Edit Profile (opens in new tab) Eigenwillig, Arno Co-Author Distance Author ID: eigenwillig.arno Published as: Eigenwillig, Arno External Links: MGP Documents Indexed: 11 Publications since 2002 Co-Authors: 19 Co-Authors with 10 Joint Publications 494 Co-Co-Authors all top 5 Co-Authors 1 single-authored 6 Wolpert, Nicola 5 Kettner, Lutz 4 Schömer, Elmar 3 Mehlhorn, Kurt 2 Berberich, Eric 2 Hemmer, Michael 2 Hert, Susan 2 Kerber, Michael 2 Schmitt, Susanne 1 Bast, Hannah 1 Carlsson, Erik 1 Geisberger, Robert 1 Harrelson, Chris 1 Krandick, Werner 1 Raychev, Veselin 1 Reichel, Joachim 1 Sharma, Vikram 1 Viger, Fabien 1 Yap, Chee-Keng Serials 1 Journal of Computational and Applied Mathematics 1 Computational Geometry all top 5 Fields 9 Computer science (68-XX) 6 Numerical analysis (65-XX) 4 Algebraic geometry (14-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Convex and discrete geometry (52-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 11 Publications have been cited 132 times in 89 Documents Cited by ▼ Year ▼ Fast and exact geometric analysis of real algebraic plane curves. Zbl 1190.14062 Eigenwillig, Arno; Kerber, Michael; Wolpert, Nicola 35 2007 Almost tight recursion tree bounds for the Descartes method. Zbl 1356.65120 Eigenwillig, Arno; Sharma, Vikram; Yap, Chee K. 25 2006 A Descartes algorithm for polynomials with bit-stream coefficients. Zbl 1169.65315 Eigenwillig, Arno; Kettner, Lutz; Krandick, Werner; Mehlhorn, Kurt; Schmitt, Susanne; Wolpert, Nicola 18 2005 Exact and efficient 2D-arrangements of arbitrary algebraic curves. Zbl 1192.14047 Eigenwillig, Arno; Kerber, Michael 14 2008 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 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 Exact, efficient, and complete arrangement computation for cubic curves. Zbl 1124.65021 Eigenwillig, Arno; Kettner, Lutz; Schömer, Elmar; Wolpert, Nicola 6 2006 Complete, exact, and efficient computations with cubic curves. Zbl 1375.68126 Eigenwillig, Arno; Kettner, Lutz; Schömer, Elmar; Wolpert, Nicola 6 2004 Fast routing in very large public transportation networks using transfer patterns. Zbl 1287.90013 Bast, Hannah; Carlsson, Erik; Eigenwillig, Arno; Geisberger, Robert; Harrelson, Chris; Raychev, Veselin; Viger, Fabien 6 2010 On multiple roots in Descartes’ rule and their distance to roots of higher derivatives. Zbl 1117.26014 Eigenwillig, Arno 4 2007 Snap rounding of Bézier curves. Zbl 1221.65063 Eigenwillig, Arno; Kettner, Lutz; Wolpert, Nicola 1 2007 Fast routing in very large public transportation networks using transfer patterns. Zbl 1287.90013 Bast, Hannah; Carlsson, Erik; Eigenwillig, Arno; Geisberger, Robert; Harrelson, Chris; Raychev, Veselin; Viger, Fabien 6 2010 Exact and efficient 2D-arrangements of arbitrary algebraic curves. Zbl 1192.14047 Eigenwillig, Arno; Kerber, Michael 14 2008 Fast and exact geometric analysis of real algebraic plane curves. Zbl 1190.14062 Eigenwillig, Arno; Kerber, Michael; Wolpert, Nicola 35 2007 On multiple roots in Descartes’ rule and their distance to roots of higher derivatives. Zbl 1117.26014 Eigenwillig, Arno 4 2007 Snap rounding of Bézier curves. Zbl 1221.65063 Eigenwillig, Arno; Kettner, Lutz; Wolpert, Nicola 1 2007 Almost tight recursion tree bounds for the Descartes method. Zbl 1356.65120 Eigenwillig, Arno; Sharma, Vikram; Yap, Chee K. 25 2006 Exact, efficient, and complete arrangement computation for cubic curves. Zbl 1124.65021 Eigenwillig, Arno; Kettner, Lutz; Schömer, Elmar; Wolpert, Nicola 6 2006 A Descartes algorithm for polynomials with bit-stream coefficients. Zbl 1169.65315 Eigenwillig, Arno; Kettner, Lutz; Krandick, Werner; Mehlhorn, Kurt; Schmitt, Susanne; Wolpert, Nicola 18 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 Complete, exact, and efficient computations with cubic curves. Zbl 1375.68126 Eigenwillig, Arno; Kettner, Lutz; Schömer, Elmar; Wolpert, Nicola 6 2004 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 141 Authors 14 Sagraloff, Michael 10 Tsigaridas, Elias P. 7 Mourrain, Bernard 6 Cheng, Jinsan 6 Kerber, Michael 5 Alcazar, Juan Gerardo 5 Berberich, Eric 5 Emiris, Ioannis Z. 5 Gonzalez-Vega, Laureano 5 Yap, Chee-Keng 4 Díaz-Toca, Gema María 4 Jin, Kai 4 Mehlhorn, Kurt 3 Burr, Michael A. 3 Caravantes, Jorge 3 Diatta, Daouda Niang 3 Fogel, Efi 3 Halperin, Dan 3 Schömer, Elmar 3 Sharma, Vikram 3 Wagner, Dorothea 2 Collins, George E. 2 Dibbelt, Julian 2 Karavelas, Menelaos I. 2 Kettner, Lutz 2 Kobel, Alexander 2 Pajor, Thomas 2 Pion, Sylvain 2 Pouget, Marc 2 Rouillier, Fabrice 2 Roy, Marie-Françoise 2 Ruatta, Olivier 2 Shen, Liyong 2 Strzeboński, Adam Wojciech 2 Wein, Ron 2 Wintz, Julien 2 Wolpert, Nicola 1 Alberti, Lionel F. 1 Attali, Dominique 1 Batra, Prashant 1 Baum, Moritz 1 Becker, Ruben 1 Blažková, Eva 1 Boudaoud, Fatima 1 Buchhold, Valentin 1 Cantoni, Michael 1 Caruso, Fabrizio 1 Chang, Hsien-Chih 1 Chen, Jingwei 1 Cionini, Alessio 1 Corless, Robert Malcolm 1 Dai, Liyun 1 D’Angelo, Gianlorenzo 1 Davoren, Jennifer M. 1 D’Emidio, Mattia 1 Diatta, Sény 1 Diochnos, Dimitrios I. 1 Dupont, Laurent 1 Eigenwillig, Arno 1 El Kahoui, M’hammed 1 Emeliyanenko, Pavel 1 Erickson, Jeff 1 Escorcielo, Paula 1 Fan, Zhe 1 Feng, Ruyong 1 Feng, Yifei 1 Feng, Yong 1 Fioravanti, Mario A. 1 Frigioni, Daniele 1 Gao, Shuhong 1 Gao, Xiaoshan 1 Gawrychowski, Paweł 1 Gendreau, Michel 1 Ghiani, Gianpaolo 1 Giannakopoulou, Kalliopi 1 Goldman, Ronald N. 1 Guerriero, Emanuela 1 Guibas, Leonidas John 1 Haukkanen, Pentti 1 Hemmer, Michael 1 Hert, Susan 1 Hoffmann, Michael 1 Imbach, Rémi 1 Islam, Md. Nazrul 1 Jüttler, Bert 1 Kaihnsa, Nidhi 1 Krahmer, Felix 1 Krandick, Werner 1 Krieger, Dalia 1 Kummer, Mario Denis 1 Lazard, Daniel 1 Lazard, Sylvain 1 Li, Chen 1 Lin, Long 1 Mantzaflaris, Angelos 1 Namin, Mahsa Sayyary 1 Nguyen, Tuong-Bach 1 Nie, Mengdie 1 Packer, Eli 1 Paraskevopoulos, Andreas ...and 41 more Authors all top 5 Cited in 20 Serials 22 Journal of Symbolic Computation 10 Computer Aided Geometric Design 10 Computational Geometry 7 Theoretical Computer Science 6 Mathematics in Computer Science 5 Discrete & Computational Geometry 4 Journal of Systems Science and Complexity 2 Applied Mathematics and Computation 2 Journal of Computational and Applied Mathematics 2 Journal of Complexity 2 ACM Journal of Experimental Algorithmics 1 Information Sciences 1 Graphs and Combinatorics 1 Computers & Operations Research 1 Applicable Algebra in Engineering, Communication and Computing 1 Experimental Mathematics 1 SIAM Journal on Scientific Computing 1 The Journal of Logic and Algebraic Programming 1 Journal of Discrete Algorithms 1 Journal of Zhejiang University. Science A all top 5 Cited in 17 Fields 49 Numerical analysis (65-XX) 45 Computer science (68-XX) 29 Algebraic geometry (14-XX) 10 Field theory and polynomials (12-XX) 9 Commutative algebra (13-XX) 6 Real functions (26-XX) 6 Operations research, mathematical programming (90-XX) 4 Combinatorics (05-XX) 4 Functions of a complex variable (30-XX) 2 Number theory (11-XX) 2 Geometry (51-XX) 2 Convex and discrete geometry (52-XX) 1 Mathematical logic and foundations (03-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Manifolds and cell complexes (57-XX) 1 Fluid mechanics (76-XX) Citations by Year