{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,11,13]],"date-time":"2026-11-13T08:39:13Z","timestamp":1794559153318,"version":"4.9.1"},"publisher-location":"Cham","reference-count":44,"publisher":"Springer International Publishing","isbn-type":[{"value":"9783319739144","type":"print"},{"value":"9783319739151","type":"electronic"}],"license":[{"start":{"date-parts":[[2018,1,1]],"date-time":"2018-01-01T00:00:00Z","timestamp":1514764800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2018,1,1]],"date-time":"2018-01-01T00:00:00Z","timestamp":1514764800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2018]]},"DOI":"10.1007\/978-3-319-73915-1_30","type":"book-chapter","created":{"date-parts":[[2018,1,19]],"date-time":"2018-01-19T22:42:19Z","timestamp":1516401739000},"page":"379-393","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["MLSEB: Edge Bundling Using Moving Least Squares Approximation"],"prefix":"10.1007","author":[{"given":"Jieting","family":"Wu","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jianping","family":"Zeng","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Feiyu","family":"Zhu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Hongfeng","family":"Yu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2018,1,21]]},"reference":[{"issue":"1","key":"30_CR1","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1109\/TVCG.2003.1175093","volume":"9","author":"M Alexa","year":"2003","unstructured":"Alexa, M., Behr, J., Cohen-Or, D., Fleishman, S., Levin, D., Silva, C.T.: Computing and rendering point set surfaces. IEEE Trans. Vis. Comput. Graph. 9(1), 3\u201315 (2003)","journal-title":"IEEE Trans. Vis. Comput. Graph."},{"issue":"1","key":"30_CR2","doi-asserted-by":"publisher","first-page":"541","DOI":"10.1109\/TVCG.2016.2598958","volume":"23","author":"B Bach","year":"2017","unstructured":"Bach, B., Riche, N.H., Hurter, C., Marriott, K., Dwyer, T.: Towards unambiguous edge bundling: investigating confluent drawings for network visualization. IEEE Trans. Vis. Comput. Graph. 23(1), 541\u2013550 (2017)","journal-title":"IEEE Trans. Vis. Comput. Graph."},{"issue":"3","key":"30_CR3","doi-asserted-by":"publisher","first-page":"471","DOI":"10.1109\/TVCG.2013.114","volume":"20","author":"J B\u00f6ttger","year":"2014","unstructured":"B\u00f6ttger, J., Sch\u00e4fer, A., Lohmann, G., Villringer, A., Margulies, D.S.: Three-dimensional mean-shift edge bundling for the visualization of functional connectivity in the brain. IEEE Trans. Vis. Comput. Graph. 20(3), 471\u2013480 (2014)","journal-title":"IEEE Trans. Vis. Comput. Graph."},{"issue":"6","key":"30_CR4","doi-asserted-by":"publisher","first-page":"1277","DOI":"10.1109\/TVCG.2008.135","volume":"14","author":"W Cui","year":"2008","unstructured":"Cui, W., Zhou, H., Qu, H., Wong, P.C., Li, X.: Geometry-based edge clustering for graph visualization. IEEE Trans. Vis. Comput. Graph. 14(6), 1277\u20131284 (2008)","journal-title":"IEEE Trans. Vis. Comput. Graph."},{"key":"30_CR5","volume-title":"Graph Drawing: Algorithms for the Visualization of Graphs","author":"G Di Battista","year":"1999","unstructured":"Di Battista, G.: Graph Drawing: Algorithms for the Visualization of Graphs. Prentice Hall, Upper Saddle River (1999)"},{"issue":"12","key":"30_CR6","doi-asserted-by":"publisher","first-page":"2364","DOI":"10.1109\/TVCG.2011.233","volume":"17","author":"O Ersoy","year":"2011","unstructured":"Ersoy, O., Hurter, C., Paulovich, F., Cantareiro, G., Telea, A.: Skeleton-based edge bundling for graph visualization. IEEE Trans. Vis. Comput. Graph. 17(12), 2364\u20132373 (2011)","journal-title":"IEEE Trans. Vis. Comput. Graph."},{"key":"30_CR7","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"73","DOI":"10.1007\/978-3-319-12982-2_6","volume-title":"Computational Methods in Systems Biology","author":"F Fr\u00f6hlich","year":"2014","unstructured":"Fr\u00f6hlich, F., Hross, S., Theis, F.J., Hasenauer, J.: Radial basis function approximations of bayesian parameter posterior densities for uncertainty analysis. In: Mendes, P., Dada, J.O., Smallbone, K. (eds.) CMSB 2014. LNCS, vol. 8859, pp. 73\u201385. Springer, Cham (2014). https:\/\/doi.org\/10.1007\/978-3-319-12982-2_6"},{"key":"30_CR8","doi-asserted-by":"crossref","unstructured":"Gansner, E.R., Hu, Y., North, S., Scheidegger, C.: Multilevel agglomerative edge bundling for visualizing large graphs. In: 2011 IEEE Pacific Visualization Symposium, pp. 187\u2013194. IEEE (2011)","DOI":"10.1109\/PACIFICVIS.2011.5742389"},{"key":"30_CR9","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"386","DOI":"10.1007\/978-3-540-70904-6_37","volume-title":"Graph Drawing","author":"ER Gansner","year":"2007","unstructured":"Gansner, E.R., Koren, Y.: Improved circular layouts. In: Kaufmann, M., Wagner, D. (eds.) GD 2006. LNCS, vol. 4372, pp. 386\u2013398. Springer, Heidelberg (2007). https:\/\/doi.org\/10.1007\/978-3-540-70904-6_37"},{"key":"30_CR10","first-page":"121","volume":"6","author":"S Green","year":"2010","unstructured":"Green, S.: Particle simulation using CUDA. NVIDIA whitepaper 6, 121\u2013128 (2010)","journal-title":"NVIDIA whitepaper"},{"issue":"5","key":"30_CR11","doi-asserted-by":"publisher","first-page":"741","DOI":"10.1109\/TVCG.2006.147","volume":"12","author":"D Holten","year":"2006","unstructured":"Holten, D.: Hierarchical edge bundles: visualization of adjacency relations in hierarchical data. IEEE Trans. Vis. Comput. Graph. 12(5), 741\u2013748 (2006)","journal-title":"IEEE Trans. Vis. Comput. Graph."},{"issue":"3","key":"30_CR12","doi-asserted-by":"publisher","first-page":"983","DOI":"10.1111\/j.1467-8659.2009.01450.x","volume":"28","author":"D Holten","year":"2009","unstructured":"Holten, D., Wijk, J.J.V.: Force-directed edge bundling for graph visualization. Comput. Graph. Forum 28(3), 983\u2013990 (2009)","journal-title":"Comput. Graph. Forum"},{"issue":"3pt1","key":"30_CR13","doi-asserted-by":"publisher","first-page":"865","DOI":"10.1111\/j.1467-8659.2012.03079.x","volume":"31","author":"C Hurter","year":"2012","unstructured":"Hurter, C., Ersoy, O., Telea, A.: Graph bundling by kernel density estimation. Comput. Graph. Forum 31(3pt1), 865\u2013874 (2012)","journal-title":"Comput. Graph. Forum"},{"key":"30_CR14","doi-asserted-by":"crossref","unstructured":"Hurter, C., Ersoy, O., Telea, A.: Smooth bundling of large streaming and sequence graphs. In: 2013 IEEE Pacific Visualization Symposium (PacificVis), pp. 41\u201348. IEEE (2013)","DOI":"10.1109\/PacificVis.2013.6596126"},{"key":"30_CR15","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"234","DOI":"10.1007\/978-3-662-45803-7_20","volume-title":"Graph Drawing","author":"SG Kobourov","year":"2014","unstructured":"Kobourov, S.G., Pupyrev, S., Saket, B.: Are crossings important for drawing large graphs? In: Duncan, C., Symvonis, A. (eds.) GD 2014. LNCS, vol. 8871, pp. 234\u2013245. Springer, Heidelberg (2014). https:\/\/doi.org\/10.1007\/978-3-662-45803-7_20"},{"issue":"7","key":"30_CR16","doi-asserted-by":"publisher","first-page":"1802","DOI":"10.1109\/TVCG.2016.2520921","volume":"22","author":"OH Kwon","year":"2016","unstructured":"Kwon, O.H., Muelder, C., Lee, K., Ma, K.L.: A study of layout, rendering, and interaction methods for immersive graph visualization. IEEE Trans. Vis. Comput. Graph. 22(7), 1802\u20131815 (2016)","journal-title":"IEEE Trans. Vis. Comput. Graph."},{"key":"30_CR17","doi-asserted-by":"crossref","unstructured":"Lambert, A., Bourqui, R., Auber, D.: 3D edge bundling for geographical data visualization. In: 2010 14th International Conference Information Visualisation, pp. 329\u2013335, July 2010","DOI":"10.1109\/IV.2010.53"},{"key":"30_CR18","doi-asserted-by":"crossref","unstructured":"Lambert, A., Bourqui, R. and Auber, D.: Winding roads: routing edges into bundles. In: Computer Graphics Forum, vol. 29, no. 3, pp. 853\u2013862. Wiley (2010)","DOI":"10.1111\/j.1467-8659.2009.01700.x"},{"issue":"155","key":"30_CR19","doi-asserted-by":"publisher","first-page":"141","DOI":"10.1090\/S0025-5718-1981-0616367-1","volume":"37","author":"P Lancaster","year":"1981","unstructured":"Lancaster, P., Salkauskas, K.: Surfaces generated by moving least squares methods. Math. Comput. 37(155), 141\u2013158 (1981)","journal-title":"Math. Comput."},{"issue":"2","key":"30_CR20","doi-asserted-by":"publisher","first-page":"161","DOI":"10.1016\/S0167-8396(99)00044-8","volume":"17","author":"IK Lee","year":"2000","unstructured":"Lee, I.K.: Curve reconstruction from unorganized points. Comput. Aided Geom. Des. 17(2), 161\u2013177 (2000)","journal-title":"Comput. Aided Geom. Des."},{"key":"30_CR21","doi-asserted-by":"publisher","unstructured":"Levin, D.: Mesh-independent surface interpolation. In: Brunnett, G., Hamann, B., M\u00fcller, H., Linsen, L. (eds.) Geometric Modeling for Scientific Visualization. Mathematics and Visualization, pp. 37\u201349. Springer, Heidelberg (2004). https:\/\/doi.org\/10.1007\/978-3-662-07443-5_3","DOI":"10.1007\/978-3-662-07443-5_3"},{"issue":"3","key":"30_CR22","doi-asserted-by":"publisher","first-page":"619","DOI":"10.1111\/cgf.13213","volume":"36","author":"A Lhuillier","year":"2017","unstructured":"Lhuillier, A., Hurter, C., Telea, A.: State of the art in edge and trail bundling techniques. Comput. Graph. Forum 36(3), 619\u2013645 (2017)","journal-title":"Comput. Graph. Forum"},{"key":"30_CR23","doi-asserted-by":"crossref","unstructured":"Lhuillier, A., Hurter, C., Telea, A.: FFTEB: edge bundling of huge graphs by the fast fourier transform. In: PacificVis 2017, 10th IEEE Pacific Visualization Symposium. IEEE (2017)","DOI":"10.1109\/PACIFICVIS.2017.8031594"},{"key":"30_CR24","unstructured":"Lipman, Y., Cohen-Or, D., Levin, D.: Error bounds and optimal neighborhoods for MLS approximation. In: Proceedings of the Fourth Eurographics Symposium on Geometry Processing, SGP 2006, Eurographics Association, Aire-la-Ville, Switzerland, pp. 71\u201380 (2006)"},{"issue":"5","key":"30_CR25","doi-asserted-by":"publisher","first-page":"810","DOI":"10.1109\/TVCG.2011.104","volume":"18","author":"SJ Luo","year":"2012","unstructured":"Luo, S.J., Liu, C.L., Chen, B.Y., Ma, K.L.: Ambiguity-free edge-bundling for interactive graph visualization. IEEE Trans. Vis. Comput. Graph. 18(5), 810\u2013821 (2012)","journal-title":"IEEE Trans. Vis. Comput. Graph."},{"key":"30_CR26","doi-asserted-by":"crossref","unstructured":"McGee, F., Dingliana, J.: An empirical study on the impact of edge bundling on user comprehension of graphs. In: Proceedings of the International Working Conference on Advanced Visual Interfaces, AVI 2012, pp. 620\u2013627. ACM, New York (2012)","DOI":"10.1145\/2254556.2254670"},{"key":"30_CR27","doi-asserted-by":"crossref","unstructured":"Mederos, B., Velho, L., Figueiredo, L.H.D.: Moving least squares multiresolution surface approximation. In: 16th Brazilian Symposium on Computer Graphics and Image Processing (SIBGRAPI 2003), pp. 19\u201326, October 2003","DOI":"10.1109\/SIBGRA.2003.1240987"},{"key":"30_CR28","unstructured":"Nealen, A.: An As-Short-As-Possible Introduction to the Least Squares, Weighted Least Squares and Moving Least Squares Methods for Scattered Data Approximation and Interpolation (2004)"},{"key":"30_CR29","doi-asserted-by":"publisher","unstructured":"Nguyen, Q., Eades, P., Hong, S.-H.: On the faithfulness of graph visualizations. In: 2013 IEEE Pacific Visualization Symposium (PacificVis), pp. 209\u2013216, February 2013. https:\/\/doi.org\/10.1109\/PacificVis.2013.6596147. ISSN:2165-8765","DOI":"10.1109\/PacificVis.2013.6596147"},{"key":"30_CR30","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"400","DOI":"10.1007\/978-3-642-36763-2_36","volume-title":"Graph Drawing","author":"Q Nguyen","year":"2013","unstructured":"Nguyen, Q., Eades, P., Hong, S.-H.: StreamEB: stream edge bundling. In: Didimo, W., Patrignani, M. (eds.) GD 2012. LNCS, vol. 7704, pp. 400\u2013413. Springer, Heidelberg (2013). https:\/\/doi.org\/10.1007\/978-3-642-36763-2_36"},{"key":"30_CR31","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"123","DOI":"10.1007\/978-3-642-25878-7_13","volume-title":"Graph Drawing","author":"Q Nguyen","year":"2012","unstructured":"Nguyen, Q., Hong, S.-H., Eades, P.: TGI-EB: a new framework for edge bundling integrating topology, geometry and importance. In: van Kreveld, M., Speckmann, B. (eds.) GD 2011. LNCS, vol. 7034, pp. 123\u2013135. Springer, Heidelberg (2012). https:\/\/doi.org\/10.1007\/978-3-642-25878-7_13"},{"issue":"3","key":"30_CR32","doi-asserted-by":"publisher","first-page":"564","DOI":"10.1109\/TVCG.2007.70443","volume":"14","author":"FV Paulovich","year":"2008","unstructured":"Paulovich, F.V., Nonato, L.G., Minghim, R., Levkowitz, H.: Least square projection: a fast high-precision multidimensional projection technique and its application to document mapping. IEEE Trans. Vis. Comput. Graph. 14(3), 564\u2013575 (2008)","journal-title":"IEEE Trans. Vis. Comput. Graph."},{"key":"30_CR33","doi-asserted-by":"crossref","unstructured":"Peysakhovich, V., Hurter, C., Telea, A.: Attribute-driven edge bundling for general graphs with applications in trail analysis. In: 2015 IEEE Pacific Visualization Symposium (PacificVis), pp. 39\u201346. IEEE (2015)","DOI":"10.1109\/PACIFICVIS.2015.7156354"},{"key":"30_CR34","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"329","DOI":"10.1007\/978-3-642-18469-7_30","volume-title":"Graph Drawing","author":"S Pupyrev","year":"2011","unstructured":"Pupyrev, S., Nachmanson, L., Kaufmann, M.: Improving layered graph layouts with edge bundling. In: Brandes, U., Cornelsen, S. (eds.) GD 2010. LNCS, vol. 6502, pp. 329\u2013340. Springer, Heidelberg (2011). https:\/\/doi.org\/10.1007\/978-3-642-18469-7_30"},{"key":"30_CR35","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"248","DOI":"10.1007\/3-540-63938-1_67","volume-title":"Graph Drawing","author":"H Purchase","year":"1997","unstructured":"Purchase, H.: Which aesthetic has the greatest effect on human understanding? In: DiBattista, G. (ed.) GD 1997. LNCS, vol. 1353, pp. 248\u2013261. Springer, Heidelberg (1997). https:\/\/doi.org\/10.1007\/3-540-63938-1_67"},{"key":"30_CR36","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"435","DOI":"10.1007\/BFb0021827","volume-title":"Graph Drawing","author":"HC Purchase","year":"1996","unstructured":"Purchase, H.C., Cohen, R.F., James, M.: Validating graph drawing aesthetics. In: Brandenburg, F.J. (ed.) GD 1995. LNCS, vol. 1027, pp. 435\u2013446. Springer, Heidelberg (1996). https:\/\/doi.org\/10.1007\/BFb0021827"},{"issue":"12","key":"30_CR37","doi-asserted-by":"publisher","first-page":"2354","DOI":"10.1109\/TVCG.2011.190","volume":"17","author":"D Selassie","year":"2011","unstructured":"Selassie, D., Heller, B., Heer, J.: Divided edge bundling for directional network data. IEEE Trans. Vis. Comput. Graph. 17(12), 2354\u20132363 (2011)","journal-title":"IEEE Trans. Vis. Comput. Graph."},{"key":"30_CR38","unstructured":"Tamassia, R.: Handbook of Graph Drawing and Visualization (Discrete Mathematics and Its Applications). Chapman & Hall\/CRC (2007)"},{"key":"30_CR39","unstructured":"Telea, A., Ersoy, O., Hoogendorp, H., Reniers, D.: Comparison of node-link and hierarchical edge bundling layouts: a user study. In: Keim, D.A., Pras, A., Sch\u00f6nw\u00e4lder, J., Wong, P.C. (eds.) Visualization and Monitoring of Network Traffic. No. 09211 in Dagstuhl Seminar Proceedings, Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik, Germany, Dagstuhl, Germany (2009)"},{"issue":"4","key":"30_CR40","doi-asserted-by":"publisher","first-page":"572","DOI":"10.1109\/TVCG.2009.13","volume":"15","author":"H Wang","year":"2009","unstructured":"Wang, H., Scheidegger, C.E., Silva, C.T.: Bandwidth selection and reconstruction quality in point-based surfaces. IEEE Trans. Vis. Comput. Graph. 15(4), 572\u2013582 (2009)","journal-title":"IEEE Trans. Vis. Comput. Graph."},{"key":"30_CR41","doi-asserted-by":"crossref","unstructured":"Wu, J., Yu, L., Yu, H.: Texture-based edge bundling: a web-based approach for interactively visualizing large graphs. In: 2015 IEEE International Conference on Big Data (Big Data), pp. 2501\u20132508, October 2015","DOI":"10.1109\/BigData.2015.7364046"},{"key":"30_CR42","unstructured":"Zhou, H.: Visual Clustering in Parallel Coordinates and Graphs. Ph.D. thesis (2009), aAI3398258"},{"key":"30_CR43","doi-asserted-by":"crossref","unstructured":"Zielasko, D., Weyers, B., Hentschel, B., Kuhlen, T.W.: Interactive 3D force-directed edge bundling. In: Computer Graphics Forum, vol. 35, no. 3, pp. 51\u201360. Wiley (2016)","DOI":"10.1111\/cgf.12881"},{"issue":"12","key":"30_CR44","doi-asserted-by":"publisher","first-page":"2550","DOI":"10.1109\/TVCG.2016.2515611","volume":"22","author":"M van der Zwan","year":"2016","unstructured":"van der Zwan, M., Codreanu, V., Telea, A.: CUBu: universal real-time bundling for large graphs. IEEE Trans. Vis. Comput. Graph. 22(12), 2550\u20132563 (2016)","journal-title":"IEEE Trans. Vis. Comput. Graph."}],"container-title":["Lecture Notes in Computer Science","Graph Drawing and Network Visualization"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-73915-1_30","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,3,12]],"date-time":"2024-03-12T07:24:50Z","timestamp":1710228290000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-319-73915-1_30"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018]]},"ISBN":["9783319739144","9783319739151"],"references-count":44,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-73915-1_30","relation":{"is-part-of":[{"id-type":"doi","id":"https:\/\/doi.org\/10.1007\/978-3-319-73915-1","asserted-by":"object"}]},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018]]},"assertion":[{"value":"21 January 2018","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"GD","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Symposium on Graph Drawing and Network Visualization","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Boston","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"USA","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2017","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"25 September 2017","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"27 September 2017","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"25","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"gd2017","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/gd2017.ccis.northeastern.edu\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"This content has been made available to all.","name":"free","label":"Free to read"}]}}