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Dyn, Nira

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Author ID: dyn.nira Recent zbMATH articles by "Dyn, Nira"
Published as: Dyn, N.; Dyn, Nira
Homepage: http://www.math.tau.ac.il/~niradyn/
External Links: MGP · Wikidata · ResearchGate · dblp · GND
Documents Indexed: 173 Publications since 1980, including 2 Books
all top 5

Co-Authors

19 single-authored
27 Levin, David N.
14 Farkhi, Elza M.
12 Levin, David I. W.
9 Ron, Amos
8 Mokhov, Alona
7 Cohen, Albert
7 Conti, Costanza
7 Hormann, Kai
7 Micchelli, Charles A.
7 Rippa, Shmuel
6 Braess, Dietrich
5 Floater, Michael S.
5 Gregory, John A.
5 Iske, Armin
4 Lipovetsky, Evgeny
4 Sharon, Nir
4 Wollberg, Z.
4 Yeshurun, Yehezkel
3 Buhmann, Martin Dietrich
3 Kels, Shay
3 Yad-Shalom, Itai
2 Aràndiga, Francesc
2 Berdysheva, Elena E.
2 de Boor, Carl
2 Demaret, Laurent
2 Donat, Rosa
2 Goldman, Ron N.
2 Gotsman, Craig
2 Levin, David A.
2 Levin, David Ya.
2 Lubinsky, Doron S.
2 Luzzatto, Ariel
2 Matei, Basarab
2 Narcowich, Francis J.
2 Romani, Lucia
2 Sheffer, Alla
2 Tassa, Tamir
2 Wallner, Johannes
2 Ward, Joseph Dinneen
2 Yoon, Jungho
1 Alkalai, Nurit
1 Allon, N.
1 Arad, Nur
1 Ayalon, Ziv
1 Baier, Robert
1 Bareket, Miriam
1 Barry, Phillip J.
1 Beatson, Rick K.
1 Boyanov, Borislav Dechev
1 Bozzini, Mira
1 Cheney, Elliott Ward jun.
1 Dahmen, Wolfgang A.
1 Dekel, Shai
1 Derfel, G. A.
1 Dong, Bin
1 Donoho, David Leigh
1 Edelman, Alan Stuart
1 Ferguson, Warren E. jun.
1 Goldman, Ronald N.
1 Goodman, Timothy N. T.
1 Goren, Ifat
1 Grohs, Philipp
1 Heard, Allison
1 Hecht, Frédéric
1 Hed, Sigalit
1 Itai, Uri
1 Jackson, I. R. H.
1 Jetter, Kurt
1 Jüttler, Bert
1 Kaber, Sidimahmoud
1 Kazinnik, Roman
1 Keinan, Shirley
1 Kim, Sun-Jeong
1 Kounchev, Ognyan Ivanov
1 Kozlov, Pavel
1 Kuijt, Frans
1 Leviatan, Dany
1 Levin, D. E.
1 Levin, D. G.
1 Levin, Daniel
1 Light, William A.
1 Liu, Dongri
1 Lorentz, Georg Gunther
1 Lyche, Tom
1 Manni, Carla
1 Marinov, Martin Cvetanov
1 Massopust, Peter R.
1 Mazure, Marie-Laurence
1 Mirebeau, Jean-Marie
1 Mokriš, Dominik
1 Moosmüller, Caroline
1 Oswald, Peter
1 Pinkus, Allan M.
1 Postel, Marie
1 Puthan Veedu, Viswanathan
1 Render, Hermann
1 Riemenschneider, Sherman D.
1 Rivlin, Theodore Joseph
1 Rossini, Milvia
1 Sabin, Malcolm A.
...and 10 more Co-Authors
all top 5

Serials

17 Journal of Approximation Theory
15 Computer Aided Geometric Design
10 Journal of Computational and Applied Mathematics
9 Constructive Approximation
8 Applied and Computational Harmonic Analysis
4 Mathematics of Computation
4 Foundations of Computational Mathematics
3 Biological Cybernetics
3 SIAM Journal on Numerical Analysis
3 SIAM Journal on Mathematical Analysis
2 IMA Journal of Numerical Analysis
2 Journal d’Analyse Mathématique
2 Journal of Mathematical Analysis and Applications
2 Numerische Mathematik
2 Advances in Computational Mathematics
2 Serdica Mathematical Journal
2 Journal of Fixed Point Theory and Applications
1 Israel Journal of Mathematics
1 Journal of Computational Physics
1 Bulletin of Mathematical Biology
1 Archiv der Mathematik
1 Bulletin of the Calcutta Mathematical Society
1 Calcolo
1 Canadian Journal of Mathematics
1 Canadian Mathematical Bulletin
1 Computing
1 Indagationes Mathematicae
1 Mathematics and Computers in Simulation
1 Numerical Functional Analysis and Optimization
1 Pacific Journal of Mathematics
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Proceedings of the London Mathematical Society. Third Series
1 Quarterly of Applied Mathematics
1 RAIRO. Analyse Numérique
1 Transactions of the American Mathematical Society
1 SIAM Journal on Scientific and Statistical Computing
1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
1 Analysis
1 Applied Numerical Mathematics
1 RAIRO. Modélisation Mathématique et Analyse Numérique
1 ACM Transactions on Graphics
1 Journal of Cryptology
1 CAD. Computer-Aided Design
1 Signal Processing
1 Aequationes Mathematicae
1 Annals of Numerical Mathematics
1 Discrete and Continuous Dynamical Systems
1 The Journal of Fourier Analysis and Applications
1 Acta Numerica
1 Algorithms
1 Set-Valued and Variational Analysis

Publications by Year

Citations contained in zbMATH Open

148 Publications have been cited 2,211 times in 1,232 Documents Cited by Year
A 4-point interpolatory subdivision scheme for curve design. Zbl 0638.65009
Dyn, Nira; Levin, David; Gregory, John A.
188
1987
Subdivision schemes in geometric modelling. Zbl 1105.65310
Dyn, Nira; Levin, David
165
2002
Subdivision schemes in computer-aided geometric design. Zbl 0760.65012
Dyn, N.
118
1992
A butterfly subdivision scheme for surface interpolation with tension control. Zbl 0726.68076
Dyn, Nira; Levin, David; Gregory, John A.
98
1990
Analysis of uniform binary subdivision schemes for curve design. Zbl 0724.41011
Dyn, Nira; Gregory, John A.; Levin, David
62
1991
Analysis of asymptotically equivalent binary subdivision schemes. Zbl 0836.65012
Dyn, Nira; Levin, David
57
1995
Convergence and \(C^1\) analysis of subdivision schemes on manifolds by proximity. Zbl 1083.65023
Wallner, Johannes; Dyn, Nira
53
2005
Quasilinear subdivision schemes with applications to ENO interpolation. Zbl 1046.65071
Cohen, Albert; Dyn, Nira; Matei, Basarab
52
2003
Interpolation and approximation by radial and related functions. Zbl 0705.41006
Dyn, N.
44
1989
Numerical procedures for surface fitting of scattered data by radial functions. Zbl 0631.65008
Dyn, Nira; Levin, David; Rippa, Samuel
44
1986
Polynomial reproduction by symmetric subdivision schemes. Zbl 1159.41003
Dyn, Nira; Hormann, Kai; Sabin, Malcolm A.; Shen, Zuowei
43
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
41
2005
Data dependent triangulations for piecewise linear interpolation. Zbl 0699.65004
Dyn, Nira; Levin, David; Rippa, Samuel
41
1990
Generalized refinement equations and subdivision processes. Zbl 0823.45001
Derfel, G.; Dyn, N.; Levin, D.
40
1995
Exponentials reproducing subdivision schemes. Zbl 1095.41001
Dyn, Nira; Levin, David; Luzzatto, Ariel
39
2003
Piecewise polynomial spaces and geometric continuity of curves. Zbl 0638.65010
Dyn, Nira; Micchelli, Charles A.
37
1988
Spectral convergence of multiquadratic interpolation. Zbl 0791.41002
Buhmann, Martin; Dyn, Nira
36
1993
Nonstationary subdivision schemes and multiresolution analysis. Zbl 0862.41013
Cohen, Albert; Dyn, Nira
33
1996
The numerical solution of equality-constrained quadratic programming problems. Zbl 0527.49030
Dyn, Nira; Ferguson, Warren E. jun.
32
1983
Analysis of Hermite-interpolatory subdivision schemes. Zbl 0967.42024
Dyn, Nira; Levin, David
30
1999
On quasi-interpolation by radial basis functions with scattered centres. Zbl 0824.41010
Buhmann, M. D.; Dyn, N.; Levin, D.
29
1995
Local approximation by certain spaces of exponential polynomials, approximation order of exponential box splines, and related interpolation problems. Zbl 0699.41012
Dyn, N.; Ron, A.
28
1990
Variational principles and Sobolev-type estimates for generalized interpolation on a Riemannian manifold. Zbl 0948.41015
Dyn, N.; Narcowich, F. J.; Ward, J. D.
27
1999
Interpolatory convexity-preserving subdivision schemes for curves and surfaces. Zbl 0755.65014
Dyn, N.; Levin, D.; Liu, D.
27
1992
Generalized Gaussian quadrature formulas. Zbl 0607.41009
Bojanov, Borislav D.; Braess, Dietrich; Dyn, Nira
27
1986
On multivariate approximation by integer translates of a basis function. Zbl 0769.41008
Dyn, N.; Jackson, I. R. H.; Levin, D.; Ron, A.
24
1992
Interpolation and approximation of piecewise smooth functions. Zbl 1092.65004
Arandiga, Francesc; Cohen, Albert; Donat, Rosa; Dyn, Nira
22
2005
Multiquadric \(B\)-splines. Zbl 0864.41012
Beatson, R. K.; Dyn, N.
22
1996
Convexity preservation of the four-point interpolatory subdivision scheme. Zbl 0994.41018
Dyn, Nira; Kuijt, Frans; Levin, David; van Damme, Ruud
20
1999
Interpolating subdivision schemes for the generation of curves and surfaces. Zbl 0707.41002
Dyn, N.; Levin, D.
20
1990
Geometrically controlled 4-point interpolatory schemes. Zbl 1065.65036
Marinov, Martin; Dyn, Nira; Levin, David
19
2005
Analysis of convergence and smoothness by the formalism of Laurent polynomials. Zbl 1004.65028
Dyn, Nira
19
2002
Algorithms for the construction of data dependent triangulations. Zbl 0752.41002
Dyn, N.; Levin, D.; Rippa, S.
18
1990
Interpolation by piecewise-linear radial basis functions. I. Zbl 0678.41001
Dyn, Nira; Light, W. A.; Cheney, E. W.
18
1989
Approximation of piecewise smooth functions and images by edge-adapted (ENO-EA) nonlinear multiresolution techniques. Zbl 1168.68592
Arandiga, Francesc; Cohen, Albert; Donat, Rosa; Dyn, Nira; Matei, Basarab
16
2008
Analysis of Hermite-type subdivision schemes. Zbl 0927.65034
Dyn, Nira; Levin, David
16
1995
Radial basis function approximation: From gridded centres to scattered centres. Zbl 0827.41007
Dyn, N.; Ron, A.
16
1995
Four-point curve subdivision based on iterated chordal and centripetal parameterizations. Zbl 1205.65077
Dyn, Nira; Floater, Michael S.; Hormann, Kai
15
2009
Image compression by linear splines over adaptive triangulations. Zbl 1172.94312
Demaret, Laurent; Dyn, Nira; Iske, Armin
15
2006
Multiresolution schemes of triangles for scalar conservation laws. Zbl 0959.65105
Cohen, Albert; Dyn, Nira; Kaber, Sidi Mahmoud; Postel, Marie
15
2000
Using parameters to increase smoothness of curves and surfaces generated by subdivision. Zbl 0711.65007
Dyn, Nira; Levin, David; Micchelli, Charles A.
15
1990
Recurrence relations for Tchebycheffian B-splines. Zbl 0675.41021
Dyn, Nira; Ron, Amos
15
1988
Iterative solution of systems originating from integral equations and surface interpolation. Zbl 0517.65096
Dyn, Nira; Levin, David
15
1983
Convergence of univariate non-stationary subdivision schemes via asymptotic similarity. Zbl 1417.65104
Conti, Constanza; Dyn, N.; Manni, C.; Mazure, Marie-Laurence
13
2015
Regularity of generalized Daubechies wavelets reproducing exponential polynomials with real-valued parameters. Zbl 1294.42007
Dyn, Nira; Kounchev, Ognyan; Levin, David; Render, Hermann
11
2014
Multipartite secret sharing by bivariate interpolation. Zbl 1159.94373
Tassa, Tamir; Dyn, Nira
11
2009
Analysis of univariate nonstationary subdivision schemes with application to Gaussian-based interpolatory schemes. Zbl 1132.41302
Dyn, Nira; Levin, David; Yoon, Jungho
11
2007
Adaptive thinning for bivariate scattered data. Zbl 1002.65020
Dyn, N.; Floater, M. S.; Iske, A.
11
2002
On locally supported basis functions for the representation of geometrically continuous curves. Zbl 0633.41005
Dyn, Nira; Edelman, Alan; Micchelli, Charles A.
11
1987
Interpolatory subdivision schemes. Zbl 1004.65027
Dyn, Nira
10
2002
On two polynomial spaces associated with a box spline. Zbl 0678.41009
de Boor, Carl; Dyn, Nira; Ron, Amos
10
1991
Identities for piecewise polynomial spaces determined by connection matrices. Zbl 0769.41007
Barry, Phillip J.; Dyn, Nira; Goldman, Ronald N.; Micchelli, Charles A.
10
1991
On the convergence rates of subdivision algorithms for box spline surfaces. Zbl 0629.41008
Dahmen, Wolfgang; Dyn, Nira; Levin, David
10
1985
Set-valued approximations with Minkowski averages- convergence and convexification rates. Zbl 1074.41011
Dyn, Nira; Farkhi, Elza
9
2004
Stability and inter-dependence of matrix subdivision schemes. Zbl 1273.41022
Cohen, Albert; Dyn, Nira; Levin, David
9
1996
Multiresolution analysis by infinitely differentiable compactly supported functions. Zbl 0811.42011
Dyn, N.; Ron, A.
9
1995
On the estimation of functions of several variables from aggregated data. Zbl 0488.65079
Dyn, Nira; Wahba, Grace
9
1982
Properties of dual pseudo-splines. Zbl 1191.41003
Dong, Bin; Dyn, Nira; Hormann, Kai
8
2010
Optimizing 3D triangulations using discrete curvature analysis. Zbl 0989.65037
Dyn, Nira; Hormann, Kai; Kim, Sun-Jeong; Levin, David
8
2001
Smooth multiwavelet duals of Alpert bases by moment-interpolating refinement. Zbl 0967.65120
Donoho, David L.; Dyn, Nira; Levin, David; Yu, Thomas P. Y.
8
2000
Spline subdivision schemes for convex compact sets. Zbl 0970.65016
Dyn, Nira; Farkhi, Elza
8
2000
Positive powers of certain conditionally negative definite matrices. Zbl 0602.15018
Dyn, Nira; Goodman, Timothy N. T.; Micchelli, Charles A.
8
1986
On the uniqueness of monosplines and perfect splines of least L//1- and L//2-norm. Zbl 0512.41021
Braess, Dietrich; Dyn, Nira
8
1982
Geometric conditions for tangent continuity of interpolatory planar subdivision curves. Zbl 1256.65015
Dyn, Nira; Hormann, Kai
7
2012
Adaptive multiresolution analysis based on anisotropic triangulations. Zbl 1242.65293
Cohen, Albert; Dyn, Nira; Hecht, Frédéric; Mirebeau, Jean-Marie
7
2012
Construction of generators of quasi-interpolation operators of high approximation orders in spaces of polyharmonic splines. Zbl 1231.65022
Bozzini, Mira; Dyn, Nira; Rossini, Milvia
7
2011
Approximation order of interpolatory nonlinear subdivision schemes. Zbl 1204.65019
Dyn, Nira; Grohs, Philipp; Wallner, Johannes
7
2010
Univariate subdivision and multi-scale transforms: the nonlinear case. Zbl 1190.65204
Dyn, Nira; Oswald, Peter
7
2009
Approximations of set-valued functions by metric linear operators. Zbl 1123.26024
Dyn, Nira; Farkhi, Elza; Mokhov, Alona
7
2007
Spline subdivision schemes for compact sets. A survey. Zbl 1041.42023
Dyn, N.; Farkhi, E.
7
2002
Spline subdivision schemes for compact sets with metric averages. Zbl 1112.41301
Dyn, Nira; Farkhi, Elza
7
2001
A Hermite subdivision scheme for the evaluation of the Powell-Sabin 12-split element. Zbl 0930.65005
Dyn, Nira; Lyche, Tom
7
1998
Error estimates for multiquadric interpolation. Zbl 0734.41003
Buhmann, M. D.; Dyn, N.
7
1991
Continuity of the Birkhoff interpolation. Zbl 0503.41004
Dyn, N.; Lorentz, G. G.; Riemenschneider, S. D.
7
1982
Subdivision schemes of sets and the approximation of set-valued functions in the symmetric difference metric. Zbl 1282.41013
Kels, Shay; Dyn, Nira
6
2013
Adaptive thinning for terrain modelling and image compression. Zbl 1066.94504
Demaret, Laurent; Dyn, Nira; Floater, Michael S.; Iske, Armin
6
2005
Robust spherical parameterization of triangular meshes. Zbl 1060.65028
Sheffer, A.; Gotsman, C.; Dyn, N.
6
2004
The subdivision experience. Zbl 0815.65010
Dyn, N.; Levin, D.
6
1994
Transforming triangulations in polygonal domains. Zbl 0806.65152
Dyn, Nira; Goren, Ifat; Rippa, Shmuel
6
1993
A global approach to the refinement of manifold data. Zbl 1351.65013
Dyn, Nira; Sharon, Nir
5
2017
Approximation of set-valued functions. Adaptation of classical approximation operators. Zbl 1321.41034
Dyn, Nira; Farkhi, Elza; Mokhov, Alona
5
2014
A new method for the analysis of univariate nonuniform subdivision schemes. Zbl 1308.65020
Dyn, Nira; Levin, David; Yoon, Jungho
5
2014
Decompositions of trigonometric polynomials with applications to multivariate subdivision schemes. Zbl 1264.41021
Dyn, Nira; Skopina, Maria
5
2013
Analysis of subdivision schemes for nets of functions by proximity and controllability. Zbl 1235.65020
Conti, Costanza; Dyn, Nira
5
2011
Approximations of set-valued functions based on the metric average. Zbl 1156.26307
Dyn, Nira; Mokhov, Alona
5
2006
Three families of nonlinear subdivision schemes. Zbl 1205.65035
Dyn, Nira
5
2005
Poly-scale refinability and subdivision. Zbl 1011.42017
Dekel, S.; Dyn, N.
5
2002
Univariate adaptive thinning. Zbl 0989.65007
Dyn, Nira; Floater, Michael S.; Iske, Armin
5
2001
Piecewise uniform subdivision schemes. Zbl 0835.65163
Dyn, N.; Gregory, J. A.; Levin, D.
5
1995
Identification of MGB cells by Volterra kernels. II. Towards a functional classification of cells. Zbl 0609.92009
Yeshurun, Y.; Wollberg, Z.; Dyn, N.
5
1987
Smooth interpolation by bisection algorithms. Zbl 0612.41005
Dyn, Nira; Levin, David
5
1986
Identification of MGB cells by Volterra kernels. I. Prediction of responses to species specific vocalizations. Zbl 0561.92009
Yeshurun, Y.; Wollberg, Z.; Dyn, N.; Allon, N.
5
1985
Perfect splines of minimum norm for monotone norms and norms induced by inner products, with applications to tensor product approximations and n- widths of integral operators. Zbl 0529.41014
Dyn, Nira
5
1983
On the existence of Hermite-Birkhoff quadrature formulas of Gaussian type. Zbl 0509.41011
Dyn, Nira
5
1981
Manifold-valued subdivision schemes based on geodesic inductive averaging. Zbl 1355.65032
Dyn, Nira; Sharon, Nir
4
2017
Interpolatory blending net subdivision schemes of Dubuc-Deslauriers type. Zbl 1280.65023
Conti, Costanza; Dyn, Nira; Romani, Lucia
4
2012
Convergence and smoothness of nonlinear Lane-Riesenfeld algorithms in the functional setting. Zbl 1217.65035
Dyn, Nira; Goldman, Ron
4
2011
A framework for interpolation and approximation on Riemannian manifolds. Zbl 1049.41014
Dyn, Nira; Narcowich, Francis J.; Ward, Joseph D.
4
1997
Data-dependent triangulations for scattered data interpolation and finite element approximation. Zbl 0776.65007
Dyn, Nira; Rippa, Shmuel
4
1993
Interpolation of scattered data by radial functions. Zbl 0628.41001
Dyn, Nira
4
1987
Increasing the smoothness of vector and Hermite subdivision schemes. Zbl 07323625
Moosmüller, Caroline; Dyn, Nira
1
2019
Non-stationary versions of fixed-point theory, with applications to fractals and subdivision. Zbl 1412.28007
Levin, David; Dyn, Nira; Puthan Veedu, Viswanathan
1
2019
Metric approximation of set-valued functions of bounded variation. Zbl 1405.26029
Berdysheva, Elena E.; Dyn, Nira; Farkhi, Elza; Mokhov, Alona
1
2019
Convergence and smoothness of tensor-product of two non-uniform linear subdivision schemes. Zbl 07038573
Conti, Costanza; Dyn, Nira
1
2018
The metric integral of set-valued functions. Zbl 1405.26030
Dyn, Nira; Farkhi, Elza; Mokhov, Alona
1
2018
A global approach to the refinement of manifold data. Zbl 1351.65013
Dyn, Nira; Sharon, Nir
5
2017
Manifold-valued subdivision schemes based on geodesic inductive averaging. Zbl 1355.65032
Dyn, Nira; Sharon, Nir
4
2017
Convergence of univariate non-stationary subdivision schemes via asymptotic similarity. Zbl 1417.65104
Conti, Constanza; Dyn, N.; Manni, C.; Mazure, Marie-Laurence
13
2015
Univariate subdivision schemes for noisy data with geometric applications. Zbl 1417.65079
Dyn, Nira; Heard, Allison; Hormann, Kai; Sharon, Nir
3
2015
Regularity of generalized Daubechies wavelets reproducing exponential polynomials with real-valued parameters. Zbl 1294.42007
Dyn, Nira; Kounchev, Ognyan; Levin, David; Render, Hermann
11
2014
Approximation of set-valued functions. Adaptation of classical approximation operators. Zbl 1321.41034
Dyn, Nira; Farkhi, Elza; Mokhov, Alona
5
2014
A new method for the analysis of univariate nonuniform subdivision schemes. Zbl 1308.65020
Dyn, Nira; Levin, David; Yoon, Jungho
5
2014
Subdivision schemes of sets and the approximation of set-valued functions in the symmetric difference metric. Zbl 1282.41013
Kels, Shay; Dyn, Nira
6
2013
Decompositions of trigonometric polynomials with applications to multivariate subdivision schemes. Zbl 1264.41021
Dyn, Nira; Skopina, Maria
5
2013
Geometric conditions for tangent continuity of interpolatory planar subdivision curves. Zbl 1256.65015
Dyn, Nira; Hormann, Kai
7
2012
Adaptive multiresolution analysis based on anisotropic triangulations. Zbl 1242.65293
Cohen, Albert; Dyn, Nira; Hecht, Frédéric; Mirebeau, Jean-Marie
7
2012
Interpolatory blending net subdivision schemes of Dubuc-Deslauriers type. Zbl 1280.65023
Conti, Costanza; Dyn, Nira; Romani, Lucia
4
2012
Bivariate interpolation based on univariate subdivision schemes. Zbl 1248.41011
Sharon, Nir; Dyn, Nira
2
2012
Generating surfaces by refinement of curves. Zbl 1246.65032
Itai, Uri; Dyn, Nira
1
2012
Construction of generators of quasi-interpolation operators of high approximation orders in spaces of polyharmonic splines. Zbl 1231.65022
Bozzini, Mira; Dyn, Nira; Rossini, Milvia
7
2011
Analysis of subdivision schemes for nets of functions by proximity and controllability. Zbl 1235.65020
Conti, Costanza; Dyn, Nira
5
2011
Convergence and smoothness of nonlinear Lane-Riesenfeld algorithms in the functional setting. Zbl 1217.65035
Dyn, Nira; Goldman, Ron
4
2011
Properties of dual pseudo-splines. Zbl 1191.41003
Dong, Bin; Dyn, Nira; Hormann, Kai
8
2010
Approximation order of interpolatory nonlinear subdivision schemes. Zbl 1204.65019
Dyn, Nira; Grohs, Philipp; Wallner, Johannes
7
2010
Blending based corner cutting subdivision scheme for nets of curves. Zbl 1225.65022
Conti, Costanza; Dyn, Nira
3
2010
Four-point curve subdivision based on iterated chordal and centripetal parameterizations. Zbl 1205.65077
Dyn, Nira; Floater, Michael S.; Hormann, Kai
15
2009
Multipartite secret sharing by bivariate interpolation. Zbl 1159.94373
Tassa, Tamir; Dyn, Nira
11
2009
Univariate subdivision and multi-scale transforms: the nonlinear case. Zbl 1190.65204
Dyn, Nira; Oswald, Peter
7
2009
Piecewise \(L\)-splines of order 4: interpolation and \(L^{2}\) error bounds for splines in tension. Zbl 1181.41010
Ayalon, Ziv; Dyn, Nira; Levin, David
3
2009
Linear and nonlinear subdivision schemes in geometric modeling. Zbl 1179.65025
Dyn, Nira
3
2009
Polynomial reproduction by symmetric subdivision schemes. Zbl 1159.41003
Dyn, Nira; Hormann, Kai; Sabin, Malcolm A.; Shen, Zuowei
43
2008
Approximation of piecewise smooth functions and images by edge-adapted (ENO-EA) nonlinear multiresolution techniques. Zbl 1168.68592
Arandiga, Francesc; Cohen, Albert; Donat, Rosa; Dyn, Nira; Matei, Basarab
16
2008
Meshfree thinning of 3D point clouds. Zbl 1148.65011
Dyn, Nira; Iske, Armin; Wendland, Holger
3
2008
Analysis of univariate nonstationary subdivision schemes with application to Gaussian-based interpolatory schemes. Zbl 1132.41302
Dyn, Nira; Levin, David; Yoon, Jungho
11
2007
Approximations of set-valued functions by metric linear operators. Zbl 1123.26024
Dyn, Nira; Farkhi, Elza; Mokhov, Alona
7
2007
Approximation of univariate set-valued functions – an overview. Zbl 1224.41069
Dyn, N.; Farkhi, E.; Mokhov, A.
3
2007
An efficient algorithm for the computation of the metric average of two intersecting convex polygons, with application to morphing. Zbl 1121.65022
Lipovetsky, Evgeny; Dyn, Nira
2
2007
Image compression by linear splines over adaptive triangulations. Zbl 1172.94312
Demaret, Laurent; Dyn, Nira; Iske, Armin
15
2006
Approximations of set-valued functions based on the metric average. Zbl 1156.26307
Dyn, Nira; Mokhov, Alona
5
2006
Multipartite secret sharing by bivariate interpolation. Zbl 1133.94349
Tassa, Tamir; Dyn, Nira
3
2006
Approximation of set-valued functions with compact images – an overview. Zbl 1114.26025
Dyn, Nira; Farkhi, Elza
2
2006
Linear subdivision schemes for the refinement of geometric objects. Zbl 1100.65016
Dyn, Nira
2
2006
Convergence and \(C^1\) analysis of subdivision schemes on manifolds by proximity. Zbl 1083.65023
Wallner, Johannes; Dyn, Nira
53
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
41
2005
Interpolation and approximation of piecewise smooth functions. Zbl 1092.65004
Arandiga, Francesc; Cohen, Albert; Donat, Rosa; Dyn, Nira
22
2005
Geometrically controlled 4-point interpolatory schemes. Zbl 1065.65036
Marinov, Martin; Dyn, Nira; Levin, David
19
2005
Adaptive thinning for terrain modelling and image compression. Zbl 1066.94504
Demaret, Laurent; Dyn, Nira; Floater, Michael S.; Iske, Armin
6
2005
Three families of nonlinear subdivision schemes. Zbl 1205.65035
Dyn, Nira
5
2005
Blending-based Chaikin type subdivision schemes for nets of curves. Zbl 1080.65524
Conti, Costanza; Dyn, Nira
3
2005
Optimising 3D triangulations: improving the initial triangulation for the butterfly subdivision scheme. Zbl 1065.65024
Alkalai, Nurit; Dyn, Nira
1
2005
Set-valued approximations with Minkowski averages- convergence and convexification rates. Zbl 1074.41011
Dyn, Nira; Farkhi, Elza
9
2004
Robust spherical parameterization of triangular meshes. Zbl 1060.65028
Sheffer, A.; Gotsman, C.; Dyn, N.
6
2004
Robust spherical parameterization of triangular meshes. Zbl 1083.68140
Sheffer, A.; Gotsman, C.; Dyn, N.
2
2004
Quasilinear subdivision schemes with applications to ENO interpolation. Zbl 1046.65071
Cohen, Albert; Dyn, Nira; Matei, Basarab
52
2003
Exponentials reproducing subdivision schemes. Zbl 1095.41001
Dyn, Nira; Levin, David; Luzzatto, Ariel
39
2003
Refining oscillatory signals by non-stationary subdivision schemes. Zbl 1043.94516
Dyn, Nira; Levin, David; Luzzatto, Ariel
2
2003
Face-value subdivision schemes on triangulations by repeated averaging. Zbl 1037.65023
Dyn, Nira; Levin, David; Simoens, Jo
2
2003
Subdivision schemes in geometric modelling. Zbl 1105.65310
Dyn, Nira; Levin, David
165
2002
Analysis of convergence and smoothness by the formalism of Laurent polynomials. Zbl 1004.65028
Dyn, Nira
19
2002
Adaptive thinning for bivariate scattered data. Zbl 1002.65020
Dyn, N.; Floater, M. S.; Iske, A.
11
2002
Interpolatory subdivision schemes. Zbl 1004.65027
Dyn, Nira
10
2002
Spline subdivision schemes for compact sets. A survey. Zbl 1041.42023
Dyn, N.; Farkhi, E.
7
2002
Poly-scale refinability and subdivision. Zbl 1011.42017
Dekel, S.; Dyn, N.
5
2002
Matrix subdivision-analysis by factorization. Zbl 1041.42028
Dyn, Nira; Levin, David
3
2002
The metric average of 1D compact sets. Zbl 1043.65034
Baier, Robert; Dyn, Nira; Farkhi, Elza
2
2002
Optimizing 3D triangulations using discrete curvature analysis. Zbl 0989.65037
Dyn, Nira; Hormann, Kai; Kim, Sun-Jeong; Levin, David
8
2001
Spline subdivision schemes for compact sets with metric averages. Zbl 1112.41301
Dyn, Nira; Farkhi, Elza
7
2001
Univariate adaptive thinning. Zbl 0989.65007
Dyn, Nira; Floater, Michael S.; Iske, Armin
5
2001
Multivariate approximation and applications. Zbl 0963.00017
Dyn, N. (ed.); Leviatan, D. (ed.); Levin, D. (ed.); Pinkus, A. (ed.)
3
2001
Multiresolution schemes of triangles for scalar conservation laws. Zbl 0959.65105
Cohen, Albert; Dyn, Nira; Kaber, Sidi Mahmoud; Postel, Marie
15
2000
Smooth multiwavelet duals of Alpert bases by moment-interpolating refinement. Zbl 0967.65120
Donoho, David L.; Dyn, Nira; Levin, David; Yu, Thomas P. Y.
8
2000
Spline subdivision schemes for convex compact sets. Zbl 0970.65016
Dyn, Nira; Farkhi, Elza
8
2000
Polynomial interpolation to data on flats in \(\mathbb{R}^d\). Zbl 0960.41003
de Boor, Carl; Dyn, Nira; Ron, Amos
3
2000
A construction of biorthogonal functions to B-splines with multiple knots. Zbl 0939.42018
Dyn, N.
1
2000
Analysis of Hermite-interpolatory subdivision schemes. Zbl 0967.42024
Dyn, Nira; Levin, David
30
1999
Variational principles and Sobolev-type estimates for generalized interpolation on a Riemannian manifold. Zbl 0948.41015
Dyn, N.; Narcowich, F. J.; Ward, J. D.
27
1999
Convexity preservation of the four-point interpolatory subdivision scheme. Zbl 0994.41018
Dyn, Nira; Kuijt, Frans; Levin, David; van Damme, Ruud
20
1999
Normals of the butterfly subdivision scheme surfaces and their applications. Zbl 0934.65018
Shenkman, P.; Dyn, N.; Levin, D.
3
1999
A Hermite subdivision scheme for the evaluation of the Powell-Sabin 12-split element. Zbl 0930.65005
Dyn, Nira; Lyche, Tom
7
1998
A framework for interpolation and approximation on Riemannian manifolds. Zbl 1049.41014
Dyn, Nira; Narcowich, Francis J.; Ward, Joseph D.
4
1997
Uniqueness of least-norm generalized monosplines induced by log-concave weight-functions. Zbl 0887.41012
Dyn, Nira
3
1997
Nonstationary subdivision schemes and multiresolution analysis. Zbl 0862.41013
Cohen, Albert; Dyn, Nira
33
1996
Multiquadric \(B\)-splines. Zbl 0864.41012
Beatson, R. K.; Dyn, N.
22
1996
Stability and inter-dependence of matrix subdivision schemes. Zbl 1273.41022
Cohen, Albert; Dyn, Nira; Levin, David
9
1996
The work of John Gregory, rational spline interpolation, subdivision algorithms and \(C^ 2\) polygonal patches. Zbl 0871.01013
Dyn, Nira
1
1996
Analysis of asymptotically equivalent binary subdivision schemes. Zbl 0836.65012
Dyn, Nira; Levin, David
57
1995
Generalized refinement equations and subdivision processes. Zbl 0823.45001
Derfel, G.; Dyn, N.; Levin, D.
40
1995
On quasi-interpolation by radial basis functions with scattered centres. Zbl 0824.41010
Buhmann, M. D.; Dyn, N.; Levin, D.
29
1995
Analysis of Hermite-type subdivision schemes. Zbl 0927.65034
Dyn, Nira; Levin, David
16
1995
Radial basis function approximation: From gridded centres to scattered centres. Zbl 0827.41007
Dyn, N.; Ron, A.
16
1995
Multiresolution analysis by infinitely differentiable compactly supported functions. Zbl 0811.42011
Dyn, N.; Ron, A.
9
1995
Piecewise uniform subdivision schemes. Zbl 0835.65163
Dyn, N.; Gregory, J. A.; Levin, D.
5
1995
The subdivision experience. Zbl 0815.65010
Dyn, N.; Levin, D.
6
1994
Spectral convergence of multiquadratic interpolation. Zbl 0791.41002
Buhmann, Martin; Dyn, Nira
36
1993
Transforming triangulations in polygonal domains. Zbl 0806.65152
Dyn, Nira; Goren, Ifat; Rippa, Shmuel
6
1993
Data-dependent triangulations for scattered data interpolation and finite element approximation. Zbl 0776.65007
Dyn, Nira; Rippa, Shmuel
4
1993
Subdivision schemes in computer-aided geometric design. Zbl 0760.65012
Dyn, N.
118
1992
Interpolatory convexity-preserving subdivision schemes for curves and surfaces. Zbl 0755.65014
Dyn, N.; Levin, D.; Liu, D.
27
1992
On multivariate approximation by integer translates of a basis function. Zbl 0769.41008
Dyn, N.; Jackson, I. R. H.; Levin, D.; Ron, A.
24
1992
Boundary correction for piecewise linear interpolation defined over data- dependent triangulations. Zbl 0803.65010
Dyn, Nira; Levin, David; Rippa, Samuel
3
1992
...and 48 more Documents
all top 5

Cited by 1,331 Authors

76 Dyn, Nira
39 Conti, Costanza
36 Romani, Lucia
30 Amat, Sergio P.
27 Mustafa, Ghulam
22 Yoon, Jungho
21 Liandrat, Jacques
20 Ron, Amos
20 Siddiqi, Shahid Saeed
20 Wu, Zongmin
19 Mazure, Marie-Laurence
18 Charina, Maria
18 Trillo, Juan Carlos
15 Rehan, Kashif
14 Levin, David N.
14 Sun, Xingping
13 Manni, Carla
13 Shi, Yingguang
13 Ward, Joseph Dinneen
12 Chui, Charles Kam-tai
12 Donat, Rosa
12 Floater, Michael S.
12 Han, Bin
12 Jiang, Qingtang
12 Zheng, Hongchan
11 Gao, Wenwu
11 Merrien, Jean-Louis
11 Protasov, Vladimir Yu.
10 Beccari, Carolina Vittoria
10 Deng, Chongyang
10 Iske, Armin
10 Sabin, Malcolm A.
10 Yu, Thomas Pok-Yin
9 Aràndiga, Francesc
9 Casciola, Giulio
9 Cohen, Albert
9 Grohs, Philipp
9 Hormann, Kai
9 Micchelli, Charles A.
9 Narcowich, Francis J.
8 Dubuc, Serge
8 Farkhi, Elza M.
8 Jetter, Kurt
8 Jia, Rong-Qing
8 Kounchev, Ognyan Ivanov
8 Lee, Yeon Ju
8 Levesley, Jeremy
8 Ma, Changfeng
8 Morawiec, Janusz
8 Render, Hermann
8 Sauer, Tomas
8 Sun, Qiyu
8 Weinmann, Andreas
7 Buhmann, Martin Dietrich
7 Cotronei, Mariantonia
7 Dadourian, Karine
7 de Boor, Carl
7 Esmaeilbeigi, Mohsen
7 Goodman, Timothy N. T.
7 Ismailov, Vugar E.
7 Kapica, Rafał
7 Lyche, Tom
7 Reif, Ulrich
7 Sezer, Mehmet
7 Speleers, Hendrik
7 Tan, Jieqing
7 Wallner, Johannes
7 Zhang, Li
6 Baccou, Jean
6 Dodgson, Neil A.
6 Fornberg, Bengt
6 Goldman, Ron N.
6 Hameed, Rabia
6 Jeong, Byeongseon
6 Johnson, Michael James
6 Li, Song
6 Ma, Weiyin
6 Matei, Basarab
6 Moncayo, María
6 Pitolli, Francesca
6 Plonka, Gerlind
6 Pottmann, Helmut
6 Qu, Ruibin
6 Rippa, Shmuel
6 Rossini, Milvia
6 Ruiz, Juan P.
6 Schaback, Robert
6 Schumaker, Larry L.
6 Shen, Zuowei
6 Stöckler, Joachim
6 Xu, Guoliang
6 Yáñez, Dionisio F.
5 Ashraf, Pakeeza
5 Barry, Phillip J.
5 Bozzini, Mira
5 Carnicer, Jésus Miguel
5 Cheney, Elliott Ward jun.
5 Deng, Jiansong
5 Duchamp, Thomas E.
5 Huang, Na
...and 1,231 more Authors
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Cited in 204 Serials

142 Computer Aided Geometric Design
112 Journal of Computational and Applied Mathematics
96 Journal of Approximation Theory
80 Applied Mathematics and Computation
55 Advances in Computational Mathematics
45 Numerical Algorithms
40 Computers & Mathematics with Applications
38 Applied and Computational Harmonic Analysis
36 Constructive Approximation
30 Mathematics of Computation
23 Applied Numerical Mathematics
20 Numerische Mathematik
18 Journal of Mathematical Analysis and Applications
17 Linear Algebra and its Applications
15 International Journal of Computer Mathematics
14 Journal of Computational Physics
14 Foundations of Computational Mathematics
13 Engineering Analysis with Boundary Elements
12 The Journal of Fourier Analysis and Applications
11 BIT
10 Mathematics and Computers in Simulation
8 Computer Methods in Applied Mechanics and Engineering
8 Numerical Functional Analysis and Optimization
8 Journal of Scientific Computing
8 International Journal of Wavelets, Multiresolution and Information Processing
7 Computing
7 International Journal for Numerical Methods in Engineering
7 Proceedings of the American Mathematical Society
7 Mathematical Problems in Engineering
6 Transactions of the American Mathematical Society
6 Applied Mathematics Letters
6 Applied Mathematical Modelling
6 SIAM Journal on Scientific Computing
6 S\(\vec{\text{e}}\)MA Journal
5 RAIRO. Modélisation Mathématique et Analyse Numérique
5 Acta Mathematicae Applicatae Sinica. English Series
5 Mathematical and Computer Modelling
5 Computational Geometry
5 Applied Mathematics. Series B (English Edition)
5 Abstract and Applied Analysis
4 Computers and Fluids
4 Journal of the Franklin Institute
4 Calcolo
4 SIAM Journal on Numerical Analysis
4 Discrete & Computational Geometry
4 Computational Statistics and Data Analysis
4 Journal of Mathematical Imaging and Vision
4 St. Petersburg Mathematical Journal
4 Journal of Inequalities and Applications
4 Journal of Zhejiang University. Science A
3 Applicable Analysis
3 Biological Cybernetics
3 Israel Journal of Mathematics
3 Acta Applicandae Mathematicae
3 Physica D
3 Designs, Codes and Cryptography
3 Aequationes Mathematicae
3 Numerical Linear Algebra with Applications
3 Acta Mathematica Sinica. English Series
3 Engineering Computations
3 Journal of Applied Mathematics
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Journal of Applied Mathematics and Computing
3 Journal of Fixed Point Theory and Applications
3 SIAM Journal on Imaging Sciences
3 Science China. Mathematics
3 International Journal of Applied and Computational Mathematics
2 Rocky Mountain Journal of Mathematics
2 Ukrainian Mathematical Journal
2 Chaos, Solitons and Fractals
2 Advances in Mathematics
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2 Integral Equations and Operator Theory
2 Mathematische Nachrichten
2 Results in Mathematics
2 Theoretical Computer Science
2 Advances in Applied Mathematics
2 Zeitschrift für Analysis und ihre Anwendungen
2 SIAM Journal on Algebraic and Discrete Methods
2 Journal of Complexity
2 Numerical Methods for Partial Differential Equations
2 Journal of Cryptology
2 Computational and Applied Mathematics
2 Discrete and Continuous Dynamical Systems
2 International Journal of Shape Modeling
2 Taiwanese Journal of Mathematics
2 LMS Journal of Computation and Mathematics
2 Lobachevskii Journal of Mathematics
2 Journal of Mathematics and Music
2 Set-Valued and Variational Analysis
2 Axioms
2 Communications in Mathematics and Statistics
2 East Asian Journal on Applied Mathematics
1 Bulletin of the Australian Mathematical Society
1 Computer Physics Communications
1 Discrete Mathematics
1 International Journal of Heat and Mass Transfer
1 Information Processing Letters
1 Journal d’Analyse Mathématique
1 Journal of Engineering Mathematics
...and 104 more Serials
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Cited in 53 Fields

832 Numerical analysis (65-XX)
445 Approximations and expansions (41-XX)
156 Harmonic analysis on Euclidean spaces (42-XX)
114 Computer science (68-XX)
59 Information and communication theory, circuits (94-XX)
55 Partial differential equations (35-XX)
33 Linear and multilinear algebra; matrix theory (15-XX)
29 Real functions (26-XX)
27 Statistics (62-XX)
24 Functional analysis (46-XX)
22 Differential geometry (53-XX)
21 Combinatorics (05-XX)
20 Operations research, mathematical programming (90-XX)
19 Ordinary differential equations (34-XX)
19 Difference and functional equations (39-XX)
19 Operator theory (47-XX)
19 Convex and discrete geometry (52-XX)
19 Fluid mechanics (76-XX)
17 Measure and integration (28-XX)
15 Mechanics of deformable solids (74-XX)
13 Calculus of variations and optimal control; optimization (49-XX)
12 Commutative algebra (13-XX)
12 Probability theory and stochastic processes (60-XX)
9 Number theory (11-XX)
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8 Global analysis, analysis on manifolds (58-XX)
6 Algebraic geometry (14-XX)
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6 General topology (54-XX)
6 Classical thermodynamics, heat transfer (80-XX)
6 Systems theory; control (93-XX)
5 Integral transforms, operational calculus (44-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Topological groups, Lie groups (22-XX)
3 History and biography (01-XX)
3 Associative rings and algebras (16-XX)
2 General and overarching topics; collections (00-XX)
2 Group theory and generalizations (20-XX)
2 Abstract harmonic analysis (43-XX)
1 \(K\)-theory (19-XX)
1 Functions of a complex variable (30-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Sequences, series, summability (40-XX)
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1 Quantum theory (81-XX)
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1 Relativity and gravitational theory (83-XX)
1 Mathematics education (97-XX)

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