Cover Image

A new class of aesthetic curves based on the self-affinity in equiaffine geometry

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Kumagai, Shun, Kajiwara, Kenji
Format:	Preprint
Published:	2025
Subjects:	Differential Geometry 53A04, 93B51, 65D18
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Self-affinities of planar curves: towards unified description of aesthetic curves
by: Kumagai, Shun, et al.
Published: (2024)

Directional Mollification for Knot-Preserving $C^{\infty}$ Smoothing of Polygonal Chains with Explicit Curvature Bounds
by: González-Calvin, Alfredo, et al.
Published: (2026)

Application of complex-valued functions in plane differential geometry and kinematics
by: Bäsel, Uwe
Published: (2023)

A comprehensive analysis of the Snellius-Pothenot problem
by: Nikitenko, Evgenii, et al.
Published: (2026)

Dynamic constructions of hyperbolisms of plane curves: an automated exploration of geometric loci
by: Dana-Picard, Thierry
Published: (2024)

Constant curvature curves in dual affine and dual Lorentz-Minkowski planes
by: Aydın, Muhittin Evren, et al.
Published: (2025)

Caustics of a Paraboloid and Apollonius Problem
by: Aliyev, Yagub N.
Published: (2024)

A necessary condition for cylindrical curves in terms of curvature and torsion
by: López, Rafael
Published: (2026)

Differential geometry of space curves: Forgotten chapters
by: Fuchs, Dmitry, et al.
Published: (2022)

On face angles of tetrahedra with a given base
by: Nikitenko, E. V., et al.
Published: (2025)

A note on helices in the Euclidean space and in the hyperbolic space
by: López, Rafael
Published: (2025)

A fourth-order area-preserving curve flow in centro-equiaffine geometry
by: Jiang, Xinjie, et al.
Published: (2026)

Minimal total absolute curvature for equiaffine immersions
by: Yamauchi, Yuta
Published: (2026)

Geometric properties of rotation minimizing vector fields along curves in Riemannian manifolds
by: Etayo, Fernando
Published: (2016)

Singular minimal surfaces with constant curvature
by: López, Rafael
Published: (2025)

Curves in Riemannian Manifolds Making Prescribed Angles With Torse-Forming Vector Fields
by: Aydin, Muhittin Evren, et al.
Published: (2026)

Counting normals to closed curves in $\mathbb{R}^3$
by: Panina, Gaiane, et al.
Published: (2026)

What is differential geometry: curves and surfaces
by: Petrunin, Anton, et al.
Published: (2020)

A translation of "What is differential geometry: curves and surfaces"
by: Petrunin, Anton, et al.
Published: (2026)

The Harnack inequality without convexity for curve shortening flow
by: Sobnack, Arjun, et al.
Published: (2026)

A Characterization of Curves that Lie on a Totally Umbilical Surface of a Space Form
by: López, Rafael
Published: (2024)

The total absolute curvature of closed curves with singularities
by: Honda, Atsufumi, et al.
Published: (2024)

Generalized Bishop frames of regular time-like curves in 4-dimensional Lorentz space $\mathbb{L}^{4}$
by: Nomoto, Subaru
Published: (2025)

Rotational Weingarten surfaces in Lorentz-Minkowski space
by: Carretero, Paula, et al.
Published: (2025)

Piecewise flat Ricci flow of compact without boundary three-manifolds
by: Conboye, Rory
Published: (2018)

On length-preserving and area-preserving inverse curvature flow of planar curves with singularities
by: Yang, Yunlong, et al.
Published: (2024)

Centro-affine normal flows on curves: Harnack estimates and Ancient solutions
by: Ivaki, Mohammad N.
Published: (2012)

A generalization of the notion of helix
by: Lucas, Pascual, et al.
Published: (2026)

A Spiral Bicycle Track that Can Be Traced by a Unicycle
by: Wagon, Stan
Published: (2025)

An explicit construction of Kaleidocycles by elliptic theta functions
by: Kaji, Shizuo, et al.
Published: (2023)

Metric polynomial structures on generalized geometry
by: Etayo, Fernando, et al.
Published: (2022)

Stationaere Kurven auf endlichdimensionalen Mannigfaltigkeiten
by: Starke, Tobias
Published: (2026)

Cusps of caustics by reflection in ellipses
by: Bor, Gil, et al.
Published: (2024)

Visualization of curvature on curve and surface by tangential angle parametrization
by: Kabata, Yutaro, et al.
Published: (2025)

Curves and surfaces making a constant angle with a parallel transported direction in Riemannian spaces
by: da Silva, Luiz C. B., et al.
Published: (2024)

A property that characterizes the Enneper surface and helix surfaces
by: Lucas, Pascual, et al.
Published: (2026)

Elastic curves and self-intersections
by: Miura, Tatsuya
Published: (2024)

Extension of a problem of Euler in $\mathbb{H}^2$ and in $\mathbb{S}^2$
by: Aydin, Muhittin Evren, et al.
Published: (2025)

Heintze-Karcher and Reverse Alexandrov-Fenchel Inequalities via Focal Geometry
by: Kwong, Kwok-kun, et al.
Published: (2026)

Concircular hypersurfaces and concircular helices in space forms
by: Lucas, Pascual, et al.
Published: (2026)