Exact and approximate similarities of non-necessarily rational planar, parametrized curves, using centers of gravity and inertia tensors

DOI10.1142/S0218196721500284zbMath1469.14114OpenAlexW3176503512WikidataQ114072946 ScholiaQ114072946MaRDI QIDQ5002188

Emily Quintero, Juan Gerardo Alcázar

Publication date: 27 July 2021

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196721500284

zbMATH Keywords

algorithmshape recognitionsimilarity detectionapproximate methods in geometrycomputational methods in geometry

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Computational aspects of algebraic curves (14Q05) Computational issues in computer and robotic vision (65D19)

Related Items (1)

Symmetries of discrete curves and point clouds via trigonometric interpolation

Uses Software

• CASA

Cites Work

• Unnamed Item
• Unnamed Item
• Affine equivalences of trigonometric curves
• Classification of curves in 2D and 3D via affine integral signatures
• Pythagorean-hodograph curves. Algebra and geometry inseparable
• Rational algebraic curves. A computer algebra approach
• Approximate GCD and its application to ill-conditioned algebraic equations
• Algorithms for trigonometric curves (simplification, implicitization, parameterization)
• On approximate GCDs of univariate polynomials
• A fast and numerically stable Euclidean-like algorithm for detecting relatively prime numerical polynomials
• Projective and affine symmetries and equivalences of rational curves in arbitrary dimension
• Projective and affine symmetries and equivalences of rational and polynomial surfaces
• Computation of approximate polynomial GCDs and an extension
• Numerically invariant signature curves
• A geometrical approach to finding multivariate approximate LCMs and GCDs
• Detecting similarity of rational plane curves
• Affine equivalences, isometries and symmetries of ruled rational surfaces
• Approximate symmetries of planar algebraic curves with inexact input
• Computing projective equivalences of special algebraic varieties
• Symmetries and similarities of planar algebraic curves using harmonic polynomials
• The numerical greatest common divisor of univariate polynomials
• A Brief on Tensor Analysis

This page was built for publication: Exact and approximate similarities of non-necessarily rational planar, parametrized curves, using centers of gravity and inertia tensors