Implicitizing rational surfaces using moving quadrics constructed from moving planes

Refrences

Title	Journal	Journal Categories	Citations	Publication Date
Implicitization of rational surfaces using toric varieties	Journal of Algebra	Science: Mathematics	11	2006
Equations of parametric surfaces with base points via syzygies	Journal of Symbolic Computation	Science: Mathematics: Instruments and machines: Electronic computers. Computer science Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods Science: Mathematics Technology: Engineering (General). Civil engineering (General) Technology: Engineering (General). Civil engineering (General)	21	2005
Revisiting the μ-basis of a rational ruled surface				2003
Implicitization, parameterization and singularity computation of Steiner surfaces using moving surfaces	Journal of Symbolic Computation	Science: Mathematics: Instruments and machines: Electronic computers. Computer science Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods Science: Mathematics Technology: Engineering (General). Civil engineering (General) Technology: Engineering (General). Civil engineering (General)	12	2012
Implicitizing rational surfaces of revolution using μ-bases	Computer Aided Geometric Design	Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware Science: Mathematics: Instruments and machines: Electronic computers. Computer science	20	2012

Refrences Analysis

Category	Category Repetition
Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software	11
Science: Mathematics: Instruments and machines: Electronic computers. Computer science	7
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods	6
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware	6
Science: Mathematics	2

The category Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software 11 is the most frequently represented among the references in this article. It primarily includes studies from Computer Aided Geometric Design and Journal of Algebra and Its Applications. The chart below illustrates the number of referenced publications per year.

Refrences used by this article by year

Citations

Title	Journal	Journal Categories	Citations	Publication Date
An Algorithm to Compute the $$\mu $$-Bases of Rational Parametric Surfaces with Respect to One Variable	Communications in Mathematics and Statistics	Science: Mathematics		2023
Efficient computation of moving planes for rational parametric surfaces with base points using Dixon resultants	Computer Aided Geometric Design	Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware Science: Mathematics: Instruments and machines: Electronic computers. Computer science		2023
Computing the Intersection of Two Rational Surfaces Using Matrix Representations	Computer-Aided Design	Science: Mathematics: Instruments and machines: Electronic computers. Computer science Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware Science: Mathematics: Instruments and machines: Electronic computers. Computer science	4	2022
A constructive approach to implicitizing rational surfaces with LCI base points by moving planes and moving quadrics	Computer Aided Geometric Design	Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware Science: Mathematics: Instruments and machines: Electronic computers. Computer science	2	2022
Inversion, degree, reparametrization and implicitization of improperly parametrized planar curves using μ-basis	Computer Aided Geometric Design	Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware Science: Mathematics: Instruments and machines: Electronic computers. Computer science	3	2021

Citations Analysis

Category	Category Repetition
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods	8
Science: Mathematics: Instruments and machines: Electronic computers. Computer science	7
Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software	7
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware	7
Science: Mathematics	6
Technology: Mechanical engineering and machinery	1
Technology: Engineering (General). Civil engineering (General)	1

The category Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods 8 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled An improved algorithm for constructing moving quadrics from moving planes and was published in 2017. The most recent citation comes from a 2023 study titled Efficient computation of moving planes for rational parametric surfaces with base points using Dixon resultants. This article reached its peak citation in 2018, with 4 citations. It has been cited in 6 different journals. Among related journals, the Computer Aided Geometric Design cited this research the most, with 4 citations. The chart below illustrates the annual citation trends for this article.