scientific article; zbMATH DE number 5494035
From MaRDI portal
Publication:5301664
zbMath1190.14062MaRDI QIDQ5301664
Michael Kerber, Arno Eigenwillig, Nicola Wolpert
Publication date: 20 January 2009
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Symbolic computation and algebraic computation (68W30) Real algebraic sets (14P05) Computational aspects of algebraic curves (14Q05)
Related Items
Identifying and approximating monotonous segments of algebraic curves using support function representation ⋮ On the complexity of computing the topology of real algebraic space curves ⋮ Computing the topology of a plane or space hyperelliptic curve ⋮ A deterministic algorithm for isolating real roots of a real polynomial ⋮ On the topology and isotopic meshing of plane algebraic curves ⋮ Exact symbolic-numeric computation of planar algebraic curves ⋮ Algorithm for Connectivity Queries on Real Algebraic Curves ⋮ A generic and flexible framework for the geometrical and topological analysis of (algebraic) surfaces ⋮ On the isotopic meshing of an algebraic implicit surface ⋮ Arrangements on parametric surfaces. II: Concretizations and applications ⋮ On the topology of real algebraic plane curves ⋮ A complete, exact and efficient implementation for computing the edge-adjacency graph of an arrangement of quadrics ⋮ On the different shapes arising in a family of plane rational curves depending on a parameter ⋮ Topology of 2D and 3D rational curves ⋮ On the Topology of the Intersection Curve of Two Real Parameterized Algebraic Surfaces ⋮ Computing the shapes arising in a family of space rational curves depending on one parameter ⋮ Computing the topology of a real algebraic plane curve whose defining equations are available only ``by values ⋮ Sixty-Four Curves of Degree Six ⋮ Isotopic meshing of a real algebraic space curve ⋮ An evolution-based approach for approximate parameterization of implicitly defined curves by polynomial parametric spline curves ⋮ A general approach to isolating roots of a bitstream polynomial ⋮ Parallel computation of real solving bivariate polynomial systems by zero-matching method ⋮ A note on the complexity of real algebraic hypersurfaces ⋮ Root refinement for real polynomials using quadratic interval refinement ⋮ Improving the topology computation of an arrangement of cubics ⋮ From approximate factorization to root isolation with application to cylindrical algebraic decomposition ⋮ On the shape of curves that are rational in polar coordinates ⋮ Topology of real algebraic space curves ⋮ Representing rational curve segments and surface patches using semi-algebraic sets ⋮ On the asymptotic and practical complexity of solving bivariate systems over the reals ⋮ On the Complexity of Reliable Root Approximation ⋮ A worst-case bound for topology computation of algebraic curves ⋮ An efficient algorithm for the stratification and triangulation of an algebraic surface ⋮ Computing the topology of an arrangement of implicitly defined real algebraic plane curves ⋮ Bounds for polynomials on algebraic numbers and application to curve topology
Uses Software
