J. Minarčík, M. Beneš: Trajectory Surfaces of Framed Curvature Flow, arXiv preprint, 2024, arXiv:2408.16855, doi: 10.48550/arXiv.2408.16855. [pdf] [show bibtex]
@misc{Minarcik2024Framed,
title={Trajectory Surfaces of Framed Curvature Flow},
author={Minar\v{c}\'{i}k, Ji\v{r}\'{i} and Bene\v{s}, Michal},
year={2024},
eprint={2408.16855},
archivePrefix={arXiv},
primaryClass={math.DG},
url={https://arxiv.org/abs/2408.16855},
}
J. Minarčík, S. Estep, W. Ni, K. Crane: Minkowski Penalties: Robust Differentiable Constraint Enforcement for Vector Graphics, ACM SIGGRAPH 2024 Conference Proceedings, 43(4), 2024, ACM, doi: 10.1145/3641519.3657495. [pdf] [supplement] [project] [show bibtex]
@article{Minarcik2024Minkowski,
author={Minar\v{c}\'{i}k, Ji\v{r}\'{i} and Estep, Sam and Ni, Wode and Crane, Keenan},
title={Minkowski Penalties: Robust Differentiable Constraint Enforcement for Vector Graphics},
journal={ACM SIGGRAPH 2024 Conference Proceedings},
volume={43},
number={4},
year={2024},
publisher={ACM},
doi={10.1145/3641519.3657495},
}
J. Minarčík: Properties and Applications of Geometric Flows, PhD Thesis, 2024. [pdf] [show bibtex]
@phdthesis{Minarcik2024Thesis,
title={Properties and Applications of Geometric Flows},
author={Minar\v{c}\'{i}k, Ji\v{r}\'{i}},
year={2024},
school={Czech Technical University in Prague},
address={Prague, Czech Republic},
url={https://dspace.cvut.cz/handle/10467/114421},
}
J. Minarčík, M. Beneš: Minimal Surface Generating Flow for Space Curves of Non-Vanishing Torsion, Discrete Contin. Dyn. Syst. B, 27(11): 6605-6617, 2022, MR: 4484023, doi: 10.3934/dcdsb.2022011. [pdf] [show bibtex]
@article{Minarcik2022Minimal,
title={Minimal Surface Generating Flow for Space Curves of Non-Vanishing Torsion},
author={Minar\v{c}\'{i}k, Ji\v{r}\'{i} and Bene\v{s}, Michal},
journal={Discrete \& Continuous Dynamical Systems - B},
volume={27},
number={11},
pages={6605--6617},
year={2022},
MR={4484023},
doi={10.3934/dcdsb.2022011},
}
J. Minarčík, M. Beneš: Non-Degenerate Homotopy and Geometric Flows, Homol. Homotopy Appl., 24(2):255-264, 2022, MR: 4478130, doi: 10.4310/HHA.2022.v24.n2.a12. [pdf] [show bibtex]
@article{Minarcik2022Nondegenerate,
title={Non-Degenerate Homotopy and Geometric Flows},
author={Minar\v{c}\'{i}k, Ji\v{r}\'{i} and Bene\v{s}, Michal},
journal={Homology, Homotopy and Applications},
volume={24},
number={2},
pages={255--264},
year={2022},
MR={4478130},
doi={10.4310/HHA.2022.v24.n2.a12},
}
J. Minarčík, M. Beneš: Long-Term Behavior of Curve Shortening Flow in \( \mathbb{R}^3 \), SIAM J. Math. Anal., 52(2):1221–1231, 2020, MR: 4076813, doi: 10.1137/19M1248522. [pdf] [show bibtex]
@article{Minarcik2020LongTerm,
title={Long-Term Behavior of Curve Shortening Flow in $\mathbb{R}^3$},
author={Minar\v{c}\'{i}k, Ji\v{r}\'{i} and Bene\v{s}, Michal},
journal={SIAM Journal on Mathematical Analysis},
volume={52},
number={2},
pages={1221--1231},
year={2020},
MR={4076813},
doi={10.1137/19M1248522},
}
J. Minarčík, M. Kimura, M. Beneš: Comparing Motion of Curves and Hypersurfaces in \( \mathbb{R}^m \), Discrete Contin. Dyn. Syst. B, 24(9):4815–4826, 2019, MR: 3986221, doi: 10.3934/dcdsb.2019032. [pdf] [show bibtex]
@article{Minarcik2019Comparing,
title={Comparing Motion of Curves and Hypersurfaces in $\mathbb{R}^m$},
author={Minar\v{c}\'{i}k, Ji\v{r}\'{i} and Kimura, Masato and Bene\v{s}, Michal},
journal={Discrete \& Continuous Dynamical Systems - B},
volume={24},
number={9},
pages={4815--4826},
year={2019},
MR={3986221},
doi={10.3934/dcdsb.2019032},
}