Approximate symmetries of planar algebraic curves with inexact input

DOI10.1016/j.cagd.2019.101794zbMath1436.14097OpenAlexW2987507782WikidataQ126831158 ScholiaQ126831158MaRDI QIDQ2301238

Michal Bizzarri, Miroslav Lávička, Jan Vršek

Publication date: 24 February 2020

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

Full work available at URL: http://hdl.handle.net/11025/36865

zbMATH Keywords

algorithmapproximationsymmetry detectionplanar algebraic curvesmatrix complex representation

Mathematics Subject Classification ID

Computational aspects of algebraic curves (14Q05) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (5)

Symmetries of discrete curves and point clouds via trigonometric interpolation ⋮ Computing symmetries of implicit algebraic surfaces ⋮ Exact and approximate similarities of non-necessarily rational planar, parametrized curves, using centers of gravity and inertia tensors ⋮ A new method to detect projective equivalences and symmetries of rational \(3 D\) curves ⋮ Detecting affine equivalences between implicit planar algebraic curves

Cites Work

• Detecting symmetries of rational plane and space curves
• Rotations, translations and symmetry detection for complexified curves
• Pose estimation and object identification using complex algebraic representations
• Testing congruence and symmetry for general 3-dimensional objects.
• Detecting similarity of rational plane curves
• Efficient detection of symmetries of polynomially parametrized curves
• Computing projective equivalences of special algebraic varieties
• Similarity detection of rational space curves
• Symmetry detection of rational space curves from their curvature and torsion
• Symmetries and similarities of planar algebraic curves using harmonic polynomials

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