Edit Profile (opens in new tab) Pottmann, Helmut Co-Author Distance Author ID: pottmann.helmut Published as: Pottmann, Helmut; Pottmann, H. External Links: MGP · ORCID · Wikidata · dblp · GND · IdRef Documents Indexed: 135 Publications since 1982, including 3 Books and 5 Additional arXiv Preprints 1 Contribution as Editor Reviewing Activity: 6 Reviews Co-Authors: 75 Co-Authors with 93 Joint Publications 1,365 Co-Co-Authors all top 5 Co-Authors 42 single-authored 24 Wallner, Johannes 9 Peternell, Martin 7 Ravani, Bahram 5 Hofer, Michael 5 Skopenkov, Mikhail B. 4 Chen, Horng-Yang 3 Bobenko, Alexander Ivanovich 3 Farouki, Rida T. 3 Grohs, Philipp 3 Hu, Shimin 3 Leopoldseder, Stefan 3 Michels, Dominik Ludewig 3 Opitz, Karsten 3 Pirahmad, Olimjoni 3 Rath, Wolfgang 3 Wagner, Michael G. 3 Wang, Hui 3 Yang, Yongliang 2 Hamann, Bernd 2 Huang, Qixing 2 Jiang, Caigui 2 Joy, Kenneth I. 2 Lee, In-Kwon 2 Nawratil, Georg 2 Odehnal, Boris 2 Randrup, Thomas 2 Röschel, Otto 2 Shi, Ling 2 Sun, Xiang 1 Aikyn, Alisher 1 al-Kandari, Mohammad 1 Barnes, J. C. 1 Barnhill, Robert E. 1 Barton, Michael H. 1 Blaschitz, Bernhard 1 Bo, Pengbo 1 Brell-Cokcan, Sigrid 1 Eberharter, Johannes K. 1 Eck, Matthias 1 Farin, Gerald E. 1 Gavriil, Konstantinos 1 Glaeser, Georg 1 Gomes, Alexandra A. 1 Hagen, Hans-Juergen 1 Haider, Christoph 1 Hanbury, Allan G. 1 Hering-Bertram, Martin 1 Hoschek, Josef 1 Jimenez, Michael Robert 1 Käferböck, Florian 1 Kolb, Andreas 1 Krasauskas, Rimvydas 1 Lai, Yu-Kun 1 Liu, Yang 1 Liu, Yang 1 Lu, Wei 1 Lutz, Carl O. R. 1 Lyakhov, Dmitry A. 1 Mazure, Marie-Laurence 1 Mitra, Niloy J. 1 Mühlthaler, Heidrun 1 Neamtu, Marian 1 Paukowitsch, Peter 1 Rist, Florian 1 Rörig, Thilo 1 Schiftner, Alexander 1 Schumaker, Larry L. 1 Seibold, Wolfgang 1 Seidel, Hans-Peter 1 Smith, Tait S. 1 Steiner, Tibor 1 Tang, Chengcheng 1 Techter, Jan 1 Wang, Jun 1 Yorov, Khusrav all top 5 Serials 28 Computer Aided Geometric Design 6 Beiträge zur Algebra und Geometrie 6 Monatshefte für Mathematik 6 Sitzungsberichte. Abteilung II. Österreichische Akademie der Wissenschaften, Mathematisch-Naturwissenschaftliche Klasse 5 CAD. Computer-Aided Design 5 Advances in Computational Mathematics 2 Časopis Pro Pěstování Matematiky 2 Journal of Computational and Applied Mathematics 2 Results in Mathematics 2 Rad. Matematicke Znanosti 2 ACM Transactions on Graphics 2 Constructive Approximation 2 Discrete & Computational Geometry 2 Elemente der Mathematik 2 Mathematics and Visualization 1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 1 Advances in Mathematics 1 Aplikace Matematiky 1 Archiv der Mathematik 1 Computing 1 Journal of Geometry 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Studia Scientiarum Mathematicarum Hungarica 1 Journal of Symbolic Computation 1 International Journal of Computational Geometry & Applications 1 Abhandlungen der Braunschweigischen Wissenschaftlichen Gesellschaft 1 Anzeiger der Österreichischen Akademie der Wissenschaften. Mathematisch-Naturwissenschaftliche Klasse 1 International Journal of Computer Vision 1 Mathematical Engineering in Industry 1 Reliable Computing 1 Graphical Models and Image Processing 1 Journal for Geometry and Graphics 1 Mechanism and Machine Theory 1 Nexus Network Journal 1 Graphical Models 1 RACSAM. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas 1 Journal of Mathematics in Industry 1 SpringerBriefs in Mathematics all top 5 Fields 66 Differential geometry (53-XX) 54 Numerical analysis (65-XX) 38 Computer science (68-XX) 26 Geometry (51-XX) 14 Approximations and expansions (41-XX) 8 General and overarching topics; collections (00-XX) 8 Convex and discrete geometry (52-XX) 6 Mechanics of particles and systems (70-XX) 3 Mathematics education (97-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 106 Publications have been cited 1,089 times in 691 Documents Cited by ▼ Year ▼ Computational line geometry. Zbl 1006.51015 Pottmann, Helmut; Wallner, Johannes 120 2001 Rational curves and surfaces with rational offsets. Zbl 0872.65011 Pottmann, Helmut 95 1995 The geometry of Tchebycheffian splines. Zbl 0777.41016 Pottmann, Helmut 71 1993 A Laguerre geometric approach to rational offsets. Zbl 0903.68190 Peternell, Martin; Pottmann, Helmut 47 1998 Applications of Laguerre geometry in CAGD. Zbl 0996.65018 Pottmann, Helmut; Peternell, Martin 44 1998 Computing rational parametrizations of canal surfaces. Zbl 0877.68116 Peternell, Martin; Pottmann, Helmut 37 1997 Laguerre minimal surfaces, isotropic geometry and linear elasticity. Zbl 1425.65034 Pottmann, Helmut; Grohs, Philipp; Mitra, Niloy J. 35 2009 A curvature theory for discrete surfaces based on mesh parallelity. Zbl 1219.51014 Bobenko, Alexander I.; Pottmann, Helmut; Wallner, Johannes 30 2010 Helix splines as an example of affine Tchebycheffian splines. Zbl 0832.65008 Pottmann, Helmut; Wagner, Michael G. 29 1994 Integral invariants for robust geometry processing. Zbl 1205.53012 Pottmann, Helmut; Wallner, Johannes; Huang, Qi-Xing; Yang, Yong-Liang 27 2009 Curve design with rational Pythagorean-hodograph curves. Zbl 0831.65013 Pottmann, Helmut 27 1995 Tchebycheff curves. Zbl 0902.41018 Mazure, Marie-Laurence; Pottmann, Helmut 25 1996 Darboux cyclides and webs from circles. Zbl 1244.65026 Pottmann, Helmut; Shi, Ling; Skopenkov, Mikhail 25 2012 Developable rational Bézier and B-spline surfaces. Zbl 0875.68847 Pottmann, Helmut; Farin, Gerald 23 1995 Approximation algorithms for developable surfaces. Zbl 0997.65032 Pottmann, Helmut; Wallner, Johannes 19 1999 Principal curvatures from the integral invariant viewpoint. Zbl 1171.65350 Pottmann, Helmut; Wallner, Johannes; Yang, Yong-Liang; Lai, Yu-Kun; Hu, Shi-Min 16 2007 Modified multiquadric methods for scattered data interpolation over a sphere. Zbl 0714.65010 Pottmann, Helmut; Eck, Matthias 16 1990 Computational line geometry. 2nd printing. Zbl 1175.51014 Pottmann, Helmut; Wallner, Johannes 15 2010 The focal geometry of circular and conical meshes. Zbl 1159.65023 Pottmann, Helmut; Wallner, Johannes 15 2008 Discrete surfaces in isotropic geometry. Zbl 1163.68359 Pottmann, Helmut; Liu, Yang 15 2007 Projectively invariant classes of geometric continuity for CAGD. Zbl 0684.65011 Pottmann, Helmut 13 1989 Exact Minkowski products of \(N\) complex disks. Zbl 1028.65048 Farouki, Rida T.; Pottmann, Helmut 13 2002 Applications of the dual Bézier representation of rational curves and surfaces. Zbl 0813.65047 Pottmann, Helmut 12 1994 Curvature analysis and visualization for functions defined on Euclidean spaces or surfaces. Zbl 0875.68825 Pottmann, Helmut; Opitz, Karsten 12 1994 Infinitesimally flexible meshes and discrete minimal surfaces. Zbl 1151.53011 Wallner, Johannes; Pottmann, Helmut 11 2008 A variational approach to spline curves on surfaces. Zbl 1083.65016 Pottmann, Helmut; Hofer, Michael 11 2005 Pipe surfaces with rational spine curve are rational. Zbl 0900.68410 Lü, Wei; Pottmann, Helmut 11 1996 Polynomial and rational Pythagorean-hodograph curves reconciled. Zbl 0878.68120 Farouki, Rida T.; Pottmann, Helmut 11 1996 On the computational geometry of ruled surfaces. Zbl 1054.68749 Peternell, Martin; Pottmann, Helmut; Ravani, Bahram 11 1999 Geometry of the squared distance function to curves and surfaces. Zbl 1069.53001 Pottmann, Helmut; Hofer, Michael 10 2003 Holditch-Sicheln. Zbl 0542.53008 Pottmann, Helmut 9 1985 A concept for parametric surface Fitting which avoids the parametrization problem. Zbl 1069.65531 Pottmann, Helmut; Leopoldseder, Stefan 8 2003 Zum Satz von Holditch in der euklidischen Ebene. Zbl 0584.53005 Pottmann, Helmut 8 1986 Locally controllable conic splines with curvature continuity. Zbl 0736.68077 Pottmann, Helmut 8 1991 Approximation by ruled surfaces. Zbl 0934.65017 Chen, Horng-Yang; Pottmann, Helmut 7 1999 Interpolation on surfaces using minimum norm network. Zbl 0765.65010 Pottmann, Helmut 7 1992 Edge offset meshes in Laguerre geometry. Zbl 1213.68654 Pottmann, Helmut; Grohs, Philipp; Blaschitz, Bernhard 7 2010 Curvature continuous triangular interpolants. Zbl 0675.41002 Hagen, Hans; Pottmann, Helmut 6 1989 Interpolation and approximation with developable B-spline surfaces. Zbl 0835.65006 Hoschek, Josef; Pottmann, Helmut 6 1995 Form-finding with polyhedral meshes made simple. Zbl 1396.65066 Tang, Chengcheng; Sun, Xiang; Gomes, Alexandra; Wallner, Johannes; Pottmann, Helmut 6 2014 On piecewise linear approximation of quadratic functions. Zbl 0961.65011 Pottmann, Helmut; Krasauskas, Rimvydas; Hamann, Bernd; Joy, Kenneth; Seibold, Wolfgang 6 2000 Symmetric Tchebycheffian \(B\)-spline schemes. Zbl 0814.65008 Wagner, Michael G.; Pottmann, Helmut 6 1994 Equiform kinematics and the geometry of line elements. Zbl 1122.53008 Odehnal, Boris; Pottmann, Helmut; Wallner, Johannes 6 2006 Scattered data interpolation based upon generalized minimum norm networks. Zbl 0725.65008 Pottmann, Helmut 6 1991 Studying NURBS curves and surfaces with classical geometry. Zbl 0835.65037 Pottmann, Helmut 5 1995 Geometry and convergence analysis of algorithms for registration of 3D shapes. Zbl 1478.68426 Pottmann, Helmut; Huang, Qi-Xing; Yang, Yong-Liang; Hu, Shi-Min 5 2006 Ebene äquiforme Zwangläufe im Großen. I. Zbl 0589.53009 Pottmann, Helmut 5 1986 A projective algorithm for curvature continuous rational splines. Zbl 0769.41012 Pottmann, Helmut 5 1991 Designing rational surfaces with rational offsets. Zbl 1273.65028 Peternell, Martin; Pottmann, Helmut 4 1996 Ruled Laguerre minimal surfaces. Zbl 1264.53020 Skopenkov, Mikhail; Pottmann, Helmut; Grohs, Philipp 4 2012 Piecewise optimal triangulation for the approximation of scattered data in the plane. Zbl 0948.68183 Bertram, M.; Barnes, J. C.; Hamann, B.; Joy, K. I.; Pottmann, H. 4 2000 Rational blending surfaces between quadrics. Zbl 0896.65010 Wallner, Johannes; Pottmann, Helmut 4 1997 The isophotic metric and its application to feature sensitive morphology on surfaces. Zbl 1098.68843 Pottmann, Helmut; Steiner, Tibor; Hofer, Michael; Haider, Christoph; Hanbury, Allan 4 2004 Discrete surfaces for architectural design. Zbl 1130.65032 Pottmann, Helmut; Brell-Cokcan, Sigrid; Wallner, Johannes 4 2007 Singularities of motions constrained by contacting surfaces. Zbl 1047.70559 Pottmann, Helmut; Ravani, Bahram 4 2000 Approximation of developable surfaces with cone spline surfaces. Zbl 1083.65504 Leopoldseder, Stefan; Pottmann, Helmut 4 1998 Multi-nets. Classification of discrete and smooth surfaces with characteristic properties on arbitrary parameter rectangles. Zbl 1440.53012 Bobenko, Alexander I.; Pottmann, Helmut; Rörig, Thilo 4 2020 Smooth surfaces from bilinear patches: discrete affine minimal surfaces. Zbl 1291.65058 Käferböck, Florian; Pottmann, Helmut 4 2013 An affine kinematic mapping. II. (Eine affine kinematische Abbildung. II.) Zbl 0674.53008 Pottmann, Helmut; Rath, Wolfgang 3 1988 On surface approximation using developable surfaces. Zbl 0978.68576 Chen, H.-Y.; Lee, I.-K.; Leopoldseder, S.; Pottmann, H.; Randrup, T.; Wallner, J. 3 1999 Spline orbifolds. Zbl 0938.65042 Wallner, Johannes; Pottmann, Helmut 3 1997 Inflections of planar surface curves. Zbl 0906.68159 Pottmann, Helmut; Paukowitsch, Peter 3 1997 Rotational and helical surface approximation for reverse engineering. Zbl 0906.68176 Pottmann, H.; Randrup, T. 3 1998 Principal surfaces. Zbl 0982.53005 Pottmann, H.; Wagner, M. G. 3 1997 Subdivision schemes for the fair discretization of the spherical motion group. Zbl 1156.65019 Nawratil, Georg; Pottmann, Helmut 3 2008 Geometric computing for freeform architecture. Zbl 1269.00008 Wallner, Johannes; Pottmann, Helmut 3 2011 Discretizations of surfaces with constant ratio of principal curvatures. Zbl 1436.52016 Jimenez, Michael R.; Müller, Christian; Pottmann, Helmut 3 2020 Smooth polyhedral surfaces. Zbl 1433.52017 Günther, Felix; Jiang, Caigui; Pottmann, Helmut 3 2020 Öffnungsvarianten der Bahnregelflächen euklidischer Zwangläufe. (Aperture invariants for ruled surfaces representing trajectories of constrained Euclidean motions). Zbl 0674.53006 Pottmann, Helmut; Röschel, Otto 2 1988 Zwei Verallgemeinerungen der Böschungslinien. Zbl 0515.53002 Pottmann, Helmut 2 1982 Generalized penetration depth computation based on kinematical geometry. Zbl 1205.70007 Nawratil, Georg; Pottmann, Helmut; Ravani, Bahram 2 2009 Approximation by profile surfaces. Zbl 0959.65022 Pottmann, H.; Chen, H.-Y.; Lee, I.-K. 2 1998 Geometric design of motions constrained by a contacting surface pair. Zbl 1069.65555 Hofer, Michael; Pottmann, Helmut; Ravani, Bahram 2 2003 Dual focal splines and rational curves with rational offsets. Zbl 0940.65010 Neamtu, Marian; Pottmann, Helmut; Schumaker, Larry L. 2 1998 Computing the Minkowski sum of ruled surfaces. Zbl 1069.68110 Mühlthaler, Heidrun; Pottmann, Helmut 2 2003 Variational interpolation of subsets. Zbl 1067.41010 Wallner, Johannes; Pottmann, Helmut 2 2004 Line geometry for 3D shape understanding and reconstruction. Zbl 1098.68842 Pottmann, Helmut; Hofer, Michael; Odehnal, Boris; Wallner, Johannes 2 2004 Ein isotropes Analogon zum Satz von Holditch. (An isotropic counterpart to Holditch’s theorem). Zbl 0586.53004 Pottmann, Helmut 2 1986 Ebene äquiforme Zwangläufe im Grossen. II. (Equiform positive movements in the large. II). Zbl 0616.53010 Pottmann, Helmut 2 1987 Über Zindler-Kurven in euklidischen Räumen. (On Zindler curves in Euclidean spaces). Zbl 0619.53003 Pottmann, Helmut 2 1988 Fat surfaces: A trivariate approach to triangle-based interpolation on surfaces. Zbl 0762.65002 Barnhill, Robert E.; Opitz, Karsten; Pottmann, Helmut 2 1992 Computing shortest paths on polyhedra: Applications in geometric modeling and scientific visualization. Zbl 0834.68117 Opitz, Karsten; Pottmann, Helmut 2 1994 Collision-free 3-axis milling and selection of cutting tools. Zbl 1053.68757 Glaeser, Georg; Wallner, Johannes; Pottmann, Helmut 2 1999 An introduction to line geometry with applications. Zbl 1054.68750 Pottmann, Helmut; Peternell, Martin; Ravani, Bahram 2 1999 Characteristic parameterizations of surfaces with a constant ratio of principal curvatures. Zbl 1489.65045 Wang, Hui; Pottmann, Helmut 2 2022 Non-Euclidean Laguerre geometry and incircular nets. Zbl 1492.51001 Bobenko, Alexander I.; Lutz, Carl O. R.; Pottmann, Helmut; Techter, Jan 2 2021 Characterizing envelopes of moving rotational cones and applications in CNC machining. Zbl 1467.65015 Skopenkov, Mikhail; Bo, Pengbo; Bartoň, Michael; Pottmann, Helmut 2 2020 Interpolierende Kurven und Flächen mit geometrischer Stetigkeit höherer Ordnung. (Interpolation curves and surfaces with geometric continuity of higher degree). Zbl 0672.41007 Pottmann, Helmut 1 1988 Remarks on the theorem of Jacobi and Scherrer on the image of the principal normals of a space curve. (Bemerkungen zum Satz von Jacobi und Scherrer über das Hauptnormalenbild einer Raumkurve.) Zbl 0676.53001 Pottmann, Helmut 1 1988 Ebene konvexe Affinzwangläufe. (Planar affine constrained motions). Zbl 0682.53011 Pottmann, Helmut; Rath, Wolfgang 1 1989 Über affine zykloidale Radlinien. Zbl 0514.53005 Pottmann, Helmut 1 1982 Höhere Spiraloiden. Zbl 0526.53003 Pottmann, Helmut 1 1983 Zur Geometrie höherer Planetenumschwungbewegungen. Zbl 0529.53008 Pottmann, Helmut 1 1984 Über Geradenhüllbahnen bei ebenen äquiformen Zwangläufen. Zbl 0539.53009 Pottmann, Helmut 1 1983 Verallgemeinerte Böschungslinien, die geodätische Linien eines Kegels sind. Zbl 0552.53003 Pottmann, Helmut 1 1983 Global properties of plane isotropic positive movements. (Globale Eigenschaften ebener isotroper Zwangläufe.) Zbl 0554.53005 Pottmann, H.; Röschel, O. 1 1986 Approximation in line space-applications in robot kinematics and surface reconstruction. Zbl 0927.51029 Pottmann, H.; Peternell, M.; Ravani, B. 1 1998 Approximation in the space of planes: applications to geometric modeling and reverse engineering. Zbl 1134.65308 Peternell, Martin; Pottmann, Helmut 1 2002 Die Öffnungsstrecken der Bahnregelflächen geschlossener räumlicher äquiformer Zwangläufe. (The aperture ratio of the ruled surfaces, generated by closed spatial equiform motions). Zbl 0588.53010 Pottmann, Helmut 1 1986 Global properties of spherically constrained motions. (Globale Eigenschaften sphärischer Zwangläufe.) Zbl 0713.53009 Pottmann, Helmut 1 1989 Characteristic parameterizations of surfaces with a constant ratio of principal curvatures. Zbl 1489.65045 Wang, Hui; Pottmann, Helmut 2 2022 Non-Euclidean Laguerre geometry and incircular nets. Zbl 1492.51001 Bobenko, Alexander I.; Lutz, Carl O. R.; Pottmann, Helmut; Techter, Jan 2 2021 Multi-nets. Classification of discrete and smooth surfaces with characteristic properties on arbitrary parameter rectangles. Zbl 1440.53012 Bobenko, Alexander I.; Pottmann, Helmut; Rörig, Thilo 4 2020 Discretizations of surfaces with constant ratio of principal curvatures. Zbl 1436.52016 Jimenez, Michael R.; Müller, Christian; Pottmann, Helmut 3 2020 Smooth polyhedral surfaces. Zbl 1433.52017 Günther, Felix; Jiang, Caigui; Pottmann, Helmut 3 2020 Characterizing envelopes of moving rotational cones and applications in CNC machining. Zbl 1467.65015 Skopenkov, Mikhail; Bo, Pengbo; Bartoň, Michael; Pottmann, Helmut 2 2020 Vertex normals and face curvatures of triangle meshes. Zbl 1356.53015 Sun, Xiang; Jiang, Caigui; Wallner, Johannes; Pottmann, Helmut 1 2016 Form-finding with polyhedral meshes made simple. Zbl 1396.65066 Tang, Chengcheng; Sun, Xiang; Gomes, Alexandra; Wallner, Johannes; Pottmann, Helmut 6 2014 Smooth surfaces from rational bilinear patches. Zbl 1284.65037 Shi, Ling; Wang, Jun; Pottmann, Helmut 1 2014 Smooth surfaces from bilinear patches: discrete affine minimal surfaces. Zbl 1291.65058 Käferböck, Florian; Pottmann, Helmut 4 2013 Architectural geometry and fabrication-aware design. Zbl 1298.00073 Pottmann, Helmut 1 2013 Darboux cyclides and webs from circles. Zbl 1244.65026 Pottmann, Helmut; Shi, Ling; Skopenkov, Mikhail 25 2012 Ruled Laguerre minimal surfaces. Zbl 1264.53020 Skopenkov, Mikhail; Pottmann, Helmut; Grohs, Philipp 4 2012 Geometric computing for freeform architecture. Zbl 1269.00008 Wallner, Johannes; Pottmann, Helmut 3 2011 A curvature theory for discrete surfaces based on mesh parallelity. Zbl 1219.51014 Bobenko, Alexander I.; Pottmann, Helmut; Wallner, Johannes 30 2010 Computational line geometry. 2nd printing. Zbl 1175.51014 Pottmann, Helmut; Wallner, Johannes 15 2010 Edge offset meshes in Laguerre geometry. Zbl 1213.68654 Pottmann, Helmut; Grohs, Philipp; Blaschitz, Bernhard 7 2010 Architecture with free shapes and mathematics. (Freiformarchitektur und Mathematik.) Zbl 1195.00064 Pottmann, Helmut; Wallner, Johannes 1 2010 Laguerre minimal surfaces, isotropic geometry and linear elasticity. Zbl 1425.65034 Pottmann, Helmut; Grohs, Philipp; Mitra, Niloy J. 35 2009 Integral invariants for robust geometry processing. Zbl 1205.53012 Pottmann, Helmut; Wallner, Johannes; Huang, Qi-Xing; Yang, Yong-Liang 27 2009 Generalized penetration depth computation based on kinematical geometry. Zbl 1205.70007 Nawratil, Georg; Pottmann, Helmut; Ravani, Bahram 2 2009 The focal geometry of circular and conical meshes. Zbl 1159.65023 Pottmann, Helmut; Wallner, Johannes 15 2008 Infinitesimally flexible meshes and discrete minimal surfaces. Zbl 1151.53011 Wallner, Johannes; Pottmann, Helmut 11 2008 Subdivision schemes for the fair discretization of the spherical motion group. Zbl 1156.65019 Nawratil, Georg; Pottmann, Helmut 3 2008 Principal curvatures from the integral invariant viewpoint. Zbl 1171.65350 Pottmann, Helmut; Wallner, Johannes; Yang, Yong-Liang; Lai, Yu-Kun; Hu, Shi-Min 16 2007 Discrete surfaces in isotropic geometry. Zbl 1163.68359 Pottmann, Helmut; Liu, Yang 15 2007 Discrete surfaces for architectural design. Zbl 1130.65032 Pottmann, Helmut; Brell-Cokcan, Sigrid; Wallner, Johannes 4 2007 Equiform kinematics and the geometry of line elements. Zbl 1122.53008 Odehnal, Boris; Pottmann, Helmut; Wallner, Johannes 6 2006 Geometry and convergence analysis of algorithms for registration of 3D shapes. Zbl 1478.68426 Pottmann, Helmut; Huang, Qi-Xing; Yang, Yong-Liang; Hu, Shi-Min 5 2006 A variational approach to spline curves on surfaces. Zbl 1083.65016 Pottmann, Helmut; Hofer, Michael 11 2005 The isophotic metric and its application to feature sensitive morphology on surfaces. Zbl 1098.68843 Pottmann, Helmut; Steiner, Tibor; Hofer, Michael; Haider, Christoph; Hanbury, Allan 4 2004 Variational interpolation of subsets. Zbl 1067.41010 Wallner, Johannes; Pottmann, Helmut 2 2004 Line geometry for 3D shape understanding and reconstruction. Zbl 1098.68842 Pottmann, Helmut; Hofer, Michael; Odehnal, Boris; Wallner, Johannes 2 2004 Special issue: Geometric modeling and processing 2004. Selected papers based on the presentation at the international conference GMP 2004, Beijing, China, April 13–15, 2004. Zbl 1080.65504 1 2004 Geometry of the squared distance function to curves and surfaces. Zbl 1069.53001 Pottmann, Helmut; Hofer, Michael 10 2003 A concept for parametric surface Fitting which avoids the parametrization problem. Zbl 1069.65531 Pottmann, Helmut; Leopoldseder, Stefan 8 2003 Geometric design of motions constrained by a contacting surface pair. Zbl 1069.65555 Hofer, Michael; Pottmann, Helmut; Ravani, Bahram 2 2003 Computing the Minkowski sum of ruled surfaces. Zbl 1069.68110 Mühlthaler, Heidrun; Pottmann, Helmut 2 2003 Exact Minkowski products of \(N\) complex disks. Zbl 1028.65048 Farouki, Rida T.; Pottmann, Helmut 13 2002 Approximation in the space of planes: applications to geometric modeling and reverse engineering. Zbl 1134.65308 Peternell, Martin; Pottmann, Helmut 1 2002 Computational line geometry. Zbl 1006.51015 Pottmann, Helmut; Wallner, Johannes 120 2001 On piecewise linear approximation of quadratic functions. Zbl 0961.65011 Pottmann, Helmut; Krasauskas, Rimvydas; Hamann, Bernd; Joy, Kenneth; Seibold, Wolfgang 6 2000 Piecewise optimal triangulation for the approximation of scattered data in the plane. Zbl 0948.68183 Bertram, M.; Barnes, J. C.; Hamann, B.; Joy, K. I.; Pottmann, H. 4 2000 Singularities of motions constrained by contacting surfaces. Zbl 1047.70559 Pottmann, Helmut; Ravani, Bahram 4 2000 Approximation algorithms for developable surfaces. Zbl 0997.65032 Pottmann, Helmut; Wallner, Johannes 19 1999 On the computational geometry of ruled surfaces. Zbl 1054.68749 Peternell, Martin; Pottmann, Helmut; Ravani, Bahram 11 1999 Approximation by ruled surfaces. Zbl 0934.65017 Chen, Horng-Yang; Pottmann, Helmut 7 1999 On surface approximation using developable surfaces. Zbl 0978.68576 Chen, H.-Y.; Lee, I.-K.; Leopoldseder, S.; Pottmann, H.; Randrup, T.; Wallner, J. 3 1999 Collision-free 3-axis milling and selection of cutting tools. Zbl 1053.68757 Glaeser, Georg; Wallner, Johannes; Pottmann, Helmut 2 1999 An introduction to line geometry with applications. Zbl 1054.68750 Pottmann, Helmut; Peternell, Martin; Ravani, Bahram 2 1999 A Laguerre geometric approach to rational offsets. Zbl 0903.68190 Peternell, Martin; Pottmann, Helmut 47 1998 Applications of Laguerre geometry in CAGD. Zbl 0996.65018 Pottmann, Helmut; Peternell, Martin 44 1998 Approximation of developable surfaces with cone spline surfaces. Zbl 1083.65504 Leopoldseder, Stefan; Pottmann, Helmut 4 1998 Rotational and helical surface approximation for reverse engineering. Zbl 0906.68176 Pottmann, H.; Randrup, T. 3 1998 Approximation by profile surfaces. Zbl 0959.65022 Pottmann, H.; Chen, H.-Y.; Lee, I.-K. 2 1998 Dual focal splines and rational curves with rational offsets. Zbl 0940.65010 Neamtu, Marian; Pottmann, Helmut; Schumaker, Larry L. 2 1998 Approximation in line space-applications in robot kinematics and surface reconstruction. Zbl 0927.51029 Pottmann, H.; Peternell, M.; Ravani, B. 1 1998 Computing rational parametrizations of canal surfaces. Zbl 0877.68116 Peternell, Martin; Pottmann, Helmut 37 1997 Rational blending surfaces between quadrics. Zbl 0896.65010 Wallner, Johannes; Pottmann, Helmut 4 1997 Spline orbifolds. Zbl 0938.65042 Wallner, Johannes; Pottmann, Helmut 3 1997 Inflections of planar surface curves. Zbl 0906.68159 Pottmann, Helmut; Paukowitsch, Peter 3 1997 Principal surfaces. Zbl 0982.53005 Pottmann, H.; Wagner, M. G. 3 1997 Tchebycheff curves. Zbl 0902.41018 Mazure, Marie-Laurence; Pottmann, Helmut 25 1996 Pipe surfaces with rational spine curve are rational. Zbl 0900.68410 Lü, Wei; Pottmann, Helmut 11 1996 Polynomial and rational Pythagorean-hodograph curves reconciled. Zbl 0878.68120 Farouki, Rida T.; Pottmann, Helmut 11 1996 Designing rational surfaces with rational offsets. Zbl 1273.65028 Peternell, Martin; Pottmann, Helmut 4 1996 Rational curves and surfaces with rational offsets. Zbl 0872.65011 Pottmann, Helmut 95 1995 Curve design with rational Pythagorean-hodograph curves. Zbl 0831.65013 Pottmann, Helmut 27 1995 Developable rational Bézier and B-spline surfaces. Zbl 0875.68847 Pottmann, Helmut; Farin, Gerald 23 1995 Interpolation and approximation with developable B-spline surfaces. Zbl 0835.65006 Hoschek, Josef; Pottmann, Helmut 6 1995 Studying NURBS curves and surfaces with classical geometry. Zbl 0835.65037 Pottmann, Helmut 5 1995 Helix splines as an example of affine Tchebycheffian splines. Zbl 0832.65008 Pottmann, Helmut; Wagner, Michael G. 29 1994 Applications of the dual Bézier representation of rational curves and surfaces. Zbl 0813.65047 Pottmann, Helmut 12 1994 Curvature analysis and visualization for functions defined on Euclidean spaces or surfaces. Zbl 0875.68825 Pottmann, Helmut; Opitz, Karsten 12 1994 Symmetric Tchebycheffian \(B\)-spline schemes. Zbl 0814.65008 Wagner, Michael G.; Pottmann, Helmut 6 1994 Computing shortest paths on polyhedra: Applications in geometric modeling and scientific visualization. Zbl 0834.68117 Opitz, Karsten; Pottmann, Helmut 2 1994 The geometry of Tchebycheffian splines. Zbl 0777.41016 Pottmann, Helmut 71 1993 Interpolation on surfaces using minimum norm network. Zbl 0765.65010 Pottmann, Helmut 7 1992 Fat surfaces: A trivariate approach to triangle-based interpolation on surfaces. Zbl 0762.65002 Barnhill, Robert E.; Opitz, Karsten; Pottmann, Helmut 2 1992 Locally controllable conic splines with curvature continuity. Zbl 0736.68077 Pottmann, Helmut 8 1991 Scattered data interpolation based upon generalized minimum norm networks. Zbl 0725.65008 Pottmann, Helmut 6 1991 A projective algorithm for curvature continuous rational splines. Zbl 0769.41012 Pottmann, Helmut 5 1991 Modified multiquadric methods for scattered data interpolation over a sphere. Zbl 0714.65010 Pottmann, Helmut; Eck, Matthias 16 1990 Smooth curves under tension. Zbl 0717.65006 Pottmann, H. 1 1990 Projectively invariant classes of geometric continuity for CAGD. Zbl 0684.65011 Pottmann, Helmut 13 1989 Curvature continuous triangular interpolants. Zbl 0675.41002 Hagen, Hans; Pottmann, Helmut 6 1989 Ebene konvexe Affinzwangläufe. (Planar affine constrained motions). Zbl 0682.53011 Pottmann, Helmut; Rath, Wolfgang 1 1989 Global properties of spherically constrained motions. (Globale Eigenschaften sphärischer Zwangläufe.) Zbl 0713.53009 Pottmann, Helmut 1 1989 An affine kinematic mapping. II. (Eine affine kinematische Abbildung. II.) Zbl 0674.53008 Pottmann, Helmut; Rath, Wolfgang 3 1988 Öffnungsvarianten der Bahnregelflächen euklidischer Zwangläufe. (Aperture invariants for ruled surfaces representing trajectories of constrained Euclidean motions). Zbl 0674.53006 Pottmann, Helmut; Röschel, Otto 2 1988 Über Zindler-Kurven in euklidischen Räumen. (On Zindler curves in Euclidean spaces). Zbl 0619.53003 Pottmann, Helmut 2 1988 Interpolierende Kurven und Flächen mit geometrischer Stetigkeit höherer Ordnung. (Interpolation curves and surfaces with geometric continuity of higher degree). Zbl 0672.41007 Pottmann, Helmut 1 1988 Remarks on the theorem of Jacobi and Scherrer on the image of the principal normals of a space curve. (Bemerkungen zum Satz von Jacobi und Scherrer über das Hauptnormalenbild einer Raumkurve.) Zbl 0676.53001 Pottmann, Helmut 1 1988 Ebene äquiforme Zwangläufe im Grossen. II. (Equiform positive movements in the large. II). Zbl 0616.53010 Pottmann, Helmut 2 1987 Zum Satz von Holditch in der euklidischen Ebene. Zbl 0584.53005 Pottmann, Helmut 8 1986 Ebene äquiforme Zwangläufe im Großen. I. Zbl 0589.53009 Pottmann, Helmut 5 1986 Ein isotropes Analogon zum Satz von Holditch. (An isotropic counterpart to Holditch’s theorem). Zbl 0586.53004 Pottmann, Helmut 2 1986 Global properties of plane isotropic positive movements. (Globale Eigenschaften ebener isotroper Zwangläufe.) Zbl 0554.53005 Pottmann, H.; Röschel, O. 1 1986 Die Öffnungsstrecken der Bahnregelflächen geschlossener räumlicher äquiformer Zwangläufe. (The aperture ratio of the ruled surfaces, generated by closed spatial equiform motions). Zbl 0588.53010 Pottmann, Helmut 1 1986 Holditch-Sicheln. Zbl 0542.53008 Pottmann, Helmut 9 1985 ...and 6 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 822 Authors 49 Pottmann, Helmut 48 Mazure, Marie-Laurence 22 Lávička, Miroslav 21 Farouki, Rida T. 18 Jüttler, Bert 14 Šír, Zbyněk 13 Wallner, Johannes 12 Vršek, Jan 11 Ait-Haddou, Rachid 11 Bizzarri, Michal 11 Bobenko, Alexander Ivanovich 11 Wang, Guozhao 10 Alcazar, Juan Gerardo 10 Peternell, Martin 9 Abdel-Baky, Rashad A. 9 Kim, Gwang Il 9 Krasauskas, Rimvydas 9 Schröcker, Hans-Peter 9 Sendra, Juan Rafael 8 Beccari, Carolina Vittoria 8 Goldman, Ronald N. 7 Choi, Hyeong In 7 Kosinka, Jiří 7 Lachaud, Jacques-Olivier 7 Nawratil, Georg 6 Barton, Michael H. 6 Bastl, Bohumír 6 Han, Chang Yong 6 Lubbes, Niels 6 Schicho, Josef 5 Alluhaibi, Nadia 5 Aydin, Muhittin Evren 5 Bo, Pengbo 5 Casciola, Giulio 5 Erişir, Tülay 5 Hertrich-Jeromin, Udo J. 5 Hu, Gang 5 Meek, Dereck S. 5 Pérez-Díaz, Sonia 5 Sánchez-Reyes, Javier 5 Wang, Wenping 4 Aumann, Günter 4 Betten, Dieter 4 Fang, Lincong 4 Foley, Thomas A. 4 Gungor, Mehmet Ali 4 Hoffmann, Miklós 4 Hu, Shimin 4 Krajnc, Marjeta 4 Kwon, Song-Hwa 4 Lee, Sunhong 4 Lu, Wei 4 Mofarreh, Fatemah Y. Y. 4 Odehnal, Boris 4 Paluszny, Marco 4 Ravani, Bahram 4 Riesinger, Rolf 4 Rochera, David 4 Rossman, Wayne 4 Sampoli, Maria Lucia 4 Scharler, Daniel F. 4 Sendra, Juana 4 Skopenkov, Mikhail B. 4 Yang, Seong-Deog 4 Yoon, Dae Won 3 Ahn, Young Joon 3 Aigner, Martin 3 Biard, Luc 3 Cao, Huanxin 3 Cao, Juan 3 Cho, Joseph 3 Dahl, Heidi E. I. 3 Fernández-Jambrina, Leonardo 3 Goaoc, Xavier 3 Gravesen, Jens 3 Grohs, Philipp 3 Hamann, Marco 3 Hofer, Michael 3 İncesu, Muhsin 3 Jia, Xiaohong 3 Karpenkov, Oleg Nikolaevich 3 Kim, Myung-Soo 3 Kong, Jae-Hoon 3 Laurent, Pierre-Jean 3 Lee, Hyun Chol 3 Li, Yujun 3 Mainar, Esmeralda 3 Manni, Carla 3 Monterde, Juan 3 Nielson, Gregory M. 3 Pember, Mason 3 Peña, Juan Manuel 3 Schief, Wolfgang Karl 3 Shen, Liyong 3 Szewieczek, Gudrun 3 Taş, Ferhat 3 Tosun, Murat 3 Vitrih, Vito 3 Walton, Desmond J. 3 Wee, Nam-Sook ...and 722 more Authors all top 5 Cited in 182 Serials 174 Computer Aided Geometric Design 34 Journal of Computational and Applied Mathematics 20 Numerical Algorithms 17 Journal of Geometry 14 Advances in Applied Clifford Algebras 14 Advances in Computational Mathematics 13 Discrete & Computational Geometry 12 Journal of Approximation Theory 12 Journal of Symbolic Computation 10 Beiträge zur Algebra und Geometrie 10 Results in Mathematics 9 Applied Mathematics and Computation 9 Monatshefte für Mathematik 7 Computing 7 Geometriae Dedicata 7 International Journal of Geometric Methods in Modern Physics 6 Numerische Mathematik 6 Constructive Approximation 6 International Journal of Computer Vision 5 Journal of Mathematical Analysis and Applications 5 Journal of Geometry and Physics 5 Mathematische Zeitschrift 5 ACM Transactions on Graphics 5 Journal for Geometry and Graphics 5 Journal of Zhejiang University. Science A 5 AIMS Mathematics 4 Computers & Mathematics with Applications 4 RAIRO. Modélisation Mathématique et Analyse Numérique 4 Differential Geometry and its Applications 4 Pattern Recognition 4 Journal of Mathematical Imaging and Vision 4 Mathematical Problems in Engineering 4 Abstract and Applied Analysis 4 Foundations of Computational Mathematics 4 International Electronic Journal of Geometry 3 Journal of Mathematical Physics 3 Advances in Mathematics 3 BIT 3 Journal of Pure and Applied Algebra 3 Mathematische Annalen 3 Linear Algebra and its Applications 3 Computational and Applied Mathematics 3 Journal of Applied Mathematics and Computing 3 Journal of Mathematics and the Arts 3 Mathematics in Computer Science 2 Israel Journal of Mathematics 2 Journal of Computational Physics 2 Mathematical Methods in the Applied Sciences 2 Mathematics of Computation 2 ACM Transactions on Mathematical Software 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Calcolo 2 Theoretical Computer Science 2 Bulletin of the Korean Mathematical Society 2 International Journal of Production Research 2 Applied Mathematics Letters 2 Computational Geometry 2 Applied Mathematical Modelling 2 Computational Optimization and Applications 2 Applied Mathematics. Series B (English Edition) 2 Reliable Computing 2 Mechanism and Machine Theory 2 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 2 Nexus Network Journal 2 Engineering Computations 2 Journal of Systems Science and Complexity 2 Applied Mathematics E-Notes 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Algebra and its Applications 2 Mediterranean Journal of Mathematics 2 Science in China. Series F 2 Computational & Mathematical Methods in Medicine 2 SIAM Journal on Imaging Sciences 2 Science China. Mathematics 2 Arnold Mathematical Journal 1 American Mathematical Monthly 1 Biological Cybernetics 1 Classical and Quantum Gravity 1 Computers and Fluids 1 Computer Methods in Applied Mechanics and Engineering 1 Discrete Mathematics 1 International Journal of Heat and Mass Transfer 1 Journal d’Analyse Mathématique 1 Journal of the Mechanics and Physics of Solids 1 Lithuanian Mathematical Journal 1 Periodica Mathematica Hungarica 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 The Mathematical Intelligencer 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Aplikace Matematiky 1 Archiv der Mathematik 1 Canadian Journal of Mathematics 1 Commentationes Mathematicae Universitatis Carolinae 1 Demonstratio Mathematica 1 International Journal for Numerical Methods in Engineering 1 Journal of the Korean Mathematical Society 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Journal of Optimization Theory and Applications ...and 82 more Serials all top 5 Cited in 48 Fields 338 Numerical analysis (65-XX) 223 Differential geometry (53-XX) 130 Computer science (68-XX) 104 Approximations and expansions (41-XX) 89 Geometry (51-XX) 58 Algebraic geometry (14-XX) 49 Convex and discrete geometry (52-XX) 27 Linear and multilinear algebra; matrix theory (15-XX) 15 Mechanics of particles and systems (70-XX) 12 Operations research, mathematical programming (90-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 9 Combinatorics (05-XX) 9 Number theory (11-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 General and overarching topics; collections (00-XX) 7 Commutative algebra (13-XX) 7 Operator theory (47-XX) 7 Manifolds and cell complexes (57-XX) 7 Biology and other natural sciences (92-XX) 6 Functions of a complex variable (30-XX) 6 Partial differential equations (35-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Information and communication theory, circuits (94-XX) 4 Potential theory (31-XX) 4 Statistics (62-XX) 4 Fluid mechanics (76-XX) 3 Field theory and polynomials (12-XX) 3 Associative rings and algebras (16-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Quantum theory (81-XX) 3 Geophysics (86-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Mathematics education (97-XX) 2 Topological groups, Lie groups (22-XX) 2 Difference and functional equations (39-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Relativity and gravitational theory (83-XX) 1 History and biography (01-XX) 1 General algebraic systems (08-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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