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Seminars

Discrete Euler’s elastica – characterization and application.

Hold Date
2018-10-19 16:00〜2018-10-19 17:00
Place
Lecture Room L W1-C-502, West Zone 1, Ito campus, Kyushu University
Object person
 
Speaker
Sebastián Graiff-Zurita (Graduate School of Mathematics, Kyushu University)

Abstract:
After characterizing the discrete Euler’s elastica proposed by Sogo (“Variational discretization of Euler’s Elastica problem”, 2006), we consider the problem of approximating a given discrete plane curve by an appropriate discrete Euler’s elastica, according to a suitable criteria. We have decided to do the approximation process via a L2-distance minimization, because other approaches presented numerical instabilities. The optimization problem was solved via a gradient-driven optimization method (IPOPT). This optimization problem is non-convex and the result strongly depends on the initial guess. So, we have decided to discretize the algorithm provided by Brander et al. (“Approximation by planar elastic curves”, 2016), which gives an initial guess to the IPOPT method.