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Author ID: pottmann.helmut Recent zbMATH articles by "Pottmann, Helmut"
Published as: Pottmann, Helmut; Pottmann, H.
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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

Publications by Year

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 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
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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
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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

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