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Author ID: hormann.kai Recent zbMATH articles by "Hormann, Kai"
Published as: Hormann, Kai; Hormann, K.
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Publications by Year

Citations contained in zbMATH Open

44 Publications have been cited 746 times in 509 Documents Cited by Year
Surface parameterization: a tutorial and survey. Zbl 1065.65030
Floater, Michael S.; Hormann, Kai
104
2005
Barycentric rational interpolation with no poles and high rates of approximation. Zbl 1221.41002
Floater, Michael S.; Hormann, Kai
103
2007
A general construction of barycentric coordinates over convex polygons. Zbl 1095.65016
Floater, Michael S.; Hormann, Kai; Kós, Géza
63
2006
Polynomial reproduction for univariate subdivision schemes of any arity. Zbl 1211.65022
Conti, Costanza; Hormann, Kai
50
2011
Polynomial reproduction by symmetric subdivision schemes. Zbl 1159.41003
Dyn, Nira; Hormann, Kai; Sabin, Malcolm A.; Shen, Zuowei
48
2008
A \(C^2\) four-point subdivision scheme with fourth order accuracy and its extensions. Zbl 1080.65526
Dyn, Nira; Floater, Michael S.; Hormann, Kai
45
2005
A family of subdivision schemes with cubic precision. Zbl 1172.65308
Hormann, Kai; Sabin, Malcolm A.
36
2008
On the Lebesgue constant of barycentric rational interpolation at equidistant nodes. Zbl 1252.41003
Bos, Len; De Marchi, Stefano; Hormann, Kai; Klein, Georges
34
2012
Interpolating and approximating scattered 3D data with hierarchical tensor product B-splines. Zbl 0937.65019
Greiner, Günther; Hormann, Kai
27
1997
On the Lebesgue constant of Berrut’s rational interpolant at equidistant nodes. Zbl 1231.41003
Bos, Len; De Marchi, Stefano; Hormann, Kai
23
2011
Generalized Lane-Riesenfeld algorithms. Zbl 1355.65024
Cashman, Thomas J.; Hormann, Kai; Reif, Ulrich
18
2013
Four-point curve subdivision based on iterated chordal and centripetal parameterizations. Zbl 1205.65077
Dyn, Nira; Floater, Michael S.; Hormann, Kai
16
2009
On the approximation order of triangular Shepard interpolation. Zbl 1335.65016
Dell’Accio, Francesco; Di Tommaso, Filomena; Hormann, Kai
16
2016
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 Lebesgue constant of barycentric rational Hermite interpolants at equidistant nodes. Zbl 1405.41002
Cirillo, Emiliano; Hormann, Kai
15
2019
Generalized barycentric coordinates in computer graphics and computational mechanics. Zbl 1377.68003
13
2018
The point of polygon problem for arbitrary polygons. Zbl 0990.68173
Hormann, Kai; Agathos, Alexander
12
2001
Properties of dual pseudo-splines. Zbl 1191.41003
Dong, Bin; Dyn, Nira; Hormann, Kai
11
2010
Parameterization of triangulations and unorganized points. Zbl 1004.65029
Floater, Michael; Hormann, Kai
9
2002
Geometric conditions for tangent continuity of interpolatory planar subdivision curves. Zbl 1256.65015
Dyn, Nira; Hormann, Kai
9
2012
Optimizing 3D triangulations using discrete curvature analysis. Zbl 0989.65037
Dyn, Nira; Hormann, Kai; Kim, Sun-Jeong; Levin, David
7
2001
Local barycentric coordinates. Zbl 1396.65071
Zhang, Juyong; Deng, Bailin; Liu, Zishun; Patanè, Giuseppe; Bouaziz, Sofien; Hormann, Kai; Liu, Ligang
7
2014
Remeshing triangulated surfaces with optimal parameterizations. Zbl 1206.65046
Hormann, K.; Labsik, U.; Greiner, G.
7
2001
Barycentric interpolation. Zbl 1323.41004
Hormann, Kai
6
2014
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
Reconstruction of a function from Hermite-Birkhoff data. Zbl 1426.65012
Dell’Accio, Francesco; Di Tommaso, Filomena; Hormann, Kai
5
2018
An iterative approach to barycentric rational Hermite interpolation. Zbl 1478.65010
Cirillo, Emiliano; Hormann, Kai
4
2018
On Landau theory and symmetric energy landscapes for phase transitions. Zbl 1171.74036
Hormann, Kai; Zimmer, Johannes
4
2007
Symmetric four-directional bivariate pseudo-spline symbols. Zbl 1398.65022
Conti, Costanza; Deng, Chongyang; Hormann, Kai
4
2018
Smooth bijective maps between arbitrary planar polygons. Zbl 1417.65109
Schneider, Teseo; Hormann, Kai
3
2015
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
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
3
2020
Iterative coordinates. Zbl 07200774
Deng, Chongyang; Chang, Qingjun; Hormann, Kai
2
2020
Triangulating point clouds with spherical topology. Zbl 1043.65028
Hormann, Kai; Reimers, Martin
2
2003
Pyramid algorithms for barycentric rational interpolation. Zbl 1417.65060
Hormann, Kai; Schaefer, Scott
1
2016
On the norms of the Dubuc-Deslauriers subdivision schemes. Zbl 1284.65029
Deng, Chongyang; Hormann, Kai; Zhang, Zhifeng
1
2013
Convergence rates of a Hermite generalization of Floater-Hormann interpolants. Zbl 1493.65025
Cirillo, Emiliano; Hormann, Kai; Sidon, Jean
1
2020
Algebraic and geometric characterizations of a class of planar quartic curves with rational offsets. Zbl 07200779
Hormann, Kai; Zheng, Jianmin
1
2020
Parametric finite elements with bijective mappings. Zbl 1381.65093
Zulian, Patrick; Schneider, Teseo; Hormann, Kai; Krause, Rolf
1
2017
Path planning with divergence-based distance functions. Zbl 07038576
Chen, Renjie; Gotsman, Craig; Hormann, Kai
1
2018
Parameterization of manifold triangulations. Zbl 1040.41006
Floater, Michael S.; Hormann, Kai; Reimers, Martin
1
2002
New shape control tools for rational Bézier curve design. Zbl 1472.65024
Ramanantoanina, Andriamahenina; Hormann, Kai
1
2021
New shape control tools for rational Bézier curve design. Zbl 1472.65024
Ramanantoanina, Andriamahenina; Hormann, Kai
1
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
3
2020
Iterative coordinates. Zbl 07200774
Deng, Chongyang; Chang, Qingjun; Hormann, Kai
2
2020
Convergence rates of a Hermite generalization of Floater-Hormann interpolants. Zbl 1493.65025
Cirillo, Emiliano; Hormann, Kai; Sidon, Jean
1
2020
Algebraic and geometric characterizations of a class of planar quartic curves with rational offsets. Zbl 07200779
Hormann, Kai; Zheng, Jianmin
1
2020
On the Lebesgue constant of barycentric rational Hermite interpolants at equidistant nodes. Zbl 1405.41002
Cirillo, Emiliano; Hormann, Kai
15
2019
Generalized barycentric coordinates in computer graphics and computational mechanics. Zbl 1377.68003
13
2018
Reconstruction of a function from Hermite-Birkhoff data. Zbl 1426.65012
Dell’Accio, Francesco; Di Tommaso, Filomena; Hormann, Kai
5
2018
An iterative approach to barycentric rational Hermite interpolation. Zbl 1478.65010
Cirillo, Emiliano; Hormann, Kai
4
2018
Symmetric four-directional bivariate pseudo-spline symbols. Zbl 1398.65022
Conti, Costanza; Deng, Chongyang; Hormann, Kai
4
2018
Path planning with divergence-based distance functions. Zbl 07038576
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
1
2017
On the approximation order of triangular Shepard interpolation. Zbl 1335.65016
Dell’Accio, Francesco; Di Tommaso, Filomena; Hormann, Kai
16
2016
Subdividing barycentric coordinates. Zbl 1418.65013
Anisimov, Dmitry; Deng, Chongyang; Hormann, Kai
3
2016
Pyramid algorithms for barycentric rational interpolation. Zbl 1417.65060
Hormann, Kai; Schaefer, Scott
1
2016
Smooth bijective maps between arbitrary planar polygons. Zbl 1417.65109
Schneider, Teseo; Hormann, Kai
3
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
7
2014
Barycentric interpolation. Zbl 1323.41004
Hormann, Kai
6
2014
Generalized Lane-Riesenfeld algorithms. Zbl 1355.65024
Cashman, Thomas J.; Hormann, Kai; Reif, Ulrich
18
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
34
2012
Geometric conditions for tangent continuity of interpolatory planar subdivision curves. Zbl 1256.65015
Dyn, Nira; Hormann, Kai
9
2012
Polynomial reproduction for univariate subdivision schemes of any arity. Zbl 1211.65022
Conti, Costanza; Hormann, Kai
50
2011
On the Lebesgue constant of Berrut’s rational interpolant at equidistant nodes. Zbl 1231.41003
Bos, Len; De Marchi, Stefano; Hormann, Kai
23
2011
Properties of dual pseudo-splines. Zbl 1191.41003
Dong, Bin; Dyn, Nira; Hormann, Kai
11
2010
Four-point curve subdivision based on iterated chordal and centripetal parameterizations. Zbl 1205.65077
Dyn, Nira; Floater, Michael S.; Hormann, Kai
16
2009
Polynomial reproduction by symmetric subdivision schemes. Zbl 1159.41003
Dyn, Nira; Hormann, Kai; Sabin, Malcolm A.; Shen, Zuowei
48
2008
A family of subdivision schemes with cubic precision. Zbl 1172.65308
Hormann, Kai; Sabin, Malcolm A.
36
2008
Barycentric rational interpolation with no poles and high rates of approximation. Zbl 1221.41002
Floater, Michael S.; Hormann, Kai
103
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
63
2006
Surface parameterization: a tutorial and survey. Zbl 1065.65030
Floater, Michael S.; Hormann, Kai
104
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
45
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
12
2001
Optimizing 3D triangulations using discrete curvature analysis. Zbl 0989.65037
Dyn, Nira; Hormann, Kai; Kim, Sun-Jeong; Levin, David
7
2001
Remeshing triangulated surfaces with optimal parameterizations. Zbl 1206.65046
Hormann, K.; Labsik, U.; Greiner, G.
7
2001
Interpolating and approximating scattered 3D data with hierarchical tensor product B-splines. Zbl 0937.65019
Greiner, Günther; Hormann, Kai
27
1997
all top 5

Cited by 772 Authors

25 Romani, Lucia
22 Hormann, Kai
21 Mustafa, Ghulam
17 Conti, Costanza
12 Floater, Michael S.
11 Berrut, Jean-Paul
11 Dell’Accio, Francesco
11 Deng, Chongyang
11 Jüttler, Bert
11 Lui, Lok Ming
11 Siddiqi, Shahid Saeed
10 De Marchi, Stefano
10 Di Tommaso, Filomena
10 Dyn, Nira
9 Abdi, Ali
9 Choi, Gary Pui-Tung
9 Rehan, Kashif
9 Yau, Shing-Tung
8 Ruuth, Steven J.
7 Zheng, Hongchan
6 Bajaj, Chandrajit L.
6 Băleanu, Dumitru I.
6 Deng, Jiansong
6 Giannelli, Carlotta
6 Hameed, Rabia
6 Hosseini, Seyyed Ahmad
6 Tan, Jieqing
5 Beccari, Carolina Vittoria
5 Gemignani, Luca
5 Klein, Georges
5 Lin, Wen-Wei
5 Ma, Weiyin
5 Yueh, Mei-Heng
5 Zhang, Li
4 Amat, Sergio P.
4 Ashraf, Pakeeza
4 Casciola, Giulio
4 Cavoretto, Roberto
4 Charina, Maria
4 Cheng, Yongling
4 Cirillo, Emiliano
4 Elefante, Giacomo
4 Ghaffar, Abdul
4 Gillette, Andrew
4 Gu, Xianfeng
4 Huang, Jin
4 Ikemakhen, Aziz
4 Khan, Faheem
4 Li, Yajuan
4 Ling, Leevan
4 Marchetti, Francesco
4 Nguyen-Xuan, Hung
4 Nouisser, Otheman
4 Rand, Alexander
4 Reali, Alessandro
4 Reif, Ulrich
4 Sabin, Malcolm A.
4 Sidon, Jean
4 Sooppy Nisar, Kottakkaran
4 Trefethen, Lloyd Nicholas
4 Viscardi, Alberto
4 Wang, Yanqiu
4 Yoon, Jungho
4 Zeng, Wei
4 Zhang, Renjiang
4 Zhou, Jie
3 Bashir, Robina
3 Beirão da Veiga, Lourenço
3 Belyaev, Alexander G.
3 Bos, Len P.
3 Bracco, Cesare
3 Coradello, Luca
3 D’Angella, Davide
3 de Camargo, André Pierro
3 De Rossi, Alessandra
3 Ejaz, Syeda Tehmina
3 Fayolle, Pierre-Alain
3 Großmann, David
3 Gu, Xianfeng David
3 Hojjati, Gholamreza
3 Jing, ke
3 Kang, Ning
3 Lai, Mingjun
3 Liandrat, Jacques
3 Luo, Feng
3 Mascarenhas, Walter F.
3 Mokriš, Dominik
3 Nakatsukasa, Yuji
3 Piret, Cécile
3 Schneider, Teseo
3 Sestini, Alessandra
3 Sharon, Nir
3 Siar, Najoua
3 Speleers, Hendrik
3 Sukumar, Natarajan
3 Talischi, Cameron
3 Trillo, Juan Carlos
3 Wang, Guozhao
3 Xu, Guoliang
3 Yáñez, Dionisio F.
...and 672 more Authors
all top 5

Cited in 117 Serials

74 Computer Aided Geometric Design
44 Journal of Computational and Applied Mathematics
32 Applied Mathematics and Computation
22 Computer Methods in Applied Mechanics and Engineering
17 Journal of Computational Physics
17 Advances in Computational Mathematics
15 Numerical Algorithms
14 Numerische Mathematik
14 Applied Numerical Mathematics
13 Journal of Scientific Computing
9 Mathematics of Computation
9 Applied Mathematics Letters
8 BIT
8 Journal of Approximation Theory
8 SIAM Journal on Scientific Computing
7 Computers & Mathematics with Applications
7 Mathematical Problems in Engineering
7 SIAM Journal on Imaging Sciences
6 Journal of Mathematics
5 Mathematics and Computers in Simulation
5 International Journal of Computer Mathematics
5 Journal of Inequalities and Applications
4 Journal of Mathematical Analysis and Applications
4 Linear Algebra and its Applications
4 Journal of Mathematical Imaging and Vision
4 Abstract and Applied Analysis
4 Advances in Difference Equations
4 International Journal of Applied and Computational Mathematics
3 Computing
3 International Journal for Numerical Methods in Engineering
3 Computational Mechanics
3 Pattern Recognition
3 Computational and Applied Mathematics
3 ETNA. Electronic Transactions on Numerical Analysis
3 Journal of Applied Mathematics and Computing
3 Journal of Zhejiang University. Science A
2 Calcolo
2 SIAM Journal on Numerical Analysis
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 Engineering Analysis with Boundary Elements
2 The Journal of Fourier Analysis and Applications
2 Computing and Visualization in Science
2 LMS Journal of Computation and Mathematics
2 Foundations of Computational Mathematics
2 Journal of Applied Mathematics
2 Computational Methods and Function Theory
2 Science China. Mathematics
2 AIMS Mathematics
1 Acta Mechanica
1 Information Processing Letters
1 Journal of Fluid Mechanics
1 Mathematical Methods in the Applied Sciences
1 Rocky Mountain Journal of Mathematics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Chaos, Solitons and Fractals
1 ACM Transactions on Mathematical Software
1 Demonstratio Mathematica
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 Bulletin of the Iranian Mathematical Society
1 Journal of Computational Mathematics
1 Acta Mathematicae Applicatae Sinica. English Series
1 Discrete & Computational Geometry
1 Numerical Methods for Partial Differential Equations
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 Russian Journal of Numerical Analysis and Mathematical Modelling
1 International Journal of Shape Modeling
1 Mathematics and Mechanics of Solids
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 International Journal of Nonlinear Sciences and Numerical Simulation
1 Archives of Computational Methods in Engineering
1 Journal of Systems Science and Complexity
1 Computational Methods in Applied Mathematics
1 Analysis in Theory and Applications
1 International Journal of Wavelets, Multiresolution and Information Processing
1 Mathematical Biosciences and Engineering
1 Science in China. Series F
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 The Journal of Prime Research in Mathematics
1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
...and 17 more Serials
all top 5

Cited in 43 Fields

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

Citations by Year