Papers
The list of papers can be also viewed in the following links.
- 2024
- Y. Park, C. H. Song, J. Hahn, and M. Kang, "ReSDF: Redistancing implicit surfaces using neural networks," Journal of Computational Physics, vol. 502, 112803, 2024. DOI: 10.1016/j.jcp.2024.112803 (Research Highlights)
- J. Hahn, K. Mikula, P. Frolkovič, "Laplacian regularized eikonal equation with Soner boundary condition on polyhedral meshes," Computers & Mathematics with Applications, vol. 156, pp. 74-86, 2024. DOI: 10.1016/j.camwa.2023.12.016 (Research Highlights)
- 2023
- Y. Park, T. Lee, J. Hahn, M. Kang, "p-Poisson surface reconstruction in curl-free flow from point clouds," in Thirty-Seventh Conference on Neural Information Processing Systems, 2023. Paper Link Open Review (Research Highlights)
- Y. Park, C. H. Song, J. Hahn, M. Kang, "ReSDF: Redistancing Implicit Surfaces Using Neural Networks," arXiv preprint arXiv:2305.08174, 2023. DOI: 10.48550/arXiv.2305.08174 (Research Highlights)
- J. Hahn, K. Mikula, P. Frolkovič, P. Priesching, M. Balažovjech, B. Basara, "Second-order accurate finite volume method for G-equation on polyhedral meshes," Japan Journal of Industrial and Applied Mathematics, vol. 40, pp. 1053-1082, 2023. DOI: 10.1007/s13160-023-00574-x (Research Highlights)
- J. Hahn, K. Mikula, and P. Frolkovič, "Laplacian regularized eikonal equation with soner boundary condition on polyhedral meshes," arXiv preprint arXiv:2301.11656, 2023. DOI: 10.48550/arXiv.2301.11656 (Research Highlights)
- 2022
- J. Hahn, K. Mikula, P. Frolkovič, and B. Basara, "Finite volume method with the Soner boundary condition for computing the signed distance function on polyhedral meshes," International Journal for Numerical Methods in Engineering, vol. 123, no. 4, pp. 1057-1077, 2022. DOI: 10.1002/nme.6888 (Research Highlights)
- 2021
- P. Frolkovič, K. Mikula, J. Hahn, D. Martin, and B. Basara, "Flux balanced approximation with least-squares gradient for diffusion equation on polyhedral mesh," Discrete and Continuous Dynamical Systems - Series S, vol. 14, no. 3, pp. 865-879, 2021. DOI: 10.3934/dcdss.2020350 (Research Highlights)
- 2020
- R. Pyszczek, J. Hahn, P. Priesching, and A. Teodorczyk, "Numerical modeling of spark ignition in internal combustion engines," Journal of Energy Resources Technology, Transactions of the ASME, vol. 142, no. 2, Art. no. 022202 EN, 2020. DOI: 10.1115/1.4044222 (Research Highlights)
- J. Hahn, K. Mikula, P. Frolkovič, M. Balažovjech, and B. Basara, "Cell-centered finite volume method for regularized mean curvature flow on polyhedral meshes," in Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples. FVCA 2020, R. Klöfkorn, E. Keilegavlen, F.A. Radu, and J. Fuhrmann, Eds. Cham, Switzerland: Springer, 2020, vol. 323, pp. 755-763. DOI: 10.1007/978-3-030-43651-3_72 (Research Highlights)
- 2019
- J. Hahn, K. Mikula, P. Frolkovič, M. Medl'a, and B. Basara, "Iterative inflow-implicit outflow-explicit finite volume scheme for level-set equations on polyhedron meshes," Computers and Mathematics with Applications, vol. 77, no. 6, pp. 1639-1654, 2019. DOI: 10.1016/j.camwa.2018.06.033 (Research Highlights)
- 2017
- J. Hahn, K. Mikula, P. Frolkovič, and B. Basara, "Inflow-based gradient finite volume method for a propagation in a normal direction in a polyhedron mesh," Journal of Scientific Computing, vol. 72, pp. 442-465, 2017. DOI: 10.1007/s10915-017-0364-4 (Research Highlights)
- J. Hahn, K. Mikula, P. Frolkovič, and B. Basara, "Semi-implicit level set method with inflow-based gradient in a polyhedron mesh," in Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems. FVCA 2017, C. Cancès and P. Omnes, Eds. Cham, Switzerland: Springer, 2017, vol. 200, pp. 81-89. DOI: 10.1007/978-3-319-57394-6_9 (Research Highlights)
- 2014
- M. Hintermüller, C.N. Rautenberg, and J. Hahn, "Functional-analytic and numerical issues in splitting methods for total variation-based image reconstruction," Inverse Problems, vol. 30, no. 5, Art. no. 055014, 2014. DOI: 10.1088/0266-5611/30/5/055014 (Research Highlights)
- S. H. Park, C.-O. Lee, and J. Hahn, "Image segmentation based on the statistical variational formulation using the local region information," Journal of the Korean Society for Industrial and Applied Mathematics, vol. 18, no. 2, pp. 129-142, 2014. DOI: 10.12941/jksiam.2014.18.129 (Research Highlights)
- 2013
- Y. Duan, Y. Wang, and J. Hahn, "A fast augmented Lagrangian method for Euler's elastica models," Numerical Mathematics: Theory, Methods and Applications, vol. 6, no. 1, pp. 47-71, 2013. DOI: 10.4208/nmtma.2013.mssvm03 (Research Highlights)
- J. Hahn, J. Qiu, E. Sugisaki, L. Jia, X.-C. Tai, and H.S. Seah, "Stroke-based surface reconstruction," Numerical Mathematics: Theory, Methods and Applications, vol. 6, no. 1, pp. 297-324, 2013. DOI: 10.4208/nmtma.2013.mssvm16 (Research Highlights)
- 2012
- Y. Duan, Y. Wang, X.-C. Tai, and J. Hahn, "A fast augmented Lagrangian method for Euler's elastica model," in Scale Space and Variational Methods in Computer Vision, A.M. Bruckstein, B.M. ter Haar Romeny, A.M. Bronstein, M.M. Bronstein, Eds. Berlin, Heidelberg: Springer, 2012, vol. 6667, pp. 144-156. DOI: 10.1007/978-3-642-24785-9_13 (Research Highlights)
- J. Hahn, C. Wu, and X.-C. Tai, "Augmented Lagrangian method for generalized TV-Stokes model," Journal of Scientific Computing, vol. 50, pp. 235-264, 2012. DOI: 10.1007/s10915-011-9482-6 (Research Highlights)
- J. Hahn, G.J. Chung, Y. Wang, and X.-C. Tai, "Fast algorithms for p-elastica energy with the application to image inpainting and curve reconstruction," in Scale Space and Variational Methods in Computer Vision, A.M. Bruckstein, B.M. ter Haar Romeny, A.M. Bronstein, M.M. Bronstein, Eds. Berlin, Heidelberg: Springer, 2012, vol. 6667, pp. 169-182. DOI: 10.1007/978-3-642-24785-9_15 (Research Highlights)
- 2011
- J. Hahn, X.-C. Tai, S. Borok, and A.M. Bruckstein, "Orientation-matching minimization for image denoising and inpainting," International Journal of Computer Vision, vol. 92, pp. 308-324, 2011. DOI: 10.1007/s11263-010-0371-5 (Research Highlights)
- X.-C. Tai, J. Hahn, and G.J. Chung, "A fast algorithm for Euler's elastica model using augmented Lagrangian method," SIAM Journal on Imaging Sciences, vol. 4, no. 1, pp. 313-344, 2011. DOI: 10.1137/100803730 (Research Highlights)
- 2010
- J. Hahn and C.-O. Lee, "Geometric attraction-driven flow for image segmentation and boundary detection," Journal of Visual Communication and Image Representation, vol. 21, no. 1, pp. 56-66, 2010. DOI: 10.1016/j.jvcir.2009.10.005 (Research Highlights)
- 2009
- J. Hahn and C.-O. Lee, "A nonlinear structure tensor with the diffusivity matrix composed of the image gradient," Journal of Mathematical Imaging and Vision, vol. 34, pp. 137-151, 2009. DOI: 10.1007/s10851-009-0138-1 (Research Highlights)
- X.-C. Tai, S. Borok, J. Hahn, "Image denoising using TV-stokes equation with an orientation-matching minimization," in Scale Space and Variational Methods in Computer Vision, X.-C. Tai, K. Mørken, M. Lysaker, and K.A. Lie, Eds. Berlin, Heidelberg: Springer, 2008, vol. 5567, Lecture Notes in Computer Science, pp. 490-501. DOI: 10.1007/978-3-642-02256-2_41 (Research Highlights)
- 2008
- M. J. Kwon, J. Hahn, and H. Park, "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, vol. 18, pp. 9-16, 2008. DOI: 10.1002/ima.20140 (Research Highlights)
- 2007
- C.-O. Lee, K. Jeon, Y. Ha, and J. Hahn, "A variational approach to blending based on warping for non-overlapped images," Computer Vision and Image Understanding, vol. 105, no. 2, pp. 112-120, 2007. DOI: 10.1016/j.cviu.2006.09.001 (Research Highlights)
- 2006
- S.-H. Lee, J. K. Seo, C. Park, B. I. Lee, E. J. Woo, S. Y. Lee, O. Kwon, and J. Hahn, "Conductivity image reconstruction from defective data in MREIT: Numerical simulation and animal experiment," IEEE Transactions on Medical Imaging, vol. 25, no. 2, pp. 168-176, 2006. DOI: 10.1109/TMI.2005.862150 (Research Highlights)