{"id":92,"date":"2012-03-31T19:03:22","date_gmt":"2012-03-31T18:03:22","guid":{"rendered":"http:\/\/llati.upc.es\/verablog\/?page_id=92"},"modified":"2023-05-02T08:30:57","modified_gmt":"2023-05-02T07:30:57","slug":"pub","status":"publish","type":"page","link":"https:\/\/dccg.upc.edu\/people\/vera\/research\/pub\/","title":{"rendered":"Research publications"},"content":{"rendered":"<p>G. Esteban, D. Halperin, V. Ru\u00edz, V. Sacrist\u00e1n and R.I. Silveira<br \/>\n<strong>Shortest coordinated motion for a pair of square robots<\/strong><br \/>\nIn: <em>Abstracts 39th Spanish Meeting on Computational Geometry<\/em>, Barcelona (Spain), March 29-31, pp. 21:1-21:8, 2023. <a href=\"https:\/\/dccg.upc.edu\/eurocg23\/wp-content\/uploads\/2023\/04\/Booklet_EuroCG2023.pdf\">Link<\/a><br \/>\nPreliminary version: D. Halperin, V. Ruiz, V. Sacrist\u00e1n, R. Silveira, Optimal coordinate motions for two squares<strong>, <\/strong><em>Abstracts of the XVIII Spanish Meeting on Computational Geometry<\/em>, Girona (Spain), July 1-3, p. 65, 2019. <a href=\"http:\/\/imae.udg.edu\/egc2019\/doc\/BookAbstractsEGC2019.pdf\">Link<\/a><\/p>\n<hr noshade=\"noshade\" \/>\n<p>H. A. Akitaya, E. M. Arkin, M. Damian, E. D. Demaine, V. Dujmovi\u0107, R. Flatland, I. Parada, B. Palop, A. van Renssen, V. Sacrist\u00e1n<br \/>\n<strong>Universal Reconfiguration of Facet-Connected Modular Robots by Pivots: The O(1) Musketeers<\/strong><br \/>\n<em>Algorithmica, Vol. <\/em>83(5), pp: 1316\u20131351, 2021. <a href=\"https:\/\/doi.org\/10.1007\/s00453-020-00784-6\">Link<\/a><br \/>\nPreliminary version: <em>27th Annual European Symposium on Algorithms<\/em>, Munich (Germany), September 9-11, pp: 3:1-3:14, 2019. doi: 10.4230\/LIPIcs.ESA.2019.3. <a href=\"http:\/\/dx.doi.org\/10.4230\/LIPIcs.ESA.2019.3\">Link<\/a><br \/>\nPreliminary abstract: Reconfiguring edge-connected pivoting modular robots, in <em>Abstracts of the XVIII Spanish Meeting on Computational Geometry<\/em>, Girona (Spain), July 1-3, p. 64, 2019. <a href=\"http:\/\/imae.udg.edu\/egc2019\/doc\/BookAbstractsEGC2019.pdf\">Link<\/a><\/p>\n<hr noshade=\"noshade\" \/>\n<p>I. Parada, V. Sacrist\u00e1n, R. Silveira<br \/>\n<strong>A New Meta-Module for Efficient Reconfiguration of Modular Robots<\/strong><br \/>\n<em>Autonomous Robots<\/em>, 2021. <a href=\"http:\/\/link.springer.com\/article\/10.1007\/s10514-021-09977-6\">Link<\/a><br \/>\nPreliminary version: A New Meta-Module for Efficient Reconfiguration of Hinged-Units Modular Robots, in <em>Proceedings IEEE International Conference on Robotics and Automation<\/em>, Stockholm (Sweden), May 16-21, pp. 5197 &#8211; 5202, 2016. <a href=\"http:\/\/ieeexplore.ieee.org\/xpl\/articleDetails.jsp?arnumber=7487726&amp;newsearch=true&amp;queryText=A%20new%20meta-module%20for%20efficient%20reconfiguration%20of%20hinged-units%20modular%20robots\" target=\"_blank\" rel=\"noopener noreferrer\">Link<\/a><br \/>\nPreliminary extended abstract: A new meta-module for efficient robot reconfiguration, in <em>Abstracts XVI Spanish Meeting on Computational Geometry<\/em>, Barcelona (Spain), July 1-3, pp. 53-56, 2015. <a href=\"https:\/\/dccg.upc.edu\/egc15\/en\/wp-content\/uploads\/2013\/10\/AbstractsXVIEGC.pdf\">PDF<\/a><\/p>\n<hr noshade=\"noshade\" \/>\n<p>H. Akitaya, E.D. Demaine, A. Gonczi, D. Hendrickson, A. Hesterberg, M. Korman, O. Korten, J. Lynch, I. Parada and V. Sacrist\u00e1n<br \/>\n<strong>Characterizing Universal Reconfigurability of Modular Pivoting Robots<\/strong><br \/>\n<em><cite class=\"data tts-content\"> 37th International Symposium on Computational Geometry (SoCG 2021), pp: 10:1-10:20<\/cite>, 2021. <a href=\"https:\/\/doi.org\/10.4230\/LIPIcs.SoCG.2021.10\">Link<\/a><br \/>\n<\/em>Preliminary version in: <em>Abstracts of the 37th European Workshop on Computational Geometry, <\/em>St. Petesburg (Russia), April 7-9, pp: 56:1-56:7, 2021. Link<\/p>\n<hr noshade=\"noshade\" \/>\n<p>I. Mantas, E. Papadopoulou, V. Sacrist\u00e1n and R.I. Silveira<br \/>\n<strong>Farthest Color Voronoi Diagrams: Complexity and Algorithms<\/strong><br \/>\nIn: Kohayakawa Y., Miyazawa F.K. (eds) <em>LATIN 2020: Theoretical Informatics. LATIN 2021<\/em>. LNCS, vol 12118, pp. 283-295, 2020. <a href=\"https:\/\/doi.org\/10.1007\/978-3-030-61792-9_23\">Link<\/a><\/p>\n<hr noshade=\"noshade\" \/>\n<p>J. Moreno and V. Sacrist\u00e1n<br \/>\n<strong>Reconfiguring sliding squares in-place by flooding<\/strong><br \/>\n<em>36th European Workshop on Computational Geometry<\/em>, W\u00fcrzburg (Germany), March 16-18, pp: 32:1-32:7, 2020. <a href=\"http:\/\/www1.pub.informatik.uni-wuerzburg.de\/eurocg2020\/data\/uploads\/papers\/eurocg20_paper_32.pdf\">Link<\/a><\/p>\n<hr noshade=\"noshade\" \/>\n<p>D. Duran, V. Sacrist\u00e1n, R.I. Silveira<br \/>\n<strong>Map construction algorithms: a local evaluation through hiking data<br \/>\n<\/strong><em>GeoInformatica<\/em>, Vol. 24, pp: 633-681, 2020. <a href=\"http:\/\/link.springer.com\/article\/10.1007\/s10707-019-00386-7\">Link<\/a><\/p>\n<hr noshade=\"noshade\" \/>\n<p>C. Binucci, E. Di Giacomo, S-H. Hong, G. Liotta, H. Meijer, V. Sacrist\u00e1n, S. Wismath<br \/>\n<strong>Colored Anchored Visibility Representations in 2D and 3D space<br \/>\n<\/strong><em>Computational Geometry &#8211; Theory and Applications<\/em>, Vol. 89, 2020. <a href=\"https:\/\/doi.org\/10.1016\/j.comgeo.2019.101592\">Link<\/a><\/p>\n<hr noshade=\"noshade\" \/>\n<p>V. Sacrist\u00e1n<br \/>\n<strong>Computational Geometry has a role to play in controlling modular robotic systems<br \/>\n<\/strong>Invited plenary talk at the <em>35th European Workshop on Computational Geometry<\/em>, Utrecht (The Netherlands), March 18-20, pp. 14-152019<\/p>\n<hr noshade=\"noshade\" \/>\n<p>I. Mantas, E. Papadopoulou, V. Sacrist\u00e1n, R. Silveira<br \/>\n<strong>Linear-size farthest color Voronoi diagrams: conditions and and algorithms<br \/>\n<\/strong><em>Abstracts of the 35th European Workshop on Computational Geometry<\/em>, Utrecht (The Netherlands), March 18-20, pp. 12:1-12:7, 2019. <a href=\"http:\/\/www.eurocg2019.uu.nl\/papers\/12.pdf\">Link<\/a><\/p>\n<hr noshade=\"noshade\" \/>\n<p>J. Cardinal, V. Sacrist\u00e1n, R. I. Silveira<br \/>\n<strong>A Note on Flips in Diagonal Rectangulations <\/strong><br \/>\n<em>Discrete Mathematics &amp; Theoretical Computer Science<\/em>, Volume 20, N.2, pp:1-22, 2018. doi: 10.23638\/DMTCS-20-2-14. <a href=\"https:\/\/dmtcs.episciences.org\/4943\">Link<\/a><br \/>\nExtended abstract in <em>Abstracts of the 34th European Workshop on Computational Geometry<\/em>, Berlin (Germany), March 20-23, pp. 46:1-46:6, 2018. <a href=\"https:\/\/conference.imp.fu-berlin.de\/eurocg18\/download\/paper_46.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">Link<\/a><br \/>\narXiv:1712.07919 [math.CO], 2017. <a href=\"https:\/\/arxiv.org\/abs\/1712.07919\" target=\"_blank\" rel=\"noopener noreferrer\">Link<\/a><\/p>\n<hr noshade=\"noshade\" \/>\n<p>F. Hurtado, M. Korman, M. van Kreveld, M. L\u00f6ffler, V. Sacrist\u00e1n, A. Shioura, R. Silveira, B. Speckmann, T. Tokuyama<br \/>\n<strong>Colored Spanning Graphs for Set Visualization<\/strong><br \/>\n<em>Computational Geometry &#8211; Theory and Applications<\/em>, Volume 68, pp. 262-276, 2018. doi: 10.1016\/j.comgeo.2017.06.006. <a href=\"http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0925772117300585\" target=\"_blank\" rel=\"noopener noreferrer\">Link<\/a><br \/>\nPreliminary version: F. Hurtado, M. Korman, M. van Kreveld, M. L\u00f6ffler, V. Sacrist\u00e1n, R. Silveira, B. Speckmann, Colored Spanning Graphs for Set Visualization, <em>Proc. 21st International Symposium on Graph Drawing<\/em>, Bordeaux (France), September 23-25, Springer-Verlag LNCS 8242, pp. 283-294, 2013. <a href=\"http:\/\/link.springer.com\/chapter\/10.1007\/978-3-319-03841-4_25\" target=\"_blank\" rel=\"noopener noreferrer\">PDF<\/a><\/p>\n<hr noshade=\"noshade\" \/>\n<p>J. Gudmundsson, I. Kostitsyna, M. L\u00f6ffler, T. M\u00fcller, V. Sacrist\u00e1n, R. I. Silveira<br \/>\n<strong>Theoretical analysis of beaconless geocast protocols in 1D<\/strong><br \/>\n<em>Proc. Fifteenth Workshop on Analytic Algorithmics and Combinatorics (ANALCO)<\/em>, New Orleans (USA), January 8-9, pp. 62-76, 2018. doi:\u00a010.1137\/1.9781611975062.7. <a href=\"https:\/\/doi.org\/10.1137\/1.9781611975062.7\" target=\"_blank\" rel=\"noopener noreferrer\">Link<\/a><br \/>\nPresliminary abstract:\u00a0J. Gudmundsson, I. Kostitsyna, M. L\u00f6ffler, T. M\u00fcller, V. Sacrist\u00e1n, R. I. Silveira, Beaconless geocast protocols are interesting, even in 1D.<br \/>\n<em>Abstracts of the 32nd European Workshop on Computational Geometry<\/em>, Lugano (Switzerland), March 30 &#8211; April 1, pp. 227-230, 2016. <a href=\"http:\/\/www.eurocg2016.usi.ch\/sites\/default\/files\/paper_73.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">PDF<\/a><\/p>\n<hr noshade=\"noshade\" \/>\n<p>K. Buchin, M. Buchin, D. Duran, B. T. Fasy, R. Jacobs, V. Sacrist\u00e1n, R. I. Silveira, F. Staals, C. Wenk<br \/>\n<strong>Clustering Trajectories for Map Construction<\/strong><br \/>\n<em>Proc. 25th ACM SIGSPATIAL International Conference on Advances in Geographic Information Systems<\/em>, Redondo Beach, CA (USA), November 07-10, pp. 14:1-14:10, 2017. doi: 10.1145\/3139958.3139964. <a href=\"http:\/\/doi.acm.org\/10.1145\/3139958.3139964\" target=\"_blank\" rel=\"noopener noreferrer\">Link<\/a><\/p>\n<hr noshade=\"noshade\" \/>\n<p>E. Tello, I. Marco, R. Padr\u00f3, J. Caravaca, L. G\u00f3mez, C. Cattaneo, J. Marull, F. Coll, R. Garrabou, X. Cuss\u00f3, V. Sacrist\u00e1n, C. Font, E. Gal\u00e1n, J. R. Olarieta<br \/>\n<strong>Sinergies entre fluxos d&#8217;energia i de materials agraris, i l&#8217;estat ecol\u00f2gic del territori: l&#8217;exemple del Vall\u00e8s (1860-1999)<\/strong><br \/>\nIn I. Cuadros, O. Fort, dirs., <em>Recursos i territori: perspectiva hist\u00f2rica i nous equilibris<\/em>, Cosset\u00e0nia Ed., ISBN 978-84-9034-670-9, pp. 13-37, 2017. <a href=\"https:\/\/iermb.uab.cat\/es\/altrepublicacion\/sinergies-entre-fluxos-denergia-i-de-materials-agraris-i-lestat-ecologic-del-territori-lexemple-del-valles-1860-1999-recursos-i-territori-perspectiva-historica-i-nous-equilibris-actes-de-2\/\">Link<\/a><\/p>\n<hr noshade=\"noshade\" \/>\n<p>V. Sacrist\u00e1n<br \/>\n<strong>Geometric Algorithms for lattice-based modular robots<br \/>\n<\/strong>Invited plenary talk at the<em> Japan Conference on Discrete and Computational Geometry, Graphs and Games<\/em>, pp. 14-15, 2016. <a href=\"http:\/\/www.jcdcgg.u-tokai.ac.jp\/JCDCG3_2016_abstracts.pdf\">Link<\/a><\/p>\n<hr noshade=\"noshade\" \/>\n<p>D. Duran, V. Sacrist\u00e1n, R. Silveira<br \/>\n<strong>Map construction algorithms: an evaluation through hiking data<\/strong><br \/>\n<em>Proceedings of the 5th ACM SIGSPATIAL International Workshop on Mobile Geographic Information Systems<\/em>, S. Francisco (USA), October 31, pp. 74-83, 2016. <a href=\"http:\/\/dl.acm.org\/citation.cfm?id=3004734\" target=\"_blank\" rel=\"noopener noreferrer\">Link<\/a><\/p>\n<hr noshade=\"noshade\" \/>\n<p>E. Galan, R. Padr\u00f3, I. Marco, E. Tello, G. Cunfer, G. I. Guzm\u00e1n, M. Gonz\u00e1lez de Molina, F. Krausmann, S. Gingrich, V. Sacrist\u00e1n, D. Moreno<br \/>\n<strong>Widening the analysis of Energy Return On Investment (EROI) in agroecosystems: A proposal to study socio-ecological transitions to industrialized farm systems (the Vall\u00e8s County, Catalonia, c.1860 and 1999)<\/strong><br \/>\n<em>Ecological Modelling<\/em>, Volume 336, pp. 13-25, 2016. <a href=\"http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0304380016301922\" target=\"_blank\" rel=\"noopener noreferrer\">Link<\/a> <a href=\"https:\/\/dccg.upc.edu\/people\/vera\/wp-content\/uploads\/2012\/03\/ECOMOD_author_postprint.pdf\">PDF<\/a><\/p>\n<hr noshade=\"noshade\" \/>\n<p>E. Tello, E. Gal\u00e1n, V. Sacrist\u00e1n, G. Cunfer, G.I. Guzm\u00e1n-Casado, M. Gonz\u00e1lez de Molina, F. Krausmann, S. Gingrich, R. Padr\u00f3, I. Marco, D. Moreno-Delgado<br \/>\n<strong>Opening the black box of energy throughputs in agroecosystems: a decomposition analysis of final EROI into its internal and external returns (the Vall\u00e8s County, Catalonia, c.1860 and 1999)<\/strong><br \/>\n<em>Ecological Economics,<\/em> Volume 121, pp. 160-174, 2016. <a href=\"http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0921800915004449\" target=\"_blank\" rel=\"noopener noreferrer\">Link<\/a><\/p>\n<hr noshade=\"noshade\" \/>\n<p>E. Tello, E. Gal\u00e1n, G. Cunfer, G.I. Guzm\u00e1n-Casado, M. Gonz\u00e1lez de Molina, F. Krausmann, S. Gingrich, V. Sacrist\u00e1n, I. Marco, R. Padr\u00f3, D. Moreno-Delgado<br \/>\n<strong>A proposal for a workable analysis of Energy Return on Investment (EROI) in agroecosystems. Part I: Analytical approach<\/strong><br \/>\n<em>IFF Social Ecology Working Papers<\/em> 156, Vienna, 2015. <a href=\"https:\/\/upcommons.upc.edu\/handle\/2117\/77586\">Link<\/a><\/p>\n<hr noshade=\"noshade\" \/>\n<p>M. Perera, V. Sacrist\u00e1n<br \/>\n<strong>Efficient distributed and parallel reconfiguration of expand-contract modular robots<\/strong><br \/>\n<em>Abstracts XVI Spanish Meeting on Computational Geometry<\/em>, Barcelona (Spain), July 1-3, pp. 49-52, 2015. <a href=\"https:\/\/dccg.upc.edu\/egc15\/en\/wp-content\/uploads\/2013\/10\/AbstractsXVIEGC.pdf\">Link<\/a><\/p>\n<hr noshade=\"noshade\" \/>\n<p>O. Aichholzer, T. Hackl, A.Pilz, P. A. Ramos, V. Sacrist\u00e1n, B. Vogtenhuber<br \/>\n<strong>Empty triangles in good drawings of the complete graph<\/strong><br \/>\n<em>Graphs and Combinatorics<\/em>, Volume 31, Issue 2, pp. 335-345, 2015. <a href=\"http:\/\/link.springer.com\/article\/10.1007%2Fs00373-015-1550-5\" target=\"_blank\" rel=\"noopener noreferrer\">Link<\/a><br \/>\nExtended abstract in <em>Proc. 21st Mexican Conference on Discrete Mathematics and Computational Geometry<\/em>, Oaxaca (M\u00e9xico), November 11-15, pp. 21-29, 2013. Preliminary version: <a href=\"http:\/\/arxiv.org\/abs\/1306.5081\">arXiv:1306.5081 [cs.CG]<\/a><\/p>\n<hr noshade=\"noshade\" \/>\n<p>F. Hurtado, E. Molina, S. Ramaswami, V. Sacrist\u00e1n<br \/>\n<strong>Distributed reconfiguration of 2D lattice-based modular robotic systems<\/strong><br \/>\n<em>Autonomous Robots<\/em>, Volume 38, Issue 4, pp. 383-413, 2015. <a href=\"http:\/\/link.springer.com\/article\/10.1007\/s10514-015-9421-8\" target=\"_blank\" rel=\"noopener noreferrer\">Link<\/a><br \/>\nExtended abstract: Distributed universal reconfiguration of 2D lattice-based modular robots. <em>Proc. 29th European Workshop on Computational Geometry, <\/em> Braunschweig, Germany, March 18-20, pp. 139-142, 2013. <a href=\"https:\/\/dccg.upc.edu\/people\/vera\/wp-content\/uploads\/2012\/03\/Reconfig-EuroCG-2013_published.pdf\">PDF<\/a><br \/>\n<a href=\"https:\/\/dccg.upc.edu\/people\/vera\/local-reconfiguration\/\">Go to the distributed 2D reconfiguration page<\/a><\/p>\n<p>V. Sacrist\u00e1n<br \/>\n<strong>Controlling modular robotic systems: some ideas from Computational Geometry<\/strong><br \/>\nO. Cheong, J. Erickson, M. Teillaud, Computational Geometry (Dagstuhl Seminar 15111), <em>Dagstuhl Reports<\/em>, Volume 5, Issue 3, p. 53, 2015. <a href=\"http:\/\/dx.doi.org\/10.4230\/DagRep.5.3.41\" target=\"_blank\" rel=\"noopener noreferrer\">Link<\/a> &#8211; <a href=\"http:\/\/materials.dagstuhl.de\/files\/15\/15111\/15111.VeraSacristan%20Adinolfi.Slides.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">Slides<\/a><\/p>\n<hr noshade=\"noshade\" \/>\n<p>F. Hurtado, M. L\u00f6ffler, I. P. Matos, V. Sacrist\u00e1n, M. Saumell, R. Silveira, F. Staals<br \/>\n<strong>Terrain visibility with multiple viewpoints<\/strong><br \/>\n<em>International Journal of Computational Geometry and Applications<\/em>, Volume 14, Issue 4, 2014. <a href=\"http:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218195914600085\">Link<\/a><br \/>\nPreliminary version in <em>Proc. 24th International Symposium on Algorithms and Computation (ISAAC 2013)<\/em>, Hong Kong, December 16-18, Springer-Verlag LNCS 8283, pp. 317-327, 2013. <a href=\"http:\/\/link.springer.com\/chapter\/10.1007\/978-3-642-45030-3_30\" target=\"_blank\" rel=\"noopener noreferrer\">PDF<\/a>. Full version: <a href=\"http:\/\/arxiv.org\/abs\/1309.4323\" target=\"_blank\" rel=\"noopener noreferrer\">arXiv:1309.4323 [cs.CG]<\/a><\/p>\n<hr noshade=\"noshade\" \/>\n<p>O. Aichholzer, T. Hackl, V. Sacrist\u00e1n, B. Vogtenhuber, R. Wallner<br \/>\n<strong>Simulating distributed algorithms for lattice agents<\/strong><br \/>\n<em>Proc. 15th Spanish Meeting on Computational Geometry<\/em>, Sevilla, June 26-28, pp. 81-84, 2013. <a href=\"https:\/\/dccg.upc.edu\/people\/vera\/wp-content\/uploads\/2012\/03\/EGC2013_AgentSystem.pdf\">PDF<\/a><br \/>\n<a href=\"https:\/\/dccg.upc.edu\/people\/vera\/AgentSystems\/\">Go to the simulators page<\/a><\/p>\n<hr noshade=\"noshade\" \/>\n<p>B. Brallinger, N. Benbernou, P. Bose, M. Damian, E. D. Demaine, V. Dumivic, R. Flatland, F. Hurtado, J. Iacono, A. Lubiw, P. Morin, V. Sacrist\u00e1n, D. Souvaine, R. Uehara<br \/>\n<strong>Coverage with <em>k<\/em>-Transmitters in the Presence of Obstacles<\/strong><br \/>\n<em>Journal of Combinatorial Optimization, <\/em>Vol. 25, N. 2, pp. 208-233, 2013. <a href=\"http:\/\/link.springer.com\/article\/10.1007%2Fs10878-012-9475-x\">PDF<\/a><br \/>\nPreliminary version in <em>Proc. 4th Annual International Conference on Combinatorial Optimization and Applications<\/em>, LNCS 6509, pp.1-15<em>, <\/em>Hawaii, December 18-20, 2010. <a href=\"http:\/\/dx.doi.org\/10.1007\/978-3-642-17461-2_1\">PDF<\/a><\/p>\n<hr noshade=\"noshade\" width=\"100%\" \/>\n<p>B. M. \u00c1brego, R. Fabila-Monroy, S. Fern\u00e1ndez-Merchant, D. Flores-Pe\u00f1aloza, F. Hurtado, H. Meijer, V. Sacrist\u00e1n, M. Saumell<br \/>\n<strong>Proximity Graphs inside Large Weighted Graphs<\/strong><br \/>\n<em>Networks<\/em>, Vol. 61, N. 1, pp. 29-39,\u00a0 2013. <a href=\"http:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/net.21464\/pdf\">PDF<\/a><br \/>\nPreliminary version in <em>Proc. 26th European Workshop on Computational Geometry (EuroCG&#8217;10)<\/em>, pp. 9-12, 2010. <a href=\"https:\/\/dccg.upc.edu\/people\/vera\/wp-content\/uploads\/2012\/03\/ProxGrInsGrEuroCG10.pdf\">PDF<\/a><\/p>\n<hr noshade=\"noshade\" \/>\n<p>R. Chalmeta, F. Hurtado, V. Sacrist\u00e1n, M. Saumell<br \/>\n<strong>Measuring regularity of convex polygons<\/strong><br \/>\n<em>Computer-Aided Design, <\/em> Vol. 45, pp. 93\u2013104, 2013. <a title=\"PDF\" href=\"http:\/\/dx.doi.org\/10.1016\/j.cad.2012.07.012\" target=\"_blank\" rel=\"noopener noreferrer\">PDF<\/a><br \/>\n<a href=\"https:\/\/dccg.upc.edu\/people\/vera\/TFM-TFG\/RegMeas\/\">Go to the regularity measures web page<\/a><br \/>\nPreliminary partial abstract: R. Chalmeta, V. Sacrist\u00e1n, M. Saumell, Measuring regularity of convex polygons: experimental results, <em>Proc. XIV Spanish Meeting on Computational Geometry, <\/em> Alcal\u00e1 de Henares (Spain), June 27-30, pp. 71-74, 2011. <a href=\"http:\/\/www2.uah.es\/egc2011\/files\/ActasEGC2011.pdf\">PDF<\/a><br \/>\nPreliminary partial abstract: F. Hurtado, M. Saumell, V. Sacrist\u00e1n, Some regularity measures for convex polygons, <em>Proc. 25th European Workshop in Computational Geometry<\/em>, pp. 125-129, 2009. <a href=\"http:\/\/2009.eurocg.org\/abstracts.pdf\">PDF<\/a> (preliminary version in <em>Proc. VI Jornadas de Matem\u00e1tica Discreta y Algor\u00edtmica<\/em>, pp. 401-408, 2008 <a href=\"http:\/\/www.jmda2008.udl.cat\/fitxers\/actasVIjmda.zip\">PDF<\/a>).<\/p>\n<hr noshade=\"noshade\" width=\"100%\" \/>\n<p>P. Bose, S. Collette, F. Hurtado, M. Korman, S. Langerman, V. Sacrist\u00e1n, M. Saumell<br \/>\n<strong>Some properties of <em>k<\/em>-Delaunay and <em>k<\/em>-Gabriel graphs<\/strong><br \/>\n<em>Computational Geometry &#8211; Theory and Applications, <\/em> Vol. 46, N. 2, pp. 131\u2013139, 2013. <a title=\"PDF\" href=\"http:\/\/dx.doi.org\/10.1016\/j.comgeo.2012.04.006\" target=\"_blank\" rel=\"noopener noreferrer\">PDF<\/a><br \/>\nPreliminary version: Some Properties of Higher order Delaunay and Gabriel Graphs, <em>Proc. 22nd Canadian Conference on Computational Geometry (CCCG&#8217;10)<\/em>, pp. 13-16, 2010. <a href=\"http:\/\/cccg.ca\/proceedings\/2010\/paper06.pdf\">PDF<\/a><\/p>\n<hr noshade=\"noshade\" width=\"100%\" \/>\n<p>M. Abellanas, M. Claverol, G. Hern\u00e1ndez-Pe\u00f1alver, F. Hurtado, V. Sacrist\u00e1n, M. Saumell, R. I. Silveira<br \/>\n<strong>Improving shortest paths in the Delaunay triangulation<\/strong><br \/>\n<em>International Journal of Computational Geometry and Applications<\/em>, Vol. 22, N. 6, pp. 559-576, 2012. <a href=\"http:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218195912500161\">PDF<\/a><br \/>\nPreliminary version in <em>Proc. 27th European Workshop on Computational Geometry, <\/em> Morschach, Switzerland, March 28-30, pp. 43-46, 2011. <a href=\"http:\/\/eurocg11.inf.ethz.ch\/abstracts\/12.pdf\">PDF<\/a><br \/>\nExtended abstract in <em>Proc. XIV Spanish Meeting on Computational Geometry<\/em>, Alcal\u00e1 de Henares, Spain, June 27-30, pp. 117-120, 2011. <a href=\"http:\/\/www2.uah.es\/egc2011\/files\/ActasEGC2011.pdf\">PDF<\/a><\/p>\n<hr noshade=\"noshade\" width=\"100%\" \/>\n<p>P. Bose, V. Dujmovi\u0107, F. Hurtado, J. Iacono, S. Langerman, H. Meijer, V. Sacrist\u00e1n, M. Saumell, D. R. Wood<br \/>\n<strong>Proximity graphs: E, \u03b4, \u0394, \u03c7 and \u03c9<\/strong><br \/>\n<em>International Journal of Computational Geometry and Applications<\/em>, Vol. 22, N. 5, pp. 439\u2013469, 2012. <a href=\"http:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218195912500112 \">PDF<\/a><br \/>\nPreliminary version: <em>Proc. 28th European Workshop in Computational Geometry<\/em>, pp. 217-220, 2012. <a href=\"http:\/\/www.diei.unipg.it\/eurocg2012\/booklet.pdf\">PDF<\/a><\/p>\n<hr noshade=\"noshade\" width=\"100%\" \/>\n<p>M. Buchin, A. Driemel, M. van Kreveld, V. Sacrist\u00e1n<br \/>\n<strong>Segmenting trajectories: A framework and algorithms using spatiotemporal criteria<\/strong><br \/>\n<em>Journal of Spatial Information Science<\/em>, Vol. 3, pp. 33-63, 2011. <a href=\"http:\/\/www.josis.org\/index.php\/josis\/article\/viewFile\/66\/61\">PDF<\/a><br \/>\nPreliminary partial version: An Algorithmic Framework for Segmenting Trajectories based on Spatio-Temporal Criteria, <em>Proc. 18th ACM SIGSPATIAL International Conference on Advances in Geographic Information Systems,<\/em> pp. 202-211, 2010. <a href=\"http:\/\/dx.doi.org\/10.1145\/1869790.1869821\">PDF<\/a><\/p>\n<hr noshade=\"noshade\" \/>\n<p>B. M. \u00c1brego, R. Fabila, S. Fern\u00e1ndez, D. Flores, F. Hurtado, V. Sacrist\u00e1n, M. Saumell<br \/>\n<strong>On Crossing Numbers in Geometric Proximity Graphs<\/strong><br \/>\n<em>Computational Geometry &#8211; Theory and Applications<\/em>, Vol. 44, N. 4, pp. 216.233, 2011. <a href=\"http:\/\/dx.doi.org\/10.1016\/j.comgeo.2010.11.003\">PDF<\/a><br \/>\nPreliminary version in <em>Actas XIII Encuentros de Geometr\u00eda Computacional<\/em>, pp. 151-156, Zaragoza (Espa\u00f1a), 2009. <a href=\"http:\/\/metodosestadisticos.unizar.es\/%7Eegc09\/index_archivos\/Trabajos\/saumell.pdf\">PDF<\/a><\/p>\n<hr noshade=\"noshade\" width=\"100%\" \/>\n<p>G. Aloupis, S. Collette, M. Damian, E. D. Demaine, R. Flatland, S. Langerman, J. O&#8217;Rourke, V. Pinciu, S. Ramaswami, V. Sacrist\u00e1n, S Wuhrer<br \/>\n<strong>Efficient Constant-Velocity Reconfiguration of Crystalline Robots<\/strong><br \/>\n<em>Robotica<\/em>, Vol. 29, N. 1, pp. 59-71, 2011. <a href=\"http:\/\/journals.cambridge.org\/repo_A79bxW5d\">PDF<\/a><br \/>\nPreliminary version: Realistic Reconfiguration of Crystalline (and Telecube) Robots, <em>Proc. 8th International Workshop on the Algorithmic Foundations of Robotics (WAFR 2008)<\/em>, 2008. <a href=\"http:\/\/parasol.cs.tamu.edu\/wafr08\/papers\/wafr08-aloupis.pdf\">PDF<\/a><\/p>\n<hr size=\"2\" width=\"100%\" \/>\n<p>G. Aloupis, S. Collette, M. Damian, E. D. Demaine, R. Flatland, S. Langerman, J. O\u2019Rourke, S. Ramaswami, V. Sacrist\u00e1n, S. Wuhrer<br \/>\n<strong>Linear Reconfiguration of Cube-Style Modular Robots<\/strong><br \/>\n<em>Computational Geometry &#8211; Theory and Applications<\/em> Vol. 42, N. 6-7, pp. 652\u2013663, 2009. <a href=\"http:\/\/dx.doi.org\/doi:10.1016\/j.comgeo.2008.11.003\">PDF<\/a><br \/>\nPreliminary version in <em>Proc. 18th International Symposium on Algorithms and Computation (ISAAC2007)<\/em>, LNCS 4935, pp. 208-219, Springer-Verlag, 2007.<a href=\"http:\/\/dx.doi.org\/10.1007\/978-3-540-77120-3_20\">PDF<\/a><\/p>\n<hr noshade=\"noshade\" width=\"100%\" \/>\n<p>M. Abellanas, G. Hern\u00e1ndez, V. Sacrist\u00e1n<br \/>\n<strong>Caminos de desviaci\u00f3n m\u00ednima local<\/strong><br \/>\n<em>Actas XIII Encuentros de Geometr\u00eda Computacional<\/em>, pp. 285-292, Zaragoza (Espa\u00f1a), 2009. <a href=\"http:\/\/metodosestadisticos.unizar.es\/%7Eegc09\/index_archivos\/Trabajos\/abellanas.pdf\">PDF<\/a><\/p>\n<hr size=\"2\" width=\"100%\" \/>\n<p>M. Abellanas, G. Hern\u00e1ndez, J. L. Moreno, S. Ord\u00f3\u00f1ez, V. Sacrist\u00e1n<br \/>\n<strong>DVALon: una herramienta para diagramas de Voronoi y grafos de proximidad de alcance limitado<\/strong><br \/>\n<em>Actas XIII Encuentros de Geometr\u00eda Computacional<\/em>, pp. 293-300, Zaragoza (Espa\u00f1a), 2009. <a href=\"http:\/\/metodosestadisticos.unizar.es\/%7Eegc09\/index_archivos\/Trabajos\/vera.pdf\">PDF<\/a><\/p>\n<hr size=\"2\" width=\"100%\" \/>\n<p>G. Aloupis, S. Collette, E. D. Demaine, S. Langerman, S. Ramaswami, V. Sacrist\u00e1n, S. Wuhrer<br \/>\n<strong>Reconfiguration of Cube-Style Modular Robots Using O(log n) Parallel Moves<\/strong><br \/>\n<em>Proc. 19th International Symposium on Algorithms and Computation (ISAAC2008)<\/em>, LNCS 5369, pp. 342-353, Springer-Verlag, 2008. <a href=\"http:\/\/dx.doi.org\/10.1007\/978-3-540-92182-0_32\">PDF<\/a><\/p>\n<hr noshade=\"noshade\" width=\"100%\" \/>\n<p>F.Hurtado, M.Noy, J.M.Robert, V.Sacrist\u00e1n and S.Skiena.<br \/>\n<strong>Visualizing Objects with Mirrors<\/strong><br \/>\n<em>Computer Graphics Forum<\/em>, Vol. 23, Num. 2, pp. 157-166, 2004. <a href=\"http:\/\/dx.doi.org\/10.1111\/j.1467-8659.2004.00749.x\">PDF<\/a><br \/>\nPreliminary version in Technical Report 96-001, Computer Science Dept., State University of New York at Stony Brook, 1996. Spanish (partial) version in <em>Actas del VI Congreso Espa\u00f1ol de Inform\u00e1tica Gr\u00e1fica<\/em>, pp.51-65, 1996.<\/p>\n<hr noshade=\"noshade\" width=\"100%\" \/>\n<p>F. Hurtado, R. Klein, E. Langetepe, V. Sacrist\u00e1n.<br \/>\n<strong>The weighted farthest color Voronoi diagram on trees and graphs<\/strong><br \/>\n<em>Computational Geometry-Theory and Applications<\/em>, Vol. 27, Num. 1, pp. 13-26, 2004. <a href=\"http:\/\/dx.doi.org\/doi:10.1016\/j.comgeo.2003.07.003\">PDF<\/a><br \/>\nExtended abstract in <em>Proc.18th European Conference on Computational Geometry<\/em>, pp. 8-11, 2002.<\/p>\n<hr noshade=\"noshade\" \/>\n<p>E. Arkin, S. Fekete, F. Hurtado, J. Mitchell, M. Noy, V. Sacrist\u00e1n, S. Sethia.<br \/>\n<strong>On the Reflexivity of Point Sets<\/strong><br \/>\n<em>The Goodman-Pollack Festschrift,<\/em> pp. 139-156, Springer-Verlag, 2003. <a href=\"http:\/\/www.springer.com\/mathematics\/geometry\/book\/978-3-540-00371-7\">Link<\/a><br \/>\nPreliminary version in <em>Proc. 7th International Workshop on Algorithms and Data Structures<\/em>, LNCS 2125, pp. 192-204, Springer-Verlag, 2001. <a href=\"http:\/\/dx.doi.org\/10.1007\/3-540-44634-6_18\">PDF<\/a><br \/>\nExtended Abstract in <em>Actas de los IX Encuentros de Geometr\u00eda Computacional<\/em>, pp. 239-249, 2001. Abstract in <em>Proc. Tenth Annual Fall Workshop On Computational Geometry<\/em>, Stony Brook, NY, October 2000.<\/p>\n<hr noshade=\"noshade\" width=\"100%\" \/>\n<p>D. Bremner, F. Hurtado, S. Ramaswami, and V. Sacrist\u00e1n.<br \/>\n<strong>Small Strictly Convex Quadrilateral Meshes of Point Sets<\/strong><br \/>\n<em>Algorithmica<\/em>, Vol. 38, Num. 2, pp. 317-339, 2003. <a href=\"http:\/\/dx.doi.org\/10.1007\/s00453-003-1062-1\">PDF<\/a><br \/>\nPreliminary version in <em>Proc. Inte. Symp. on Algorithms and Computation 2001 (ISAAC)<\/em>, LNCS 2223, pp. 623-635, Springer-Verlag, 2001. <a href=\"http:\/\/dx.doi.org\/10.1007\/3-540-45678-3_53\">PDF<\/a><\/p>\n<hr noshade=\"noshade\" \/>\n<p>M. Abellanas, F. Hurtado, C. Icking, E. Langetepe, R. Klein, L. Ma, B. Palop, V. Sacrist\u00e1n.<br \/>\n<strong>Voronoi Diagram for services neighboring a highway<\/strong><br \/>\n<em>Information Processing Letters<\/em>, Vol. 86, Num. 5, pp. 283-288, 2003. <a href=\"http:\/\/dx.doi.org\/10.1016\/S0020-0190%2802%2900505-7\">PDF<\/a><\/p>\n<hr noshade=\"noshade\" \/>\n<p>O. Aichholzer, D. Bremner, E. Demaine, H. Meijer, V. Sacrist\u00e1n, M. Soss<br \/>\n<strong>Long Proteins with Unique Optimal Foldings in the H-P Model<\/strong><br \/>\n<em>Computational Geometry &#8211; Theory and Applications<\/em>, Vol. 25, pp. 139-159, 2003. <a href=\"http:\/\/dx.doi.org\/10.1016\/S0925-7721%2802%2900134-7\">PDF<\/a><br \/>\nExtended Abstract in <em>Proc. 17th European Workshop on Computational Geometry<\/em>, pp. 59-62, 2001.<\/p>\n<hr noshade=\"noshade\" width=\"100%\" \/>\n<p>O. Devillers, R. Estkowski, P. M. Gandoin, F. Hurtado, P. Ramos, V. Sacrist\u00e1n<br \/>\n<strong>Minimal Set of Constraints for 2D Constrained Delaunay Reconstruction<\/strong><br \/>\n<em>International Journal of Computational Geometry and Applications<\/em>, Vol. 13, Num. 5, pp. 391-398, 2003. <a href=\"http:\/\/dx.doi.org\/10.1142\/S0218195903001244\">PDF<\/a><br \/>\nPreliminary version in Technical Report 4119, INRIA Sophia-Antipolis, 2000. Extended abstract (in spanish) in\u00a0 <em>Actas de los IX Encuentros de Geometr\u00eda Computacional<\/em>, pp. 167-174, 2001.<\/p>\n<hr noshade=\"noshade\" width=\"100%\" \/>\n<p>M. Abellanas, F. Hurtado, R. Klein, E. Langetepe, B. Palop, V. Sacrist\u00e1n.<br \/>\n<strong>Bichromatic 2-center problem<\/strong><br \/>\n<em>Actas de los X Encuentros de Geometr\u00eda Computacional<\/em> (in Spanish), pp. 131-137, Sevilla, 2003. <a href=\"https:\/\/dccg.upc.edu\/people\/vera\/wp-content\/uploads\/2012\/03\/2center.pdf\">PDF<\/a><\/p>\n<hr noshade=\"noshade\" \/>\n<p>P. Bose, F. Hurtado, H. Meijer, S. Ramaswami, D. Rappaport, V. Sacrist\u00e1n, T. Shermer and G. Toussaint.<br \/>\n<strong>Finding Specified Sections of Arrangements: 2D Results<\/strong><br \/>\nIn<em> Journal of Mathematical Modeling and Algorithms<\/em>, Vol. 1, Num. 1, pp. 3-16, 2002. <a href=\"http:\/\/dx.doi.org\/10.1023\/A:1015648719133\">PDF<\/a><br \/>\nPreliminary version in <em>Proc. 10th Canadian Conference on Computational Geometry<\/em>, pp. 20-21, 1998.<\/p>\n<hr noshade=\"noshade\" width=\"100%\" \/>\n<p>B. Chazelle, O. Devillers, F. Hurtado, M. Mora, V. Sacrist\u00e1n, M. Teillaud.<br \/>\n<strong>Splitting a Delaunay Triangulation in Linear Time<\/strong><br \/>\n<em>Algorithmica<\/em>, Vol 34, Num. 1, pp. 39-46, 2002. <a href=\"http:\/\/dx.doi.org\/10.1007\/s00453-002-0939-8\">PDF<\/a><br \/>\nPreliminary version in <em>Proc. 9th Annual European Symposium on Algorithms<\/em>, LNCS 2161, pp. 312-320, Springer-Verlag, 2001. <a href=\"http:\/\/dx.doi.org\/10.1007\/3-540-44676-1_26\">PDF<\/a><br \/>\nExtended abstract in <em>Actas de los IX Encuentros de Geometr\u00eda Computacional<\/em> (in Spanish), pp. 157-166, Girona, 2001.<\/p>\n<hr noshade=\"noshade\" \/>\n<p>F. G\u00f3mez, F. Hurtado, S. Ramaswami, V. Sacrist\u00e1n and G. Toussaint.<br \/>\n<strong>Implicit Convex Polygons<\/strong><br \/>\n<em>Journal of Mathematical Modelling and Algorithms<\/em>, Vol. 1, Num. 1, pp. 57-85, 2002. <a href=\"http:\/\/dx.doi.org\/10.1023\/A:1015626820950\">PDF<\/a><br \/>\nAbstract in <em>Proc. 14th European Workshop in Computational Geometry<\/em>, pp. 83-86, 1998.<\/p>\n<hr noshade=\"noshade\" \/>\n<p>M. Abellanas, F. Hurtado, C. Ickling, R. Klein, E. Langetepe, L. MA, B. Palop, V. Sacrist\u00e1n.<br \/>\n<strong>Smallest Color-Spanning Objects<\/strong><br \/>\n<em>Proc. 9th Annual European Symposium on Algorithms<\/em>, LNCS 2161, pp. 278-292, Springer-Verlag, 2001. <a href=\"http:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218195909003076\">PDF<\/a><\/p>\n<hr noshade=\"noshade\" width=\"100%\" \/>\n<p>M. Abellanas, F. Hurtado, C. Icking, R. Klein, E. Langetepe, L. Ma, B. Palop, V. Sacrist\u00e1n.<br \/>\n<strong>The Farthest-Color Voronoi Diagram and Related Problems<\/strong><br \/>\nExtended abstract in <em>Proc. 17th European Workshop on Computational Geometry<\/em>, pp. 113-116, 2001.<br \/>\nExtended abstract (in spanish) in <em>Actas de los IX Encuentros de Geometr\u00eda Computacional<\/em>, pp. 51-54, 2001.<\/p>\n<hr noshade=\"noshade\" width=\"100%\" \/>\n<p>M. Abellanas, F. Hurtado, C. Icking, R. Klein, E. Langetepe, L. Ma, B. Palop, V. Sacrist\u00e1n<br \/>\n<strong>Proximity Problems for Time Metrics Induced by the L1-Metric and Isothetic Networks<\/strong><br \/>\nExtended abstract in <em>Actas de los IX Encuentros de Geometr\u00eda Computacional<\/em>, pp. 175-182, 2001. <a href=\"https:\/\/dccg.upc.edu\/people\/vera\/wp-content\/uploads\/2012\/03\/FacilityLocation.pdf\">PDF<\/a><\/p>\n<hr noshade=\"noshade\" width=\"100%\" \/>\n<p>F.Hurtado, V.Sacrist\u00e1n, G.Toussaint.<br \/>\n<strong>Some Constrained Minimax and Maximin Location Problems<\/strong><br \/>\n<em>Studies in Locational Analysis<\/em>, 15, pp. 17-35, dec. 2000.\u00a0<a href=\"http:\/\/www-ma2.upc.es\/%7Evera\/FacilityLocation.pdf\">PDF<\/a><br \/>\nPreliminary version in <em>Proc. 10th Canadian Conference in Computational Geometry<\/em>, pp. 24-25, 1998.<\/p>\n<hr noshade=\"noshade\" \/>\n<p>F. Hurtado, B. Palop, V. Sacrist\u00e1n.<br \/>\n<strong>Diagramas de Voronoi con funciones temporales<\/strong><br \/>\n<em>Actas de los VIII Encuentros de Geometr\u00eda Computacional<\/em> (in Spanish), pp. 279-287, 1999. <a href=\"https:\/\/dccg.upc.edu\/people\/vera\/wp-content\/uploads\/2012\/03\/VoronoiDistanciasTemporales.pdf\">PDF<\/a><\/p>\n<hr noshade=\"noshade\" width=\"100%\" \/>\n<p>E.Arkin, Y.J.Chiang, M. Held, J.Mitchell, V.Sacrist\u00e1n, S.Skiena, T.C. Yang.<br \/>\n<strong>On Minimum-Area Hulls<\/strong><br \/>\n<em>Algorithmica<\/em>, Vol. 21, pp. 119-136, 1998. <a href=\"http:\/\/link.springer.com\/article\/10.1007\/PL00009204\">PDF<\/a><br \/>\nPreliminary version in <em>Proc. 4th Annual European Symposium on Algorithms<\/em>, LNCS 1136, pp. 334-348, 1996. <a href=\"http:\/\/link.springer.com\/chapter\/10.1007\/3-540-61680-2_66\">Link<\/a><\/p>\n<hr noshade=\"noshade\" \/>\n<p>V. Sacrist\u00e1n.<br \/>\n<strong>Lower bounds for some geometric problems<\/strong><br \/>\nTechnical Report MA-IR-98-0034, Universitat Polit\u00e8cnica de Catalunya, Departament de Matem\u00e0tica Aplicada II, 1998. <a href=\"https:\/\/dccg.upc.edu\/people\/vera\/wp-content\/uploads\/2012\/03\/cotasnuevas.pdf\">PDF<\/a><br \/>\nAbstract in <em>Actas VIII Encuentros de Geometr\u00eda Computacional<\/em>, pp. 371-372, 1999.<\/p>\n<hr noshade=\"noshade\" \/>\n<p>F. Hurtado, V. Sacrist\u00e1n and G. Toussaint.<br \/>\n<strong>Pruning can solve from Facility Location to Visibility Problems<\/strong><br \/>\n<em>Proc. Journ\u00e9es Francoespagnoles de G\u00e9om\u00e9trie Algoritmique<\/em>, pp. 53-61, 1997. <a href=\"https:\/\/dccg.upc.edu\/people\/vera\/wp-content\/uploads\/2012\/03\/jfe.pdf\">PDF<\/a><\/p>\n<hr noshade=\"noshade\" \/>\n<p>F. Hurtado, V. Sacrist\u00e1n and G. Toussaint.<br \/>\n<strong>\u00c1ngulo de apertura en la visi\u00f3n en dos y tres dimensiones<\/strong><br \/>\n<em>Actas VII Encuentros de Geometr\u00eda Computacional<\/em>, pp. 15-28, 1997. <a href=\"https:\/\/dccg.upc.edu\/people\/vera\/wp-content\/uploads\/2012\/03\/7egc.pdf\">PDF<\/a><\/p>\n<hr noshade=\"noshade\" \/>\n<p>V. Sacrist\u00e1n.<br \/>\n<strong>Geometric Optimization and Applications in Visibility<\/strong><br \/>\nMy Phd. Thesis (in spanish) was supervised by Ferran Hurtado (1997).<br \/>\n<strong>Contents:<\/strong><br \/>\n1. Introduction<br \/>\n2. Quality images<br \/>\n3. Visibility by reflection<br \/>\n4. Optimization with linear programming and median finding.<br \/>\n5. Optimization of the angle of aperture and vision through obstacles.<br \/>\n6. References<br \/>\n<a href=\"https:\/\/dccg.upc.edu\/people\/vera\/wp-content\/uploads\/2012\/03\/tesi.pdf\">PDF<\/a><\/p>\n<hr noshade=\"noshade\" \/>\n<p>G. Blanco, J. Garc\u00eda, F. Hurtado, P. Ramos and V. Sacrist\u00e1n.<br \/>\n<strong>Incidence angle constrained visibility<\/strong><br \/>\n<em>Proc. 12th European Workshop on Computational Geometry<\/em>, pp. 27-28, 1996. <a href=\"https:\/\/dccg.upc.edu\/people\/vera\/wp-content\/uploads\/2012\/03\/fotos.pdf\">PDF<\/a><br \/>\nPreliminary version (in spanish): <strong>Fotograf\u00edas de Calidad<\/strong>, <em>Actas VI Encuentros de Geometr\u00eda Computacional<\/em>, pp. 93-101, 1995.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>G. Esteban, D. Halperin, V. Ru\u00edz, V. Sacrist\u00e1n and R.I. Silveira Shortest coordinated motion for a pair of square robots In: Abstracts 39th Spanish Meeting on Computational Geometry, Barcelona (Spain), March 29-31, pp. 21:1-21:8, 2023. Link Preliminary version: D. Halperin, V. Ruiz, V. Sacrist\u00e1n, R. Silveira, Optimal coordinate motions for two squares, Abstracts of the&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":78,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-92","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/dccg.upc.edu\/people\/vera\/wp-json\/wp\/v2\/pages\/92","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/dccg.upc.edu\/people\/vera\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/dccg.upc.edu\/people\/vera\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/dccg.upc.edu\/people\/vera\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/dccg.upc.edu\/people\/vera\/wp-json\/wp\/v2\/comments?post=92"}],"version-history":[{"count":155,"href":"https:\/\/dccg.upc.edu\/people\/vera\/wp-json\/wp\/v2\/pages\/92\/revisions"}],"predecessor-version":[{"id":1967,"href":"https:\/\/dccg.upc.edu\/people\/vera\/wp-json\/wp\/v2\/pages\/92\/revisions\/1967"}],"up":[{"embeddable":true,"href":"https:\/\/dccg.upc.edu\/people\/vera\/wp-json\/wp\/v2\/pages\/78"}],"wp:attachment":[{"href":"https:\/\/dccg.upc.edu\/people\/vera\/wp-json\/wp\/v2\/media?parent=92"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}