Edit Profile (opens in new tab) Dyn, Nira Compute Distance To: Compute Author ID: dyn.nira Published as: Dyn, Nira; Dyn, N.; Richter-Dyn, N.; Richter-Dyn, Nira more...less Further Spellings: נירה דין Homepage: http://www.math.tau.ac.il/~niradyn/ External Links: MGP · Wikidata · ResearchGate · dblp · GND · IdRef Documents Indexed: 188 Publications since 1971, including 1 Book 1 Contribution as Editor Co-Authors: 103 Co-Authors with 154 Joint Publications 2,103 Co-Co-Authors all top 5 Co-Authors 22 single-authored 14 Farkhi, Elza M. 9 Ron, Amos 8 Conti, Costanza 8 Hormann, Kai 8 Kimchi, Esther 8 Mokhov, Alona 7 Cohen, Albert 7 Micchelli, Charles A. 7 Rippa, Shmuel 6 Braess, Dietrich 6 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 Goldman, Ronald N. 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 Gotsman, Craig 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 Dong, Bin 1 Donoho, David Leigh 1 Edelman, Alan Stuart 1 Ferguson, Warren E. jun. 1 Goel, Narendra S. 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 Light, William A. 1 Lorentz, Georg Gunther 1 Lyche, Tom 1 Mancinelli, Claudio 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. 1 Shekhtman, Boris 1 Shen, Zuowei 1 Shenkman, P. 1 Simoens, Jo 1 Skopina, Maria A. 1 van Damme, Ruud 1 Wahba, Grace 1 Wendland, Holger ...and 3 more Co-Authors all top 5 Serials 24 Journal of Approximation Theory 16 Computer Aided Geometric Design 10 Journal of Computational and Applied Mathematics 9 Constructive Approximation 8 Applied and Computational Harmonic Analysis 7 SIAM Journal on Numerical Analysis 4 Mathematics of Computation 4 Foundations of Computational Mathematics 3 Biological Cybernetics 3 Journal of Mathematical Analysis and Applications 3 SIAM Journal on Mathematical Analysis 2 IMA Journal of Numerical Analysis 2 Journal d’Analyse Mathématique 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 Theoretical Population Biology 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 all top 5 Fields 103 Approximations and expansions (41-XX) 95 Numerical analysis (65-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 11 Real functions (26-XX) 10 Computer science (68-XX) 10 Information and communication theory, circuits (94-XX) 7 General topology (54-XX) 6 Biology and other natural sciences (92-XX) 5 Measure and integration (28-XX) 4 Partial differential equations (35-XX) 3 Operator theory (47-XX) 3 Geometry (51-XX) 3 Differential geometry (53-XX) 3 Systems theory; control (93-XX) 2 Difference and functional equations (39-XX) 2 Integral equations (45-XX) 2 Convex and discrete geometry (52-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Statistics (62-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 164 Publications have been cited 2,441 times in 1,349 Documents Cited by ▼ Year ▼ A 4-point interpolatory subdivision scheme for curve design. Zbl 0638.65009Dyn, Nira; Levin, David; Gregory, John A. 209 1987 Subdivision schemes in geometric modelling. Zbl 1105.65310Dyn, Nira; Levin, David 175 2002 Subdivision schemes in computer-aided geometric design. Zbl 0760.65012Dyn, N. 128 1992 A butterfly subdivision scheme for surface interpolation with tension control. Zbl 0726.68076Dyn, Nira; Levin, David; Gregory, John A. 100 1990 Analysis of asymptotically equivalent binary subdivision schemes. Zbl 0836.65012Dyn, Nira; Levin, David 67 1995 Analysis of uniform binary subdivision schemes for curve design. Zbl 0724.41011Dyn, Nira; Gregory, John A.; Levin, David 61 1991 Quasilinear subdivision schemes with applications to ENO interpolation. Zbl 1046.65071Cohen, Albert; Dyn, Nira; Matei, Basarab 58 2003 Convergence and \(C^1\) analysis of subdivision schemes on manifolds by proximity. Zbl 1083.65023Wallner, Johannes; Dyn, Nira 57 2005 Polynomial reproduction by symmetric subdivision schemes. Zbl 1159.41003Dyn, Nira; Hormann, Kai; Sabin, Malcolm A.; Shen, Zuowei 48 2008 Numerical procedures for surface fitting of scattered data by radial functions. Zbl 0631.65008Dyn, Nira; Levin, David; Rippa, Samuel 46 1986 A \(C^2\) four-point subdivision scheme with fourth order accuracy and its extensions. Zbl 1080.65526Dyn, Nira; Floater, Michael S.; Hormann, Kai 45 2005 Exponentials reproducing subdivision schemes. Zbl 1095.41001Dyn, Nira; Levin, David; Luzzatto, Ariel 44 2003 Interpolation and approximation by radial and related functions. Zbl 0705.41006Dyn, N. 42 1989 Generalized refinement equations and subdivision processes. Zbl 0823.45001Derfel, G.; Dyn, N.; Levin, D. 41 1995 Data dependent triangulations for piecewise linear interpolation. Zbl 0699.65004Dyn, Nira; Levin, David; Rippa, Samuel 40 1990 Spectral convergence of multiquadratic interpolation. Zbl 0791.41002Buhmann, Martin; Dyn, Nira 39 1993 Piecewise polynomial spaces and geometric continuity of curves. Zbl 0638.65010Dyn, Nira; Micchelli, Charles A. 36 1988 Nonstationary subdivision schemes and multiresolution analysis. Zbl 0862.41013Cohen, Albert; Dyn, Nira 34 1996 Analysis of Hermite-interpolatory subdivision schemes. Zbl 0967.42024Dyn, Nira; Levin, David 33 1999 The numerical solution of equality-constrained quadratic programming problems. Zbl 0527.49030Dyn, Nira; Ferguson, Warren E. jun. 32 1983 On quasi-interpolation by radial basis functions with scattered centres. Zbl 0824.41010Buhmann, M. D.; Dyn, N.; Levin, D. 30 1995 Variational principles and Sobolev-type estimates for generalized interpolation on a Riemannian manifold. Zbl 0948.41015Dyn, N.; Narcowich, F. J.; Ward, J. D. 30 1999 Interpolatory convexity-preserving subdivision schemes for curves and surfaces. Zbl 0755.65014Dyn, N.; Levin, D.; Liu, D. 28 1992 Local approximation by certain spaces of exponential polynomials, approximation order of exponential box splines, and related interpolation problems. Zbl 0699.41012Dyn, N.; Ron, A. 28 1990 Convexity preservation of the four-point interpolatory subdivision scheme. Zbl 0994.41018Dyn, Nira; Kuijt, Frans; Levin, David; van Damme, Ruud 27 1999 Generalized Gaussian quadrature formulas. Zbl 0607.41009Bojanov, Borislav D.; Braess, Dietrich; Dyn, Nira 27 1986 On multivariate approximation by integer translates of a basis function. Zbl 0769.41008Dyn, N.; Jackson, I. R. H.; Levin, D.; Ron, A. 26 1992 Interpolation and approximation of piecewise smooth functions. Zbl 1092.65004Arandiga, Francesc; Cohen, Albert; Donat, Rosa; Dyn, Nira 24 2005 Multiquadric \(B\)-splines. Zbl 0864.41012Beatson, R. K.; Dyn, N. 24 1996 Approximation of piecewise smooth functions and images by edge-adapted (ENO-EA) nonlinear multiresolution techniques. Zbl 1168.68592Arandiga, Francesc; Cohen, Albert; Donat, Rosa; Dyn, Nira; Matei, Basarab 22 2008 Geometrically controlled 4-point interpolatory schemes. Zbl 1065.65036Marinov, Martin; Dyn, Nira; Levin, David 21 2005 Convergence of univariate non-stationary subdivision schemes via asymptotic similarity. Zbl 1417.65104Conti, Constanza; Dyn, N.; Manni, C.; Mazure, Marie-Laurence 20 2015 Algorithms for the construction of data dependent triangulations. Zbl 0752.41002Dyn, N.; Levin, D.; Rippa, S. 19 1990 Analysis of convergence and smoothness by the formalism of Laurent polynomials. Zbl 1004.65028Dyn, Nira 19 2002 Analysis of Hermite-type subdivision schemes. Zbl 0927.65034Dyn, Nira; Levin, David 18 1995 Interpolation by piecewise-linear radial basis functions. I. Zbl 0678.41001Dyn, Nira; Light, W. A.; Cheney, E. W. 18 1989 Image compression by linear splines over adaptive triangulations. Zbl 1172.94312Demaret, Laurent; Dyn, Nira; Iske, Armin 17 2006 Recurrence relations for Tchebycheffian B-splines. Zbl 0675.41021Dyn, Nira; Ron, Amos 17 1988 Interpolating subdivision schemes for the generation of curves and surfaces. Zbl 0707.41002Dyn, N.; Levin, D. 17 1990 Radial basis function approximation: From gridded centres to scattered centres. Zbl 0827.41007Dyn, N.; Ron, A. 16 1995 Multiresolution schemes of triangles for scalar conservation laws. Zbl 0959.65105Cohen, Albert; Dyn, Nira; Kaber, Sidi Mahmoud; Postel, Marie 16 2000 Minimal interpolation and approximation in Hilbert spaces. Zbl 0229.65016Richter-Dyn, Nira 16 1971 Iterative solution of systems originating from integral equations and surface interpolation. Zbl 0517.65096Dyn, Nira; Levin, David 16 1983 Four-point curve subdivision based on iterated chordal and centripetal parameterizations. Zbl 1205.65077Dyn, Nira; Floater, Michael S.; Hormann, Kai 16 2009 Using parameters to increase smoothness of curves and surfaces generated by subdivision. Zbl 0711.65007Dyn, Nira; Levin, David; Micchelli, Charles A. 15 1990 Multipartite secret sharing by bivariate interpolation. Zbl 1159.94373Tassa, Tamir; Dyn, Nira 15 2009 Analysis of univariate nonstationary subdivision schemes with application to Gaussian-based interpolatory schemes. Zbl 1132.41302Dyn, Nira; Levin, David; Yoon, Jungho 14 2007 Regularity of generalized Daubechies wavelets reproducing exponential polynomials with real-valued parameters. Zbl 1294.42007Dyn, Nira; Kounchev, Ognyan; Levin, David; Render, Hermann 13 2014 Properties of minimal integration rules. II. Zbl 0229.65017Richter-Dyn, Nira 13 1971 Multiresolution analysis by infinitely differentiable compactly supported functions. Zbl 0811.42011Dyn, N.; Ron, A. 11 1995 Adaptive thinning for bivariate scattered data. Zbl 1002.65020Dyn, N.; Floater, M. S.; Iske, A. 11 2002 Interpolatory subdivision schemes. Zbl 1004.65027Dyn, Nira 11 2002 On the extinction of a colonizing species. Zbl 0244.92006Richter-Dyn, Nira; Goel, Narendra S. 11 1972 Properties of dual pseudo-splines. Zbl 1191.41003Dong, Bin; Dyn, Nira; Hormann, Kai 11 2010 Restricted range approximation of k-convex functions in monotone norms. Zbl 0391.41017Kimchi, E.; Richter-Dyn, N. 10 1978 On locally supported basis functions for the representation of geometrically continuous curves. Zbl 0633.41005Dyn, Nira; Edelman, Alan; Micchelli, Charles A. 10 1987 On two polynomial spaces associated with a box spline. Zbl 0678.41009de Boor, Carl; Dyn, Nira; Ron, Amos 10 1991 Identities for piecewise polynomial spaces determined by connection matrices. Zbl 0769.41007Barry, Phillip J.; Dyn, Nira; Goldman, Ronald N.; Micchelli, Charles A. 10 1991 Univariate subdivision and multi-scale transforms: the nonlinear case. Zbl 1190.65204Dyn, Nira; Oswald, Peter 10 2009 Set-valued approximations with Minkowski averages- convergence and convexification rates. Zbl 1074.41011Dyn, Nira; Farkhi, Elza 9 2004 Stability and inter-dependence of matrix subdivision schemes. Zbl 1273.41022Cohen, Albert; Dyn, Nira; Levin, David 9 1996 On the convergence rates of subdivision algorithms for box spline surfaces. Zbl 0629.41008Dahmen, Wolfgang; Dyn, Nira; Levin, David 9 1985 Positive powers of certain conditionally negative definite matrices. Zbl 0602.15018Dyn, Nira; Goodman, Timothy N. T.; Micchelli, Charles A. 9 1986 On the estimation of functions of several variables from aggregated data. Zbl 0488.65079Dyn, Nira; Wahba, Grace 9 1982 Geometric conditions for tangent continuity of interpolatory planar subdivision curves. Zbl 1256.65015Dyn, Nira; Hormann, Kai 9 2012 Smooth multiwavelet duals of Alpert bases by moment-interpolating refinement. Zbl 0967.65120Donoho, David L.; Dyn, Nira; Levin, David; Yu, Thomas P. Y. 8 2000 Construction of generators of quasi-interpolation operators of high approximation orders in spaces of polyharmonic splines. Zbl 1231.65022Bozzini, Mira; Dyn, Nira; Rossini, Milvia 8 2011 A Hermite subdivision scheme for the evaluation of the Powell-Sabin 12-split element. Zbl 0930.65005Dyn, Nira; Lyche, Tom 8 1998 A new method for the analysis of univariate nonuniform subdivision schemes. Zbl 1308.65020Dyn, Nira; Levin, David; Yoon, Jungho 8 2014 On the uniqueness of monosplines and perfect splines of least L//1- and L//2-norm. Zbl 0512.41021Braess, Dietrich; Dyn, Nira 8 1982 Spline subdivision schemes for convex compact sets. Zbl 0970.65016Dyn, Nira; Farkhi, Elza 8 2000 Approximations of set-valued functions by metric linear operators. Zbl 1123.26024Dyn, Nira; Farkhi, Elza; Mokhov, Alona 7 2007 Spline subdivision schemes for compact sets with metric averages. Zbl 1112.41301Dyn, Nira; Farkhi, Elza 7 2001 A necessary condition for best approximation in monotone and sign- monotone norms. Zbl 0408.41014Kimchi, E.; Richter-Dyn, N. 7 1979 Optimizing 3D triangulations using discrete curvature analysis. Zbl 0989.65037Dyn, Nira; Hormann, Kai; Kim, Sun-Jeong; Levin, David 7 2001 Adaptive multiresolution analysis based on anisotropic triangulations. Zbl 1242.65293Cohen, Albert; Dyn, Nira; Hecht, Frédéric; Mirebeau, Jean-Marie 7 2012 Spline subdivision schemes for compact sets. A survey. Zbl 1041.42023Dyn, N.; Farkhi, E. 7 2002 Continuity of the Birkhoff interpolation. Zbl 0503.41004Dyn, N.; Lorentz, G. G.; Riemenschneider, S. D. 7 1982 Approximation order of interpolatory nonlinear subdivision schemes. Zbl 1204.65019Dyn, Nira; Grohs, Philipp; Wallner, Johannes 7 2010 Properties of best approximation with interpolatory and restricted range side conditions. Zbl 0309.41022Kimchi, E.; Richter-Dyn, N. 7 1975 Transforming triangulations in polygonal domains. Zbl 0806.65152Dyn, Nira; Goren, Ifat; Rippa, Shmuel 6 1993 The subdivision experience. Zbl 0815.65010Dyn, N.; Levin, D. 6 1994 Robust spherical parameterization of triangular meshes. Zbl 1060.65028Sheffer, A.; Gotsman, C.; Dyn, N. 6 2004 Error estimates for multiquadric interpolation. Zbl 0734.41003Buhmann, M. D.; Dyn, N. 6 1991 Approximation of set-valued functions. Adaptation of classical approximation operators. Zbl 1321.41034Dyn, Nira; Farkhi, Elza; Mokhov, Alona 6 2014 On the existence of Hermite-Birkhoff quadrature formulas of Gaussian type. Zbl 0509.41011Dyn, Nira 6 1981 Best uniform approximation with Hermite-Birkhoff interpolatory side conditions. Zbl 0309.41021Kimchi, E.; Richter-Dyn, N. 6 1975 A global approach to the refinement of manifold data. Zbl 1351.65013Dyn, Nira; Sharon, Nir 6 2017 Decompositions of trigonometric polynomials with applications to multivariate subdivision schemes. Zbl 1264.41021Dyn, Nira; Skopina, Maria 6 2013 Subdivision schemes of sets and the approximation of set-valued functions in the symmetric difference metric. Zbl 1282.41013Kels, Shay; Dyn, Nira 6 2013 Identification of MGB cells by Volterra kernels. I. Prediction of responses to species specific vocalizations. Zbl 0561.92009Yeshurun, Y.; Wollberg, Z.; Dyn, N.; Allon, N. 5 1985 Adaptive thinning for terrain modelling and image compression. Zbl 1066.94504Demaret, Laurent; Dyn, Nira; Floater, Michael S.; Iske, Armin 5 2005 Piecewise uniform subdivision schemes. Zbl 0835.65163Dyn, N.; Gregory, J. A.; Levin, D. 5 1995 Convergence and smoothness of nonlinear Lane-Riesenfeld algorithms in the functional setting. Zbl 1217.65035Dyn, Nira; Goldman, Ron 5 2011 Approximations of set-valued functions based on the metric average. Zbl 1156.26307Dyn, Nira; Mokhov, Alona 5 2006 Univariate adaptive thinning. Zbl 0989.65007Dyn, Nira; Floater, Michael S.; Iske, Armin 5 2001 Analysis of subdivision schemes for nets of functions by proximity and controllability. Zbl 1235.65020Conti, Costanza; Dyn, Nira 5 2011 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 0529.41014Dyn, Nira 5 1983 Poly-scale refinability and subdivision. Zbl 1011.42017Dekel, S.; Dyn, N. 5 2002 Identification of MGB cells by Volterra kernels. II. Towards a functional classification of cells. Zbl 0609.92009Yeshurun, Y.; Wollberg, Z.; Dyn, N. 5 1987 Non-stationary subdivision schemes: state of the art and perspectives. Zbl 1477.65027Conti, Costanza; Dyn, Nira 1 2021 Attractors of trees of maps and of sequences of maps between spaces with applications to subdivision. Zbl 1489.37021Dyn, Nira; Levin, David; Massopust, Peter 2 2020 Convergence analysis of corner cutting algorithms refining nets of functions. Zbl 07318066Conti, Costanza; Dyn, Nira; Romani, Lucia 1 2020 Approximation of 3D objects by piecewise linear geometric interpolants of their 1D cross-sections. Zbl 1434.94009Dyn, Nira; Farkhi, Elza; Keinan, Shirley 1 2020 Increasing the smoothness of vector and Hermite subdivision schemes. Zbl 1464.65019Moosmüller, Caroline; Dyn, Nira 4 2019 Non-stationary versions of fixed-point theory, with applications to fractals and subdivision. Zbl 1412.28007Levin, David; Dyn, Nira; Puthan Veedu, Viswanathan 3 2019 Metric approximation of set-valued functions of bounded variation. Zbl 1405.26029Berdysheva, Elena E.; Dyn, Nira; Farkhi, Elza; Mokhov, Alona 1 2019 \(C^{1}\) analysis of some 2D subdivision schemes refining point-normal pairs with the circle average. Zbl 07038596Lipovetsky, Evgeny; Dyn, Nira 1 2019 The metric integral of set-valued functions. Zbl 1405.26030Dyn, Nira; Farkhi, Elza; Mokhov, Alona 1 2018 Convergence and smoothness of tensor-product of two non-uniform linear subdivision schemes. Zbl 07038573Conti, Costanza; Dyn, Nira 1 2018 A global approach to the refinement of manifold data. Zbl 1351.65013Dyn, Nira; Sharon, Nir 6 2017 Manifold-valued subdivision schemes based on geodesic inductive averaging. Zbl 1355.65032Dyn, Nira; Sharon, Nir 4 2017 A weighted binary average of point-normal pairs with application to subdivision schemes. Zbl 1366.65029Lipovetsky, Evgeny; Dyn, Nira 2 2016 Convergence of univariate non-stationary subdivision schemes via asymptotic similarity. Zbl 1417.65104Conti, Constanza; Dyn, N.; Manni, C.; Mazure, Marie-Laurence 20 2015 Univariate subdivision schemes for noisy data with geometric applications. Zbl 1417.65079Dyn, Nira; Heard, Allison; Hormann, Kai; Sharon, Nir 3 2015 Regularity of generalized Daubechies wavelets reproducing exponential polynomials with real-valued parameters. Zbl 1294.42007Dyn, Nira; Kounchev, Ognyan; Levin, David; Render, Hermann 13 2014 A new method for the analysis of univariate nonuniform subdivision schemes. Zbl 1308.65020Dyn, Nira; Levin, David; Yoon, Jungho 8 2014 Approximation of set-valued functions. Adaptation of classical approximation operators. Zbl 1321.41034Dyn, Nira; Farkhi, Elza; Mokhov, Alona 6 2014 Multivariate polynomial interpolation on lower sets. Zbl 1480.41001Dyn, Nira; Floater, Michael S. 1 2014 Decompositions of trigonometric polynomials with applications to multivariate subdivision schemes. Zbl 1264.41021Dyn, Nira; Skopina, Maria 6 2013 Subdivision schemes of sets and the approximation of set-valued functions in the symmetric difference metric. Zbl 1282.41013Kels, Shay; Dyn, Nira 6 2013 Geometric conditions for tangent continuity of interpolatory planar subdivision curves. Zbl 1256.65015Dyn, Nira; Hormann, Kai 9 2012 Adaptive multiresolution analysis based on anisotropic triangulations. Zbl 1242.65293Cohen, Albert; Dyn, Nira; Hecht, Frédéric; Mirebeau, Jean-Marie 7 2012 Interpolatory blending net subdivision schemes of Dubuc-Deslauriers type. Zbl 1280.65023Conti, Costanza; Dyn, Nira; Romani, Lucia 4 2012 Bivariate interpolation based on univariate subdivision schemes. Zbl 1248.41011Sharon, Nir; Dyn, Nira 2 2012 Generating surfaces by refinement of curves. Zbl 1246.65032Itai, Uri; Dyn, Nira 1 2012 Construction of generators of quasi-interpolation operators of high approximation orders in spaces of polyharmonic splines. Zbl 1231.65022Bozzini, Mira; Dyn, Nira; Rossini, Milvia 8 2011 Convergence and smoothness of nonlinear Lane-Riesenfeld algorithms in the functional setting. Zbl 1217.65035Dyn, Nira; Goldman, Ron 5 2011 Analysis of subdivision schemes for nets of functions by proximity and controllability. Zbl 1235.65020Conti, Costanza; Dyn, Nira 5 2011 Properties of dual pseudo-splines. Zbl 1191.41003Dong, Bin; Dyn, Nira; Hormann, Kai 11 2010 Approximation order of interpolatory nonlinear subdivision schemes. Zbl 1204.65019Dyn, Nira; Grohs, Philipp; Wallner, Johannes 7 2010 Blending based corner cutting subdivision scheme for nets of curves. Zbl 1225.65022Conti, Costanza; Dyn, Nira 3 2010 Four-point curve subdivision based on iterated chordal and centripetal parameterizations. Zbl 1205.65077Dyn, Nira; Floater, Michael S.; Hormann, Kai 16 2009 Multipartite secret sharing by bivariate interpolation. Zbl 1159.94373Tassa, Tamir; Dyn, Nira 15 2009 Univariate subdivision and multi-scale transforms: the nonlinear case. Zbl 1190.65204Dyn, Nira; Oswald, Peter 10 2009 Piecewise \(L\)-splines of order 4: interpolation and \(L^{2}\) error bounds for splines in tension. Zbl 1181.41010Ayalon, Ziv; Dyn, Nira; Levin, David 4 2009 Linear and nonlinear subdivision schemes in geometric modeling. Zbl 1179.65025Dyn, Nira 3 2009 Polynomial reproduction by symmetric subdivision schemes. Zbl 1159.41003Dyn, Nira; Hormann, Kai; Sabin, Malcolm A.; Shen, Zuowei 48 2008 Approximation of piecewise smooth functions and images by edge-adapted (ENO-EA) nonlinear multiresolution techniques. Zbl 1168.68592Arandiga, Francesc; Cohen, Albert; Donat, Rosa; Dyn, Nira; Matei, Basarab 22 2008 Meshfree thinning of 3D point clouds. Zbl 1148.65011Dyn, Nira; Iske, Armin; Wendland, Holger 3 2008 Analysis of univariate nonstationary subdivision schemes with application to Gaussian-based interpolatory schemes. Zbl 1132.41302Dyn, Nira; Levin, David; Yoon, Jungho 14 2007 Approximations of set-valued functions by metric linear operators. Zbl 1123.26024Dyn, Nira; Farkhi, Elza; Mokhov, Alona 7 2007 Approximation of univariate set-valued functions – an overview. Zbl 1224.41069Dyn, 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 1121.65022Lipovetsky, Evgeny; Dyn, Nira 2 2007 Image compression by linear splines over adaptive triangulations. Zbl 1172.94312Demaret, Laurent; Dyn, Nira; Iske, Armin 17 2006 Approximations of set-valued functions based on the metric average. Zbl 1156.26307Dyn, Nira; Mokhov, Alona 5 2006 Approximation of set-valued functions with compact images – an overview. Zbl 1114.26025Dyn, Nira; Farkhi, Elza 3 2006 Multipartite secret sharing by bivariate interpolation. Zbl 1133.94349Tassa, Tamir; Dyn, Nira 3 2006 Linear subdivision schemes for the refinement of geometric objects. Zbl 1100.65016Dyn, Nira 2 2006 Convergence and \(C^1\) analysis of subdivision schemes on manifolds by proximity. Zbl 1083.65023Wallner, Johannes; Dyn, Nira 57 2005 A \(C^2\) four-point subdivision scheme with fourth order accuracy and its extensions. Zbl 1080.65526Dyn, Nira; Floater, Michael S.; Hormann, Kai 45 2005 Interpolation and approximation of piecewise smooth functions. Zbl 1092.65004Arandiga, Francesc; Cohen, Albert; Donat, Rosa; Dyn, Nira 24 2005 Geometrically controlled 4-point interpolatory schemes. Zbl 1065.65036Marinov, Martin; Dyn, Nira; Levin, David 21 2005 Adaptive thinning for terrain modelling and image compression. Zbl 1066.94504Demaret, Laurent; Dyn, Nira; Floater, Michael S.; Iske, Armin 5 2005 Three families of nonlinear subdivision schemes. Zbl 1205.65035Dyn, Nira 5 2005 Blending-based Chaikin type subdivision schemes for nets of curves. Zbl 1080.65524Conti, Costanza; Dyn, Nira 3 2005 Optimising 3D triangulations: improving the initial triangulation for the butterfly subdivision scheme. Zbl 1065.65024Alkalai, Nurit; Dyn, Nira 1 2005 Set-valued approximations with Minkowski averages- convergence and convexification rates. Zbl 1074.41011Dyn, Nira; Farkhi, Elza 9 2004 Robust spherical parameterization of triangular meshes. Zbl 1060.65028Sheffer, A.; Gotsman, C.; Dyn, N. 6 2004 Quasilinear subdivision schemes with applications to ENO interpolation. Zbl 1046.65071Cohen, Albert; Dyn, Nira; Matei, Basarab 58 2003 Exponentials reproducing subdivision schemes. Zbl 1095.41001Dyn, Nira; Levin, David; Luzzatto, Ariel 44 2003 Face-value subdivision schemes on triangulations by repeated averaging. Zbl 1037.65023Dyn, Nira; Levin, David; Simoens, Jo 2 2003 Refining oscillatory signals by non-stationary subdivision schemes. Zbl 1043.94516Dyn, Nira; Levin, David; Luzzatto, Ariel 2 2003 Subdivision schemes in geometric modelling. Zbl 1105.65310Dyn, Nira; Levin, David 175 2002 Analysis of convergence and smoothness by the formalism of Laurent polynomials. Zbl 1004.65028Dyn, Nira 19 2002 Adaptive thinning for bivariate scattered data. Zbl 1002.65020Dyn, N.; Floater, M. S.; Iske, A. 11 2002 Interpolatory subdivision schemes. Zbl 1004.65027Dyn, Nira 11 2002 Spline subdivision schemes for compact sets. A survey. Zbl 1041.42023Dyn, N.; Farkhi, E. 7 2002 Poly-scale refinability and subdivision. Zbl 1011.42017Dekel, S.; Dyn, N. 5 2002 Matrix subdivision-analysis by factorization. Zbl 1041.42028Dyn, Nira; Levin, David 3 2002 The metric average of 1D compact sets. Zbl 1043.65034Baier, Robert; Dyn, Nira; Farkhi, Elza 2 2002 Spline subdivision schemes for compact sets with metric averages. Zbl 1112.41301Dyn, Nira; Farkhi, Elza 7 2001 Optimizing 3D triangulations using discrete curvature analysis. Zbl 0989.65037Dyn, Nira; Hormann, Kai; Kim, Sun-Jeong; Levin, David 7 2001 Univariate adaptive thinning. Zbl 0989.65007Dyn, Nira; Floater, Michael S.; Iske, Armin 5 2001 Multivariate approximation and applications. Zbl 0963.00017 2 2001 Multiresolution schemes of triangles for scalar conservation laws. Zbl 0959.65105Cohen, Albert; Dyn, Nira; Kaber, Sidi Mahmoud; Postel, Marie 16 2000 Smooth multiwavelet duals of Alpert bases by moment-interpolating refinement. Zbl 0967.65120Donoho, David L.; Dyn, Nira; Levin, David; Yu, Thomas P. Y. 8 2000 Spline subdivision schemes for convex compact sets. Zbl 0970.65016Dyn, Nira; Farkhi, Elza 8 2000 Polynomial interpolation to data on flats in \(\mathbb{R}^d\). Zbl 0960.41003de Boor, Carl; Dyn, Nira; Ron, Amos 3 2000 A construction of biorthogonal functions to B-splines with multiple knots. Zbl 0939.42018Dyn, N. 1 2000 Analysis of Hermite-interpolatory subdivision schemes. Zbl 0967.42024Dyn, Nira; Levin, David 33 1999 Variational principles and Sobolev-type estimates for generalized interpolation on a Riemannian manifold. Zbl 0948.41015Dyn, N.; Narcowich, F. J.; Ward, J. D. 30 1999 Convexity preservation of the four-point interpolatory subdivision scheme. Zbl 0994.41018Dyn, Nira; Kuijt, Frans; Levin, David; van Damme, Ruud 27 1999 Normals of the butterfly subdivision scheme surfaces and their applications. Zbl 0934.65018Shenkman, P.; Dyn, N.; Levin, D. 3 1999 A Hermite subdivision scheme for the evaluation of the Powell-Sabin 12-split element. Zbl 0930.65005Dyn, Nira; Lyche, Tom 8 1998 A framework for interpolation and approximation on Riemannian manifolds. Zbl 1049.41014Dyn, Nira; Narcowich, Francis J.; Ward, Joseph D. 3 1997 Uniqueness of least-norm generalized monosplines induced by log-concave weight-functions. Zbl 0887.41012Dyn, Nira 3 1997 Nonstationary subdivision schemes and multiresolution analysis. Zbl 0862.41013Cohen, Albert; Dyn, Nira 34 1996 Multiquadric \(B\)-splines. Zbl 0864.41012Beatson, R. K.; Dyn, N. 24 1996 Stability and inter-dependence of matrix subdivision schemes. Zbl 1273.41022Cohen, Albert; Dyn, Nira; Levin, David 9 1996 The work of John Gregory, rational spline interpolation, subdivision algorithms and \(C^ 2\) polygonal patches. Zbl 0871.01013Dyn, Nira 1 1996 Analysis of asymptotically equivalent binary subdivision schemes. Zbl 0836.65012Dyn, Nira; Levin, David 67 1995 Generalized refinement equations and subdivision processes. Zbl 0823.45001Derfel, G.; Dyn, N.; Levin, D. 41 1995 On quasi-interpolation by radial basis functions with scattered centres. Zbl 0824.41010Buhmann, M. D.; Dyn, N.; Levin, D. 30 1995 Analysis of Hermite-type subdivision schemes. Zbl 0927.65034Dyn, Nira; Levin, David 18 1995 Radial basis function approximation: From gridded centres to scattered centres. Zbl 0827.41007Dyn, N.; Ron, A. 16 1995 Multiresolution analysis by infinitely differentiable compactly supported functions. Zbl 0811.42011Dyn, N.; Ron, A. 11 1995 Piecewise uniform subdivision schemes. Zbl 0835.65163Dyn, N.; Gregory, J. A.; Levin, D. 5 1995 The subdivision experience. Zbl 0815.65010Dyn, N.; Levin, D. 6 1994 Spectral convergence of multiquadratic interpolation. Zbl 0791.41002Buhmann, Martin; Dyn, Nira 39 1993 ...and 64 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,372 Authors 82 Dyn, Nira 40 Romani, Lucia 39 Conti, Costanza 34 Amat, Sergio P. 34 Mustafa, Ghulam 26 Yoon, Jungho 24 Liandrat, Jacques 22 Trillo, Juan Carlos 20 Ron, Amos 20 Siddiqi, Shahid Saeed 20 Wu, Zongmin 19 Mazure, Marie-Laurence 17 Charina, Maria 17 Zheng, Hongchan 15 Rehan, Kashif 14 Sun, Xingping 13 Manni, Carla 13 Shi, Yingguang 13 Ward, Joseph Dinneen 12 Beccari, Carolina Vittoria 12 Chui, Charles Kam-tai 12 Donat, Rosa 12 Floater, Michael S. 12 Gao, Wenwu 12 Han, Bin 12 Jiang, Qingtang 11 Casciola, Giulio 11 Merrien, Jean-Louis 11 Protasov, Vladimir Yu. 10 Cohen, Albert 10 Iske, Armin 10 Sabin, Malcolm A. 10 Sauer, Tomas 10 Yu, Thomas Pok-Yin 9 Aràndiga, Francesc 9 Deng, Chongyang 9 Grohs, Philipp 9 Hameed, Rabia 9 Kounchev, Ognyan Ivanov 9 Narcowich, Francis J. 9 Render, Hermann 9 Schaback, Robert 9 Weinmann, Andreas 9 Yáñez, Dionisio F. 8 Buhmann, Martin Dietrich 8 Dadourian, Karine 8 Dubuc, Serge 8 Farkhi, Elza M. 8 Goldman, Ronald N. 8 Hormann, Kai 8 Jeong, Byeongseon 8 Jetter, Kurt 8 Jia, Rong-Qing 8 Lee, Yeon Ju 8 Levesley, Jeremy 8 Ma, Changfeng 8 Micchelli, Charles A. 8 Morawiec, Janusz 8 Reif, Ulrich 8 Sun, Qiyu 8 Tan, Jieqing 7 Baccou, Jean 7 Băleanu, Dumitru I. 7 de Boor, Carl 7 Esmaeilbeigi, Mohsen 7 Ismailov, Vugar E. 7 Jena, Mahendra Kumar 7 Kapica, Rafał 7 Lyche, Tom 7 Ma, Weiyin 7 Rossini, Milvia 7 Sezer, Mehmet 7 Speleers, Hendrik 7 Zhang, Baoxing 6 Ashraf, Pakeeza 6 Barrar, Richard B. 6 Cotronei, Mariantonia 6 Deng, Jiansong 6 Dodgson, Neil A. 6 Fornberg, Bengt 6 Goodman, Timothy N. T. 6 Johnson, Michael James 6 Kimchi, Esther 6 Li, Song 6 Loeb, Henry L. 6 Matei, Basarab 6 Moncayo, María 6 Oswald, Peter 6 Plonka, Gerlind 6 Pottmann, Helmut 6 Rippa, Shmuel 6 Schumaker, Larry L. 6 Shen, Zuowei 6 Stöckler, Joachim 6 Zhang, Li 6 Zhou, Jie 5 Barry, Phillip J. 5 Bozzini, Mira 5 Carnicer, Jésus Miguel 5 Chand, Arya Kumar Bedabrata ...and 1,272 more Authors all top 5 Cited in 238 Serials 137 Computer Aided Geometric Design 117 Journal of Computational and Applied Mathematics 111 Journal of Approximation Theory 83 Applied Mathematics and Computation 57 Advances in Computational Mathematics 46 Numerical Algorithms 42 Applied and Computational Harmonic Analysis 38 Computers & Mathematics with Applications 37 Constructive Approximation 31 Mathematics of Computation 25 Numerische Mathematik 22 Applied Numerical Mathematics 19 Journal of Mathematical Analysis and Applications 19 International Journal of Computer Mathematics 16 Linear Algebra and its Applications 15 Journal of Computational Physics 14 Foundations of Computational Mathematics 13 Mathematics and Computers in Simulation 13 The Journal of Fourier Analysis and Applications 12 BIT 12 Engineering Analysis with Boundary Elements 11 Computer Methods in Applied Mechanics and Engineering 9 International Journal of Wavelets, Multiresolution and Information Processing 8 Computing 8 Numerical Functional Analysis and Optimization 8 Journal of Scientific Computing 7 International Journal for Numerical Methods in Engineering 7 Proceedings of the American Mathematical Society 7 Theoretical Population Biology 7 Applied Mathematics Letters 7 Mathematical Problems in Engineering 7 S\(\vec{\text{e}}\)MA Journal 6 Transactions of the American Mathematical Society 6 Applied Mathematical Modelling 6 SIAM Journal on Scientific Computing 6 Journal of Inequalities and Applications 6 International Journal of Applied and Computational Mathematics 5 RAIRO. 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Scienze Matematiche 2 Journal of Mathematics and Music 2 Set-Valued and Variational Analysis 2 Journal of the Korean Society for Industrial and Applied Mathematics 2 Axioms ...and 138 more Serials all top 5 Cited in 55 Fields 901 Numerical analysis (65-XX) 502 Approximations and expansions (41-XX) 171 Harmonic analysis on Euclidean spaces (42-XX) 120 Computer science (68-XX) 67 Information and communication theory, circuits (94-XX) 63 Partial differential equations (35-XX) 34 Linear and multilinear algebra; matrix theory (15-XX) 33 Real functions (26-XX) 31 Functional analysis (46-XX) 30 Statistics (62-XX) 24 Combinatorics (05-XX) 23 Biology and other natural sciences (92-XX) 22 Fluid mechanics (76-XX) 22 Operations research, mathematical programming (90-XX) 20 Measure and integration (28-XX) 20 Convex and discrete geometry (52-XX) 19 Difference and functional equations (39-XX) 19 Operator theory (47-XX) 18 Ordinary differential equations (34-XX) 18 Probability theory and stochastic processes (60-XX) 17 Differential geometry (53-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 14 Mechanics of deformable solids (74-XX) 11 Number theory (11-XX) 11 Commutative algebra (13-XX) 11 Integral equations (45-XX) 10 Special functions (33-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Potential theory (31-XX) 9 Geophysics (86-XX) 8 Geometry (51-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 General topology (54-XX) 6 Classical thermodynamics, heat transfer (80-XX) 6 Systems theory; control (93-XX) 4 Algebraic geometry (14-XX) 4 Abstract harmonic analysis (43-XX) 4 Integral transforms, operational calculus (44-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Associative rings and algebras (16-XX) 3 Topological groups, Lie groups (22-XX) 2 Group theory and generalizations (20-XX) 2 Functions of a complex variable (30-XX) 2 Sequences, series, summability (40-XX) 1 \(K\)-theory (19-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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