Nira Dyn
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Israeli mathematician
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Nira Dynmathematics Degrees
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Group Theory
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Algebra
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Mathematics
Nira Dyn's Degrees
- PhD Mathematics Tel Aviv University
- Masters Mathematics Tel Aviv University
- Bachelors Mathematics Tel Aviv University
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Why Is Nira Dyn Influential?
(Suggest an Edit or Addition)According to Wikipedia, Nira Dyn is an Israeli mathematician who studied geometric modeling, subdivision surfaces, approximation theory, and image compression. She is a professor emeritus of applied mathematics at Tel Aviv University, and has been called a "pioneer and leading researcher in the subdivision community".
Nira Dyn's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- A butterfly subdivision scheme for surface interpolation with tension control (1990) (954)
- A 4-point interpolatory subdivision scheme for curve design (1987) (695)
- Numerical Procedures for Surface Fitting of Scattered Data by Radial Functions (1986) (449)
- Subdivision schemes in geometric modelling (2002) (396)
- Image Warping by Radial Basis Functions: Application to Facial Expressions (1994) (298)
- Data Dependent Triangulations for Piecewise Linear Interpolation (1990) (289)
- Optimizing 3D triangulations using discrete curvature analysis (2001) (188)
- Analysis of uniform binary subdivision schemes for curve design (1991) (187)
- Convergence and C1 analysis of subdivision schemes on manifolds by proximity (2005) (164)
- Analysis of asymptotically equivalent binary subdivision schemes (1995) (160)
- Image compression by linear splines over adaptive triangulations (2006) (152)
- Interpolation of scattered Data by radial Functions (1987) (138)
- Quasilinear subdivision schemes with applications to ENO interpolation (2003) (129)
- Multipartite Secret Sharing by Bivariate Interpolation (2006) (105)
- Spectral convergence of multiquadric interpolation (1993) (97)
- Polynomial reproduction by symmetric subdivision schemes (2008) (93)
- Piecewise polynomial spaces and geometric continuity of curves (1989) (89)
- The numerical solution of equality constrained quadratic programming problems (1983) (86)
- Robust Spherical Parameterization of Triangular Meshes (2004) (86)
- Using parameters to increase smoothness of curves and surfaces generated by subdivision (1990) (83)
- Generalized Refinement Equations and Subdivision Processes (1995) (78)
- Nonstationary subdivision schemes and multiresolution analysis (1996) (76)
- Interpolatory convexity-preserving subdivision schemes for curves and surfaces (1992) (76)
- Exponentials Reproducing Subdivision Schemes (2003) (73)
- Local approximation by certain spaces of exponential polynomials, approximation order of exponential box splines, and related interpolation problems (1990) (72)
- Variational Principles and Sobolev-Type Estimates for Generalized Interpolation on a Riemannian Manifold (1999) (72)
- Approximation of piecewise smooth functions and images by edge-adapted (ENO-EA) nonlinear multiresolution techniques (2008) (68)
- Analysis of Hermite-interpolatory subdivision schemes (1999) (68)
- Analysis of Convergence and Smoothness by the Formalism of Laurent Polynomials (2002) (66)
- Multivariate Approximation and Applications: Index (2001) (66)
- Interpolating Subdivision Schemes for the Generation of Curves and Surfaces (1990) (65)
- Interpolation and Approximation of Piecewise Smooth Functions (2005) (62)
- Convexity preservation of the four-point interpolatory subdivision scheme (1999) (62)
- Algorithms for the construction of data dependent triangulations (1990) (60)
- Geometrically Controlled 4-Point Interpolatory Schemes (2005) (58)
- Subdivision schemes in CAGD (1992) (55)
- On multivariate approximation by integer translates of a basis function (1992) (55)
- Interpolation by piecewise-linear radial basis functions, II (1989) (54)
- Adaptive thinning for bivariate scattered data (2002) (53)
- A C 2 Four-Point Subdivision Scheme with Fourth Order Accuracy and its Extensions (2005) (51)
- Four-point curve subdivision based on iterated chordal and centripetal parameterizations (2009) (50)
- Multiresolution Schemes on Triangles for Scalar Conservation Laws (2000) (48)
- On quasi-interpolation by radial basis functions with scattered centres (1995) (43)
- Recurrence relations for Tchebycheffian B-splines (1988) (41)
- Multiquadric B-splines (1996) (40)
- Convergence of univariate non-stationary subdivision schemes via asymptotic similarity (2014) (39)
- Introduction to shift-invariant spaces. Linear independence (2001) (39)
- Interpolatory Subdivision Schemes (2002) (39)
- Generalized Gaussian quadrature formulas (1986) (39)
- Adaptive Thinning for Terrain Modelling and Image Compression (2005) (39)
- Iterative Solution of Systems Originating from Integral Equations and Surface Interpolation (1983) (38)
- On the Estimation of Functions of Several Variables from Aggregated Data. (1982) (38)
- Low Bit-Rate Image Coding Using Adaptive Geometric Piecewise Polynomial Approximation (2007) (30)
- Data-dependent triangulations for scattered data interpolation and finite element approximation (1993) (30)
- Stationary and non-stationary binary subdivision schemes (1992) (29)
- Analysis of Univariate Nonstationary Subdivision Schemes with Application to Gaussian-Based Interpolatory Schemes (2007) (29)
- Radial Basis Function Approximation: from Gridded Centres to Scattered Centres (1995) (29)
- Adaptive multiresolution analysis based on anisotropic triangulations (2011) (27)
- Multivariate polynomial interpolation on lower sets (2014) (27)
- Spline subdivision schemes for convex compact sets (2000) (25)
- Reconstruction of 3D objects from 2D cross-sections with the 4-point subdivision scheme adapted to sets (2011) (25)
- ON LOCALLY SUPPORTED BASIS FUNCTIONS FOR THE REPRESENTATION OF GEOMETRICALLY CONTINUOUS CURVES (1987) (24)
- On the convergence rates of subdivision algorithms for box spline surfaces (1985) (24)
- Acta Numerica 2002: Subdivision schemes in geometric modelling (2002) (24)
- Multiresolution Analysis by Infinitely Differentiable Compactly Supported Functions (1995) (24)
- Smooth Multiwavelet Duals of Alpert Bases by Moment-Interpolating Refinement (2000) (24)
- Regularity of generalized Daubechies wavelets reproducing exponential polynomials (2012) (23)
- Geometric conditions for tangent continuity of interpolatory planar subdivision curves (2012) (21)
- On two polynomial spaces associated with a box spline. (1991) (21)
- Set-Valued Approximations with Minkowski Averages – Convergence and Convexification Rates (2005) (21)
- Continuity of the Birkhoff Interpolation (1982) (20)
- Error Estimates for Multiquadric Interpolation (1991) (20)
- Approximation order of interpolatory nonlinear subdivision schemes (2010) (20)
- Interpolation by sums of radial functions (1990) (19)
- Positive powers of certain conditionally negative definite matrices (1986) (19)
- Meshfree Thinning of 3D Point Clouds (2008) (19)
- The subdivision experience (1994) (19)
- Prediction of linear and non-linear responses of MGB neurons by system identification methods. (1989) (18)
- Non-stationary versions of fixed-point theory, with applications to fractals and subdivision (2019) (18)
- Approximation of Set-Valued Functions - Adaptation of Classical Approximation Operator (2014) (18)
- Adaptive Approximation of Curves (2004) (18)
- Approximations of Set-Valued Functions by Metric Linear Operators (2005) (18)
- Identities for piecewise polynomial spaces determined by connection matrices (1991) (17)
- Attractors of trees of maps and of sequences of maps between spaces with applications to subdivision (2019) (17)
- Properties of dual pseudo-splines (2010) (17)
- On the existence of Hermite-Birkhoff quadrature formulas of Gaussian type☆ (1981) (17)
- Spline Subdivision Schemes for Compact Sets. A Survey (2002) (17)
- Face-value subdivision schemes on triangulations by repeated averaging (2003) (16)
- Increasing the smoothness of vector and Hermite subdivision schemes (2017) (16)
- Manifold-valued subdivision schemes based on geodesic inductive averaging (2014) (15)
- Transforming triangulations in polygonal domains (1993) (15)
- Boundary correction for piecewise linear interpolation defined over data-dependent triangulations (1992) (13)
- Radial basis function approximation : from gridded centers to scattered centers (1993) (13)
- A global approach to the refinement of manifold data (2014) (13)
- Comment [on "Smooth pycnophylactic interpolation for geographical regions"]. (1979) (13)
- Approximations of Set-Valued Functions Based on the Metric Average (2006) (12)
- Foundations of Computational Mathematics, Hong Kong 2008: Linear and Nonlinear Subdivision Schemes in Geometric Modeling (2009) (12)
- Analysis of subdivision schemes for nets of functions by proximity and controllability (2011) (12)
- Piecewise Uniform Subdivision Schemes (1991) (12)
- Cardinal translation invariant Tchebycheffian B-splines (1990) (11)
- Univariate subdivision and multi-scale transforms: The nonlinear case (2009) (11)
- A New Method for the Analysis of Univariate Nonuniform Subdivision Schemes (2014) (11)
- Identification of MGB cells by volterra kernels (1987) (11)
- A Hermite Subdivision Scheme for the Evaluation of the Powell-Sabin 12-Split Element (1999) (10)
- Univariate adaptive thinning (2001) (10)
- Poly-scale refinability and subdivision (2002) (10)
- Convergence and Smoothness of Nonlinear Lane–Riesenfeld Algorithms in the Functional Setting (2011) (10)
- Identification of MGB cells by Volterra kernels (2004) (10)
- On the uniqueness of monosplines and perfect splines of leastL1-andL2-norm (1982) (10)
- Subdivision Schemes of Sets and the Approximation of Set-Valued Functions in the Symmetric Difference Metric (2011) (9)
- A straightforward generalization of Diliberto and Straus' algorithm does not work (1980) (9)
- On the characterization of non-negative volume-matching surface splines (1987) (9)
- A weighted binary average of point-normal pairs with application to subdivision schemes (2016) (9)
- Three Families of Nonlinear Subdivision Schemes (2006) (9)
- Univariate subdivision schemes for noisy data with geometric applications (2015) (9)
- Construction of generators of quasi-interpolation operators of high approximation orders in spaces of polyharmonic splines (2011) (8)
- Uniform subdivision algorithms for curves and surfaces (1988) (8)
- Normals of the butterfly subdivision scheme surfaces and their applications (1999) (8)
- Polynomial Interpolation to Data on Flats in Rd (2000) (8)
- Construction of surface spline interpolants of scattered data over finite domains (1982) (8)
- Optimising 3D Triangulations: Improving the Initial Triangulation for the Butterfly Subdivision Scheme (2005) (8)
- Approximation of Univariate Set-Valued Functions - an Overview (2007) (8)
- Blending based corner cutting subdivision scheme for nets of curves (2010) (7)
- Nonstationary Subdivision Schemes, Multiresolution Analysis, and Wavelet Packets (1998) (7)
- Spline subdivision schemes for compact sets with metric averages (2001) (7)
- Identification of MGB cells by Volterra kernels (1987) (7)
- Piecewise L-splines of order 4: Interpolation and L2 error bounds for splines in tension (2009) (7)
- Non-stationary Subdivision Schemes: State of the Art and Perspectives (2021) (7)
- Radial basis function approximation : from gridded centers to scattered centers (7)
- Linear subdivision schemes for the refinement of geometric objects (2006) (6)
- Metric approximation of set-valued functions of bounded variation (2019) (6)
- Blending Based Chaikin type Subdivision Schemes for Nets of Curves (2005) (6)
- Regularity of generalized Daubechies wavelets reproducing exponential polynomials with real-valued parameters (2017) (6)
- 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 (1983) (6)
- Decompositions of trigonometric polynomials with applications to multivariate subdivision schemes (2009) (5)
- A Construction of Biorthogonal Functions to B-Splines with Multiple Knots (2000) (5)
- Refining Oscillatory Signals by Non—Stationary Subdivision Schemes (2003) (5)
- Generating surfaces by refinement of curves (2012) (5)
- The Metric Integral of Set-Valued Functions (2018) (5)
- Interpolatory blending net subdivision schemes of Dubuc-Deslauriers type (2012) (5)
- C1 analysis of 2D subdivision schemes refining point-normal pairs with the circle average (2018) (4)
- Bivariate interpolation based on univariate subdivision schemes (2012) (4)
- Numerical Construction of Smooth Surfaces from Aggregated Data. (1980) (4)
- An efficient algorithm for the computation of the metric average of two intersecting convex polygons, with application to morphing (2007) (4)
- Generalized monosplines and optimal approximation (1985) (4)
- On the uniqueness of generalized monosplines of least Lp-norm (1986) (4)
- Approximation of set-valued functions with compact images-an overview (2006) (4)
- Identification of MGB cells by volterra kernels. III. A glance into the black box. (1987) (3)
- Convergence analysis of corner cutting algorithms refining nets of functions (2020) (3)
- Composite Hermite-Birkhoff quadrature formulas of Gaussian type (1984) (3)
- Existence of Gaussian quadrature formulas for Birkhoff type data (1989) (3)
- Regularity Conditions for a Class of Geometrically Continuous Curves and Surfaces (1991) (3)
- Optimal distribution of knots for tensor-product spline approximation (1991) (3)
- Conditions for regular $B$-spline curves and surfaces (1992) (3)
- Periodic exponential box splines on a three direction mesh (1989) (3)
- Linear Multiscale Transforms Based on Even-Reversible Subdivision Operators (2017) (2)
- On the error in transfinite interpolation by low-rank functions (2020) (2)
- High order smoothness of non-linear Lane-Riesenfeld algorithms in the functional setting (2019) (2)
- Metric Fourier Approximation of Set-Valued Functions of Bounded Variation (2020) (2)
- Approximation of 3D objects by piecewise linear geometric interpolants of their 1D cross-sections (2020) (2)
- Almost cardinal spline interpolation (1990) (2)
- Non-uniform interpolatory subdivision schemes with improved smoothness (2022) (2)
- The Numerical Solution of a Class of Constrained Minimization Problems. (1982) (2)
- Convergence and smoothness of tensor-product of two non-uniform linear subdivision schemes (2018) (2)
- Blaschke products and optimal recovery inH∞ (1987) (2)
- Convergence of Interpolation to Transforms of Totally Positive Kernels (1988) (2)
- Multiresolution Analysis by Innnitely Diierentiable Compactly Supported Functions Multiresolution Analysis by Innnitely Diierentiable Compactly Supported Functions N. Dyn & A. Ron (1992) (1)
- Extending editing capabilities of subdivision schemes by refinement of point-normal pairs (2019) (1)
- Analytic Functions in Local Shift-Invariant Spaces and Analytic Limits of Level Dependent Subdivision (2019) (1)
- Convergence analysis of corner cutting algorithms refining points and refining nets of functions (2018) (1)
- Bernstein-type approximation of set-valued functions in the symmetric difference metric (2012) (1)
- Adaptive thinning of centers for approximation of a large data set by radial functions (2015) (1)
- Multivariate compactly supported C∞ functions by subdivision (2022) (1)
- Univariate subdivision schemes for noisy data (2013) (1)
- The convergence of manifold-valued subdivision schemes based on geodesic averaging (2014) (1)
- Multi-segmental representations and approximation of set-valued functions with 1D images (2009) (1)
- Two Algorithms for Approximation in Highly Complicated Planar Domains (2007) (1)
- Approximation by Translates of a Radial Function (2007) (1)
- Geometric Hermite Interpolation in Rn by Refinements (2022) (1)
- Normals of the butter y subdivision scheme surfaces and their applications (1999) (1)
- The Work of John Gregory, Rational Spline Interpolation, Subdivision Algorithms and C Polygonal Patches (1994) (1)
- Open Problem: Existence of Hermite Interpolatory Subdivision Schemes with Arbitrary Large Smoothnesses (2001) (0)
- A New Method for the Analysis of Univariate Nonuniform Subdivision Schemes (2014) (0)
- Computational Harmonic Analysis Organizing Committee Conference Secretary General Information Lecture Theatres Foreign Currency Exchange Email/fax Sightseeing Trip Non-uniform Sampling and Reconstruction in Shift-invariant Spaces with Applications to Signal and Image Processing Multiwavelet Transfor (0)
- On Density of Generalized Polynomials (1991) (0)
- The pointwise limit of metric integral operators approximating set-valued functions (2023) (0)
- High-Order Approximation of Set-Valued Functions (2022) (0)
- Methods Based on Minkowski Convex Combinations (2014) (0)
- Attractors of sequences of function systems and their relation to non-stationary subdivision (2016) (0)
- Methods Based on the Metric Average (2014) (0)
- SUBDIVISION SCHEMES FOR NETS OF CURVES AND THEIR ANALYSIS BY PROXIMITY (2009) (0)
- Non-stationary versions of fixed-point theory, with applications to fractals and subdivision (2019) (0)
- Multivariate Approximation and Applications: Preface (2001) (0)
- Face value subdivision schemes on triangulations (2002) (0)
- Computation of the Metric Average of 2D Sets with Piecewise Linear Boundaries (2010) (0)
- Decompositions of trigonometric polynomials with applications to multivariate subdivision schemes (2011) (0)
- On Functions with Values in Metric Spaces (2014) (0)
- Methods Based on Topological Representation (2014) (0)
- Metric Fourier Approximation of Set-Valued Functions of Bounded Variation (2021) (0)
- Methods Based on Metric Linear Combinations (2014) (0)
- SVFs with Images in ℝ (2014) (0)
- Methods Based on Metric Selections (2014) (0)
- Interpolation of Set-Valued Functions (2022) (0)
- Geometric Hermite Interpolation in $\mathbb{R}^n$ by Refinements (2022) (0)
- Periodic Exponential Box Splines on Direction Mes (1989) (0)
- On the Solution of a Constrained Minimization Problem in H'Omega Related to Density Estimation. (1981) (0)
- Methods Based on Canonical Representations (2014) (0)
- The Metric Integral of Set-Valued Functions (2017) (0)
- A New Class of Hermite-Birkhoff Quadrature Formulas of Gaussian Type. (1981) (0)
- Subdivision Schemes of Sets and the Approximation of Set-Valued Functions in the Symmetric Difference Metric (2013) (0)
- Prediction of linear and non-linear responses of MGB neurons by system identification methods (1989) (0)
- A new method for the analysis of univariate non-uniform subdivision schemes (2014) (0)
- A Stable Solution to Cell degeneracy in Grid Contouring (2012) (0)
- Mathematik Univariate Adaptive Thinning (2007) (0)
- Multi-Segmental and Topological Representations (2014) (0)
- On Set-Valued Functions (SVFs) (2014) (0)
- Multivariate compactly supported $C^\infty$ functions by subdivision (2022) (0)
- Approximation operators for matrix-valued functions based on matrix decompositions (2016) (0)
- Subdivision for C 1 Surface Interpolation (0)
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