{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T03:57:01Z","timestamp":1760241421364,"version":"build-2065373602"},"reference-count":36,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2018,3,21]],"date-time":"2018-03-21T00:00:00Z","timestamp":1521590400000},"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>Plants and trees are an essential part of outdoor scenes. They are represented by such a vast number of polygons that performing real-time visualization is still a problem in spite of the advantages of the hardware. Some methods have appeared to solve this drawback based on point- or image-based rendering. However, geometry representation is required in some interactive applications. This work presents a simplification method that deals with the geometry of the foliage, reducing the number of primitives that represent these objects and making their interactive visualization possible. It is based on an image-based simplification that establishes an order of leaf pruning and reduces the complexity of the canopies of trees and plants. The proposed simplification method is viewpoint-driven and uses the mutual information in order to choose the leaf to prune. Moreover, this simplification method avoids the pruned appearance of the tree that is usually produced when a foliage representation is formed by a reduced number of leaves. The error introduced every time a leaf is pruned is compensated for if the size of the nearest leaf is altered to preserve the leafy appearance of the foliage. Results demonstrate the good quality and time performance of the presented work.<\/jats:p>","DOI":"10.3390\/e20040213","type":"journal-article","created":{"date-parts":[[2018,3,22]],"date-time":"2018-03-22T05:14:55Z","timestamp":1521695695000},"page":"213","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Viewpoint-Driven Simplification of Plant and Tree Foliage"],"prefix":"10.3390","volume":"20","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2013-2839","authenticated-orcid":false,"given":"Cristina","family":"Gasch","sequence":"first","affiliation":[{"name":"Institute of New Image Technologies, Universitat Jaume I, Castell\u00f3n E-12071, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7743-2579","authenticated-orcid":false,"given":"Inmaculada","family":"Remolar","sequence":"additional","affiliation":[{"name":"Institute of New Image Technologies, Universitat Jaume I, Castell\u00f3n E-12071, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0525-7038","authenticated-orcid":false,"given":"Miguel","family":"Chover","sequence":"additional","affiliation":[{"name":"Institute of New Image Technologies, Universitat Jaume I, Castell\u00f3n E-12071, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Cristina","family":"Rebollo","sequence":"additional","affiliation":[{"name":"Institute of New Image Technologies, Universitat Jaume I, Castell\u00f3n E-12071, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2018,3,21]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"449","DOI":"10.1016\/S0097-8493(02)00088-2","article-title":"Multiresolution modeling of arbitrary polygonal surfaces: A characterization","volume":"26","author":"Ribelles","year":"2002","journal-title":"Comput. Graph."},{"key":"ref_2","unstructured":"Heckbert, P.S., and Garland, M. (1994, January 18\u201320). Multiresolution modeling for fast rendering. Proceedings of the Graphics Interface, Banff, AB, Canada."},{"key":"ref_3","unstructured":"(2018, February 02). Unity 3D. Available online: https:\/\/unity3d.com\/es."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"24","DOI":"10.1109\/38.920624","article-title":"A developer\u2019s survey of polygonal simplification algorithms","volume":"21","author":"Luebke","year":"2001","journal-title":"IEEE Comput. Graph. Appl."},{"key":"ref_5","unstructured":"Deussen, O., Colditz, C., Stamminger, M., and Drettakis, G. (November, January 27). Interactive visualization of complex plant ecosystems. Proceedings of the IEEE Visualization, Boston, MA, USA."},{"key":"ref_6","unstructured":"Remolar, I., Chover, M., Belmonte, O., Ribelles, J., and Rebollo, C. (2002). Geometric simplification of foliage. Eurographics 2002 Short Presentations, Eurographics Association."},{"key":"ref_7","unstructured":"Hu, B., and Jaeger, M. (2003). Progressive polygon foliage simplification. Proceedings of the International Symposium on Plant Growth Modeling, Simulation, Visualization and Their Applications 2003-PMA\u201903, Beijing, China, 13\u201316 October 2003, Tsinghua University Press."},{"key":"ref_8","unstructured":"Cook, R.L., and Halstead, J. (2005, January 1). Stochastic pruning. Proceedings of the Eurographics Workshop on Natural Phenomena, Dublin, Ireland."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"79","DOI":"10.1145\/1276377.1276476","article-title":"Stochastic simplification of aggregate detail","volume":"26","author":"Cook","year":"2007","journal-title":"ACM Trans. Graph."},{"key":"ref_10","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_11","unstructured":"Myskowski, K., and Gortler, S. (2001, January 25\u201327). Interactive sampling and rendering for complex and procedural geometry. Proceedings of the Eurographics Workshop on Rendering, London, UK."},{"key":"ref_12","unstructured":"Galin, E., and Poulin, P. Point-based rendering of trees. Proceedings of the First Eurographics Workshop on Natural Phenomena."},{"key":"ref_13","unstructured":"De Sousa, A., and Torres, J.C. (2000). Interactive vegetation rendering with slicing and blending. Eurographics 2000 Short Papers, The Eurographics Association."},{"key":"ref_14","unstructured":"Fuhrmann, A.L., Umlauf, E., and Mantler, S. (2005). Extreme model simplification for forest rendering. Proceedings of the First Eurographics Conference on Natural Phenomena, Dublin, Ireland, 30 August 2005, The Eurographics Association."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"2079","DOI":"10.1111\/j.1467-8659.2009.01354.x","article-title":"Volumetric billboards","volume":"28","author":"Decaudin","year":"2009","journal-title":"Comput. Graph. Forum."},{"key":"ref_16","doi-asserted-by":"crossref","unstructured":"Zhang, X.P., Blaise, F., and Jaeger, M. (2006). Multiresolution plant models with complex organs. Proceedings of the 2006 ACM International Conference on Virtual Reality Continuum and Its Applications, Hong Kong, China, 14\u201317 June 2006, ACM Press\/Addison-Wesley Publishing Co.","DOI":"10.1145\/1128923.1128980"},{"key":"ref_17","first-page":"1","article-title":"Multiresolution foliage for forest rendering","volume":"22","author":"Deng","year":"2009","journal-title":"Comput. Anim. Virtual Worlds"},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Bao, G.B., Li, H.J., Zhang, X.P., Che, W.J., and Jaeger, M. (2011, January 19\u201320). Realistic real-time rendering for large-scale forest scenes. Proceedings of the IEEE International Symposium on VR Innovation, Singapore.","DOI":"10.1109\/ISVRI.2011.5759637"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"1708","DOI":"10.1111\/j.1467-8659.2011.01897.x","article-title":"Improved model and view-dependent pruning of large botanical scenes","volume":"30","author":"Neubert","year":"2011","journal-title":"Comput. Graph. Forum"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"364","DOI":"10.1016\/j.cag.2010.11.014","article-title":"View-dependent pruning for real-time rendering of trees","volume":"35","author":"Gumbau","year":"2011","journal-title":"Comput. Graph."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"204","DOI":"10.1145\/353981.353995","article-title":"Image-driven simplification","volume":"19","author":"Lindstrom","year":"2000","journal-title":"ACM Trans. Graph."},{"key":"ref_22","first-page":"267","article-title":"Visibility-guided simplification","volume":"31","author":"Zhang","year":"2002","journal-title":"IEEE Comput. Vis."},{"key":"ref_23","doi-asserted-by":"crossref","unstructured":"Garland, M., and Heckbert, P.S. (1997, January 3\u20138). Surface simplification using quadric error metrics. Proceedings of the 24th Annual Conference on Computer Graphics and Interactive Techniques, Los Angeles, CA, USA.","DOI":"10.1145\/258734.258849"},{"key":"ref_24","doi-asserted-by":"crossref","unstructured":"Lee, J., Peng, J., and Kuo, J. (2007, January 2\u20135). View-dependent visibility estimation for tree models. Proceedings of the IEEE International Conference on Multimedia and Expo, Beijing, China.","DOI":"10.1109\/ICME.2007.4285006"},{"key":"ref_25","doi-asserted-by":"crossref","unstructured":"Lee, J., and Kuo, J. (2008, January 15\u201317). Fast and flexible tree rendering with enhanced visibility estimation. Proceedings of the Tenth IEEE International Symposium on Multimedia, Berkeley, CA, USA.","DOI":"10.1109\/ISM.2008.23"},{"key":"ref_26","unstructured":"Lee, J., Kuo, J., and Kuo, C. (July, January 28). Enhanced 3D tree model simplification and perceptual analysis. Proceedings of the IEEE International Conference on Multimedia and Expo, New York, NY, USA."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"933","DOI":"10.1109\/TVCG.2006.152","article-title":"Importance-driven focus of attention","volume":"5","author":"Viola","year":"2006","journal-title":"IEEE Trans. Vis. Comput. Graph."},{"key":"ref_28","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_29","unstructured":"V\u00e1zquez, P.P., Feixas, M., Sbert, M., and Heidrich, W. (2001). Viewpoint selection using viewpoint entropy. Proceedings of the Vision Modeling and Visualization Conference, Stuttgart, Germany, 21\u201323 November 2001, Aka GmbH."},{"key":"ref_30","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 application to image-based modelling","volume":"22","author":"Feixas","year":"2003","journal-title":"Comput. Graph. Forum"},{"key":"ref_31","doi-asserted-by":"crossref","unstructured":"Neumann, L., Sbert, M., Gooch, B., and Purgathofer, W. (2005). Viewpoint quality: Measures and applications. Proceedings of the Eurographics Workshop on Computational Aesthetics in Graphics, Visualization and Imaging 2005, Girona, Spain, 18\u201320 May 2005, The Eurographics Association.","DOI":"10.1111\/j.1467-8659.2006.00928.x"},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"1655","DOI":"10.4304\/jsw.9.7.1655-1665","article-title":"Foliage simplification based on multi-viewpoints for efficient rendering","volume":"9","author":"Zhang","year":"2014","journal-title":"J. Softw."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"1007","DOI":"10.1166\/jctn.2014.3457","article-title":"Multi-resolution foliage faithful to the visual and botanic concepts","volume":"11","author":"Zhu","year":"2014","journal-title":"J. Comput. Theor. Nanosci."},{"key":"ref_34","doi-asserted-by":"crossref","unstructured":"Rigau, J., Feixas, M., and Sbert, M. (2005). Shape complexity based on mutual information. Proceedings of the International Conference on Shape Modeling and Applications, Cambridge, MA, USA, 13\u201317 June 2005, IEEE Computer Society.","DOI":"10.1109\/SMI.2005.42"},{"key":"ref_35","unstructured":"(2018, January 10). Xfrog: Xfrog Plants. Available online: http:\/\/xfrog.com\/category\/xfrogplants.html."},{"key":"ref_36","unstructured":"(2018, February 05). Speedtree: 3D Vegetation Modeling and Middleware. Available online: https:\/\/store.speedtree.com."}],"container-title":["Entropy"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1099-4300\/20\/4\/213\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T14:57:58Z","timestamp":1760194678000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1099-4300\/20\/4\/213"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,3,21]]},"references-count":36,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2018,4]]}},"alternative-id":["e20040213"],"URL":"https:\/\/doi.org\/10.3390\/e20040213","relation":{},"ISSN":["1099-4300"],"issn-type":[{"type":"electronic","value":"1099-4300"}],"subject":[],"published":{"date-parts":[[2018,3,21]]}}}