2 papers
math.DG2025
The Klein-Lie W-curves as a new class of aesthetic curves based on self-affinity
Shun Kumagai, Kenji Kajiwara
In this paper, we consider planar curves and present a family of planar curves characterized by a symmetry called the extendable self-affinity (ESA). The ESA has been recognized th…
math.DG2024
Self-affinities of planar curves: towards unified description of aesthetic curves
Shun Kumagai, Kenji Kajiwara
In this paper, we consider the self-affinity of planar curves. It is regarded as an important property to characterize the log-aesthetic curves which have been studied as reference…