Computing symmetries of implicit algebraic surfaces

DOI10.1016/j.cagd.2023.102221zbMath1522.14074MaRDI QIDQ6170357

Jan Vršek, Juan Gerardo Alcázar, Miroslav Lávička

Publication date: 12 July 2023

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

zbMATH Keywords

vector fieldhomogeneous polynomialalgebraic surfacesymmetry detection

Mathematics Subject Classification ID

Computational aspects of algebraic surfaces (14Q10)

Cites Work

• Determining surfaces of revolution from their implicit equations
• Rotations, translations and symmetry detection for complexified curves
• Affine equivalences of trigonometric curves
• Involutions of polynomially parametrized surfaces
• Projective and affine symmetries and equivalences of rational curves in arbitrary dimension
• Projective and affine symmetries and equivalences of rational and polynomial surfaces
• Projective isomorphisms between rational surfaces
• Rotational symmetry detection in 3D using reflectional symmetry candidates and quaternion-based rotation parameterization
• Recognizing algebraic affine rotation surfaces
• Approximate symmetries of planar algebraic curves with inexact input
• Computing projective equivalences of special algebraic varieties
• Symmetry detection of rational space curves from their curvature and torsion
• Symmetries and similarities of planar algebraic curves using harmonic polynomials
• Symmetries of discrete curves and point clouds via trigonometric interpolation
• Harmonic Function Theory

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