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Fast numerical schemes related to curvature minimization: a brief and elementary review
Xue-Cheng Tai1
1 Department of Mathematics University of Bergen, Bergen, Norway
Actes des rencontres du CIRM, Volume 3 (2013) no. 1, pp. 17-30.

We will treat variational models that use Euler’s elastica and related higher order derivatives as regularizers. These models normally lead to higher order partial differential equations with complicated nonlinearities. It is difficult to solve these equations numerically. Recently, some fast numerical techniques have been proposed that can solve these equations with very good numerical speed. We will try to explain the essential ideas of these numerical techniques and point to some central implementation details for these algorithms.

Published online:
DOI: 10.5802/acirm.52
Classification: 00X99
Keywords: variaitonal models, curvature minimization, Augmented Lagrangian methods
Xue-Cheng Tai 1

1 Department of Mathematics University of Bergen, Bergen, Norway 
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Xue-Cheng Tai. Fast numerical schemes related to curvature minimization: a brief and elementary review. Actes des rencontres du CIRM, Volume 3 (2013) no. 1, pp. 17-30. doi : 10.5802/acirm.52. https://acirm.centre-mersenne.org/articles/10.5802/acirm.52/

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