Symmetry detection of rational space curves from their curvature and torsion

DOI10.1016/j.cagd.2015.01.003zbMath1375.65020arXiv1406.1451OpenAlexW1974623339MaRDI QIDQ2409701

Georg Muntingh, Carlos Hermoso Ortíz, Juan Gerardo Alcázar

Publication date: 13 October 2017

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.1451

zbMATH Keywords

algorithmpattern recognitiontorsioncurvaturearithmetic complexitysymmetry detectionrational space curves

Mathematics Subject Classification ID

Pattern recognition, speech recognition (68T10) Plane and space curves (14H50) Computational aspects of algebraic curves (14Q05) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (17)

Affine equivalences of trigonometric curves ⋮ Affine equivalences of surfaces of translation and minimal surfaces, and applications to symmetry detection and design ⋮ Similarity detection of rational space curves ⋮ Symmetry detection of rational space curves from their curvature and torsion ⋮ Involutions of polynomially parametrized surfaces ⋮ Projective and affine symmetries and equivalences of rational curves in arbitrary dimension ⋮ Symmetries of canal surfaces and Dupin cyclides ⋮ Computing symmetries of implicit algebraic surfaces ⋮ Detecting similarities of rational plane curves using complex differential invariants ⋮ Projective and affine symmetries and equivalences of rational and polynomial surfaces ⋮ Affine equivalences, isometries and symmetries of ruled rational surfaces ⋮ Approximate symmetries of planar algebraic curves with inexact input ⋮ Computing projective equivalences of planar curves birationally equivalent to elliptic and hyperelliptic curves ⋮ On curves with affine-congruent arcs in an \(n \)-dimensional affine space ⋮ Computing projective equivalences of special algebraic varieties ⋮ A new method to detect projective equivalences and symmetries of rational \(3 D\) curves ⋮ Detecting affine equivalences between implicit planar algebraic curves

Uses Software

• SageMath

Cites Work

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