronic map. J Geom 33(3):36–37. https://doi.org/10.14188/j.2095-6045.2008.03.019
Zhong YX (1994) A metrical research on map legibility. J Wuhan Tech Univ Surv Mapp 19:346–351. https://doi.org/10.13203/j.whugis1994.04.012
This work is supported by the National Natural Science Foundation of China (No. 41671455, No. 40971238) and the key research projects of the Henan Provincial Education Department (15A420007, 16A420005).
Conflict of interest
The authors declare that they have no conflict of interest.
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Yan, C., Yang, L., Gartner, G. et al. Intelligent initial map scale generation based on rough-set rules. Arab J Geosci 12, 109 (2019). https://doi.org/10.1007/s12517-019-4265-8
- Initial scale
- Rough set
- Spatial distribution
- Road network