R. K. Beatson

4.4k total citations · 1 hit paper
55 papers, 3.1k citations indexed

About

R. K. Beatson is a scholar working on Computational Mechanics, Mechanics of Materials and Atomic and Molecular Physics, and Optics. According to data from OpenAlex, R. K. Beatson has authored 55 papers receiving a total of 3.1k indexed citations (citations by other indexed papers that have themselves been cited), including 27 papers in Computational Mechanics, 20 papers in Mechanics of Materials and 15 papers in Atomic and Molecular Physics, and Optics. Recurrent topics in R. K. Beatson's work include Advanced Numerical Analysis Techniques (21 papers), Numerical methods in engineering (19 papers) and Electromagnetic Scattering and Analysis (15 papers). R. K. Beatson is often cited by papers focused on Advanced Numerical Analysis Techniques (21 papers), Numerical methods in engineering (19 papers) and Electromagnetic Scattering and Analysis (15 papers). R. K. Beatson collaborates with scholars based in New Zealand, United Kingdom and United States. R. K. Beatson's co-authors include W. R. Fright, J. C. Carr, Toby J. Mitchell, B. C. McCallum, Talfan Evans, Garry N. Newsam, Stephen Billings, M. J. D. Powell, Leslie Greengard and Will Light and has published in prestigious journals such as Journal of Geophysical Research Atmospheres, Geophysics and IEEE Transactions on Medical Imaging.

In The Last Decade

R. K. Beatson

53 papers receiving 2.8k citations

Hit Papers

Reconstruction and representation of 3D objects with radi... 2001 2026 2009 2017 2001 400 800 1.2k
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Reconstruction and representation of 3D objects with radial basis functions
    2001 1.3k citations J. C. Carr, R. K. Beatson et al. profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
R. K. Beatson New Zealand 22 1.7k 853 792 604 259 55 3.1k
Jonathan Richard Shewchuk United States 31 2.3k 1.4× 2.4k 2.8× 1.2k 1.5× 398 0.7× 206 0.8× 61 5.8k
Wayne Tiller United States 24 5.2k 3.1× 1.8k 2.1× 1.4k 1.8× 1.2k 2.0× 111 0.4× 42 7.4k
Gerald Farin United States 33 5.0k 3.0× 2.6k 3.0× 1.5k 1.9× 517 0.9× 103 0.4× 107 6.6k
Michael S. Floater Norway 28 2.9k 1.7× 1.7k 2.0× 837 1.1× 599 1.0× 77 0.3× 88 3.9k
David Levin Israel 32 4.3k 2.6× 2.7k 3.2× 1.8k 2.3× 321 0.5× 311 1.2× 96 6.4k
Kai Hormann Switzerland 27 2.0k 1.2× 1.3k 1.6× 659 0.8× 277 0.5× 44 0.2× 102 3.0k
Patrick Knupp United States 29 1.7k 1.0× 1.4k 1.6× 264 0.3× 176 0.3× 69 0.3× 69 2.5k
Robert M. Kirby United States 35 2.0k 1.2× 678 0.8× 559 0.7× 522 0.9× 93 0.4× 145 3.7k
Holger Wendland Germany 24 3.5k 2.1× 257 0.3× 453 0.6× 2.5k 4.1× 360 1.4× 74 6.2k
Robert Bridson Canada 36 3.5k 2.1× 3.2k 3.7× 1.2k 1.5× 240 0.4× 90 0.3× 76 5.0k

Countries citing papers authored by R. K. Beatson

Since Specialization
Citations

This map shows the geographic impact of R. K. Beatson'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 R. K. Beatson with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites R. K. Beatson more than expected).

Fields of papers citing papers by R. K. Beatson

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by R. K. Beatson. 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 R. K. Beatson. The network helps show where R. K. Beatson may publish in the future.

Co-authorship network of co-authors of R. K. Beatson

This figure shows the co-authorship network connecting the top 25 collaborators of R. K. Beatson. A scholar is included among the top collaborators of R. K. Beatson based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with R. K. Beatson. R. K. Beatson is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Beatson, R. K. & Wolfgang zu Castell. (2017). Dimension hopping and families of strictly positive definite zonal basis functions on spheres. Journal of Approximation Theory. 221. 22–37. 7 indexed citations
2.
Beatson, R. K., et al.. (2016). One-Step Recurrences for Stationary Random Fields on the Sphere. Symmetry Integrability and Geometry Methods and Applications. 4 indexed citations
3.
Beatson, R. K., et al.. (2013). Faster fast evaluation of thin plate splines in two dimensions. Journal of Computational and Applied Mathematics. 261. 201–212. 5 indexed citations
4.
Beatson, R. K., et al.. (2011). Better bases for radial basis function interpolation problems. Journal of Computational and Applied Mathematics. 236(4). 434–446. 16 indexed citations
5.
Beatson, R. K., Wolfgang zu Castell, & Stefan Schrödl. (2011). Kernel-Based Methods for Vector-Valued Data with Correlated Components. SIAM Journal on Scientific Computing. 33(4). 1975–1995. 3 indexed citations
6.
Beatson, R. K., Oleg Davydov, & Jeremy Levesley. (2009). Error bounds for anisotropic RBF interpolation. Journal of Approximation Theory. 162(3). 512–527. 9 indexed citations
7.
Vennell, Ross & R. K. Beatson. (2006). Moving vessel acoustic Doppler current profiler measurement of tidal stream function using radial basis functions. Journal of Geophysical Research Atmospheres. 111(C9). 24 indexed citations
8.
Beatson, R. K., et al.. (2005). Embeddings of Beppo–Levi spaces in Hölder–Zygmund spaces, and a new method for radial basis function interpolation error estimates. Journal of Approximation Theory. 137(2). 166–178. 1 indexed citations
9.
Billings, Stephen, R. K. Beatson, & Garry N. Newsam. (2002). Interpolation of geophysical data using continuous global surfaces. Geophysics. 67(6). 1810–1822. 38 indexed citations
10.
Billings, Stephen, Garry N. Newsam, & R. K. Beatson. (2002). Smooth fitting of geophysical data using continuous global surfaces. Geophysics. 67(6). 1823–1834. 24 indexed citations
11.
Carr, J. C., W. R. Fright, & R. K. Beatson. (1997). Surface interpolation with radial basis functions for medical imaging. IEEE Transactions on Medical Imaging. 16(1). 96–107. 295 indexed citations
12.
Beatson, R. K. & Nira Dyn. (1996). Multiquadric B-splines. Journal of Approximation Theory. 87(1). 1–24. 38 indexed citations
13.
Beatson, R. K. & Garry N. Newsam. (1992). Fast evaluation of radial basis functions: I. Computers & Mathematics with Applications. 24(12). 7–19. 102 indexed citations
14.
Beatson, R. K.. (1982). Best monotone approximation by reciprocals of polynomials. Journal of Approximation Theory. 36(2). 99–103. 1 indexed citations
15.
Beatson, R. K.. (1980). On the degree of approximation with hermite interpolatory side conditions. Journal of Approximation Theory. 28(3). 197–206. 1 indexed citations
16.
Beatson, R. K.. (1979). The degree of approximation by polynomials increasing to the right of the interval. Journal of Approximation Theory. 26(2). 151–158. 1 indexed citations
17.
Beatson, R. K.. (1979). Degree of approximation of differentiable functions by reciprocals of polynomials on [0, ∞). Journal of Approximation Theory. 27(1). 34–44. 1 indexed citations
18.
Beatson, R. K.. (1978). Jackson-type theorems for approximation with Hermite-Birkhoff interpolatory side conditions. Journal of Approximation Theory. 22(1). 95–104. 2 indexed citations
19.
Beatson, R. K.. (1978). Degree of approximation theorems for approximation with side conditions. Bulletin of the Australian Mathematical Society. 18(2). 297–297. 2 indexed citations
20.
Beatson, R. K.. (1978). The degree of monotone approximation. Pacific Journal of Mathematics. 74(1). 5–14. 40 indexed citations

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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