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Author ID: reif.ulrich Recent zbMATH articles by "Reif, Ulrich"
Published as: Reif, Ulrich; Reif, U.

Publications by Year

Citations contained in zbMATH Open

45 Publications have been cited 726 times in 450 Documents Cited by Year
Weighted extended B-spline approximation of Dirichlet problems. Zbl 0996.65119
Höllig, Klaus; Reif, Ulrich; Wipper, Joachim
131
2001
Subdivision surfaces. Zbl 1148.65014
Peters, Jörg; Reif, Ulrich
93
2008
A unified approach to subdivision algorithms near extraordinary vertices. Zbl 0872.65007
Reif, Ulrich
73
1995
TURBS - topologically unrestricted rational B-splines. Zbl 0891.65012
Reif, U.
30
1998
A refinable space of smooth spline surfaces of arbitrary topological genus. Zbl 0891.41007
Reif, Ulrich
28
1997
Nonuniform web-splines. Zbl 1069.65502
Höllig, Klaus; Reif, Ulrich
27
2003
Analysis of algorithms generalizing B-spline subdivision. Zbl 0913.65011
Peters, Jörg; Reif, Ulrich
27
1998
Polynomial degree reduction in the \(L_2\)-norm equals best Euclidean approximation of Bézier coefficients. Zbl 0993.41016
Lutterkort, D.; Peters, J.; Reif, U.
22
1999
Best bounds on the approximation of polynomials and splines by their control structure. Zbl 0952.41011
Reif, U.
20
2000
Multigrid methods with web-splines. Zbl 0996.65138
Höllig, Klaus; Reif, Ulrich; Wipper, Joachim
19
2002
\(C^1\)-continuity of the generalized four-point scheme. Zbl 1187.65011
Hechler, Jochen; Mößner, Bernhard; Reif, Ulrich
19
2009
Generalized Lane-Riesenfeld algorithms. Zbl 1355.65024
Cashman, Thomas J.; Hormann, Kai; Reif, Ulrich
19
2013
Biquadratic G-spline surfaces. Zbl 0872.65008
Reif, Ulrich
18
1995
Shape characterization of subdivision surfaces — case studies. Zbl 1069.65522
Karčiauskas, K.; Peters, Jörg; Reif, U.
17
2004
A degree estimate for subdivision surfaces of higher regularity. Zbl 0857.65018
Reif, Ulrich
14
1996
Shape characterization of subdivision surfaces – basic principles. Zbl 1069.65529
Peters, Jörg; Reif, Ulrich
13
2004
New aspects in the theory of free form surfaces of arbitrary topology. (Neue Aspekte in der Theorie der Freiformflächen beliebiger Topologie.) Zbl 0850.65021
Reif, Ulrich
12
1993
Least squares approximation of Bézier coefficients provides best degree reduction in the \(L_2\)-norm. Zbl 1047.41007
Peters, J.; Reif, U.
11
2000
Degenerate Bézier patches with continuous curvature. Zbl 0893.68154
Bohl, H.; Reif, U.
11
1997
A tree-based approach to joint spectral radius determination. Zbl 1300.15004
Möller, Claudia; Reif, Ulrich
10
2014
Degree estimates for \(C^k\)-piecewise polynomial subdivision surfaces. Zbl 0921.65011
Prautzsch, Hartmut; Reif, Ulrich
9
1999
Curvature integrability of subdivision surfaces. Zbl 0986.65009
Reif, Ulrich; Schröder, Peter
8
2001
Structural analysis of subdivision surfaces - a summary. Zbl 1205.65102
Reif, Ulrich; Peters, Jorg
8
2005
The 42 equivalence classes of quadratic surfaces in affine \(n\)-space. Zbl 0996.14028
Peters, Jörg; Reif, Ulrich
7
1998
Polynomial approximation on domains bounded by diffeomorphic images of graphs. Zbl 1277.41003
Reif, Ulrich
7
2012
Stability of tensor product B-splines on domains. Zbl 1154.65012
Mößner, Bernhard; Reif, Ulrich
7
2008
Collocation with WEB-splines. Zbl 1348.65171
Apprich, Christian; Höllig, Klaus; Hörner, Jörg; Reif, Ulrich
7
2016
Error bounds for polynomial tensor product interpolation. Zbl 1180.41003
Mößner, Bernhard; Reif, Ulrich
6
2009
Old problems and new challenges in subdivision. Zbl 1415.65049
Reif, Ulrich; Sabin, Malcolm A.
6
2019
A note on degenerate triangular Bézier patches. Zbl 0875.68843
Reif, Ulrich
5
1995
Orthogonality of cardinal B-splines in weighted Sobolev spaces. Zbl 0884.41009
Reif, Ulrich
4
1997
Stabilization of spline bases by extension. Zbl 1504.41007
Chu, Ba-Duong; Martin, Florian; Reif, Ulrich
4
2022
Ambient approximation on hypersurfaces. Zbl 1407.41006
Lehmann, N.; Maier, L.-B.; Odathuparambil, S.; Reif, U.
4
2019
Hölder regularity of geometric subdivision schemes. Zbl 1333.26003
Ewald, T.; Reif, U.; Sabin, M.
4
2015
Two-stage approximation methods with extended B-splines. Zbl 1283.41009
Davydov, O.; Prasiswa, J.; Reif, U.
4
2014
Uniform B-spline approximation in Sobolev spaces. Zbl 0890.65012
Reif, Ulrich
3
1997
Error estimates for the web-spline method. Zbl 0989.65126
Höllig, Klaus; Reif, Ulrich; Wipper, Joachim
3
2001
On the local existence of the quadratic geometric Hermite interpolant. Zbl 0914.68198
Reif, Ulrich
3
1999
On the volume of sets bounded by refinable functions. Zbl 1410.65063
Hakenberg, Jan; Reif, Ulrich
3
2016
Approximation with diversified B-splines. Zbl 1364.65033
Reif, Ulrich; Sissouno, Nada
3
2014
Clothoid fitting and geometric Hermite subdivision. Zbl 1507.65054
Reif, Ulrich; Weinmann, Andreas
2
2021
Surface patches with rounded corners. Zbl 1497.65039
Marussig, Benjamin; Reif, Ulrich
2
2022
Smooth filling of \(n\)-sided holes. (Glattes Füllen \(n\)-seitiger Lücken.) Zbl 0864.68112
Höllig, K.; Reif, U.; Hahn, J.
1
1997
A counterexample to a corollary of D. -S. Kin and P. Y. Papalambros. Zbl 1004.68554
Aumann, Günter; Reif, Ulrich; Spitzmüller, Klaus
1
1995
Trimmed spline surfaces with accurate boundary control. Zbl 1497.65038
Martin, Florian; Reif, Ulrich
1
2022
Stabilization of spline bases by extension. Zbl 1504.41007
Chu, Ba-Duong; Martin, Florian; Reif, Ulrich
4
2022
Surface patches with rounded corners. Zbl 1497.65039
Marussig, Benjamin; Reif, Ulrich
2
2022
Trimmed spline surfaces with accurate boundary control. Zbl 1497.65038
Martin, Florian; Reif, Ulrich
1
2022
Clothoid fitting and geometric Hermite subdivision. Zbl 1507.65054
Reif, Ulrich; Weinmann, Andreas
2
2021
Old problems and new challenges in subdivision. Zbl 1415.65049
Reif, Ulrich; Sabin, Malcolm A.
6
2019
Ambient approximation on hypersurfaces. Zbl 1407.41006
Lehmann, N.; Maier, L.-B.; Odathuparambil, S.; Reif, U.
4
2019
Collocation with WEB-splines. Zbl 1348.65171
Apprich, Christian; Höllig, Klaus; Hörner, Jörg; Reif, Ulrich
7
2016
On the volume of sets bounded by refinable functions. Zbl 1410.65063
Hakenberg, Jan; Reif, Ulrich
3
2016
Hölder regularity of geometric subdivision schemes. Zbl 1333.26003
Ewald, T.; Reif, U.; Sabin, M.
4
2015
A tree-based approach to joint spectral radius determination. Zbl 1300.15004
Möller, Claudia; Reif, Ulrich
10
2014
Two-stage approximation methods with extended B-splines. Zbl 1283.41009
Davydov, O.; Prasiswa, J.; Reif, U.
4
2014
Approximation with diversified B-splines. Zbl 1364.65033
Reif, Ulrich; Sissouno, Nada
3
2014
Generalized Lane-Riesenfeld algorithms. Zbl 1355.65024
Cashman, Thomas J.; Hormann, Kai; Reif, Ulrich
19
2013
Polynomial approximation on domains bounded by diffeomorphic images of graphs. Zbl 1277.41003
Reif, Ulrich
7
2012
\(C^1\)-continuity of the generalized four-point scheme. Zbl 1187.65011
Hechler, Jochen; Mößner, Bernhard; Reif, Ulrich
19
2009
Error bounds for polynomial tensor product interpolation. Zbl 1180.41003
Mößner, Bernhard; Reif, Ulrich
6
2009
Subdivision surfaces. Zbl 1148.65014
Peters, Jörg; Reif, Ulrich
93
2008
Stability of tensor product B-splines on domains. Zbl 1154.65012
Mößner, Bernhard; Reif, Ulrich
7
2008
Structural analysis of subdivision surfaces - a summary. Zbl 1205.65102
Reif, Ulrich; Peters, Jorg
8
2005
Shape characterization of subdivision surfaces — case studies. Zbl 1069.65522
Karčiauskas, K.; Peters, Jörg; Reif, U.
17
2004
Shape characterization of subdivision surfaces – basic principles. Zbl 1069.65529
Peters, Jörg; Reif, Ulrich
13
2004
Nonuniform web-splines. Zbl 1069.65502
Höllig, Klaus; Reif, Ulrich
27
2003
Multigrid methods with web-splines. Zbl 0996.65138
Höllig, Klaus; Reif, Ulrich; Wipper, Joachim
19
2002
Weighted extended B-spline approximation of Dirichlet problems. Zbl 0996.65119
Höllig, Klaus; Reif, Ulrich; Wipper, Joachim
131
2001
Curvature integrability of subdivision surfaces. Zbl 0986.65009
Reif, Ulrich; Schröder, Peter
8
2001
Error estimates for the web-spline method. Zbl 0989.65126
Höllig, Klaus; Reif, Ulrich; Wipper, Joachim
3
2001
Best bounds on the approximation of polynomials and splines by their control structure. Zbl 0952.41011
Reif, U.
20
2000
Least squares approximation of Bézier coefficients provides best degree reduction in the \(L_2\)-norm. Zbl 1047.41007
Peters, J.; Reif, U.
11
2000
Polynomial degree reduction in the \(L_2\)-norm equals best Euclidean approximation of Bézier coefficients. Zbl 0993.41016
Lutterkort, D.; Peters, J.; Reif, U.
22
1999
Degree estimates for \(C^k\)-piecewise polynomial subdivision surfaces. Zbl 0921.65011
Prautzsch, Hartmut; Reif, Ulrich
9
1999
On the local existence of the quadratic geometric Hermite interpolant. Zbl 0914.68198
Reif, Ulrich
3
1999
TURBS - topologically unrestricted rational B-splines. Zbl 0891.65012
Reif, U.
30
1998
Analysis of algorithms generalizing B-spline subdivision. Zbl 0913.65011
Peters, Jörg; Reif, Ulrich
27
1998
The 42 equivalence classes of quadratic surfaces in affine \(n\)-space. Zbl 0996.14028
Peters, Jörg; Reif, Ulrich
7
1998
A refinable space of smooth spline surfaces of arbitrary topological genus. Zbl 0891.41007
Reif, Ulrich
28
1997
Degenerate Bézier patches with continuous curvature. Zbl 0893.68154
Bohl, H.; Reif, U.
11
1997
Orthogonality of cardinal B-splines in weighted Sobolev spaces. Zbl 0884.41009
Reif, Ulrich
4
1997
Uniform B-spline approximation in Sobolev spaces. Zbl 0890.65012
Reif, Ulrich
3
1997
Smooth filling of \(n\)-sided holes. (Glattes Füllen \(n\)-seitiger Lücken.) Zbl 0864.68112
Höllig, K.; Reif, U.; Hahn, J.
1
1997
A degree estimate for subdivision surfaces of higher regularity. Zbl 0857.65018
Reif, Ulrich
14
1996
A unified approach to subdivision algorithms near extraordinary vertices. Zbl 0872.65007
Reif, Ulrich
73
1995
Biquadratic G-spline surfaces. Zbl 0872.65008
Reif, Ulrich
18
1995
A note on degenerate triangular Bézier patches. Zbl 0875.68843
Reif, Ulrich
5
1995
A counterexample to a corollary of D. -S. Kin and P. Y. Papalambros. Zbl 1004.68554
Aumann, Günter; Reif, Ulrich; Spitzmüller, Klaus
1
1995
New aspects in the theory of free form surfaces of arbitrary topology. (Neue Aspekte in der Theorie der Freiformflächen beliebiger Topologie.) Zbl 0850.65021
Reif, Ulrich
12
1993
all top 5

Cited by 635 Authors

30 Peters, Jorg
23 Reif, Ulrich
17 Karčiauskas, Kęstutis
13 Hughes, Thomas J. R.
13 Srinivas Kumar, V. V. K.
12 Cirak, Fehmi
12 Jüttler, Bert
12 Romani, Lucia
11 Mustafa, Ghulam
10 Chaudhary, Sudhakar
10 Scovazzi, Guglielmo
10 Toshniwal, Deepesh
9 Dyn, Nira
9 Protasov, Vladimir Yu.
9 Takacs, Thomas
8 Evans, John A.
7 Deng, Jiansong
7 Jiang, Qingtang
7 Li, Xin
7 Scott, Michael A.
7 Wei, Xiaodong
7 Zhang, Yongjie Jessica
6 Charina, Maria
6 Conti, Costanza
6 Guglielmi, Nicola
6 Höllig, Klaus H.
6 Kapl, Mario
6 Mourrain, Bernard
6 Speleers, Hendrik
6 Zhu, Xuefeng
5 Chui, Charles Kam-tai
5 de Prenter, Frits
5 Hu, Ping
5 Kumar, Bayya Venkatesulu Rathish
5 Prautzsch, Hartmut
5 Rababah, Abedallah
5 Rumpf, Martin
5 Schillinger, Dominik
5 Van Brummelen, Harald
5 Zambom, Adriano Zanin
5 Zhang, Renjiang
4 Ait-Haddou, Rachid
4 Beccari, Carolina Vittoria
4 Das, Purna Chandra
4 Donatelli, Marco
4 Hörner, Jörg
4 Kosinka, Jiří
4 Levin, David N.
4 Ma, Weiyin
4 Ma, Zhengdong
4 Main, Alex
4 Marussig, Benjamin
4 Novara, Paola
4 Sangalli, Giancarlo
4 Schröder, Peter
4 Schumaker, Larry L.
4 Serra-Capizzano, Stefano
4 Sharon, Nir
4 Steinmann, Paul
4 Umlauf, Georg
4 Verhoosel, Clemens V.
4 Zhang, Weihong
3 Ahn, Young Joon
3 Apprich, Christian
3 Ashraf, Pakeeza
3 Atallah, Nabil M.
3 Badia, Santiago
3 Barton, Michael H.
3 Bracco, Cesare
3 Canuto, Claudio
3 Casquero, Hugo
3 Davydov, Oleg V.
3 Dias, Ronaldo
3 Garoni, Carlo
3 Giannelli, Carlotta
3 Ginkel, Ingo
3 Hameed, Rabia
3 Hiemstra, René R.
3 Huang, Zhengdong
3 Lee, Byung-Gook
3 Levin, Adi
3 Liu, Zhaowei
3 Maier, Lars-Benjamin
3 Manni, Carla
3 Mantzaflaris, Angelos
3 Maute, Kurt
3 McBride, Andrew T.
3 Moriguchi, Shuji
3 Oswald, Peter
3 Patra, Suchismita
3 Qarariyah, Ammar
3 Rüberg, Thomas
3 Sabin, Malcolm A.
3 Saxena, Prashant
3 Sestini, Alessandra
3 Sooppy Nisar, Kottakkaran
3 Terada, Kenjiro
3 Thomas, Derek C.
3 Verdugo, Francesc
3 Viscardi, Alberto
...and 535 more Authors
all top 5

Cited in 101 Serials

110 Computer Aided Geometric Design
73 Computer Methods in Applied Mechanics and Engineering
23 Journal of Computational and Applied Mathematics
18 Applied Mathematics and Computation
13 International Journal for Numerical Methods in Engineering
12 Advances in Computational Mathematics
11 Computers & Mathematics with Applications
9 Journal of Approximation Theory
8 Journal of Mathematical Analysis and Applications
7 Constructive Approximation
6 Journal of Computational Physics
6 Computational Mechanics
5 Mathematics of Computation
5 International Journal of Computer Mathematics
5 Engineering Analysis with Boundary Elements
4 Numerical Functional Analysis and Optimization
4 Computational and Applied Mathematics
4 Foundations of Computational Mathematics
3 BIT
3 Computing
3 Applied Numerical Mathematics
3 Journal of Scientific Computing
3 Applied and Computational Harmonic Analysis
3 Journal of Systems Science and Complexity
2 Acta Mechanica
2 SIAM Journal on Numerical Analysis
2 Numerical Methods for Partial Differential Equations
2 Journal of Global Optimization
2 Numerical Algorithms
2 Computational Statistics and Data Analysis
2 SIAM Journal on Scientific Computing
2 Applied Mathematics. Series B (English Edition)
2 Computing and Visualization in Science
2 Abstract and Applied Analysis
2 European Journal of Mechanics. A. Solids
2 International Journal of Nonlinear Sciences and Numerical Simulation
2 Communications in Mathematics and Statistics
2 SMAI Journal of Computational Mathematics
1 Applicable Analysis
1 International Journal for Numerical Methods in Fluids
1 Mathematical Methods in the Applied Sciences
1 Rocky Mountain Journal of Mathematics
1 Automatica
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Multivariate Analysis
1 Journal of Statistical Planning and Inference
1 Mathematics and Computers in Simulation
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Numerische Mathematik
1 Proceedings of the American Mathematical Society
1 International Journal of Production Research
1 Discrete & Computational Geometry
1 SIAM Journal on Matrix Analysis and Applications
1 International Journal of Computational Geometry & Applications
1 Differential Geometry and its Applications
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Computational Statistics
1 Applied Mathematical Modelling
1 Linear Algebra and its Applications
1 Computational Optimization and Applications
1 St. Petersburg Mathematical Journal
1 Numerical Linear Algebra with Applications
1 ETNA. Electronic Transactions on Numerical Analysis
1 Journal of Difference Equations and Applications
1 The Journal of Fourier Analysis and Applications
1 Mathematical Problems in Engineering
1 International Journal of Shape Modeling
1 Differential Equations and Dynamical Systems
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Engineering Computations
1 The ANZIAM Journal
1 Mathematical Modelling and Analysis
1 Archives of Computational Methods in Engineering
1 Discrete and Continuous Dynamical Systems. Series B
1 Journal of Applied Mathematics
1 Iranian Journal of Science and Technology. Transaction A: Science
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Journal of Applied Mathematics and Computing
1 International Journal of Computational Methods
1 Mediterranean Journal of Mathematics
1 Advances in Difference Equations
1 Inverse Problems in Science and Engineering
1 Proceedings of the Steklov Institute of Mathematics
1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
1 Acta Mechanica Sinica
1 Communications in Computational Physics
1 Nonlinear Analysis. Hybrid Systems
1 SIAM Journal on Imaging Sciences
1 Advances in Applied Mathematics and Mechanics
1 Set-Valued and Variational Analysis
1 Symmetry
1 International Journal of Advances in Engineering Sciences and Applied Mathematics
1 Central European Journal of Computer Science
1 S\(\vec{\text{e}}\)MA Journal
1 Axioms
1 International Journal of Analysis
1 Mathematics
1 International Journal of Applied and Computational Mathematics
1 Open Mathematics
1 SIAM Journal on Applied Algebra and Geometry
...and 1 more Serials
all top 5

Cited in 40 Fields

378 Numerical analysis (65-XX)
83 Approximations and expansions (41-XX)
68 Mechanics of deformable solids (74-XX)
50 Computer science (68-XX)
37 Partial differential equations (35-XX)
27 Fluid mechanics (76-XX)
15 Differential geometry (53-XX)
10 Linear and multilinear algebra; matrix theory (15-XX)
10 Harmonic analysis on Euclidean spaces (42-XX)
8 Real functions (26-XX)
8 Operations research, mathematical programming (90-XX)
7 Calculus of variations and optimal control; optimization (49-XX)
7 Statistics (62-XX)
5 Global analysis, analysis on manifolds (58-XX)
5 Biology and other natural sciences (92-XX)
4 Ordinary differential equations (34-XX)
4 Difference and functional equations (39-XX)
4 Optics, electromagnetic theory (78-XX)
3 Commutative algebra (13-XX)
3 Algebraic geometry (14-XX)
3 Functional analysis (46-XX)
3 Systems theory; control (93-XX)
3 Information and communication theory, circuits (94-XX)
2 Combinatorics (05-XX)
2 Special functions (33-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 General and overarching topics; collections (00-XX)
1 Mathematical logic and foundations (03-XX)
1 Group theory and generalizations (20-XX)
1 Measure and integration (28-XX)
1 Functions of a complex variable (30-XX)
1 Potential theory (31-XX)
1 Geometry (51-XX)
1 Manifolds and cell complexes (57-XX)
1 Probability theory and stochastic processes (60-XX)
1 Mechanics of particles and systems (70-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Geophysics (86-XX)

Citations by Year