H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 55 Citations 9,368 163 World Ranking 374 National Ranking 199

Overview

What is he best known for?

The fields of study he is best known for:

  • Geometry
  • Quantum mechanics
  • Mathematical analysis

Mathematical analysis, Arc length, Curvature, Algorithm and Polynomial are his primary areas of study. His Mathematical analysis study typically links adjacent topics like Quintic function. His Curvature research is multidisciplinary, incorporating elements of Spline and Solid modeling.

His Algorithm research includes themes of Variable and Acceleration. His Polynomial study incorporates themes from Bernstein polynomial, Pure mathematics, Numerical stability and Square. The Hodograph study which covers Pythagorean theorem that intersects with Pythagorean hodograph.

His most cited work include:

  • Pythagorean hodographs (352 citations)
  • Triple point of Yukawa systems (335 citations)
  • Algorithms for polynomials in Bernstein form (287 citations)

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

His scientific interests lie mostly in Mathematical analysis, Geometry, Polynomial, Quintic function and Arc length. The concepts of his Mathematical analysis study are interwoven with issues in Curvature and Tangent. His study in the field of Surface and Normal also crosses realms of Offset.

The various areas that Rida T. Farouki examines in his Polynomial study include Bernstein polynomial, Pure mathematics, Control theory, Function and Algorithm. The study incorporates disciplines such as Basis and Algebra in addition to Bernstein polynomial. His Quintic function study combines topics from a wide range of disciplines, such as Quadratic equation, Quaternion, Hopf fibration and Scalar.

He most often published in these fields:

  • Mathematical analysis (31.58%)
  • Geometry (16.67%)
  • Polynomial (16.67%)

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

  • Mathematical analysis (31.58%)
  • Arc length (14.91%)
  • Quintic function (15.79%)

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

Rida T. Farouki spends much of his time researching Mathematical analysis, Arc length, Quintic function, Tangent and Curvature. He has researched Mathematical analysis in several fields, including Solution set, Angular velocity and Rotation. His Quintic function study also includes

  • Interpolation that connect with fields like Algorithm,
  • Spline interpolation which is related to area like Quadratic function.

His Tangent research is included under the broader classification of Geometry. Many of his research projects under Curvature are closely connected to Maxima with Maxima, tying the diverse disciplines of science together. His Applied mathematics research includes elements of Parametric equation and Monotone polygon.

Between 2011 and 2021, his most popular works were:

  • The Bernstein polynomial basis: A centennial retrospective (272 citations)
  • Optimal tool orientation control for 5-axis CNC milling with ball-end cutters (38 citations)
  • High-speed cornering by CNC machines under prescribed bounds on axis accelerations and toolpath contour error (37 citations)

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

  • Quantum mechanics
  • Geometry
  • Mathematical analysis

Rida T. Farouki focuses on Quintic function, Mathematical analysis, Tangent, Arc length and Control theory. Rida T. Farouki has included themes like Discrete mathematics, Curvature, Free parameter and Interpolation in his Quintic function study. He has included themes like Family of curves, Numerical integration, Bézier curve and Applied mathematics in his Discrete mathematics study.

His study in Polynomial and Hopf fibration is done as part of Mathematical analysis. His Tangent research incorporates themes from Osculating circle, Quadratic equation, Algebraic number, Characterization and Orthonormal frame. His research integrates issues of Path, Measure, Acceleration and Monotonic function in his study of Control theory.

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.

Top Publications

Triple point of Yukawa systems

S. Hamaguchi;R. T. Farouki;D. H. E. Dubin.
Physical Review E (1997)

573 Citations

Pythagorean hodographs

R. T. Farouki;T. Sakkalis.
IBM Journal of Research and Development archive (1990)

543 Citations

On the numerical condition of polynomials in Berstein form

R. T. Farouki;V. T. Rajan.
Computer Aided Geometric Design (1987)

425 Citations

Algorithms for polynomials in Bernstein form

R. T. Farouki;V. T. Rajan.
Computer Aided Geometric Design (1988)

423 Citations

The Bernstein polynomial basis: A centennial retrospective

Rida T. Farouki.
Computer Aided Geometric Design (2012)

381 Citations

Pythagorean-hodograph curves : algebra and geometry inseparable

Rida Farouki.
(2007)

326 Citations

Hermite interpolation by Pythagorean hodograph quintics

R. T. Farouki;C. A. Neff.
Mathematics of Computation (1995)

271 Citations

Analytic properties of plane offset curves

R. T. Farouki;C. A. Neff.
Computer Aided Geometric Design (1990)

269 Citations

The approximation of non-degenerate offset surfaces

R T Farouki.
Computer Aided Geometric Design (1986)

245 Citations

Computer simulations of environmental influences on galaxy evolution in dense clusters. II. rapid tidal encounters

R. Farouki;S.L. Shapiro.
The Astrophysical Journal (1981)

210 Citations

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

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