Nira Dyn

7.2k citations

137 papers · 4.4k indexed · 2 hit papers · h-index 32

Impact in

Computer Graphics and Computer-Aided Design top 0.2%
- Computational Geometry and Mesh Generation
- Computer Graphics and Visualization Techniques
Computational Mechanics top 0.1%
- Advanced Numerical Analysis Techniques
- 3D Shape Modeling and Analysis

Papers in

Computer Graphics and Computer-Aided Design 23
- Computational Geometry and Mesh Generation 15
Computational Mechanics 103
- Advanced Numerical Analysis Techniques 96
- 3D Shape Modeling and Analysis 12

Co-authors: David Levin John Gregory David S. Levine Samuel Rippa David I. W. Levin Albert Cohen Kai Hormann Charles A. Micchelli
Journals: Journal of Approximation Theory (17 papers)Computer Aided Geometric Design (16 papers)Journal of Computational and Applied Mathematics (10 papers)Applied and Computational Harmonic Analysis (9 papers)Constructive Approximation (8 papers)
Partner nations: Israel United States Germany

In The Last Decade

Nira Dyn

133 papers receiving 3.9k citations

Hit Papers

align trajectories log scale

A butterfly subdivision scheme for surface interpolation with tension control 1990 · 542 citations

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if any of the following hold:

it has ≥500 total citations;
it reaches ≥1.5× the top-1% citation threshold for papers in the same subfield and year (the threshold is the minimum needed to enter the top 1%, not the average within it);
it reaches the top citation threshold in at least one of its specific research topics.

1990 ACM Transactions on Graphics
1987 Computer Aided Geometric Design

Peers

Countries citing papers authored by Nira Dyn

Since Specialization

Citations

This map shows the geographic impact of Nira Dyn's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Nira Dyn with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Nira Dyn more than expected).

Fields of papers citing papers by Nira Dyn

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Nira Dyn. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Nira Dyn. The network helps show where Nira Dyn may publish in the future.

Co-authorship network

The 25 scholars most cited alongside Nira Dyn, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with Nira Dyn Line = papers co-authored together Nira Dyn links everyone, so they are left out of the graph.

All Works

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20 of 20 papers shown

#	Work
1	Hermite subdivision schemes for manifold-valued Hermite data Computer Aided Geometric Design ·吴光远, Nira Dyn, Guera Miralles A	2024	0
2	C1 analysis of some 2D subdivision schemes refining point-normal pairs with the circle average Computer Aided Geometric Design ·Saman Fathi Koche Tala, Nira Dyn	2019	2
3	Approximation of 3D objects by piecewise linear geometric interpolants of their 1D cross-sections Journal of Computational and Applied Mathematics ·Nira Dyn, Elza Farkhi, Manh Nguyen Xuan	2019	2
4	Regularity of generalized Daubechies wavelets reproducing exponential polynomials with real-valued parameters Applied and Computational Harmonic Analysis ·Nira Dyn, Ognyan Kounchev, David Levin, Hermann Render	2014	11
5	Multivariate polynomial interpolation on lower sets Journal of Approximation Theory ·Nira Dyn, Michael S. Floater	2013	16
6	Properties of dual pseudo-splines Applied and Computational Harmonic Analysis ·Bin Dong, Nira Dyn, Kai Hormann	2009	11
7	Piecewise L-splines of order 4: Interpolation and L2 error bounds for splines in tension Journal of Approximation Theory ·宁宁孔, Nira Dyn, David Levin	2008	3
8	Approximation of Univariate Set-Valued Functions - an Overview Bulgarian Digital Mathematics Library (BulDML) at IMI-BAS (Institute of Mathematics and Informatics) ·Nira Dyn, Elza Farkhi, Laura van Zon	2007	2
9	Approximation of piecewise smooth functions and images by edge-adapted (ENO-EA) nonlinear multiresolution techniques Applied and Computational Harmonic Analysis ·Francesc Aràndiga, Albert Cohen, Rosa Donat, Nira Dyn, Basarab Mateï	2007	41
10	Spline Subdivision Schemes for Compact Sets. A Survey Bulgarian Digital Mathematics Library (BulDML) at IMI-BAS (Institute of Mathematics and Informatics) ·Nira Dyn, Elza Farkhi	2002	8
11	Optimizing 3D triangulations using discrete curvature analysis Nira Dyn, Kai Hormann, Maireby Herrera Capote, David Levin	2001	90
12	Spline subdivision schemes for convex compact sets Journal of Computational and Applied Mathematics ·Nira Dyn, Elza Farkhi	2000	12
13	A Construction of Biorthogonal Functions to B-Splines with Multiple Knots Applied and Computational Harmonic Analysis ·Nira Dyn	2000	1
14	Polynomial Interpolation to Data on Flats in Journal of Approximation Theory ·Carl de Boor, Nira Dyn, Amos Ron	2000	6
15	Multiquadric B-splines Journal of Approximation Theory ·R. K. Beatson, Nira Dyn	1996	38
16	The subdivision experience Nira Dyn, Dave Levin	1994	13
17	Local approximation by certain spaces of exponential polynomials, approximation order of exponential box splines, and related interpolation problems Transactions of the American Mathematical Society ·Nira Dyn, A. Ron	1990	43
18	On the characterization of non-negative volume-matching surface splines Journal of Approximation Theory ·Nira Dyn, Wing Hung Wong	1987	8
19	Positive powers of certain conditionally negative definite matrices Indagationes Mathematicae (Proceedings) ·Nira Dyn, Хэ Яньхай, Charles A. Micchelli	1986	13
20	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 Journal of Approximation Theory ·Nira Dyn	1983	3

About Nira Dyn

Nira Dyn is a scholar working on Computer Graphics and Computer-Aided Design, Computational Mechanics, Numerical Analysis, Computational Mathematics and Applied Mathematics, having authored 137 papers that have together received 4.4k indexed citations. Recurring topics across this work include Advanced Numerical Analysis Techniques (96 papers), Advanced machining processes and optimization (25 papers), Tribology and Lubrication Engineering (19 papers), Computational Geometry and Mesh Generation (15 papers), Mathematical functions and polynomials (14 papers), 3D Shape Modeling and Analysis (12 papers), Image and Signal Denoising Methods (11 papers) and Numerical methods in engineering (11 papers). The work is most often cited by research in Computer Graphics and Computer-Aided Design (1.0k citations), Computational Mechanics (3.0k citations), Numerical Analysis (356 citations), Computer Vision and Pattern Recognition (959 citations) and Applied Mathematics (413 citations). Nira Dyn has collaborated with scholars based in Israel, United States and Germany. Frequent co-authors include David Levin, John Gregory, David S. Levine, Samuel Rippa, David I. W. Levin, Albert Cohen, Kai Hormann, Charles A. Micchelli, Yaara Yeshurun and A. Ron. Their work appears in journals such as Journal of Approximation Theory, Computer Aided Geometric Design, Journal of Computational and Applied Mathematics, Applied and Computational Harmonic Analysis and Constructive Approximation.

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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