Fairing of discrete planar curves by discrete Euler's elasticae
Fairing of discrete planar curves by discrete Euler's elasticae
After characterizing the integrable discrete analogue of the Euler's elastica, we focus our attention on the problem of approximating a given discrete planar curve by an appropriate discrete Euler's elastica. We carry out the fairing process via a $L^2\!$-distance minimization to avoid the numerical instabilities. The optimization problem is solved …