Edit Profile (opens in new tab) Polthier, Konrad Compute Distance To: Compute Author ID: polthier.konrad Published as: Polthier, Konrad; Polthier, K. External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 56 Publications since 1989, including 9 Books 15 Contributions as Editor Reviewing Activity: 17 Reviews Co-Authors: 77 Co-Authors with 64 Joint Publications 2,414 Co-Co-Authors all top 5 Co-Authors 6 single-authored 10 Hege, Hans-Christian 10 Rossman, Wayne 5 Nieser, Matthias 5 Skrodzki, Martin 4 Glaeser, Georg 3 Große-Brauckmann, Karsten 3 Lipschütz, Henriette-Sophie 3 Reitebuch, Ulrich 2 Aigner, Martin 2 Anderssen, Robert Scott 2 Apostol, Tom M. 2 Emmer, Michele 2 Fukumoto, Yasuhide 2 Hildebrandt, Klaus 2 Janzen, Beau 2 Kälberer, Felix 2 Lange, Carsten 2 Razafindrazaka, Faniry H. 2 Wardetzky, Max 2 Weinberg, Ulrich 1 Andreeva, Maria V. 1 Arnez, Andreas 1 Bath, Ulrike 1 Bauer, Ulrich 1 Borwein, Jonathan Michael 1 Broadbridge, Philip 1 Cheng, Jin 1 Colli, Eduardo 1 Desbrun, Mathieu 1 Deuflhard, Peter 1 Dugaro, Steven Peter 1 Dynnikov, Ivan Alekseevich 1 Eckhardt, Ulrich 1 Flach, Boris 1 Götschel, Sebastian 1 Grötschel, Martin 1 Guo, Kevin 1 Hömberg, Dietmar 1 Horst, Ulrich 1 Jansen, Johanna 1 Kamiyama, Naoyuki 1 Karcher, Hermann 1 Knauer, Uwe 1 Kramer, Jürg 1 Krauth, Niklas 1 McKibbin, Robert 1 Mehrmann, Volker 1 Mizoguchi, Yoshihiro 1 Morales, Maria H. 1 Muthuganapathy, Ramanathan 1 Nemenzo, Fidel Ronquillo 1 Oberknapp, Bernd 1 Pinkall, Ulrich 1 Poelke, Konstantin 1 Preuß, Eike 1 Reulke, Ralf 1 Rodrigues, José Francisco 1 Rousseau, Christiane 1 Rumpf, Martin 1 Saeki, Osamu 1 Scheuermann, Gerik 1 Schmies, Markus 1 Schulz, Christian 1 Schütte, Christof 1 Simon, Udo 1 Skutella, Martin 1 Sprekels, Jürgen 1 Steffens, Martin 1 Takagi, Tsuyoshi 1 Teitzel, Christian 1 Thayyil, Safeer Babu 1 Toh, Kim Chuan 1 Von-Tycowicz, Christoph 1 Wakayama, Masato 1 Weiser, Martin 1 Yadav, Sunil Kumar 1 Zimmermann, Eric all top 5 Serials 9 Computer Aided Geometric Design 9 Electronic Geometry Model 5 Springer VideoMATH 2 Experimental Mathematics 2 Journal of Mathematics and the Arts 2 Mathematics for Industry 2 Mathematics and Visualization 1 Mathematische Semesterberichte 1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 1 Geometriae Dedicata 1 Journal für die Reine und Angewandte Mathematik 1 Discrete & Computational Geometry 1 CAD. Computer-Aided Design 1 Computer Graphics Forum 1 Journal of Mathematical Imaging and Vision 1 RIMS Kokyuroku 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Bonner Mathematische Schriften 1 Lecture Notes in Computer Science 1 EMS Series in Industrial and Applied Mathematics all top 5 Fields 30 Differential geometry (53-XX) 26 Numerical analysis (65-XX) 24 General and overarching topics; collections (00-XX) 22 Computer science (68-XX) 6 Convex and discrete geometry (52-XX) 3 Combinatorics (05-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Mathematics education (97-XX) 2 History and biography (01-XX) 2 Manifolds and cell complexes (57-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Fluid mechanics (76-XX) 2 Biology and other natural sciences (92-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 30 Publications have been cited 380 times in 312 Documents Cited by ▼ Year ▼ Computing discrete minimal surfaces and their conjugates. Zbl 0799.53008Pinkall, Ulrich; Polthier, Konrad 173 1993 QuadCover – surface parameterization using branched coverings. Zbl 1259.65025Kälberer, Felix; Nieser, Matthias; Polthier, Konrad 42 2007 On the convergence of metric and geometric properties of polyhedral surfaces. Zbl 1125.52014Hildebrandt, Klaus; Polthier, Konrad; Wardetzky, Max 34 2006 Discrete constant mean curvature surfaces and their index. Zbl 1014.53005Polthier, Konrad; Rossman, Wayne 22 2002 Identifying vector field singularities using a discrete Hodge decomposition. Zbl 1065.37018Polthier, Konrad; Preuß, Eike 18 2003 Straightest geodesics on polyhedral surfaces. Zbl 0940.68153Polthier, Konrad; Schmies, Markus 17 1998 Anisotropic smoothing of point sets. Zbl 1119.65310Lange, Carsten; Polthier, Konrad 12 2005 Computational aspects of discrete minimal surfaces. Zbl 1100.53014Polthier, Konrad 11 2005 Construction of triply periodic minimal surfaces. Zbl 0869.53006Karcher, Hermann; Polthier, Konrad 8 1996 De Casteljau’s algorithm on manifolds. Zbl 1286.65023Nava-Yazdani, E.; Polthier, K. 5 2013 Numerical examples of compact surfaces of constant mean curvature. Zbl 0980.53012Grosse-Brauckmann, Karsten; Polthier, Konrad 4 1996 Uniform convergence of discrete curvatures from nets of curvature lines. Zbl 1193.53005Bauer, Ulrich; Polthier, Konrad; Wardetzky, Max 4 2010 Reducing memory requirements in scientific computing and optimal control. Zbl 1337.65052Götschel, Sebastian; von Tycowicz, Christoph; Polthier, Konrad; Weiser, Martin 4 2015 Generalized shape operators on polyhedral surfaces. Zbl 1225.65029Hildebrandt, Klaus; Polthier, Konrad 3 2011 Compact constant mean curvature surfaces with low genus. Zbl 0898.53009Große-Brauckmann, Karsten; Polthier, Konrad 2 1997 Foreword: Discrete differential geometry. Zbl 1171.65300Desbrun, Mathieu; Polthier, Konrad 2 2007 Touching soap films (Videotape VHS PAL/NTSC). Zbl 1042.53500Arnez, Andreas; Polthier, Konrad; Steffens, Martin; Teitzel, Christian 2 1999 A mathematical webservice for recognizing the unknot. Zbl 1011.68175Andreeva, M. V.; Dynnikov, I. A.; Polthier, K. 2 2002 Visualization and mathematics III. Outgrowth of the 3rd international workshop, Berlin, Germany, May 22–25, 2002. Zbl 1014.00012 2 2003 Geometric a priori estimates for hyperbolic minimal surfaces. Zbl 0831.53038Polthier, Konrad 2 1994 Directional density measure to intrinsically estimate and counteract non-uniformity in point clouds. Zbl 1505.65092Skrodzki, Martin; Jansen, Johanna; Polthier, Konrad 2 2018 New periodic minimal surfaces in \(H^ 3\). Zbl 0735.53006Polthier, Konrad 1 1991 Differential-based geometry and texture editing with brushes. Zbl 1378.68180Krauth, Niklas; Nieser, Matthias; Polthier, Konrad 1 2014 Realization of regular maps of large genus. Zbl 1312.65025Razafindrazaka, Faniry; Polthier, Konrad 1 2015 Visualization and mathematics: experiments, simulations and environments. Zbl 0878.00014 1 1997 Optimal base complexes for quadrilateral meshes. Zbl 1366.65044Razafindrazaka, Faniry H.; Polthier, Konrad 1 2017 Pictures of mathematics. (Bilder der Mathematik.) Zbl 1166.00002Glaeser, Georg; Polthier, Konrad 1 2009 MESH. A journey through discrete geometry. DVD-Video. (MESH. Eine Reise durch die diskrete Geometrie. DVD-Video.) Zbl 1181.52001Janzen, Beau; Polthier, Konrad 1 2010 Topology-based methods in visualization II. Papers based on the 2nd workshop on topological methods in visualization, Kloster Nimbschen near Leipzig, Germany, March 4–6, 2007. Zbl 1152.55001 1 2008 Weaving patterns inspired by the pentagon snub subdivision scheme. Zbl 07614251Lipschütz, Henriette; Reitebuch, Ulrich; Skrodzki, Martin; Polthier, Konrad 1 2022 Weaving patterns inspired by the pentagon snub subdivision scheme. Zbl 07614251Lipschütz, Henriette; Reitebuch, Ulrich; Skrodzki, Martin; Polthier, Konrad 1 2022 Directional density measure to intrinsically estimate and counteract non-uniformity in point clouds. Zbl 1505.65092Skrodzki, Martin; Jansen, Johanna; Polthier, Konrad 2 2018 Optimal base complexes for quadrilateral meshes. Zbl 1366.65044Razafindrazaka, Faniry H.; Polthier, Konrad 1 2017 Reducing memory requirements in scientific computing and optimal control. Zbl 1337.65052Götschel, Sebastian; von Tycowicz, Christoph; Polthier, Konrad; Weiser, Martin 4 2015 Realization of regular maps of large genus. Zbl 1312.65025Razafindrazaka, Faniry; Polthier, Konrad 1 2015 Differential-based geometry and texture editing with brushes. Zbl 1378.68180Krauth, Niklas; Nieser, Matthias; Polthier, Konrad 1 2014 De Casteljau’s algorithm on manifolds. Zbl 1286.65023Nava-Yazdani, E.; Polthier, K. 5 2013 Generalized shape operators on polyhedral surfaces. Zbl 1225.65029Hildebrandt, Klaus; Polthier, Konrad 3 2011 Uniform convergence of discrete curvatures from nets of curvature lines. Zbl 1193.53005Bauer, Ulrich; Polthier, Konrad; Wardetzky, Max 4 2010 MESH. A journey through discrete geometry. DVD-Video. (MESH. Eine Reise durch die diskrete Geometrie. DVD-Video.) Zbl 1181.52001Janzen, Beau; Polthier, Konrad 1 2010 Pictures of mathematics. (Bilder der Mathematik.) Zbl 1166.00002Glaeser, Georg; Polthier, Konrad 1 2009 Topology-based methods in visualization II. Papers based on the 2nd workshop on topological methods in visualization, Kloster Nimbschen near Leipzig, Germany, March 4–6, 2007. Zbl 1152.55001 1 2008 QuadCover – surface parameterization using branched coverings. Zbl 1259.65025Kälberer, Felix; Nieser, Matthias; Polthier, Konrad 42 2007 Foreword: Discrete differential geometry. Zbl 1171.65300Desbrun, Mathieu; Polthier, Konrad 2 2007 On the convergence of metric and geometric properties of polyhedral surfaces. Zbl 1125.52014Hildebrandt, Klaus; Polthier, Konrad; Wardetzky, Max 34 2006 Anisotropic smoothing of point sets. Zbl 1119.65310Lange, Carsten; Polthier, Konrad 12 2005 Computational aspects of discrete minimal surfaces. Zbl 1100.53014Polthier, Konrad 11 2005 Identifying vector field singularities using a discrete Hodge decomposition. Zbl 1065.37018Polthier, Konrad; Preuß, Eike 18 2003 Visualization and mathematics III. Outgrowth of the 3rd international workshop, Berlin, Germany, May 22–25, 2002. Zbl 1014.00012 2 2003 Discrete constant mean curvature surfaces and their index. Zbl 1014.53005Polthier, Konrad; Rossman, Wayne 22 2002 A mathematical webservice for recognizing the unknot. Zbl 1011.68175Andreeva, M. V.; Dynnikov, I. A.; Polthier, K. 2 2002 Touching soap films (Videotape VHS PAL/NTSC). Zbl 1042.53500Arnez, Andreas; Polthier, Konrad; Steffens, Martin; Teitzel, Christian 2 1999 Straightest geodesics on polyhedral surfaces. Zbl 0940.68153Polthier, Konrad; Schmies, Markus 17 1998 Compact constant mean curvature surfaces with low genus. Zbl 0898.53009Große-Brauckmann, Karsten; Polthier, Konrad 2 1997 Visualization and mathematics: experiments, simulations and environments. Zbl 0878.00014 1 1997 Construction of triply periodic minimal surfaces. Zbl 0869.53006Karcher, Hermann; Polthier, Konrad 8 1996 Numerical examples of compact surfaces of constant mean curvature. Zbl 0980.53012Grosse-Brauckmann, Karsten; Polthier, Konrad 4 1996 Geometric a priori estimates for hyperbolic minimal surfaces. Zbl 0831.53038Polthier, Konrad 2 1994 Computing discrete minimal surfaces and their conjugates. Zbl 0799.53008Pinkall, Ulrich; Polthier, Konrad 173 1993 New periodic minimal surfaces in \(H^ 3\). Zbl 0735.53006Polthier, Konrad 1 1991 all cited Publications top 5 cited Publications all top 5 Cited by 587 Authors 13 Polthier, Konrad 12 Bobenko, Alexander Ivanovich 9 Kimmel, Ron 8 Lui, Lok Ming 8 Yau, Shing-Tung 7 Choi, Gary Pui-Tung 6 Gu, Xianfeng 6 Karčiauskas, Kęstutis 6 Luo, Feng 6 Peters, Jorg 6 Wardetzky, Max 6 Xu, Guoliang 5 Gotsman, Craig 5 Hormann, Kai 5 Pottmann, Helmut 5 Wallner, Johannes 4 Glickenstein, David 4 Luo, Zhongxuan 4 Rumpf, Martin 4 Springborn, Boris Andre 3 Aflalo, Yonathan 3 An, Phan Thanh 3 Bommes, David 3 Bronstein, Michael M. 3 Buet, Blanche 3 Chen, Renjie 3 Gravouil, Anthony 3 Hildebrandt, Klaus 3 Jikumaru, Yoshiki 3 Kobbelt, Leif 3 Lei, Na 3 Lin, Wen-Wei 3 Lipman, Yaron 3 Liu, Ligang 3 Masnou, Simon 3 Mikula, Karol 3 Rochette, Michel 3 Schaefer, Scott 3 Schumacher, Henrik 3 Warren, Joe D. 3 Yueh, Mei-Heng 3 Zeng, Wei 3 Zorin, Denis N. 2 Anisimov, Dmitry 2 Baird, Paul 2 Belyaev, Alexander G. 2 Bronstein, Alexander M. 2 Bücking, Ulrike 2 Campen, Marcel 2 Carl, Wolfgang 2 Cartade, Colin 2 Cazals, Frédéric 2 Chen, Ruizhi 2 Chen, Sheng-Gwo 2 Chi, Mei-Hsiu 2 Desbrun, Mathieu 2 Dubrovina, Anastasia 2 Dziuk, Gerhard 2 Elguedj, Thomas 2 Emmer, Michele 2 Fayolle, Pierre-Alain 2 Floater, Michael S. 2 Gortler, Steven J. 2 Götschel, Sebastian 2 Grinspun, Eitan 2 Große-Brauckmann, Karsten 2 Gu, David Xianfeng 2 Gu, Xianfeng David 2 Guo, Xu 2 He, Ying 2 Hoffmann, Tim 2 Hutchinson, John Edward 2 Jiang, Caigui 2 Ju, Tao 2 Kosinka, Jiří 2 Lachaud, Jacques-Olivier 2 Leonardi, Gian Paolo 2 Malgouyres, Rémy 2 Mercat, Christian 2 Morigi, Serena 2 Nieser, Matthias 2 Panozzo, Daniele 2 Patané, Giuseppe 2 Pinkall, Ulrich 2 Raviv, Dan 2 Ray, Nicolas 2 Renka, Robert J. 2 Rossman, Wayne 2 Sabin, Malcolm A. 2 Salvi, Péter 2 Samir, Chafik 2 Schmidt, Stephan 2 Schneider, Teseo 2 Schröder, Peter 2 Seidel, Hans-Peter 2 Shtern, Alon 2 Sipos, Ágoston 2 Skopenkov, Mikhail B. 2 Skrodzki, Martin 2 Sokolev, Dmitry ...and 487 more Authors all top 5 Cited in 107 Serials 59 Computer Aided Geometric Design 14 ACM Transactions on Graphics 13 Computer Methods in Applied Mechanics and Engineering 13 Discrete & Computational Geometry 10 SIAM Journal on Imaging Sciences 8 Journal of Scientific Computing 8 Journal of Mathematical Imaging and Vision 7 SIAM Journal on Scientific Computing 5 Mathematics of Computation 5 Journal of Computational and Applied Mathematics 5 Applied Numerical Mathematics 4 Journal of Computational Physics 4 Geometriae Dedicata 4 Numerische Mathematik 4 Advances in Computational Mathematics 3 Archive for Rational Mechanics and Analysis 3 Computers & Mathematics with Applications 3 Advances in Mathematics 3 Computing 3 Transactions of the American Mathematical Society 3 Differential Geometry and its Applications 2 International Journal for Numerical Methods in Engineering 2 Journal of Optimization Theory and Applications 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Zeitschrift 2 SIAM Journal on Numerical Analysis 2 Tôhoku Mathematical Journal. Second Series 2 Topology and its Applications 2 Computational Mechanics 2 Computational Geometry 2 Applied Mathematical Modelling 2 Experimental Mathematics 2 Calculus of Variations and Partial Differential Equations 2 International Journal of Computer Vision 2 Geometry & Topology 2 Nexus Network Journal 2 Computational Methods and Function Theory 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Journal of Zhejiang University. Science A 2 Axioms 1 Inverse Problems 1 Journal of Engineering Mathematics 1 Journal of Fluid Mechanics 1 Journal of Mathematical Physics 1 Mathematische Semesterberichte 1 Bulletin of Mathematical Biology 1 The Mathematical Intelligencer 1 Beiträge zur Algebra und Geometrie 1 Calcolo 1 Canadian Journal of Mathematics 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematics and Computers in Simulation 1 Michigan Mathematical Journal 1 Monatshefte für Mathematik 1 Numerical Functional Analysis and Optimization 1 Tokyo Journal of Mathematics 1 Chinese Annals of Mathematics. Series B 1 Journal of the American Mathematical Society 1 Mathematical and Computer Modelling 1 SIAM Journal on Discrete Mathematics 1 Machine Learning 1 Journal of Global Optimization 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Computational Mathematics and Mathematical Physics 1 International Journal of Computer Mathematics 1 Linear Algebra and its Applications 1 Pattern Recognition 1 Bulletin of the American Mathematical Society. New Series 1 Computer Graphics Forum 1 Journal of Knot Theory and its Ramifications 1 SIAM Journal on Optimization 1 Computational Optimization and Applications 1 Applied Mathematics. Series B (English Edition) 1 Applied and Computational Harmonic Analysis 1 St. Petersburg Mathematical Journal 1 Computational and Applied Mathematics 1 Advances in Applied Clifford Algebras 1 Journal of Convex Analysis 1 Engineering Analysis with Boundary Elements 1 Discrete and Continuous Dynamical Systems 1 Mathematical Problems in Engineering 1 Computing and Visualization in Science 1 Abstract and Applied Analysis 1 Mathematical Physics, Analysis and Geometry 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Archives of Computational Methods in Engineering 1 Foundations of Computational Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Applied Mathematics 1 JP Journal of Geometry and Topology 1 Milan Journal of Mathematics 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Inverse Problems in Science and Engineering 1 GAMM-Mitteilungen 1 Journal of Mathematics and the Arts 1 Mathematics in Computer Science 1 Complex Analysis and Operator Theory 1 Discrete and Continuous Dynamical Systems. Series S 1 Advances in Adaptive Data Analysis ...and 7 more Serials all top 5 Cited in 40 Fields 188 Numerical analysis (65-XX) 91 Differential geometry (53-XX) 87 Computer science (68-XX) 48 Convex and discrete geometry (52-XX) 32 Calculus of variations and optimal control; optimization (49-XX) 22 Partial differential equations (35-XX) 22 Global analysis, analysis on manifolds (58-XX) 16 Mechanics of deformable solids (74-XX) 14 Manifolds and cell complexes (57-XX) 13 Information and communication theory, circuits (94-XX) 12 Functions of a complex variable (30-XX) 12 Fluid mechanics (76-XX) 9 Combinatorics (05-XX) 8 General and overarching topics; collections (00-XX) 8 Operations research, mathematical programming (90-XX) 7 Geometry (51-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Difference and functional equations (39-XX) 6 Approximations and expansions (41-XX) 6 Biology and other natural sciences (92-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 Statistics (62-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Group theory and generalizations (20-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Potential theory (31-XX) 2 Ordinary differential equations (34-XX) 2 Relativity and gravitational theory (83-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Operator theory (47-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.