Rida T. Farouki

10.7k total citations · 1 hit paper
204 papers, 8.0k citations indexed

About

Rida T. Farouki is a scholar working on Computational Mechanics, Mechanical Engineering and Computer Graphics and Computer-Aided Design. According to data from OpenAlex, Rida T. Farouki has authored 204 papers receiving a total of 8.0k indexed citations (citations by other indexed papers that have themselves been cited), including 164 papers in Computational Mechanics, 66 papers in Mechanical Engineering and 50 papers in Computer Graphics and Computer-Aided Design. Recurrent topics in Rida T. Farouki's work include Advanced Numerical Analysis Techniques (161 papers), Tribology and Lubrication Engineering (32 papers) and Advanced machining processes and optimization (29 papers). Rida T. Farouki is often cited by papers focused on Advanced Numerical Analysis Techniques (161 papers), Tribology and Lubrication Engineering (32 papers) and Advanced machining processes and optimization (29 papers). Rida T. Farouki collaborates with scholars based in United States, Italy and Greece. Rida T. Farouki's co-authors include Satoshi Hamaguchi, Takis Sakkalis, C. Andrew Neff, V. T. Rajan, D. H. E. Dubin, Alessandra Sestini, S. L. Shapiro, Carla Manni, T. N. T. Goodman and Carlotta Giannelli and has published in prestigious journals such as Physical Review Letters, The Journal of Chemical Physics and Neuron.

In The Last Decade

Rida T. Farouki

201 papers receiving 7.6k citations

Hit Papers

The Bernstein polynomial basis: A centennial retrospective 2012 2026 2016 2021 2012 100 200 300
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. The Bernstein polynomial basis: A centennial retrospective
    2012 304 citations Rida T. Farouki profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Rida T. Farouki United States 47 5.0k 2.0k 1.8k 1.2k 1.2k 204 8.0k
Uri M. Ascher Canada 40 3.7k 0.7× 700 0.4× 512 0.3× 491 0.4× 1.3k 1.1× 119 9.9k
Larry L. Schumaker United States 42 5.9k 1.2× 1.0k 0.5× 1.6k 0.9× 222 0.2× 509 0.4× 192 9.3k
David Levin Israel 32 4.3k 0.9× 766 0.4× 2.7k 1.5× 311 0.3× 415 0.4× 96 6.4k
William W. Hager United States 49 3.0k 0.6× 221 0.1× 212 0.1× 264 0.2× 1.5k 1.3× 166 10.6k
D. J. Walton United Kingdom 45 1.3k 0.3× 316 0.2× 594 0.3× 221 0.2× 284 0.2× 265 6.9k
Iain Duff United Kingdom 42 2.5k 0.5× 262 0.1× 197 0.1× 1.8k 1.5× 537 0.5× 141 10.1k
J. Peraire United States 51 7.8k 1.6× 284 0.1× 830 0.5× 519 0.4× 324 0.3× 229 10.4k
Peter Lancaster Canada 36 1.5k 0.3× 604 0.3× 149 0.1× 915 0.8× 1.6k 1.4× 184 10.3k
Wolfgang Dahmen Germany 45 4.5k 0.9× 360 0.2× 340 0.2× 514 0.4× 212 0.2× 202 7.6k
Herbert B. Keller United States 45 3.6k 0.7× 907 0.5× 72 0.0× 625 0.5× 835 0.7× 130 9.9k

Countries citing papers authored by Rida T. Farouki

Since Specialization
Citations

This map shows the geographic impact of Rida T. Farouki'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 Rida T. Farouki with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Rida T. Farouki more than expected).

Fields of papers citing papers by Rida T. Farouki

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Rida T. Farouki. 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 Rida T. Farouki. The network helps show where Rida T. Farouki may publish in the future.

Co-authorship network of co-authors of Rida T. Farouki

This figure shows the co-authorship network connecting the top 25 collaborators of Rida T. Farouki. A scholar is included among the top collaborators of Rida T. Farouki 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 Rida T. Farouki. Rida T. Farouki 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.
Farouki, Rida T., et al.. (2024). Application of a metric for complex polynomials to bounded modification of planar Pythagorean-hodograph curves. Journal of Computational and Applied Mathematics. 456. 116235–116235.
2.
Farouki, Rida T., et al.. (2022). Real-time compensation of backlash positional errors in CNC machines by localized feedrate modulation. The International Journal of Advanced Manufacturing Technology. 119(9-10). 5763–5776. 7 indexed citations
3.
Farouki, Rida T., et al.. (2022). On the construction of polynomial minimal surfaces with Pythagorean normals. Applied Mathematics and Computation. 435. 127439–127439. 2 indexed citations
4.
Farouki, Rida T., et al.. (2018). Feedrate modulation for accurate traversal of trimmed planar offset paths. The International Journal of Advanced Manufacturing Technology. 97(9-12). 3325–3337. 1 indexed citations
5.
6.
Farouki, Rida T. & Takis Sakkalis. (2011). A complete classification of quintic space curves with rational rotation-minimizing frames. Journal of Symbolic Computation. 47(2). 214–226. 21 indexed citations
7.
Farouki, Rida T., Carlotta Giannelli, & Alessandra Sestini. (2008). Helical polynomial curves and double Pythagorean hodographs I. Quaternion and Hopf map representations. Journal of Symbolic Computation. 44(2). 161–179. 23 indexed citations
8.
Sakkalis, Takis, Rida T. Farouki, & L. N. Vaserstein. (2008). Non-existence of rational arc length parameterizations for curves in Rn. Journal of Computational and Applied Mathematics. 228(1). 494–497. 12 indexed citations
9.
Farouki, Rida T., Chang Yong Han, & Joel Hass. (2005). Boundary evaluation algorithms for Minkowski combinations of complex sets using topological analysis of implicit curves. Numerical Algorithms. 40(3). 251–283. 3 indexed citations
10.
Farouki, Rida T., Carla Manni, & Alessandra Sestini. (2003). Spatial C^2 PH quintic splines. 147–156. 12 indexed citations
11.
Farouki, Rida T.. (2000). Legendre–Bernstein basis transformations. Journal of Computational and Applied Mathematics. 119(1-2). 145–160. 63 indexed citations
12.
Farouki, Rida T.. (2000). Curves from Motion, Motion from Curves. Defense Technical Information Center (DTIC). 2 indexed citations
13.
Farouki, Rida T., et al.. (1998). Cycles upon cycles: an anecdotal history of higher curves in science and engineering. 95–116. 4 indexed citations
14.
Farouki, Rida T. & C. Andrew Neff. (1995). Hermite interpolation by Pythagorean hodograph quintics. Mathematics of Computation. 64(212). 1589–1609. 165 indexed citations
15.
Farouki, Rida T. & Helmut Pottmann. (1994). Polynomial and Rational Pythagorean-Hodograph Curves Reconciled. 355–378. 15 indexed citations
16.
Farouki, Rida T. & John K. Johnstone. (1992). Computing Point/Curve and Curve/Curve Bisectors. 327–354. 28 indexed citations
17.
Farouki, Rida T., S. Hamaguchi, M. Surendra, & Mohamed Aqiel Dalvie. (1992). DynamicalN-body simulations of Coulomb scattering in plasma sheaths. Physical Review A. 46(12). 7815–7829. 4 indexed citations
18.
Farouki, Rida T., et al.. (1990). Wave-front propagation from exact algebraic equations. Optical Society of America Annual Meeting. MGG4–MGG4. 1 indexed citations
19.
Farouki, Rida T.. (1988). Numerical Stability in Geometric Algorithms and Representations. 83–113. 3 indexed citations
20.
Farouki, Rida T.. (1987). Graphical methods for surface differential geometry. Neuron. 12(3). 363–385. 8 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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