Numerical aspects of evolution of plane curves satisfying the fourth order geometric equation
Karol Mikula, Daniel Sevcovic
TL;DR
This paper reviews a stable numerical method for simulating the evolution of plane curves governed by a complex fourth order geometric equation, providing computational techniques and illustrative examples.
Contribution
It introduces a stable Lagrangian numerical scheme specifically designed for fourth order geometric curve evolution equations.
Findings
The numerical method is stable and effective for simulating curve evolution.
Computational examples demonstrate the scheme's applicability.
The paper provides insights into the numerical treatment of high-order geometric PDEs.
Abstract
In this review paper we present a stable Lagrangian numerical method for computing plane curves evolution driven by the fourth order geometric equation. The numerical scheme and computational examples are presented.
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Taxonomy
TopicsAdvanced Numerical Analysis Techniques · Computer Graphics and Visualization Techniques · 3D Shape Modeling and Analysis