Complete subdivision algorithms, II: Isotopic meshing of singular algebraic curves

Article Properties
Journal Categories
Science
Mathematics
Science
Mathematics
Instruments and machines
Electronic computers
Computer science
Technology
Engineering (General)
Civil engineering (General)
Technology
Technology (General)
Industrial engineering
Management engineering
Applied mathematics
Quantitative methods
Refrences
Title Journal Journal Categories Citations Publication Date
Complete numerical isolation of real roots in zero-dimensional triangular systems 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 2009
Interval analysis for computer graphics ACM SIGGRAPH Computer Graphics 85 1992
An exact and efficient approach for computing a cell in an arrangement of quadrics Computational Geometry
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Technology: Engineering (General). Civil engineering (General)
15 2006
An efficient method for analyzing the topology of plane real algebraic curves Mathematics and Computers in Simulation
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
1996
Is it Really Zero? 2007
Citations
Title Journal Journal Categories Citations Publication Date
An improved complexity bound for computing the topology of a real algebraic space curve 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)
2024
Certified numerical real root isolation for bivariate nonlinear systems 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)
2023
Condition numbers for the cube. I: Univariate polynomials and hypersurfaces 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)
2023
On the Complexity of the Plantinga–Vegter Algorithm Discrete & Computational Geometry
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
  • Science: Mathematics
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Technology: Engineering (General). Civil engineering (General)
1 2022
Certified numerical algorithm for isolating the singularities of the plane projection of generic smooth space curves Journal of Computational and Applied Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2021
Citations Analysis
The category Science: Mathematics: Instruments and machines: Electronic computers. Computer science 11 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled SqFreeEVAL: An (almost) optimal real-root isolation algorithm and was published in 2012. The most recent citation comes from a 2024 study titled An improved complexity bound for computing the topology of a real algebraic space curve. This article reached its peak citation in 2023, with 2 citations. It has been cited in 10 different journals, 10% of which are open access. Among related journals, the Journal of Symbolic Computation cited this research the most, with 6 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year