Bonn Mathematics

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11 to 16 of 16 Results

Numerical calculation for persistence probability of Airy1 process Feb 16, 2024 Ferrari, Patrik; Liu, Min, 2024, "Numerical calculation for persistence probability of Airy1 process", https://doi.org/10.60507/FK2/ANX3PQ, bonndata, V1 Via Bornemann's method (arxiv: 0804.2543), we provide a numerical calculation for persistence probability of Airy1 process.
Implementation of Finite Element Approximation of Large-Scale Isometric Deformations of Parametrized Surfaces Jan 4, 2024 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 proble...
An Implementation of Nonlinear Discrete Shell Energies Dec 13, 2023 Heeren, Behrend; Sassen, Josua, 2023, "An Implementation of Nonlinear Discrete Shell Energies", https://doi.org/10.60507/FK2/YMRPMF, bonndata, V1 This C++ package provides a easy way to use nonlinear discrete shell deformation energies for triangle meshes described by Eigen matrices as used, for example, by libigl. Furthermore, it provides convenient interfaces for MATLAB (gptoolbox) and Python (libigl).
Replication Data for: Improved guarantees for the a priori TSP Sep 20, 2023 Blauth, Jannis; Neuwohner, Meike; Puhlmann, Luise; Vygen, Jens, 2023, "Replication Data for: Improved guarantees for the a priori TSP", https://doi.org/10.60507/FK2/JCUIRI, bonndata, V1 Dual linear programming solutions and Python scripts that verify their feasibility. The dual linear programs for which feasible solutions are provided can be found in the provided README files. The linear programming solutions yield upper bounds on the approximability of the a pr...
Implementation of An Elastic Basis for Spectral Shape Correspondence Jun 30, 2023 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.
The Freaky Torus Jun 29, 2023 Sassen, Josua; Hildebrandt, Klaus; Rumpf, Martin; Wirth, Benedikt, 2023, "The Freaky Torus", https://doi.org/10.60507/FK2/LORXU7, bonndata, V1 This dataset contains the Python code to compute samples on our shape space Freaky Torus of deformed tori, a synthetic shape space with factors S¹×S¹×T² The first factor, an S¹, controls the deformation of the latitudinal cross-section into a rotated ellipse. The next factor, ano...

Numerical calculation for persistence probability of Airy1 process

Feb 16, 2024

Ferrari, Patrik; Liu, Min, 2024, "Numerical calculation for persistence probability of Airy1 process", https://doi.org/10.60507/FK2/ANX3PQ, bonndata, V1

Via Bornemann's method (arxiv: 0804.2543), we provide a numerical calculation for persistence probability of Airy1 process.

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

Jan 4, 2024

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 proble...

An Implementation of Nonlinear Discrete Shell Energies

Dec 13, 2023

Heeren, Behrend; Sassen, Josua, 2023, "An Implementation of Nonlinear Discrete Shell Energies", https://doi.org/10.60507/FK2/YMRPMF, bonndata, V1

This C++ package provides a easy way to use nonlinear discrete shell deformation energies for triangle meshes described by Eigen matrices as used, for example, by libigl. Furthermore, it provides convenient interfaces for MATLAB (gptoolbox) and Python (libigl).

Replication Data for: Improved guarantees for the a priori TSP

Sep 20, 2023

Blauth, Jannis; Neuwohner, Meike; Puhlmann, Luise; Vygen, Jens, 2023, "Replication Data for: Improved guarantees for the a priori TSP", https://doi.org/10.60507/FK2/JCUIRI, bonndata, V1

Dual linear programming solutions and Python scripts that verify their feasibility. The dual linear programs for which feasible solutions are provided can be found in the provided README files. The linear programming solutions yield upper bounds on the approximability of the a pr...

Implementation of An Elastic Basis for Spectral Shape Correspondence

Jun 30, 2023

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.

The Freaky Torus

Jun 29, 2023

Sassen, Josua; Hildebrandt, Klaus; Rumpf, Martin; Wirth, Benedikt, 2023, "The Freaky Torus", https://doi.org/10.60507/FK2/LORXU7, bonndata, V1

This dataset contains the Python code to compute samples on our shape space Freaky Torus of deformed tori, a synthetic shape space with factors S¹×S¹×T² The first factor, an S¹, controls the deformation of the latitudinal cross-section into a rotated ellipse. The next factor, ano...

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