D-Index & Metrics Best Publications

D-Index & Metrics

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 37 Citations 7,437 127 World Ranking 1251 National Ranking 24

Overview

What is she best known for?

The fields of study she is best known for:

  • Mathematical analysis
  • Algebra
  • Geometry

Her primary areas of study are Interpolation, Mathematical analysis, Combinatorics, Topology and Algorithm. She has researched Interpolation in several fields, including Class, Mathematical optimization and Applied mathematics. She interconnects Boundary and Pure mathematics in the investigation of issues within Mathematical analysis.

Her Combinatorics research incorporates elements of Affine transformation, Binary number, Lie group, Invariant and Geodesic. Nira Dyn connects Topology with Tension in her research. Her work in Algorithm addresses issues such as Spline, which are connected to fields such as Thin plate spline, Smoothing and Computation.

Her most cited work include:

  • A butterfly subdivision scheme for surface interpolation with tension control (729 citations)
  • A 4-point interpolatory subdivision scheme for curve design (549 citations)
  • Numerical Procedures for Surface Fitting of Scattered Data by Radial Functions (324 citations)

What are the main themes of her work throughout her whole career to date?

The scientist’s investigation covers issues in Applied mathematics, Discrete mathematics, Mathematical analysis, Algorithm and Interpolation. The Applied mathematics study combines topics in areas such as Scheme, Smoothness, Mathematical optimization and Piecewise. Her Discrete mathematics study combines topics in areas such as Compact space, Metric, Polynomial, Algebra and Polynomial interpolation.

Her Mathematical analysis research integrates issues from Function and Pure mathematics. The various areas that Nira Dyn examines in her Algorithm study include Point, Image compression, Binary number and Combinatorics. Her biological study spans a wide range of topics, including Space and Basis function.

She most often published in these fields:

  • Applied mathematics (28.89%)
  • Discrete mathematics (23.33%)
  • Mathematical analysis (22.78%)

What were the highlights of her more recent work (between 2011-2021)?

  • Applied mathematics (28.89%)
  • Discrete mathematics (23.33%)
  • Pure mathematics (13.89%)

In recent papers she was focusing on the following fields of study:

Nira Dyn focuses on Applied mathematics, Discrete mathematics, Pure mathematics, Metric and Algorithm. Nira Dyn has included themes like Smoothness, Limit and Piecewise in her Applied mathematics study. Her Discrete mathematics research is multidisciplinary, incorporating perspectives in Divided differences, Grid, Linear combination and Interpolation.

The study incorporates disciplines such as Graph, Piecewise linear function, Rank, Uniqueness and Domain in addition to Interpolation. Her research integrates issues of Spline and Hausdorff distance in her study of Pure mathematics. Her study on Computation is often connected to Manifold as part of broader study in Algorithm.

Between 2011 and 2021, her most popular works were:

  • Convergence of univariate non-stationary subdivision schemes via asymptotic similarity (24 citations)
  • Regularity of generalized Daubechies wavelets reproducing exponential polynomials with real-valued parameters (21 citations)
  • Full length article: Multivariate polynomial interpolation on lower sets (18 citations)

In her most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Algebra
  • Geometry

Nira Dyn mostly deals with Applied mathematics, Discrete mathematics, Univariate, Algorithm and Binary number. Her Applied mathematics study incorporates themes from Point, Wavelet and Continuous function. Her Discrete mathematics research is multidisciplinary, relying on both Smoothing, Linear combination, Hermite polynomials and Interpolation.

Her Interpolation study frequently links to other fields, such as Combinatorics. Her research in Algorithm is mostly concerned with Computation. In Binary number, she works on issues like Sequence, which are connected to Geodesic.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

A butterfly subdivision scheme for surface interpolation with tension control

Nira Dyn;David Levine;John A. Gregory.
ACM Transactions on Graphics (1990)

1141 Citations

A 4-point interpolatory subdivision scheme for curve design

Nira Dyn;David Levin;John A. Gregory.
Computer Aided Geometric Design (1987)

844 Citations

Numerical Procedures for Surface Fitting of Scattered Data by Radial Functions

Nira Dyn;David Levin;Samuel Rippa.
Siam Journal on Scientific and Statistical Computing (1986)

496 Citations

Subdivision schemes in geometric modelling

Nira Dyn;David Levin.
Acta Numerica (2002)

471 Citations

Image warping by radial basis functions: applications to facial expressions

Nur Arad;Nira Dyn;Daniel Reisfeld;Yehezkel Yeshurun.
CVGIP: Graphical Models and Image Processing (1994)

349 Citations

Data Dependent Triangulations for Piecewise Linear Interpolation

Nira Dyn;David Levin;Samuel Rippa.
Ima Journal of Numerical Analysis (1990)

299 Citations

Optimizing 3D triangulations using discrete curvature analysis

Nira Dyn;Kai Hormann;Sun-Jeong Kim;David Levin.
mathematical methods for curves and surfaces (2001)

228 Citations

Analysis of uniform binary subdivision schemes for curve design

Nira Dyn;John A. Gregory;David Levin.
Constructive Approximation (1991)

224 Citations

Analysis of asymptotically equivalent binary subdivision schemes

N. Dyn;D. Levin.
Journal of Mathematical Analysis and Applications (1995)

190 Citations

Image compression by linear splines over adaptive triangulations

Laurent Demaret;Nira Dyn;Armin Iske.
Signal Processing (2006)

180 Citations

Editorial Boards

Journal of Approximation Theory
(Impact Factor: 0.993)

Best Scientists Citing Nira Dyn

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Charles A. Micchelli

Charles A. Micchelli

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Amir Averbuch

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Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking d-index is inferred from publications deemed to belong to the considered discipline.

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