Involutions of polynomially parametrized surfaces

DOI10.1016/j.cam.2015.08.002zbMath1343.68258arXiv1403.2897OpenAlexW1952244146MaRDI QIDQ893108

Juan Gerardo Alcázar, Carlos Hermoso Ortíz

Publication date: 13 November 2015

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.2897

zbMATH Keywords

algebraic surfacesinvolutionsgeometric invariantssymmetry detectionpolynomial parametrizationssymmetries of algebraic surfaces

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Surfaces in Euclidean and related spaces (53A05) Machine vision and scene understanding (68T45)

Related Items (8)

Affine equivalences of surfaces of translation and minimal surfaces, and applications to symmetry detection and design ⋮ Symmetries of canal surfaces and Dupin cyclides ⋮ Computing symmetries of implicit algebraic surfaces ⋮ Projective and affine symmetries and equivalences of rational and polynomial surfaces ⋮ Affine equivalences, isometries and symmetries of ruled rational surfaces ⋮ Computing projective equivalences of planar curves birationally equivalent to elliptic and hyperelliptic curves ⋮ Projective isomorphisms between rational surfaces ⋮ Computing projective equivalences of special algebraic varieties

Uses Software

• Maple
• ISOLATE

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Detecting symmetries of rational plane and space curves
• Determining surfaces of revolution from their implicit equations
• Proper real reparametrization of rational ruled surfaces
• Rotations, translations and symmetry detection for complexified curves
• Rational algebraic curves. A computer algebra approach
• Solving systems of polynomial inequalities in subexponential time
• Solving zero-dimensional systems through the rational univariate representation
• Testing congruence and symmetry for general 3-dimensional objects.
• Efficient isolation of polynomial's real roots.
• Properness and inversion of rational parametrizations of surfaces
• On the theories of triangular sets
• Congruence, similarity, and symmetries of geometric objects
• Computation of the degree of rational surface parametrizations
• Detection of rotational and involutional symmetries and congruity of polyhedra
• Characterization of rational ruled surfaces
• Detecting similarity of rational plane curves
• Efficient detection of symmetries of polynomially parametrized curves
• Symmetry detection of rational space curves from their curvature and torsion
• A partial solution to the problem of proper reparametrization for rational surfaces
• On the problem of proper reparametrization for rational curves and surfaces
• A FIRST APPROACH TOWARDS NORMAL PARAMETRIZATIONS OF ALGEBRAIC SURFACES
• ON THE NORMAL PARAMETERIZATION OF CURVES AND SURFACES
• FINITE REPRESENTATIONS OF REAL PARAMETRIC CURVES AND SURFACES

This page was built for publication: Involutions of polynomially parametrized surfaces