Global invariants of paths and curves for the group of all linear similarities in the two-dimensional Euclidean space
From MaRDI portal
Publication:4641534
DOI10.1142/S0219887818500925zbMath1439.53003OpenAlexW2786957701MaRDI QIDQ4641534
Ömer Pekşen, İdris Ören, Djavvat Khadjiev
Publication date: 17 May 2018
Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219887818500925
Curves in Euclidean and related spaces (53A04) Differential invariants (local theory), geometric objects (53A55) Euclidean geometries (general) and generalizations (51M05)
Related Items (5)
Global Invariants of Objects in two-Dimensional Minkowski Space ⋮ Recognition of complex polynomial Bezier curves under similarity transformations ⋮ Recognition of plane paths and plane curves under linear pseudo-similarity transformations ⋮ Recognition of Paths and Curves in the 2-Dimensional Euclidean Geometry ⋮ Identifications of paths and curves under the plane similarity transformations and their applications to mechanics
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A group model of form recognition under plane similarity transformations
- Using invariance under the similarity group to solve geometric constraint systems
- On invariants of null curves in the pseudo-Euclidean geometry
- Similar Frenet curves
- Symplectic invariants for curves and integrable systems in similarity symplectic geometry
- The complete system of global differential and integral invariants of a curve in Euclidean geometry
- Similarity methods for differential equations
- Integrable equations arising from motions of plane curves. II.
- Motions of curves in similarity geometries and Burgers-mKdV hierarchies
- A mental space similarity group model of shape constancy.
- Log-aesthetic curves and Riccati equations from the viewpoint of similarity geometry
- SIMILAR AND SELF-SIMILAR CURVES IN MINKOWSKI n-SPACE
- Computer Algebra and Geometric Algebra with Applications
- Geometry. I, II. Transl. from the French by M. Cole and S. Levy
- Integrable equations arising from motions of plane curves
This page was built for publication: Global invariants of paths and curves for the group of all linear similarities in the two-dimensional Euclidean space