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Implementation of Finite Element Approximation of Large-Scale Isometric Deformations of Parametrized Surfaces Jan 4, 2024 - Bonn Mathematics Smoch, Christoph; Simon, Stefan; Rumpf, Martin, 2024, "Implementation of Finite Element Approximation of Large-Scale Isometric Deformations of Parametrized Surfaces", https://doi.org/10.60507/FK2/KZHXDF, bonndata, V1 This is an implementation of the finite element approximation of large-scale isometric deformations of parametrized surfaces using the Discrete Kirchhoff Triangle (DKT) Finite Element, together with a point-wise nonlinear isometry constraint. The solution of this nonlinear problem is obtained by Newton's method from the IPOPT library.
Implementation of An Elastic Basis for Spectral Shape Correspondence Jun 30, 2023 - Bonn Mathematics Hartwig, Florine; Sassen, Josua; Azencot, Omri; Rumpf, Martin; Ben Chen, Mirela, 2023, "Implementation of An Elastic Basis for Spectral Shape Correspondence", https://doi.org/10.60507/FK2/DXOEHJ, bonndata, V1 An implementation of a spectral non-isometric correspondence method that aligns extrinsic features using a functional map approach. To this end, we propose and use a novel crease-aware spectral basis derived from the Hessian of an elastic thin shell energy.

Implementation of Finite Element Approximation of Large-Scale Isometric Deformations of Parametrized Surfaces

Jan 4, 2024 - Bonn Mathematics

Smoch, Christoph; Simon, Stefan; Rumpf, Martin, 2024, "Implementation of Finite Element Approximation of Large-Scale Isometric Deformations of Parametrized Surfaces", https://doi.org/10.60507/FK2/KZHXDF, bonndata, V1

This is an implementation of the finite element approximation of large-scale isometric deformations of parametrized surfaces using the Discrete Kirchhoff Triangle (DKT) Finite Element, together with a point-wise nonlinear isometry constraint. The solution of this nonlinear problem is obtained by Newton's method from the IPOPT library.

Implementation of An Elastic Basis for Spectral Shape Correspondence

Jun 30, 2023 - Bonn Mathematics

Hartwig, Florine; Sassen, Josua; Azencot, Omri; Rumpf, Martin; Ben Chen, Mirela, 2023, "Implementation of An Elastic Basis for Spectral Shape Correspondence", https://doi.org/10.60507/FK2/DXOEHJ, bonndata, V1

An implementation of a spectral non-isometric correspondence method that aligns extrinsic features using a functional map approach. To this end, we propose and use a novel crease-aware spectral basis derived from the Hessian of an elastic thin shell energy.

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