Abstract
With the increasing size of geographical point data, scatterplot often suffers from serious overdraw problems, which greatly hinders the visual exploration and analysis of data. At present, a variety of sampling methods considering data features have been proposed to simplify the large-scale geographical point data to alleviate this problem. However, there is still no attempt to simplify data from the perspective of geostatistics in the sampling methods, which will be greatly beneficial to explore the spatial information of unknown points and restore the original data features. In this paper, a sampling model is proposed to generate a representative subset from the large-scale geographical point data to improve the interpolation quality of the sampled points and preserve attribute features of original data, in which a semivariable function is applied to capture geostatistical characteristics of data attributes. A set of visual interfaces are further implemented enabling users to visually evaluate the sampled results of different methods and effectively conduct geospatial analysis. Case studies and quantitative comparisons based on the real-world geographical datasets further demonstrate the validity of our interpolation-driven sampling model in the abstraction and analysis of large-scale geographical point data.
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Bachthaler S, Weiskopf D (2008) Continuous scatterplots. IEEE Trans Visualization Computer Gr 14(6):1428–1435
Bhattacharjee S, Mitra P, Ghosh SK (2014) Spatial interpolation to predict missing attributes in gis using semantic kriging. IEEE Trans Geosci Remote Sens 52(8):4771–4780
Bouhmala N (2019) Combining simulated annealing with local search heuristic for max-sat. J Heuristics 25(1):47–69
Cami B, Javankhoshdel S, Phoon K-K, Ching J (2020) Scale of fluctuation for spatially varying soils: estimation methods and values. ASCE-ASME J Risk Uncertain Eng Syst Part A Civil Eng 6(4):03120002
Cao H, Zhao Y, Ni R (2012) Detection of interpolation using correlation coefficients. In 2012 IEEE 11th International Conference on Signal Processing, volume 2, pages 989–992
Chen H, Chen W, Mei H, Liu Z, Zhou K, Chen W, Gu W, Ma K-L (2014) Visual abstraction and exploration of multi-class scatterplots. IEEE Trans Visualization Computer Gr 20(12):1683–1692
Chen H, Engle S, Joshi A, Ragan ED, Harrison L (2018) Using animation to alleviate overdraw in multiclass scatterplot matrices. In the 2018 CHI Conference
Collins, Fred C (1995) A comparison of spatial interpolation techniques in temperature estimation /. National Center
Dix A, Ellis G (2002) by chance enhancing interaction with large data sets through statistical sampling
Dork M, Carpendale S, Collins C, Williamson C (2008) Visgets: Coordinated visualizations for web-based information exploration and discovery. IEEE Transactions on Visualization and Computer Graphics 14
Ellis G, Dix A (2007) A taxonomy of clutter reduction for information visualisation. IEEE Trans Visualization Computer Gr 13(6):1216–1223
Gunawan AAS, Falah AN, Faruk A, Lutero DS, Ruchjana BN, Abdullah AS (2016) Spatial data mining for predicting of unobserved zinc pollutant using ordinary point kriging. In 2016 International Workshop on Big Data and Information Security (IWBIS), pages 83–88
He M, Xi T, Huang Y (2011) To visualize spatial data using thematic maps combined with infographics. International Conference on Geoinformatics 1–5
Hu R, Sha T, Van Kaick O, Deussen O, Huang H (2020) Data sampling in multi-view and multi-class scatterplots via set cover optimization. IEEE Trans Visualization Computer Gr 26(1):739–748
Kyriakidis PC, Goodchild MF (2006) On the prediction error variance of three common spatial interpolation schemes. Int J Geogr Inf Sci 20(8):823–855
Li C, Baciu G, Han Y (2018) Streammap: smooth dynamic visualization of high-density streaming points. IEEE Trans Visualization Computer Gr 24(3):1381–1393
Lin Z, Wang J, Zhang Y, Cai S, Hao S (2017) Efficient gpu-based parallel kriging algorithm for predicting the air quality index. In 2017 International Conference on Green Informatics (ICGI), pages 1–5, Los Alamitos, CA, USA. IEEE Computer Society
Lin Z, Wang J, Zhang Y, Cai S, Hao S (2017) Efficient gpu-based parallel kriging algorithm for predicting the air quality index. In 2017 International Conference on Green Informatics (ICGI), pages 1–5
Lipowski A, Lipowska D (2012) Roulette-wheel selection via stochastic acceptance. Phys A: Stat Mech Appl 391(6):2193–2196
Ma Y, Tung AKH, Wang W, Gao X, Pan Z, Chen W (2020) Scatternet: a deep subjective similarity model for visual analysis of scatterplots. IEEE Trans Visualization Computer Gr 26(3):1562–1576
Parada-Mayorga A, Lau DL, Giraldo JH, Arce GR (2019) Blue-noise sampling on graphs. IEEE Trans Signal Inf Process over Netw 5(3):554–569
Park Y, Cafarella M, Mozafari B (2016) Visualization-aware sampling for very large databases. In 2016 IEEE 32nd International Conference on Data Engineering (ICDE), pages 755–766
Ruzanski E, Chandrasekar V (2015) Weather radar data interpolation using a kernel-based lagrangian nowcasting technique. IEEE Trans Geosci Remote Sens 53(6):3073–3083
Wang G, Guo J, Tang M, Neto JFd Queiroz, Yau C, Daghistani A, Karimzadeh M, Aref WG, Ebert DS (2020) Stull: Unbiased online sampling for visual exploration of large spatiotemporal data. In 2020 IEEE Conference on Visual Analytics Science and Technology (VAST), pages 72–83
Wang J, Wu J, Cao A, Zhou Z, Zhang H, Wu Y (2021) Tac-miner: visual tactic mining for multiple table tennis matches. IEEE Trans Visualisation Computer Graph 27(6):2770–2782
Wang Q, Wang L, Li Z, Tong X, Atkinson PM (2020) Spatial-spectral radial basis function-based interpolation for landsat etm+ slc-off image gap filling. IEEE Trans Geosci Remote Sens 35:1–17
Wardah T, Huda SY Sharifah Nurul, Deni S, Azwa B Nur (2011) Radar rainfall estimates comparison with kriging interpolation of gauged rain. In 2011 IEEE Colloquium on Humanities, Science and Engineering, pages 93–97
Weng D, Zheng C, Deng Z, Ma M, Bao J, Zheng Y, Xu M, Wu Y (2021) Towards better bus networks: a visual analytics approach. IEEE Trans Visualisation Computer Graph 27(2):817–827
Xia J, Chen T, Zhang L, Chen W, Chen Y, Zhang X, Xie C, Schreck T (2020) Smap: A joint dimensionality reduction scheme for secure multi-party visualization. In 2020 IEEE Conference on Visual Analytics Science and Technology (VAST), pages 107–118
Ye S, Chen Z, Chu X, Wang Y, Fu S, Shen L, Zhou K, Wu Y (2021) Shuttlespace: exploring and analyzing movement trajectory in immersive visualization. IEEE Trans Visualisation Computer Graph 27(2):860–869
Yu JX (2019) Impact of in-situ observation sites configuration on spatial interpolation: A case study on air temperature. In IGARSS 2019 - 2019 IEEE International Geoscience and Remote Sensing Symposium
Yuan J, Chen C, Yang W, Liu M, Xia J, Liu S (2021) A survey of visual analytics techniques for machine learning. Comput Visual Media 7(1):3–36
Yuan J, Xiang S, Xia J, Yu L, Liu S (2021) Evaluation of sampling methods for scatterplots. IEEE Trans Visualisation Computer Graph 27(2):1720–1730
Zhao Y, Jiang H, Chen Q, Qin Y, Xie H, Wu Y, Liu S, Zhou Z, Xia J, Zhou F (2021) Preserving minority structures in graph sampling. IEEE Trans Visualisation Computer Graph 27(2):1698–1708
Zheng Y, Jestes J, Phillips JM, Li F (2013) Quality and efficiency for kernel density estimates in large data. In Ross KA, Srivastava D, Papadias D, editors, Proceedings of the ACM SIGMOD International Conference on Management of Data, SIGMOD 2013, New York, NY, USA, June 22-27, 2013, pages 433–444. ACM
ZHONG G-j, Di-WANG, ZHOU Q-b (2019) Optimization study of crop area spatial sampling method based on kriging interpolation estimation. In 2019 8th International Conference on Agro-Geoinformatics (Agro-Geoinformatics), pages 1–6
Zhou Z, Meng L, Tang C, Zhao Y, Guo Z, Hu M, Chen W (2019) Visual abstraction of large scale geospatial origin-destination movement data. IEEE Trans Visualisation Computer Graph 25(1):43–53
Zhou Z, Zhang X, Guo Z, Liu Y (2020) Visual abstraction and exploration of large-scale geographical social media data. Neurocomputing 376:244–255
Zhou Z, Zhang X, Yang Z, Chen Y, Liu Y, Wen J, Chen B, Zhao Y, Chen W (2020) Visual abstraction of geographical point data with spatial autocorrelations. In 15th IEEE Conference on Visual Analytics Science and Technology, IEEE VAST@IEEE VIS 2020, Virtual Event, USA, October 25-30, 2020, pages 60–71. IEEE
Acknowledgements
We would like to thank the reviewers for their thoughtful comments. The work is supported in part by the National Natural Science Foundation of China (No.61872314, 41901363 and 41801313), Open Project Program of the State Key Lab of CADCG of Zhejiang University (No. A2001), and the Public Welfare Technology Applied Research Project of Zhejiang Province (No.LGF20G010003).
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Zheng, F., Wen, J., Zhang, X. et al. Visual abstraction of large-scale geographical point data with credible spatial interpolation. J Vis 24, 1303–1317 (2021). https://doi.org/10.1007/s12650-021-00777-9
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DOI: https://doi.org/10.1007/s12650-021-00777-9