Papers
The list of papers can be also viewed in the following links.
- 2024
- Park, Y., Song, C. H., T., Hahn, J., Kang., M, ReSDF: Redistancing implicit surfaces using neural networks, Journal of Computational Physics, v502, 112803, 2024. DOI: 10.1016/j.jcp.2024.112803
- Hahn, J., Mikula, K., Frolkovič, P., Laplacian regularized eikonal equation with Soner boundary condition on polyhedral meshes, Computers & Mathematics with Applications, v156, pp. 74-86, 2024. DOI: 10.1016/j.camwa.2023.12.016
- 2023
- Park, Y., Lee, T., Hahn, J., Kang., M, p-Poisson surface reconstruction in curl-free flow from point clouds, Thirty-seventh Conference on Neural Information Processing Systems, 2023. Paper Link Open Review
- Park, Y., Song, C. H., Hahn, J. Kang, M., ReSDF: Redistancing Implicit Surfaces using Neural Networks, arXiv:2305.081744, 2023. DOI: 10.48550/arXiv.2305.08174
- Hahn, J., Mikula, K., Frolkovič, P., Priesching, P., Balažovjech, M., Basara, B., Second-order accurate finite volume method for G-equation on polyhedral meshes, Japan Journal of Industrial and Applied Mathematics, 2023. DOI: 10.1007/s13160-023-00574-x
- Hahn, J., Mikula, K., Frolkovič, Laplacian regularized eikonal equation with Soner boundary condition on polyhedral meshes, arXiv:2301.11656, 2023. DOI: 10.48550/arXiv.2301.11656
- 2022
- Hahn, J., Mikula, K., Frolkovič, P., Basara, B., Finite volume method with the Soner boundary condition for computing the signed distance function on polyhedral meshes, International Journal for Numerical Methods in Engineering, 2022, 123(4), pp. 1057-1077. DOI: 10.1002/nme.6888
- 2021
- Frolkovič, P., Mikula, K., Hahn, J., Martin, D., Basara, B., Flux balanced approximation with least-squares gradient for diffusion equation on polyhedral mesh, Discrete and Continuous Dynamical Systems - Series S, 2021, 14(3), pp. 865-879. DOI: 10.3934/dcdss.2020350
- 2020
- Pyszczek, R., Hahn, J., Priesching, P., Teodorczyk, A., Numerical Modeling of Spark Ignition in Internal Combustion Engines, Journal of Energy Resources Technology, Transactions of the ASME, 2020, 142(2), 022202 EN. DOI: 10.1115/1.4044222
- Hahn, J., Mikula, K., Frolkovič, P., Balažovjech, M., Basara, B., Cell-centered finite volume method for regularized mean curvature flow on polyhedral meshes, In: Klöfkorn, R., Keilegavlen, E., Radu, F.A., Fuhrmann, J. (eds) Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples. FVCA 2020, Springer Proceedings in Mathematics & Statistics, vol 323, Springer, Cham, pp. 755-763. DOI: 10.1007/978-3-030-43651-3_72
- 2019
- Hahn, J., Mikula, K., Frolkovič, P., Medl'a, M., Basara, B., Iterative inflow-implicit outflow-explicit finite volume scheme for level-set equations on polyhedron meshes, Computers and Mathematics with Applications, 2019, 77(6), pp. 1639-1654. DOI: 10.1016/j.camwa.2018.06.033
- 2017
- Hahn, J., Mikula, K., Frolkovič, P., Basara, B., Inflow-Based Gradient Finite Volume Method for a Propagation in a Normal Direction in a Polyhedron Mesh, Journal of Scientific Computing, 2017, 72, pp. 442-465. DOI: 10.1007/s10915-017-0364-4
- Hahn, J., Mikula, K., Frolkovič, P., Basara, B., Semi-implicit level set method with inflow-based gradient in a polyhedron mesh, In: Cancès, C., Omnes, P. (eds) Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems. FVCA 2017, Springer Proceedings in Mathematics & Statistics, vol 200. Springer, Cham, pp. 81-89. DOI: 10.1007/978-3-319-57394-6_9
- 2014
- Hintermüller, M., Rautenberg, C.N., Hahn, J., Functional-analytic and numerical issues in splitting methods for total variation-based image reconstruction, Inverse Problems, 2014, 30(5), 055014. DOI: 10.1088/0266-5611/30/5/055014
- 2013
- Duan, Y., Wang, Y., Hahn, J., A fast augmented Lagrangian method for Euler's elastica models, Numerical Mathematics: Theory, Methods and Applications, 2013, 6(1), pp. 47-71. DOI: 10.4208/nmtma.2013.mssvm03
- Hahn, J., Qiu, J., Sugisaki, E., Jia, L., Tai, X.-C., Seah, H.S., Stroke-based surface reconstruction, Numerical Mathematics: Theory, Methods and Applications, 2013, 6(1), pp. 297-324. DOI: 10.4208/nmtma.2013.mssvm16
- 2012
- Duan, Y., Wang, Y., Tai, X.-C., Hahn, J., A fast augmented Lagrangian method for Euler's elastica model, In: Bruckstein, A.M., ter Haar Romeny, B.M., Bronstein, A.M., Bronstein, M.M. (eds) Scale Space and Variational Methods in Computer Vision, Lecture Notes in Computer Science, vol 6667, Springer, Berlin, Heidelberg, pp. 144-156. DOI: 10.1007/978-3-642-24785-9_13
- Hahn, J., Wu, C., Tai, X.-C., Augmented Lagrangian method for generalized TV-stokes model, Journal of Scientific Computing, 2012, 50, pp. 235-264. DOI: 10.1007/s10915-011-9482-6
- Hahn, J., Chung, G.J., Wang, Y., Tai, X.-C., Fast algorithms for p-elastica energy with the application to image inpainting and curve reconstruction, In: Bruckstein, A.M., ter Haar Romeny, B.M., Bronstein, A.M., Bronstein, M.M. (eds) Scale Space and Variational Methods in Computer Vision, Lecture Notes in Computer Science, vol 6667, Springer, Berlin, Heidelberg, pp. 169-182. DOI: 10.1007/978-3-642-24785-9_15
- 2011
- Hahn, J., Tai, X.-C., Borok, S., Bruckstein, A.M., Orientation-matching minimization for image denoising and inpainting, International Journal of Computer Vision, 2011, 92, pp. 308-324. DOI: 10.1007/s11263-010-0371-5
- Tai, X.-C., Hahn, J., Chung, G.J., A Fast Algorithm for Euler's Elastica Model Using Augmented Lagrangian Method, SIAM Journal on Imaging Sciences, 2011, 4(1)}, pp. 313-344. DOI: 10.1137/100803730
- 2010
- Hahn, J., Lee, C.-O., Geometric attraction-driven flow for image segmentation and boundary detection, Journal of Visual Communication and Image Representation, 2010, 21(1), pp. 56-66. DOI: 10.1016/j.jvcir.2009.10.005
- 2009
- Hahn, J., Lee, C.-O., A nonlinear structure tensor with the diffusivity matrix composed of the image gradient, Journal of Mathematical Imaging and Vision, 2009, 34, pp. 137-151. DOI: 10.1007/s10851-009-0138-1
- Tai, X.-C., Borok, S., Hahn, J., Image denoising using TV-stokes equation with an orientation-matching minimization, In: Tai, X.-C., Mørken, K., Lysaker, M., Lie, K.A. (eds) Scale Space and Variational Methods in Computer Vision, Lecture Notes in Computer Science, vol 5567, Springer, Berlin, Heidelberg, pp. 490-501. DOI: 10.1007/978-3-642-02256-2_41
- 2008
- Kwon, M.J., Hahn, J., Park, H., A fast spherical inflation method of the cerebral cortex by deformation of a simplex mesh on the polar coordinates, International Journal of Imaging Systems and Technology, 2008, 18, pp. 9-16. DOI: 10.1002/ima.20140
- 2007
- Lee, C.-O., Jeon, K., Ha, Y., Hahn, J., A variational approach to blending based on warping for non-overlapped images, Computer Vision and Image Understanding, 2007, 105(2), pp. 112-120. DOI: 10.1016/j.cviu.2006.09.001
- 2006
- Lee, S.-H., Seo, J.K., Park, C., Lee, B.I., Woo, E.J., Lee, S.Y., Kwon, O., Hahn, J., Conductivity image reconstruction from defective data in MREIT: Numerical simulation and animal experiment, IEEE Transactions on Medical Imaging, 2006, 25(2), pp. 168-176. DOI: 10.1109/TMI.2005.862150