The μ-basis of a planar rational curve—properties and computation
From MaRDI portal
Publication:4421081
DOI10.1016/S1077-3169(02)00017-5zbMath1055.68117OpenAlexW4248148607MaRDI QIDQ4421081
Publication date: 19 August 2003
Published in: Graphical Models (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s1077-3169(02)00017-5
Related Items
Algorithms for computing strong \(\mu\)-bases for rational tensor product surfaces ⋮ Strong $\mu$-Bases for Rational Tensor Product Surfaces and Extraneous Factors Associated to Bad Base Points and Anomalies at Infinity ⋮ Using moving planes to implicitize rational surfaces generated from a planar curve and a space curve ⋮ Complex \(\mu\)-bases for real quadric surfaces ⋮ Explicit \(\mu\)-bases for conic sections and planar rational cubic curves ⋮ Computing \(\mu\)-bases from algebraic ruled surfaces ⋮ The implicit equation of a canal surface ⋮ Using \(\mu \)-bases to reduce the degree in the computation of projective equivalences between rational curves in \(n\)-space ⋮ Computing \(\mu\)-bases of univariate polynomial matrices using polynomial matrix factorization ⋮ Survey on the theory and applications of \(\mu\)-bases for rational curves and surfaces ⋮ Implicitization and parametrization of quadratic and cubic surfaces by \(\mu\)-bases ⋮ A basis for the implicit representation of planar rational cubic Bézier curves ⋮ Role of moving planes and moving spheres following Dupin cyclides ⋮ Projective and affine symmetries and equivalences of rational curves in arbitrary dimension ⋮ \(\mu \)-bases for polynomial systems in one variable ⋮ Computing self-intersection curves of rational ruled surfaces ⋮ Axial moving planes and singularities of rational space curves ⋮ \(\mu \)-bases and singularities of rational planar curves ⋮ Implicitization using univariate resultants ⋮ Using Smith normal forms and \(\mu\)-bases to compute all the singularities of rational planar curves ⋮ Implicitizing rational surfaces of revolution using \(\mu \)-bases ⋮ Algorithm for computing \(\mu\)-bases of univariate polynomials ⋮ Using \(\mu \)-bases to implicitize rational surfaces with a pair of orthogonal directrices ⋮ \(\mu\)-bases for complex rational curves ⋮ Cubic algebraic spline curves design ⋮ The \(\mu \)-basis and implicitization of a rational parametric surface ⋮ Rational curves over generalized complex numbers ⋮ \(\mu\)-bases for rational canal surfaces ⋮ Computing singular points of plane rational curves ⋮ Representing rational curve segments and surface patches using semi-algebraic sets ⋮ Constructing quadratic birational maps via their complex rational representation ⋮ Inversion, degree, reparametrization and implicitization of improperly parametrized planar curves using \(\mu \)-basis ⋮ Axial moving lines and singularities of rational planar curves ⋮ Division algorithms for Bernstein polynomials ⋮ A computational study of ruled surfaces ⋮ Implicitization of rational ruled surfaces with \(\mu \)-bases