Edit Profile (opens in new tab) Berberich, Eric Co-Author Distance Author ID: berberich.eric Published as: Berberich, Eric Documents Indexed: 17 Publications since 2002 Co-Authors: 18 Co-Authors with 15 Joint Publications 430 Co-Co-Authors all top 5 Co-Authors 2 single-authored 6 Kerber, Michael 6 Sagraloff, Michael 5 Halperin, Dan 4 Hemmer, Michael 4 Mehlhorn, Kurt 3 Emeliyanenko, Pavel 3 Fogel, Efi 3 Schömer, Elmar 2 Eigenwillig, Arno 2 Hert, Susan 2 Kettner, Lutz 2 Kobel, Alexander 2 Pogalnikova, Roza 2 Wein, Ron 2 Wolpert, Nicola 1 Reichel, Joachim 1 Schmitt, Susanne 1 Setter, Ophir Serials 2 Mathematics in Computer Science 1 Theoretical Computer Science 1 Computer Aided Geometric Design 1 Discrete & Computational Geometry 1 Computational Geometry Fields 15 Computer science (68-XX) 10 Algebraic geometry (14-XX) 7 Numerical analysis (65-XX) 3 Convex and discrete geometry (52-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 14 Publications have been cited 94 times in 63 Documents Cited by ▼ Year ▼ An exact, complete and efficient implementation for computing planar maps of quadric intersection curves: exploiting a little more geometry and a little less algebra. Zbl 1387.68237 Berberich, Eric; Hemmer, Michael; Kettner, Lutz; Schömer, Elmar; Wolpert, Nicola 16 2005 Exact symbolic-numeric computation of planar algebraic curves. Zbl 1277.68300 Berberich, Eric; Emeliyanenko, Pavel; Kobel, Alexander; Sagraloff, Michael 15 2013 A computational basis for conic arcs and boolean operations on conic polygons. Zbl 1019.68601 Berberich, Eric; Eigenwillig, Arno; Hemmer, Michael; Hert, Susan; Mehlhorn, Kurt; Schömer, Elmar 11 2002 An efficient algorithm for the stratification and triangulation of an algebraic surface. Zbl 1203.65037 Berberich, Eric; Kerber, Michael; Sagraloff, Michael 9 2010 An elimination method for solving bivariate polynomial systems: eliminating the usual drawbacks. Zbl 1429.65104 Berberich, Eric; Emeliyanenko, Pavel; Sagraloff, Michael 8 2011 Sweeping and maintaining two-dimensional arrangements on surfaces: A first step. Zbl 1151.68700 Berberich, Eric; Fogel, Efi; Halperin, Dan; Mehlhorn, Kurt; Wein, Ron 7 2007 Arrangement computation for planar algebraic curves. Zbl 1345.68259 Berberich, Eric; Emeliyanenko, Pavel; Kobel, Alexander; Sagraloff, Michael 6 2011 EXACUS: Efficient and exact algorithms for curves and surfaces. Zbl 1162.68733 Berberich, Eric; Eigenwillig, Arno; Hemmer, Michael; Hert, Susan; Kettner, Lutz; Mehlhorn, Kurt; Reichel, Joachim; Schmitt, Susanne; Schömer, Elmar; Wolpert, Nicola 6 2005 A generic algebraic kernel for non-linear geometric applications. Zbl 1283.68344 Berberich, Eric; Hemmer, Michael; Kerber, Michael 5 2011 Exact geometric-topological analysis of algebraic surfaces. Zbl 1221.65043 Berberich, Eric; Kerber, Michael; Sagraloff, Michael 4 2008 Arrangements on parametric surfaces. I: General framework and infrastructure. Zbl 1205.68457 Berberich, Eric; Fogel, Efi; Halperin, Dan; Mehlhorn, Kurt; Wein, Ron 4 2010 A generic and flexible framework for the geometrical and topological analysis of (algebraic) surfaces. Zbl 1205.65067 Berberich, Eric; Sagraloff, Michael 1 2009 Arrangements on parametric surfaces. II: Concretizations and applications. Zbl 1205.68456 Berberich, Eric; Fogel, Efi; Halperin, Dan; Kerber, Michael; Setter, Ophir 1 2010 Deconstructing approximate offsets. Zbl 1254.68293 Berberich, Eric; Halperin, Dan; Kerber, Michael; Pogalnikova, Roza 1 2012 Exact symbolic-numeric computation of planar algebraic curves. Zbl 1277.68300 Berberich, Eric; Emeliyanenko, Pavel; Kobel, Alexander; Sagraloff, Michael 15 2013 Deconstructing approximate offsets. Zbl 1254.68293 Berberich, Eric; Halperin, Dan; Kerber, Michael; Pogalnikova, Roza 1 2012 An elimination method for solving bivariate polynomial systems: eliminating the usual drawbacks. Zbl 1429.65104 Berberich, Eric; Emeliyanenko, Pavel; Sagraloff, Michael 8 2011 Arrangement computation for planar algebraic curves. Zbl 1345.68259 Berberich, Eric; Emeliyanenko, Pavel; Kobel, Alexander; Sagraloff, Michael 6 2011 A generic algebraic kernel for non-linear geometric applications. Zbl 1283.68344 Berberich, Eric; Hemmer, Michael; Kerber, Michael 5 2011 An efficient algorithm for the stratification and triangulation of an algebraic surface. Zbl 1203.65037 Berberich, Eric; Kerber, Michael; Sagraloff, Michael 9 2010 Arrangements on parametric surfaces. I: General framework and infrastructure. Zbl 1205.68457 Berberich, Eric; Fogel, Efi; Halperin, Dan; Mehlhorn, Kurt; Wein, Ron 4 2010 Arrangements on parametric surfaces. II: Concretizations and applications. Zbl 1205.68456 Berberich, Eric; Fogel, Efi; Halperin, Dan; Kerber, Michael; Setter, Ophir 1 2010 A generic and flexible framework for the geometrical and topological analysis of (algebraic) surfaces. Zbl 1205.65067 Berberich, Eric; Sagraloff, Michael 1 2009 Exact geometric-topological analysis of algebraic surfaces. Zbl 1221.65043 Berberich, Eric; Kerber, Michael; Sagraloff, Michael 4 2008 Sweeping and maintaining two-dimensional arrangements on surfaces: A first step. Zbl 1151.68700 Berberich, Eric; Fogel, Efi; Halperin, Dan; Mehlhorn, Kurt; Wein, Ron 7 2007 An exact, complete and efficient implementation for computing planar maps of quadric intersection curves: exploiting a little more geometry and a little less algebra. Zbl 1387.68237 Berberich, Eric; Hemmer, Michael; Kettner, Lutz; Schömer, Elmar; Wolpert, Nicola 16 2005 EXACUS: Efficient and exact algorithms for curves and surfaces. Zbl 1162.68733 Berberich, Eric; Eigenwillig, Arno; Hemmer, Michael; Hert, Susan; Kettner, Lutz; Mehlhorn, Kurt; Reichel, Joachim; Schmitt, Susanne; Schömer, Elmar; Wolpert, Nicola 6 2005 A computational basis for conic arcs and boolean operations on conic polygons. Zbl 1019.68601 Berberich, Eric; Eigenwillig, Arno; Hemmer, Michael; Hert, Susan; Mehlhorn, Kurt; Schömer, Elmar 11 2002 all cited Publications top 5 cited Publications all top 5 Cited by 110 Authors 13 Sagraloff, Michael 6 Cheng, Jinsan 5 Berberich, Eric 5 Halperin, Dan 5 Kerber, Michael 4 Caravantes, Jorge 4 Gonzalez-Vega, Laureano 4 Jin, Kai 4 Mehlhorn, Kurt 3 Alcazar, Juan Gerardo 3 Díaz-Toca, Gema María 3 Fogel, Efi 3 Kettner, Lutz 3 Lazard, Daniel 3 Lazard, Sylvain 3 Petitjean, Sylvain 3 Schömer, Elmar 2 Diatta, Daouda Niang 2 Dupont, Laurent 2 Hachenberger, Peter 2 Hemmer, Michael 2 Karavelas, Menelaos I. 2 Kobel, Alexander 2 Mourrain, Bernard 2 Pion, Sylvain 2 Schost, Éric 2 Shen, Liyong 2 Wein, Ron 2 Wolpert, Nicola 1 Agarwal, Pankaj Kumar 1 Attali, Dominique 1 Becker, Ruben 1 Besana, Gian Mario 1 Brankovic, Milutin 1 Cazals, Frédéric 1 Chen, Falai 1 De Castro, Pedro Machado Manhães 1 De Lathauwer, Lieven 1 Di Rocco, Sandra 1 Diatta, Sény 1 Domanov, Ignat 1 Eigenwillig, Arno 1 Elber, Gershon 1 Emeliyanenko, Pavel 1 Emiris, Ioannis Z. 1 Everett, Hazel 1 Fioravanti, Mario A. 1 Fortuna, Elisabetta 1 Geft, Tzvika 1 Gianni, Patrizia M. 1 Guibas, Leonidas John 1 Hanniel, Iddo 1 Hauenstein, Jonathan D. 1 Hert, Susan 1 Hoffmann, Michael 1 Ishaque, Mashhood 1 Islam, Md. Nazrul 1 Jia, Xiaohong 1 Kresch, Andrew 1 Li, Chen 1 Loriot, Sebastien 1 Mehrabi, Esmaeil 1 Milenkovic, Victor J. 1 Necula, Ioana 1 Nguyen, Tuong-Bach 1 Nie, Mengdie 1 Peñaranda, Luis Mariano 1 Pérez-Díaz, Sonia 1 Poteaux, Adrien 1 Prébet, Rémi 1 Raveh, Barak 1 Ren, Shiquan 1 Rouillier, Fabrice 1 Roy, Marie-Françoise 1 Ruatta, Olivier 1 Russel, Daniel 1 Sacks, Elisha P. 1 Safey El Din, Mohab 1 Salzman, Oren 1 Seel, Michael 1 Setter, Ophir 1 Seybold, Martin P. 1 Shao, Wenbing 1 Sivignon, Isabelle 1 Sommese, Andrew John 1 Sorber, Laurent 1 St-Pierre, Catherine 1 Taylor, Erin 1 Teillaud, Monique 1 Tóth, Csaba D. 1 Trager, Barry M. 1 Trocado, Alexandre 1 Tsigaridas, Elias P. 1 Tu, Changhe 1 Van Barel, Marc 1 Wampler, Charles W. II 1 Wang, Jiaye 1 Wang, Pengming 1 Wang, Wenping 1 Wang, Zhijie ...and 10 more Authors all top 5 Cited in 20 Serials 12 Computational Geometry 11 Journal of Symbolic Computation 8 Computer Aided Geometric Design 3 Journal of Computational and Applied Mathematics 3 Algorithmica 3 Discrete & Computational Geometry 3 Mathematics in Computer Science 2 Journal of Complexity 2 Journal of Systems Science and Complexity 1 Information Sciences 1 Theoretical Computer Science 1 Chinese Annals of Mathematics. Series B 1 Graphs and Combinatorics 1 International Journal of Computational Geometry & Applications 1 International Journal of Algebra and Computation 1 Numerical Algorithms 1 Experimental Mathematics 1 Computational Optimization and Applications 1 The Journal of Logic and Algebraic Programming 1 Journal of Zhejiang University. Science A all top 5 Cited in 15 Fields 35 Computer science (68-XX) 34 Numerical analysis (65-XX) 25 Algebraic geometry (14-XX) 3 Commutative algebra (13-XX) 3 Real functions (26-XX) 3 Convex and discrete geometry (52-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year