Detecting similarities of rational plane curves using complex differential invariants

DOI10.1142/s0218196723500686OpenAlexW4389579579MaRDI QIDQ6195304

Hüsnü Anıl Çoban

Publication date: 13 March 2024

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

Full work available at URL: https://doi.org/10.1142/s0218196723500686

zbMATH Keywords

symmetryinvariantssimilarityrational curve

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Computational aspects of algebraic curves (14Q05) Differential invariants (local theory), geometric objects (53A55)

Cites Work

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• Rational algebraic curves. A computer algebra approach
• On the construction of complete sets of geometric invariants for algebraic curves
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• A new method to detect projective equivalences and symmetries of rational \(3 D\) curves
• \(LS(3)\)-equivalence conditions of control points and application to spatial Bézier curves and surfaces
• Detecting similarity of rational plane 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
• The problem of detecting when two implicit plane algebraic curves are similar

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