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Author ID: hormann.kai Recent zbMATH articles by "Hormann, Kai"
Published as: Hormann, Kai; Hormann, K.
Homepage: https://www.inf.usi.ch/hormann/
External Links: MGP · ORCID

Publications by Year

Citations contained in zbMATH Open

46 Publications have been cited 903 times in 628 Documents Cited by Year
Barycentric rational interpolation with no poles and high rates of approximation. Zbl 1221.41002
Floater, Michael S.; Hormann, Kai
139
2007
Surface parameterization: a tutorial and survey. Zbl 1065.65030
Floater, Michael S.; Hormann, Kai
123
2005
A general construction of barycentric coordinates over convex polygons. Zbl 1095.65016
Floater, Michael S.; Hormann, Kai; Kós, Géza
78
2006
Polynomial reproduction by symmetric subdivision schemes. Zbl 1159.41003
Dyn, Nira; Hormann, Kai; Sabin, Malcolm A.; Shen, Zuowei
53
2008
Polynomial reproduction for univariate subdivision schemes of any arity. Zbl 1211.65022
Conti, Costanza; Hormann, Kai
52
2011
A \(C^2\) four-point subdivision scheme with fourth order accuracy and its extensions. Zbl 1080.65526
Dyn, Nira; Floater, Michael S.; Hormann, Kai
47
2005
On the Lebesgue constant of barycentric rational interpolation at equidistant nodes. Zbl 1252.41003
Bos, Len; De Marchi, Stefano; Hormann, Kai; Klein, Georges
40
2012
A family of subdivision schemes with cubic precision. Zbl 1172.65308
Hormann, Kai; Sabin, Malcolm A.
38
2008
Interpolating and approximating scattered 3D data with hierarchical tensor product B-splines. Zbl 0937.65019
Greiner, Günther; Hormann, Kai
33
1997
On the Lebesgue constant of Berrut’s rational interpolant at equidistant nodes. Zbl 1231.41003
Bos, Len; De Marchi, Stefano; Hormann, Kai
25
2011
On the Lebesgue constant of barycentric rational Hermite interpolants at equidistant nodes. Zbl 1405.41002
Cirillo, Emiliano; Hormann, Kai
22
2019
On the approximation order of triangular Shepard interpolation. Zbl 1335.65016
Dell’Accio, Francesco; Di Tommaso, Filomena; Hormann, Kai
21
2016
Generalized barycentric coordinates in computer graphics and computational mechanics. Zbl 1377.68003
20
2018
Generalized Lane-Riesenfeld algorithms. Zbl 1355.65024
Cashman, Thomas J.; Hormann, Kai; Reif, Ulrich
19
2013
Four-point curve subdivision based on iterated chordal and centripetal parameterizations. Zbl 1205.65077
Dyn, Nira; Floater, Michael S.; Hormann, Kai
18
2009
The point of polygon problem for arbitrary polygons. Zbl 0990.68173
Hormann, Kai; Agathos, Alexander
16
2001
Bounding the Lebesgue constant for Berrut’s rational interpolant at general nodes. Zbl 1281.41001
Bos, Len; De Marchi, Stefano; Hormann, Kai; Sidon, Jean
15
2013
Properties of dual pseudo-splines. Zbl 1191.41003
Dong, Bin; Dyn, Nira; Hormann, Kai
12
2010
Geometric conditions for tangent continuity of interpolatory planar subdivision curves. Zbl 1256.65015
Dyn, Nira; Hormann, Kai
11
2012
Local barycentric coordinates. Zbl 1396.65071
Zhang, Juyong; Deng, Bailin; Liu, Zishun; Patanè, Giuseppe; Bouaziz, Sofien; Hormann, Kai; Liu, Ligang
10
2014
Parameterization of triangulations and unorganized points. Zbl 1004.65029
Floater, Michael; Hormann, Kai
9
2002
Optimizing 3D triangulations using discrete curvature analysis. Zbl 0989.65037
Dyn, Nira; Hormann, Kai; Kim, Sun-Jeong; Levin, David
8
2001
Reconstruction of a function from Hermite-Birkhoff data. Zbl 1426.65012
Dell’Accio, Francesco; Di Tommaso, Filomena; Hormann, Kai
8
2018
Barycentric interpolation. Zbl 1323.41004
Hormann, Kai
8
2014
Remeshing triangulated surfaces with optimal parameterizations. Zbl 1206.65046
Hormann, K.; Labsik, U.; Greiner, G.
8
2001
Convergence rates of derivatives of Floater-Hormann interpolants for well-spaced nodes. Zbl 1372.65031
Cirillo, Emiliano; Hormann, Kai; Sidon, Jean
6
2017
Symmetric four-directional bivariate pseudo-spline symbols. Zbl 1398.65022
Conti, Costanza; Deng, Chongyang; Hormann, Kai
6
2018
Singular cases of planar and spatial \(C^1\) Hermite interpolation problems based on quintic Pythagorean-hodograph curves. Zbl 1450.65006
Farouki, Rida T.; Hormann, Kai; Nudo, Federico
5
2020
New shape control tools for rational Bézier curve design. Zbl 1472.65024
Ramanantoanina, Andriamahenina; Hormann, Kai
5
2021
Blended barycentric coordinates. Zbl 1366.65037
Anisimov, Dmitry; Panozzo, Daniele; Hormann, Kai
5
2017
An iterative approach to barycentric rational Hermite interpolation. Zbl 1478.65010
Cirillo, Emiliano; Hormann, Kai
5
2018
Pyramid algorithms for barycentric rational interpolation. Zbl 1417.65060
Hormann, Kai; Schaefer, Scott
5
2016
Non-uniform interpolatory subdivision schemes with improved smoothness. Zbl 1489.65028
Dyn, Nira; Hormann, Kai; Mancinelli, Claudio
4
2022
On Landau theory and symmetric energy landscapes for phase transitions. Zbl 1171.74036
Hormann, Kai; Zimmer, Johannes
4
2007
Smooth bijective maps between arbitrary planar polygons. Zbl 1417.65109
Schneider, Teseo; Hormann, Kai
4
2015
Iterative coordinates. Zbl 1505.65120
Deng, Chongyang; Chang, Qingjun; Hormann, Kai
3
2020
Univariate subdivision schemes for noisy data with geometric applications. Zbl 1417.65079
Dyn, Nira; Heard, Allison; Hormann, Kai; Sharon, Nir
3
2015
Subdividing barycentric coordinates. Zbl 1418.65013
Anisimov, Dmitry; Deng, Chongyang; Hormann, Kai
3
2016
Convergence rates of a Hermite generalization of Floater-Hormann interpolants. Zbl 1493.65025
Cirillo, Emiliano; Hormann, Kai; Sidon, Jean
2
2020
Algebraic and geometric characterizations of a class of planar quartic curves with rational offsets. Zbl 1505.65123
Hormann, Kai; Zheng, Jianmin
2
2020
Triangulating point clouds with spherical topology. Zbl 1043.65028
Hormann, Kai; Reimers, Martin
2
2003
Parametric finite elements with bijective mappings. Zbl 1381.65093
Zulian, Patrick; Schneider, Teseo; Hormann, Kai; Krause, Rolf
2
2017
Path planning with divergence-based distance functions. Zbl 1505.65119
Chen, Renjie; Gotsman, Craig; Hormann, Kai
1
2018
Parameterization of manifold triangulations. Zbl 1040.41006
Floater, Michael S.; Hormann, Kai; Reimers, Martin
1
2002
On the norms of the Dubuc-Deslauriers subdivision schemes. Zbl 1284.65029
Deng, Chongyang; Hormann, Kai; Zhang, Zhifeng
1
2013
On the numerical stability of linear barycentric rational interpolation. Zbl 1504.65022
Fuda, Chiara; Campagna, Rosanna; Hormann, Kai
1
2022
Non-uniform interpolatory subdivision schemes with improved smoothness. Zbl 1489.65028
Dyn, Nira; Hormann, Kai; Mancinelli, Claudio
4
2022
On the numerical stability of linear barycentric rational interpolation. Zbl 1504.65022
Fuda, Chiara; Campagna, Rosanna; Hormann, Kai
1
2022
New shape control tools for rational Bézier curve design. Zbl 1472.65024
Ramanantoanina, Andriamahenina; Hormann, Kai
5
2021
Singular cases of planar and spatial \(C^1\) Hermite interpolation problems based on quintic Pythagorean-hodograph curves. Zbl 1450.65006
Farouki, Rida T.; Hormann, Kai; Nudo, Federico
5
2020
Iterative coordinates. Zbl 1505.65120
Deng, Chongyang; Chang, Qingjun; Hormann, Kai
3
2020
Convergence rates of a Hermite generalization of Floater-Hormann interpolants. Zbl 1493.65025
Cirillo, Emiliano; Hormann, Kai; Sidon, Jean
2
2020
Algebraic and geometric characterizations of a class of planar quartic curves with rational offsets. Zbl 1505.65123
Hormann, Kai; Zheng, Jianmin
2
2020
On the Lebesgue constant of barycentric rational Hermite interpolants at equidistant nodes. Zbl 1405.41002
Cirillo, Emiliano; Hormann, Kai
22
2019
Generalized barycentric coordinates in computer graphics and computational mechanics. Zbl 1377.68003
20
2018
Reconstruction of a function from Hermite-Birkhoff data. Zbl 1426.65012
Dell’Accio, Francesco; Di Tommaso, Filomena; Hormann, Kai
8
2018
Symmetric four-directional bivariate pseudo-spline symbols. Zbl 1398.65022
Conti, Costanza; Deng, Chongyang; Hormann, Kai
6
2018
An iterative approach to barycentric rational Hermite interpolation. Zbl 1478.65010
Cirillo, Emiliano; Hormann, Kai
5
2018
Path planning with divergence-based distance functions. Zbl 1505.65119
Chen, Renjie; Gotsman, Craig; Hormann, Kai
1
2018
Convergence rates of derivatives of Floater-Hormann interpolants for well-spaced nodes. Zbl 1372.65031
Cirillo, Emiliano; Hormann, Kai; Sidon, Jean
6
2017
Blended barycentric coordinates. Zbl 1366.65037
Anisimov, Dmitry; Panozzo, Daniele; Hormann, Kai
5
2017
Parametric finite elements with bijective mappings. Zbl 1381.65093
Zulian, Patrick; Schneider, Teseo; Hormann, Kai; Krause, Rolf
2
2017
On the approximation order of triangular Shepard interpolation. Zbl 1335.65016
Dell’Accio, Francesco; Di Tommaso, Filomena; Hormann, Kai
21
2016
Pyramid algorithms for barycentric rational interpolation. Zbl 1417.65060
Hormann, Kai; Schaefer, Scott
5
2016
Subdividing barycentric coordinates. Zbl 1418.65013
Anisimov, Dmitry; Deng, Chongyang; Hormann, Kai
3
2016
Smooth bijective maps between arbitrary planar polygons. Zbl 1417.65109
Schneider, Teseo; Hormann, Kai
4
2015
Univariate subdivision schemes for noisy data with geometric applications. Zbl 1417.65079
Dyn, Nira; Heard, Allison; Hormann, Kai; Sharon, Nir
3
2015
Local barycentric coordinates. Zbl 1396.65071
Zhang, Juyong; Deng, Bailin; Liu, Zishun; Patanè, Giuseppe; Bouaziz, Sofien; Hormann, Kai; Liu, Ligang
10
2014
Barycentric interpolation. Zbl 1323.41004
Hormann, Kai
8
2014
Generalized Lane-Riesenfeld algorithms. Zbl 1355.65024
Cashman, Thomas J.; Hormann, Kai; Reif, Ulrich
19
2013
Bounding the Lebesgue constant for Berrut’s rational interpolant at general nodes. Zbl 1281.41001
Bos, Len; De Marchi, Stefano; Hormann, Kai; Sidon, Jean
15
2013
On the norms of the Dubuc-Deslauriers subdivision schemes. Zbl 1284.65029
Deng, Chongyang; Hormann, Kai; Zhang, Zhifeng
1
2013
On the Lebesgue constant of barycentric rational interpolation at equidistant nodes. Zbl 1252.41003
Bos, Len; De Marchi, Stefano; Hormann, Kai; Klein, Georges
40
2012
Geometric conditions for tangent continuity of interpolatory planar subdivision curves. Zbl 1256.65015
Dyn, Nira; Hormann, Kai
11
2012
Polynomial reproduction for univariate subdivision schemes of any arity. Zbl 1211.65022
Conti, Costanza; Hormann, Kai
52
2011
On the Lebesgue constant of Berrut’s rational interpolant at equidistant nodes. Zbl 1231.41003
Bos, Len; De Marchi, Stefano; Hormann, Kai
25
2011
Properties of dual pseudo-splines. Zbl 1191.41003
Dong, Bin; Dyn, Nira; Hormann, Kai
12
2010
Four-point curve subdivision based on iterated chordal and centripetal parameterizations. Zbl 1205.65077
Dyn, Nira; Floater, Michael S.; Hormann, Kai
18
2009
Polynomial reproduction by symmetric subdivision schemes. Zbl 1159.41003
Dyn, Nira; Hormann, Kai; Sabin, Malcolm A.; Shen, Zuowei
53
2008
A family of subdivision schemes with cubic precision. Zbl 1172.65308
Hormann, Kai; Sabin, Malcolm A.
38
2008
Barycentric rational interpolation with no poles and high rates of approximation. Zbl 1221.41002
Floater, Michael S.; Hormann, Kai
139
2007
On Landau theory and symmetric energy landscapes for phase transitions. Zbl 1171.74036
Hormann, Kai; Zimmer, Johannes
4
2007
A general construction of barycentric coordinates over convex polygons. Zbl 1095.65016
Floater, Michael S.; Hormann, Kai; Kós, Géza
78
2006
Surface parameterization: a tutorial and survey. Zbl 1065.65030
Floater, Michael S.; Hormann, Kai
123
2005
A \(C^2\) four-point subdivision scheme with fourth order accuracy and its extensions. Zbl 1080.65526
Dyn, Nira; Floater, Michael S.; Hormann, Kai
47
2005
Triangulating point clouds with spherical topology. Zbl 1043.65028
Hormann, Kai; Reimers, Martin
2
2003
Parameterization of triangulations and unorganized points. Zbl 1004.65029
Floater, Michael; Hormann, Kai
9
2002
Parameterization of manifold triangulations. Zbl 1040.41006
Floater, Michael S.; Hormann, Kai; Reimers, Martin
1
2002
The point of polygon problem for arbitrary polygons. Zbl 0990.68173
Hormann, Kai; Agathos, Alexander
16
2001
Optimizing 3D triangulations using discrete curvature analysis. Zbl 0989.65037
Dyn, Nira; Hormann, Kai; Kim, Sun-Jeong; Levin, David
8
2001
Remeshing triangulated surfaces with optimal parameterizations. Zbl 1206.65046
Hormann, K.; Labsik, U.; Greiner, G.
8
2001
Interpolating and approximating scattered 3D data with hierarchical tensor product B-splines. Zbl 0937.65019
Greiner, Günther; Hormann, Kai
33
1997
all top 5

Cited by 956 Authors

28 Hormann, Kai
28 Romani, Lucia
21 Mustafa, Ghulam
19 Conti, Costanza
14 Deng, Chongyang
14 Jüttler, Bert
13 Floater, Michael S.
12 Berrut, Jean-Paul
12 Dell’Accio, Francesco
12 Di Tommaso, Filomena
12 Li, Jin
12 Yau, Shing-Tung
11 Abdi, Ali
11 De Marchi, Stefano
11 Dyn, Nira
11 Lui, Lok Ming
11 Siddiqi, Shahid Saeed
9 Cheng, Yongling
9 Choi, Gary Pui-Tung
9 Rehan, Kashif
9 Ruuth, Steven J.
8 Yueh, Mei-Heng
8 Zheng, Hongchan
7 Gu, Xianfeng David
6 Bajaj, Chandrajit L.
6 Băleanu, Dumitru I.
6 Deng, Jiansong
6 Giannelli, Carlotta
6 Hameed, Rabia
6 Hosseini, Seyyed Ahmad
6 Lin, Wen-Wei
6 Tan, Jieqing
6 Viscardi, Alberto
5 Beccari, Carolina Vittoria
5 Elefante, Giacomo
5 Gemignani, Luca
5 Gu, Xianfeng
5 Huang, Jin
5 Klein, Georges
5 Li, Yajuan
5 Ma, Weiyin
5 Marchetti, Francesco
5 Mokriš, Dominik
5 Nguyen-Xuan, Hung
5 Paulino, Glaucio H.
5 Reali, Alessandro
5 Talischi, Cameron
5 Trefethen, Lloyd Nicholas
5 Zhang, Li
4 Amat Plata, Sergio
4 Ashraf, Pakeeza
4 Casciola, Giulio
4 Cavoretto, Roberto
4 Charina, Maria
4 Cirillo, Emiliano
4 Cotronei, Mariantonia
4 D’Angella, Davide
4 Ghaffar, Abdul
4 Gillette, Andrew
4 Hojjati, Gholamreza
4 Hughes, Thomas J. R.
4 Ikemakhen, Aziz
4 Khan, Faheem
4 Lei, Na
4 Ling, Leevan
4 Nouisser, Otheman
4 Oruç, Ömer
4 Rand, Alexander
4 Reif, Ulrich
4 Sabin, Malcolm A.
4 Sestini, Alessandra
4 Sidon, Jean
4 Sooppy Nisar, Kottakkaran
4 Wang, Yanqiu
4 Xiang, Shuhuang
4 Yoon, Jungho
4 Zeng, Wei
4 Zhang, Baoxing
4 Zhang, Renjiang
4 Zhou, Jie
3 Anisimov, Dmitry
3 Baker, Rose D.
3 Bashir, Robina
3 Beirão da Veiga, Lourenço
3 Belyaev, Alexander G.
3 Bos, Len P.
3 Bracco, Cesare
3 Chi, Heng
3 Coradello, Luca
3 de Camargo, André Pierro
3 De Rossi, Alessandra
3 Duman, Oktay
3 Ejaz, Syeda Tehmina
3 Fayolle, Pierre-Alain
3 Großmann, David
3 Heydari, Mohammad Mehdi
3 Jiang, Chen
3 Jing, ke
3 Kang, Ning
3 Kollmannsberger, Stefan
...and 856 more Authors
all top 5

Cited in 135 Serials

95 Computer Aided Geometric Design
49 Journal of Computational and Applied Mathematics
39 Applied Mathematics and Computation
31 Computer Methods in Applied Mechanics and Engineering
21 Advances in Computational Mathematics
19 Journal of Computational Physics
19 Numerical Algorithms
16 Applied Numerical Mathematics
14 Numerische Mathematik
13 Journal of Scientific Computing
12 Computers & Mathematics with Applications
10 BIT
10 Mathematics and Computers in Simulation
10 SIAM Journal on Imaging Sciences
9 Mathematics of Computation
9 Applied Mathematics Letters
8 International Journal for Numerical Methods in Engineering
8 Journal of Approximation Theory
8 SIAM Journal on Scientific Computing
8 Mathematical Problems in Engineering
6 Numerical Methods for Partial Differential Equations
6 International Journal of Computer Mathematics
6 Journal of Mathematics
5 Journal of Mathematical Analysis and Applications
5 Journal of Mathematical Imaging and Vision
5 Journal of Inequalities and Applications
4 Mathematical Methods in the Applied Sciences
4 Linear Algebra and its Applications
4 Engineering Analysis with Boundary Elements
4 Abstract and Applied Analysis
4 Advances in Difference Equations
4 International Journal of Applied and Computational Mathematics
3 Calcolo
3 Computing
3 Computational Mechanics
3 Pattern Recognition
3 Computational and Applied Mathematics
3 ETNA. Electronic Transactions on Numerical Analysis
3 Computing and Visualization in Science
3 Journal of Applied Mathematics and Computing
3 Journal of Zhejiang University. Science A
2 Journal of Fluid Mechanics
2 Rocky Mountain Journal of Mathematics
2 Demonstratio Mathematica
2 SIAM Journal on Numerical Analysis
2 Bulletin of the Iranian Mathematical Society
2 ACM Transactions on Graphics
2 Constructive Approximation
2 European Journal of Operational Research
2 Applied and Computational Harmonic Analysis
2 International Journal of Computer Vision
2 The Journal of Fourier Analysis and Applications
2 LMS Journal of Computation and Mathematics
2 Foundations of Computational Mathematics
2 Journal of Applied Mathematics
2 Computational Methods and Function Theory
2 International Journal of Numerical Analysis and Modeling
2 Science China. Mathematics
2 AIMS Mathematics
2 Electronic Research Archive
1 Acta Mechanica
1 Computer Physics Communications
1 International Journal for Numerical Methods in Fluids
1 Information Processing Letters
1 Nuclear Physics. B
1 Scandinavian Journal of Statistics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Chaos, Solitons and Fractals
1 ACM Transactions on Mathematical Software
1 Archivum Mathematicum
1 Information Sciences
1 International Journal of Mathematics and Mathematical Sciences
1 Results in Mathematics
1 Chinese Annals of Mathematics. Series B
1 Acta Mathematica Hungarica
1 Acta Applicandae Mathematicae
1 Journal of Computational Mathematics
1 Acta Mathematicae Applicatae Sinica. English Series
1 Discrete & Computational Geometry
1 Computational Geometry
1 Computational Statistics
1 Computational Mathematics and Mathematical Physics
1 Applied Mathematical Modelling
1 Proceedings of the National Academy of Sciences of the United States of America
1 Celestial Mechanics and Dynamical Astronomy
1 Advances in Engineering Software
1 Continuum Mechanics and Thermodynamics
1 Experimental Mathematics
1 Applied Mathematics. Series B (English Edition)
1 Communications in Numerical Methods in Engineering
1 Numerical Linear Algebra with Applications
1 Russian Journal of Numerical Analysis and Mathematical Modelling
1 International Journal of Shape Modeling
1 Mathematics and Mechanics of Solids
1 Multibody System Dynamics
1 Honam Mathematical Journal
1 European Journal of Mechanics. B. Fluids
1 Communications in Nonlinear Science and Numerical Simulation
1 International Journal of Applied Mathematics and Computer Science
1 Methodology and Computing in Applied Probability
...and 35 more Serials
all top 5

Cited in 46 Fields

539 Numerical analysis (65-XX)
166 Approximations and expansions (41-XX)
71 Computer science (68-XX)
59 Partial differential equations (35-XX)
45 Mechanics of deformable solids (74-XX)
33 Harmonic analysis on Euclidean spaces (42-XX)
28 Fluid mechanics (76-XX)
21 Integral equations (45-XX)
19 Differential geometry (53-XX)
17 Convex and discrete geometry (52-XX)
14 Real functions (26-XX)
11 Information and communication theory, circuits (94-XX)
9 Calculus of variations and optimal control; optimization (49-XX)
9 Global analysis, analysis on manifolds (58-XX)
8 Functions of a complex variable (30-XX)
7 Statistics (62-XX)
7 Biology and other natural sciences (92-XX)
6 Ordinary differential equations (34-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
4 Combinatorics (05-XX)
4 Dynamical systems and ergodic theory (37-XX)
4 Geometry (51-XX)
4 Classical thermodynamics, heat transfer (80-XX)
3 General and overarching topics; collections (00-XX)
3 Potential theory (31-XX)
3 Sequences, series, summability (40-XX)
3 Probability theory and stochastic processes (60-XX)
3 Mechanics of particles and systems (70-XX)
3 Optics, electromagnetic theory (78-XX)
2 Algebraic geometry (14-XX)
2 Topological groups, Lie groups (22-XX)
2 Special functions (33-XX)
2 Functional analysis (46-XX)
2 Operator theory (47-XX)
2 Algebraic topology (55-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Geophysics (86-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Field theory and polynomials (12-XX)
1 Measure and integration (28-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Abstract harmonic analysis (43-XX)
1 Quantum theory (81-XX)
1 Operations research, mathematical programming (90-XX)
1 Systems theory; control (93-XX)
1 Mathematics education (97-XX)

Citations by Year