Differential Signatures of Algebraic Curves

DOI10.1137/19M1242859zbMath1445.14051arXiv1812.11388OpenAlexW3012290615WikidataQ114615469 ScholiaQ114615469MaRDI QIDQ4959844

Irina A. Kogan, Cynthia Vinzant, Michael G. Ruddy

Publication date: 7 April 2020

Published in: SIAM Journal on Applied Algebra and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.11388

zbMATH Keywords

algebraic curvessignaturesdifferential invariantsFermat curvesprojective actionEuclidean actionaffine actionequivalence classes of curvesclassifying invariants

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Geometric invariant theory (14L24) Plane and space curves (14H50) Computational aspects of algebraic curves (14Q05) Differential invariants (local theory), geometric objects (53A55)

Related Items

Signatures of algebraic curves via numerical algebraic geometry ⋮ The moving-frame method for the iterated-integrals signature: orthogonal invariants ⋮ Invariants: Computation and Applications ⋮ Closed 1/2-elasticae in the hyperbolic plane ⋮ Complete \({\boldsymbol{SE(3)}}\) Invariants for a Comeagre Set of \({\boldsymbol{C^3}}\) Compact Orientable Surfaces in \(\mathbb{R}^{\boldsymbol{3}}\) ⋮ On the total CR twist of transversal curves in the 3-sphere ⋮ Differential Signatures of Algebraic Curves

Uses Software

• Bertini

Cites Work

• Object-image correspondence for algebraic curves under projections
• Extensions of invariant signatures for object recognition
• Computational invariant theory. With two appendices by Vladimir L. Popov and an addendum by Nobert A. Campo and Vladimir L. Popov
• Global Lie-Tresse theorem
• Smooth and algebraic invariants of a group action: Local and global constructions
• Invariant signatures of closed planar curves
• Moving coframes. II: Regularization and theoretical foundations
• Algebraic geometry I: algebraic curves, algebraic manifolds and schemes. Transl. from the Russian by D. Coray and V. N. Shokurov
• Algebraic geometry IV: linear algebraic groups, invariant theory. Transl. from the Russian by G.A. Kandall
• Symmetries of polynomials
• Moving frames and singularities of prolonged group actions
• Numerically invariant signature curves
• The group of automorphisms of the Fermat curve
• Euclidean signature curves
• Joint differential invariants of binary and ternary forms
• Automatic solution of jigsaw puzzles
• Rational invariants of a group action. Construction and rewriting
• Two Algorithms for a Moving Frame Construction
• Applications of Signatures Curves to Characterize Melanomas and Moles
• Differential Signatures of Algebraic Curves
• Basic Algebraic Geometry 1
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item