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Isogonal Deformation of Discrete Plane Curves and Discrete Burgers Hierarchy by Kajiwara, Kenji; Kuroda, Toshinobu; Matsuura, Nozomu is a scholarly article available to read on EtoBox.

What is Isogonal Deformation of Discrete Plane Curves and Discrete Burgers Hierarchy about?

We study deformations of plane curves in the similarity geometry. It is known that continuous deformations of smooth curves are described by the Burgers hierarchy. In this paper, we formulate the discrete deformation of discrete plane curves described by the discrete Burgers hierarchy as isogonal deformations. We also construct explicit formulas for the curve deformations by using the solution of linear diffusion differential/difference equations.

Author

Kajiwara, Kenji; Kuroda, Toshinobu; Matsuura, Nozomu

Published

2015

Language

EN