{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,13]],"date-time":"2026-05-13T16:36:00Z","timestamp":1778690160218,"version":"3.51.4"},"reference-count":80,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2018,5,16]],"date-time":"2018-05-16T00:00:00Z","timestamp":1526428800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Viewpoint selection has been an emerging area in computer graphics for some years, and it is now getting maturity with applications in fields such as scene navigation, scientific visualization, object recognition, mesh simplification, and camera placement. In this survey, we review and compare twenty-two measures to select good views of a polygonal 3D model, classify them using an extension of the categories defined by Secord et al., and evaluate them against the Dutagaci et al. benchmark. Eleven of these measures have not been reviewed in previous surveys. Three out of the five short-listed best viewpoint measures are directly related to information. We also present in which fields the different viewpoint measures have been applied. Finally, we provide a publicly available framework where all the viewpoint selection measures are implemented and can be compared against each other.<\/jats:p>","DOI":"10.3390\/e20050370","type":"journal-article","created":{"date-parts":[[2018,5,17]],"date-time":"2018-05-17T03:49:29Z","timestamp":1526528969000},"page":"370","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":41,"title":["A Survey of Viewpoint Selection Methods for Polygonal Models"],"prefix":"10.3390","volume":"20","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4069-3991","authenticated-orcid":false,"given":"Xavier","family":"Bonaventura","sequence":"first","affiliation":[{"name":"Graphics &amp; Imaging Laboratory, University of Girona, Girona 17003, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6512-7588","authenticated-orcid":false,"given":"Miquel","family":"Feixas","sequence":"additional","affiliation":[{"name":"Graphics &amp; Imaging Laboratory, University of Girona, Girona 17003, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2164-6858","authenticated-orcid":false,"given":"Mateu","family":"Sbert","sequence":"additional","affiliation":[{"name":"Graphics &amp; Imaging Laboratory, University of Girona, Girona 17003, Spain"},{"name":"School of Computer Science and Technology, Tianjin University, Tianjin 300350, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1975-5716","authenticated-orcid":false,"given":"Lewis","family":"Chuang","sequence":"additional","affiliation":[{"name":"Max Planck Institute for Biological Cybernetics, Tuebingen 72076, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2604-9115","authenticated-orcid":false,"given":"Christian","family":"Wallraven","sequence":"additional","affiliation":[{"name":"Department of Brain Cognitive Engineering, Korea University, Seoul 02841, Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2018,5,16]]},"reference":[{"key":"ref_1","first-page":"179","article-title":"Theories of Three-Dimensional Object Perception\u2014A Survey","volume":"1","author":"Peters","year":"2000","journal-title":"Recent Res. Dev. Pattern Recognit."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"115","DOI":"10.1037\/0033-295X.94.2.115","article-title":"Recognition-by-components: A theory of human image understanding","volume":"94","author":"Biederman","year":"1987","journal-title":"Psychol. Rev."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1007\/BF00337644","article-title":"The internal representation of solid shape with respect to vision","volume":"32","author":"Koenderink","year":"1979","journal-title":"Biol. Cybern."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"2385","DOI":"10.1016\/0042-6989(92)90102-O","article-title":"Orientation dependence in the recognition of familiar and novel views of three-dimensional objects","volume":"32","author":"Edelman","year":"1992","journal-title":"Vis. Res."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"247","DOI":"10.1093\/cercor\/5.3.247","article-title":"How are three-dimensional objects represented in the brain?","volume":"5","author":"Edelman","year":"1995","journal-title":"Cereb. Cortex"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"282","DOI":"10.1111\/j.1467-9280.1997.tb00439.x","article-title":"To what extent do unique parts influence recognition across changes in viewpoint?","volume":"8","author":"Tarr","year":"1997","journal-title":"Psychol. Sci."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"270","DOI":"10.1093\/cercor\/5.3.270","article-title":"Psychophysical and Physiological Evidence for Viewer-centered Object Representations in the Primate","volume":"5","author":"Logothetis","year":"1995","journal-title":"Cereb. Cortex"},{"key":"ref_8","unstructured":"Palmer, S.E., Rosch, E., and Chase, P. (1981). Canonical perspective and the perception of objects. Attention and Performance IX, Lawrence Erlbaum Associates."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"1315","DOI":"10.1016\/S0960-9822(00)80053-6","article-title":"Active manual control of object views facilitates visual recognition","volume":"9","author":"Harman","year":"1999","journal-title":"Curr. Biol."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"703","DOI":"10.1068\/p170703","article-title":"Characteristic views and the visual inspection of simple faceted and smooth objects: \u2018Tetrahedra and potatoes\u2019","volume":"17","author":"Perrett","year":"1988","journal-title":"Perception"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"497","DOI":"10.1068\/p210497","article-title":"Use of preferential inspection to define the viewing sphere and characteristic views of an arbitrary machined tool part","volume":"21","author":"Perrett","year":"1992","journal-title":"Perception"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"575","DOI":"10.1068\/p2897","article-title":"What object attributes determine canonical views?","volume":"28","author":"Blanz","year":"1999","journal-title":"Perception"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"840","DOI":"10.1007\/s00371-005-0326-y","article-title":"What\u2019s in an image?","volume":"21","author":"Polonsky","year":"2005","journal-title":"Vis. Comput."},{"key":"ref_14","doi-asserted-by":"crossref","unstructured":"Dutagaci, H., Cheung, C.P., and Godil, A. (2010, January 25). A benchmark for best view selection of 3D objects. Proceedings of the ACM Workshop on 3D Object Retrieval, Firenze, Italy.","DOI":"10.1145\/1877808.1877819"},{"key":"ref_15","first-page":"109:1","article-title":"Perceptual models of viewpoint preference","volume":"30","author":"Secord","year":"2011","journal-title":"ACMToG"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1037\/h0054663","article-title":"Some informational aspects of visual perception","volume":"61","author":"Attneave","year":"1954","journal-title":"Psychol. Rev."},{"key":"ref_17","unstructured":"Connolly, C.I. (1985, January 25\u201328). The determination of next best views. Proceedings of the IEEE International Conference on Robotics and Automation, St. Louis, MO, USA."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1016\/0734-189X(88)90116-8","article-title":"A simple method for computing general position in displaying three-dimensional objects","volume":"41","author":"Kamada","year":"1988","journal-title":"Comput. Vis. Graph. Image Proc."},{"key":"ref_19","unstructured":"Plemenos, D., and Benayada, M. (1996, January 1). Intelligent Display Techniques in Scene Modelling. New Techniques to Automatically Compute Good Views. Proceedings of the International Conference GraphiCon\u201996, St Petersbourg, Russia."},{"key":"ref_20","doi-asserted-by":"crossref","unstructured":"Arbel, T., and Ferrie, F.P. (1999, January 20\u201327). Viewpoint selection by navigation through entropy maps. Proceedings of the Seventh IEEE International Conference on Computer Vision, Kerkyra, Greece.","DOI":"10.1109\/ICCV.1999.791227"},{"key":"ref_21","unstructured":"V\u00e1zquez, P.P., Feixas, M., Sbert, M., and Heidrich, W. (2001, January 21\u201323). Viewpoint Selection Using Viewpoint Entropy. Proceedings of the Vision Modeling and Visualization Conference, Stuttgart, Germany."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1109\/34.574783","article-title":"On view likelihood and stability","volume":"19","author":"Weinshall","year":"1997","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"key":"ref_23","unstructured":"Stoev, S.L., and Stra\u00dfer, W. (November, January 27). A case study on automatic camera placement and motion for visualizing historical data. Proceedings of the IEEE Visualization \u201902, IEEE Computer Society, Washington, DC, USA."},{"key":"ref_24","unstructured":"Yamauchi, H., Saleem, W., Yoshizawa, S., Karni, Z., Belyaev, A.G., and Seidel, H.P. (2006, January 14\u201316). Towards Stable and Salient Multi-View Representation of 3D Shapes. Proceedings of the IEEE International Conference on Shape Modeling and Applications 2006 (SMI\u201906), Matsushima, Japan."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"1254","DOI":"10.1109\/34.730558","article-title":"A Model of Saliency-Based Visual Attention for Rapid Scene Analysis","volume":"20","author":"Itti","year":"1998","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"185","DOI":"10.1109\/TPAMI.2012.89","article-title":"State-of-the-Art in Visual Attention Modeling","volume":"35","author":"Borji","year":"2013","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"key":"ref_27","first-page":"659","article-title":"Mesh saliency","volume":"24","author":"Lee","year":"2005","journal-title":"ACMToG"},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"130","DOI":"10.1145\/1122501.1122507","article-title":"Salient geometric features for partial shape matching and similarity","volume":"25","author":"Gal","year":"2006","journal-title":"ACM Trans. Graph. (TOG)"},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"20","DOI":"10.1037\/0096-1523.33.1.20","article-title":"Object-intrinsic oddities draw early saccades","volume":"33","author":"Becker","year":"2007","journal-title":"J. Exp. Psychol. Hum. Percept. Perform."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1111\/cgf.12411","article-title":"C-LOD: Context-aware Material Level-Of-Detail applied to Mobile Graphics","volume":"33","author":"Koulieris","year":"2014","journal-title":"Comput. Graph. Forum"},{"key":"ref_31","doi-asserted-by":"crossref","unstructured":"Gooch, B., Reinhard, E., Moulding, C., and Shirley, P. (2001). Artistic Composition for Image Creation. Rendering Techniques, Springer.","DOI":"10.1007\/978-3-7091-6242-2_8"},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"42:1","DOI":"10.1145\/1360612.1360641","article-title":"Upright orientation of man-made objects","volume":"27","author":"Fu","year":"2008","journal-title":"TOG"},{"key":"ref_33","doi-asserted-by":"crossref","unstructured":"Zusne, L. (1970). Visual Perception of Form, Academic Press.","DOI":"10.1097\/00006324-197110000-00010"},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"549","DOI":"10.1145\/1141911.1141923","article-title":"A planar-reflective symmetry transform for 3D shapes","volume":"25","author":"Podolak","year":"2006","journal-title":"TOG"},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1145\/1462055.1462056","article-title":"A unified information-theoretic framework for viewpoint selection and mesh saliency","volume":"6","author":"Feixas","year":"2009","journal-title":"ACM Trans. Appl. Percept."},{"key":"ref_36","unstructured":"Barral, P., Dorme, G., and Plemenos, D. (1999, January 26). Visual understanding of a scene by automatic movement of a camera. Proceedings of the International Conference GraphiCon\u201999, Moscow, Russia."},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"689","DOI":"10.1111\/j.1467-8659.2003.00717.x","article-title":"Automatic View Selection Using Viewpoint Entropy and its Applications to Image-based Modelling","volume":"22","author":"Feixas","year":"2003","journal-title":"Comput. Graph. Forum"},{"key":"ref_38","unstructured":"Cover, T.M., and Thomas, J.A. (1991). Elements of Information Theory, Wiley-Interscience."},{"key":"ref_39","unstructured":"Yeung, R.W. (2008). Information Theory and Network Coding, Springer."},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"325","DOI":"10.1088\/0954-898X_10_4_303","article-title":"How to measure the information gained from one symbol","volume":"10","author":"Deweese","year":"1999","journal-title":"Netw. Comput. Neural Syst."},{"key":"ref_41","unstructured":"Bonaventura, X., Feixas, M., and Sbert, M. (2011, January 26). Viewpoint Information. Proceedings of the 21st GraphiCon International Conference on Computer Graphics and Vision, Moscow, Russia."},{"key":"ref_42","unstructured":"Sbert, M., Plemenos, D., Feixas, M., and Gonz\u00e1lez, F. (2005, January 18\u201320). Viewpoint Quality: Measures and Applications. Proceedings of the First Eurographics Conference on Computational Aesthetics in Graphics, Visualization and Imaging, Girona, Spain."},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"933","DOI":"10.1109\/TVCG.2006.152","article-title":"Importance-Driven Focus of Attention","volume":"12","author":"Viola","year":"2006","journal-title":"IEEE Trans. Vis. Comput. Graph."},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"177","DOI":"10.1088\/0954-898X_14_2_301","article-title":"How much information is associated with a particular stimulus?","volume":"14","author":"Butts","year":"2003","journal-title":"Netw. Comput. Neural Syst."},{"key":"ref_45","unstructured":"Page, D.L., Koschan, A.F., Sukumar, S.R., Roui-Abidi, B., and Abidi, M.A. (2003, January 14\u201318). Shape Analysis Algorithm Based on Information Theory. Proceedings of the IEEE International Conference on Image Processing (ICIP\u201903), Barcelona, Spain."},{"key":"ref_46","doi-asserted-by":"crossref","first-page":"717","DOI":"10.1111\/j.1467-8659.2009.01412.x","article-title":"Learning Good Views through Intelligent Galleries","volume":"28","author":"Vieira","year":"2009","journal-title":"Comput. Graph. Forum"},{"key":"ref_47","doi-asserted-by":"crossref","first-page":"489","DOI":"10.1109\/TIT.1982.1056497","article-title":"On the Convexity of some Divergence Measures Based on Entropy Functions","volume":"28","author":"Burbea","year":"1982","journal-title":"IEEE Trans. Inf. Theory"},{"key":"ref_48","unstructured":"Bordoloi, U.D., and Shen, H.W. (2005, January 23\u201328). View selection for volume rendering. Proceedings of the IEEE Visualization (VIS 05), Minneapolis, MN, USA."},{"key":"ref_49","doi-asserted-by":"crossref","first-page":"441","DOI":"10.1007\/s00371-009-0326-4","article-title":"Automatic view selection through depth-based view stability analysis","volume":"25","year":"2009","journal-title":"Vis. Comput."},{"key":"ref_50","unstructured":"Taubin, G. (1995, January 20\u201323). Estimating the tensor of curvature of a surface from a polyhedral approximation. Proceedings of the IEEE International Conference on Computer Vision, Washington, DC, USA."},{"key":"ref_51","unstructured":"Sokolov, D., and Plemenos, D. (2005, January 8\u201311). Viewpoint quality and scene understanding. Proceedings of the 6th International Symposium on Virtual Reality, Archaeology and Cultural Heritage VAST, Pisa, Italy."},{"key":"ref_52","doi-asserted-by":"crossref","first-page":"467","DOI":"10.1007\/s11760-013-0449-y","article-title":"Information measures for object understanding","volume":"7","author":"Bonaventura","year":"2013","journal-title":"Signal Image Video Proc."},{"key":"ref_53","doi-asserted-by":"crossref","first-page":"675","DOI":"10.1007\/s00371-013-0805-5","article-title":"Representational image generation for 3D objects","volume":"29","author":"Serin","year":"2013","journal-title":"Vis. Comput."},{"key":"ref_54","unstructured":"(2018, March 24). A Framework for Viewpoint Selection. Available online: http:\/\/github.com\/limdor\/quoniam."},{"key":"ref_55","doi-asserted-by":"crossref","first-page":"4024","DOI":"10.1016\/j.visres.2006.07.015","article-title":"Neural evidence for intermediate representations in object recognition","volume":"46","author":"Hayworth","year":"2006","journal-title":"Vis. Res."},{"key":"ref_56","doi-asserted-by":"crossref","first-page":"480","DOI":"10.1037\/0033-295X.99.3.480","article-title":"Dynamic binding in a neural network for shape recognition","volume":"99","author":"Hummel","year":"1992","journal-title":"Psychol. Rev."},{"key":"ref_57","unstructured":"Barral, P., Dorme, G., and Plemenos, D. (2000). Scene understanding techniques using a virtual camera. Proceedings of Eurographics 2000, Short Presentations, Rendering and Visibility, Eurographics Association."},{"key":"ref_58","unstructured":"V\u00e1zquez, P.P., and Sbert, M. (2003, January 14\u201315). Automatic indoor scene exploration. Proceedings of the 6th International Conference on Computer Graphics and Artificial Intelligence (3IA), Limoges, France."},{"key":"ref_59","doi-asserted-by":"crossref","first-page":"499","DOI":"10.1111\/j.1467-8659.2004.00781.x","article-title":"Way-Finder: guided tours through complex walkthrough models","volume":"23","year":"2004","journal-title":"Comput. Graph. Forum"},{"key":"ref_60","doi-asserted-by":"crossref","first-page":"629","DOI":"10.1007\/s00371-010-0489-z","article-title":"Camera movement for chasing a subject with unknown behavior based on real-time viewpoint goodness evaluation","volume":"26","author":"Ozaki","year":"2010","journal-title":"Vis. Comput."},{"key":"ref_61","doi-asserted-by":"crossref","first-page":"1013","DOI":"10.1016\/j.cag.2012.08.006","article-title":"Automatic path generation for terrain navigation","volume":"36","author":"Serin","year":"2012","journal-title":"Comput Graph."},{"key":"ref_62","doi-asserted-by":"crossref","unstructured":"Massios, N.A., and Fisher, R.B. (1998). A Best Next View Selection Algorithm Incorporating a Quality Criterion. Proceedings of the British Machine Vision Conference, BMVA Press.","DOI":"10.5244\/C.12.78"},{"key":"ref_63","doi-asserted-by":"crossref","first-page":"101","DOI":"10.1111\/1467-8659.00447","article-title":"Automatic Camera Placement for Image-Based Modeling","volume":"19","author":"Fleishman","year":"2000","journal-title":"Comput. Graph. Forum"},{"key":"ref_64","unstructured":"Takahashi, S., Fujishiro, I., Takeshima, Y., and Nishita, T. (2005, January 23\u201328). A Feature-Driven Approach to Locating Optimal Viewpoints for Volume Visualization. Proceedings of the IEEE Visualization 2005, Minneapolis, MN, USA."},{"key":"ref_65","doi-asserted-by":"crossref","first-page":"1109","DOI":"10.1109\/TVCG.2006.137","article-title":"Dynamic View Selection for Time-Varying Volumes","volume":"12","author":"Ji","year":"2006","journal-title":"IEEE Trans. Vis. Comput. Graph."},{"key":"ref_66","doi-asserted-by":"crossref","first-page":"351","DOI":"10.1016\/j.cag.2010.01.006","article-title":"Viewpoint information channel for illustrative volume rendering","volume":"34","author":"Ruiz","year":"2010","journal-title":"Comput. Graph."},{"key":"ref_67","doi-asserted-by":"crossref","first-page":"1932","DOI":"10.1109\/TVCG.2011.173","article-title":"Automatic Transfer Functions Based on Informational Divergence","volume":"17","author":"Ruiz","year":"2011","journal-title":"IEEE Trans. Vis. Comput. Graph."},{"key":"ref_68","doi-asserted-by":"crossref","unstructured":"Itoh, M., Yokoyama, D., Toyoda, M., and Kitsuregawa, M. (2017, January 11\u201314). Optimal viewpoint finding for 3D visualization of spatio-temporal vehicle trajectories on caution crossroads detected from vehicle recorder big data. Proceedings of the 2017 IEEE International Conference on Big Data (Big Data), Boston, MA, USA.","DOI":"10.1109\/BigData.2017.8258329"},{"key":"ref_69","doi-asserted-by":"crossref","first-page":"393","DOI":"10.1109\/TVCG.2012.143","article-title":"A Unified Approach to Streamline Selection and Viewpoint Selection for 3D Flow Visualization","volume":"19","author":"Tao","year":"2013","journal-title":"IEEE Trans. Vis. Comput. Graph."},{"key":"ref_70","doi-asserted-by":"crossref","unstructured":"Lee, T.Y., Mishchenko, O., Shen, H.W., and Crawfis, R. (2011, January 1\u20134). View point evaluation and streamline filtering for flow visualization. Proceedings of the 2011 IEEE Pacific Visualization Symposium, Hong Kong, China.","DOI":"10.1109\/PACIFICVIS.2011.5742376"},{"key":"ref_71","doi-asserted-by":"crossref","first-page":"98","DOI":"10.1016\/j.cag.2005.10.022","article-title":"Realtime automatic selection of good molecular views","volume":"30","author":"Feixas","year":"2006","journal-title":"Comput. Graph."},{"key":"ref_72","doi-asserted-by":"crossref","first-page":"171","DOI":"10.1111\/cgf.12373","article-title":"Visualizing Validation of Protein Surface Classifiers","volume":"33","author":"Sarikaya","year":"2014","journal-title":"Comput. Graph. Forum"},{"key":"ref_73","unstructured":"Gonz\u00e1lez, F., Feixas, M., and Sbert, M. (2007). View-Based Shape Similarity Using Mutual Information Spheres, Eurographics Association. EG Short Papers."},{"key":"ref_74","doi-asserted-by":"crossref","first-page":"31:1","DOI":"10.1145\/2185520.2185527","article-title":"Sketch-based shape retrieval","volume":"31","author":"Eitz","year":"2012","journal-title":"TOG"},{"key":"ref_75","unstructured":"Li, B., Lu, Y., and Johan, H. (2013). Sketch-Based 3D Model Retrieval by Viewpoint Entropy-Based Adaptive View Clustering. Proceedings of the Sixth Eurographics Workshop on 3D Object Retrieval, Eurographics Association."},{"key":"ref_76","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1002\/cav.1566","article-title":"3D shape retrieval using viewpoint information-theoretic measures","volume":"26","author":"Bonaventura","year":"2015","journal-title":"Comput. Anim. Virtual Worlds"},{"key":"ref_77","unstructured":"Castell\u00f3, P., Sbert, M., Chover, M., and Feixas, M. (February, January 29). Viewpoint entropy-driven simplification. Proceedings of the 15th International Conference in Central Europe on Computer Graphics, Visualization and Computer Vision (WSCG 2007), Plzen, Czech Republic."},{"key":"ref_78","doi-asserted-by":"crossref","first-page":"2375","DOI":"10.1016\/j.ins.2008.01.011","article-title":"Viewpoint-based simplification using f-divergences","volume":"178","author":"Sbert","year":"2008","journal-title":"Inf. Sci."},{"key":"ref_79","doi-asserted-by":"crossref","first-page":"451","DOI":"10.1016\/j.cag.2008.05.005","article-title":"Viewpoint-driven simplification using mutual information","volume":"32","author":"Sbert","year":"2008","journal-title":"Comput. Graph."},{"key":"ref_80","doi-asserted-by":"crossref","first-page":"1805","DOI":"10.3390\/e13101805","article-title":"Tsallis Entropy for Geometry Simplification","volume":"13","author":"Chover","year":"2011","journal-title":"Entropy"}],"container-title":["Entropy"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1099-4300\/20\/5\/370\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T15:04:35Z","timestamp":1760195075000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1099-4300\/20\/5\/370"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,5,16]]},"references-count":80,"journal-issue":{"issue":"5","published-online":{"date-parts":[[2018,5]]}},"alternative-id":["e20050370"],"URL":"https:\/\/doi.org\/10.3390\/e20050370","relation":{},"ISSN":["1099-4300"],"issn-type":[{"value":"1099-4300","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,5,16]]}}}