Publications

Selected journal articles, conference papers, project links, and BibTeX records.

  1. Spherical Area-Preserving Parameterization via Energy Minimization (with S.-Y. Liu)
    SIAM Journal on Imaging Sciences, 19(1):207–235, 2026.
    Publisher's Version Full Text 

    @article{LiYu26,
author   = {Liu, S.-Y. and Yueh, M.-H.},
title    = {Spherical Area-Preserving Parameterization via Energy Minimization},
journal  = {SIAM J. Imaging Sci.},
volume   = {19},
number   = {1},
pages    = {207--235},
year     = {2026},
doi      = {10.1137/25M1736979},
url      = {https://doi.org/10.1137/25M1736979}
}

  2. Energy-Based Distortion-Balancing Parameterization for Open Surfaces (with S.-Y. Liu)
    SIAM Journal on Imaging Sciences, 18(4):2059–2093, 2025.
    Publisher's Version Full Text 

    @article{LiYu25,
author   = {Liu, S.-Y. and Yueh, M.-H.},
title    = {Energy-Based Distortion-Balancing Parameterization for Open Surfaces},
journal  = {SIAM J. Imaging Sci.},
volume   = {18},
number   = {4},
pages    = {2059--2093},
year     = {2025},
doi      = {10.1137/24M1708437},
url      = {https://doi.org/10.1137/24M1708437}
}

  3. Convergent Authalic Energy Minimization for Disk Area-Preserving Parameterizations (with S.-Y. Liu)
    Journal of Scientific Computing, 100(2):43, 2024.
    Publisher's Version Full Text Project Page 

    @article{LiYu24,
author   = {Liu, S.-Y. and Yueh, M.-H.},
title    = {Convergent Authalic Energy Minimization for Disk Area-Preserving Parameterizations},
journal  = {J. Sci. Comput.},
volume   = {100},
number   = {2},
pages    = {43},
year     = {2024},
issn     = {1573-7691},
doi      = {10.1007/s10915-024-02594-2},
url      = {https://link.springer.com/article/10.1007/s10915-024-02594-2}
}

  4. Riemannian gradient descent for spherical area-preserving mappings (with M. Sutti)
    AIMS Mathematics, 9(7):19414–19445, 2024.
    Publisher's Version Preprint 

    @article{SuYu24,
author = {Sutti, M. and Yueh, M.-H.},
title    = {Riemannian gradient descent for spherical area-preserving mappings},
journal  = {AIMS Math.},
volume   = {9},
number   = {7},
pages    = {19414--19445},
year     = {2024},
issn     = {2473-6988},
doi      = {10.3934/math.2024946},
url      = {https://www.aimspress.com/article/doi/10.3934/math.2024946}
}

  5. Convergence of Dirichlet Energy Minimization for Spherical Conformal Parameterizations
    (with W.-H. Liao, T.-M. Huang and W.-W. Lin)
    Journal of Scientific Computing, 98(1):29, 2024.
    Publisher's Version Full Text Preprint 

    @article{LiHL24,
author = {Liao, W.-H. and Huang, T.-M. and Lin, W.-W. and Yueh, M.-H.},
title    = {Convergence of Dirichlet Energy Minimization for Spherical Conformal Parameterizations},
journal  = {J. Sci. Comput.},
volume   = {98},
number   = {1},
pages    = {29},
year     = {2024},
issn     = {1573-7691},
doi      = {10.1007/s10915-023-02424-x},
url      = {https://link.springer.com/article/10.1007/s10915-023-02424-x}
}

  6. Convergence Analysis of Volumetric Stretch Energy Minimization and its Associated Optimal Mass Transport
    (with T.-M. Huang, W.-H. Liao, W.-W. Lin and S.-T. Yau)
    SIAM Journal on Imaging Sciences, 16(3):1825–1855, 2023.
    Publisher's Version Full Text 

    @article{HuLL23,
author = {Huang, T.-H. and Liao, W.-H. and Lin, W.-W. and Yueh, M.-H. and Yau, S.-T.},
title = {Convergence Analysis of Volumetric Stretch Energy Minimization and Its Associated Optimal Mass Transport},
journal = {SIAM J. Imaging Sci.},
volume = {16},
number = {3},
pages = {1825--1855},
year = {2023},
issn = {1936-4954},
doi = {10.1137/22M1528756},
url = {https://epubs.siam.org/doi/10.1137/22M1528756}
}

  7. Theoretical Foundation of the Stretch Energy Minimization for Area-Preserving Simplicial Mappings
    SIAM Journal on Imaging Sciences, 16(3):1142–1176, 2023.
    Publisher's Version Full Text 

    @article{Yueh23,
author = {Yueh, M.-H.},
title = {Theoretical Foundation of the Stretch Energy Minimization for Area-Preserving Simplicial Mappings},
journal = {SIAM J. Imaging Sci.},
volume = {16},
number = {3},
pages = {1142--1176},
year = {2023},
issn = {1936-4954},
doi = {10.1137/22M1505062},
url = {https://epubs.siam.org/doi/10.1137/22M1505062}
}

  8. A Constructive Algorithm for Disk Conformal Parameterizations (with W.-H. Liao)
    Journal of Scientific Computing, 92(2):40, 2022.
    Publisher's Version Full Text Project Page 

    @article{LiYu22,
author = {Liao, W.-H. and Yueh, M.-H.},
title    = {A Constructive Algorithm for Disk Conformal Parameterizations},
journal  = {J. Sci. Comput.},
volume   = {94},
number   = {2},
pages    = {40},
year     = {2022},
issn     = {1573-7691},
doi      = {10.1007/s10915-022-01898-5},
url      = {https://link.springer.com/article/10.1007/s10915-022-01898-5}
}

  9. A Two-Phase Optimal Mass Transportation Technique for 3D Brain Tumor Detection and Segmentation
    (with W.-W. Lin, T. Li, T.-M. Huang, J.-W. Lin and S.-T. Yau)
    Lecture Notes in Computer Science, vol 12962. Springer, Cham., 2022.
    Publisher's Version Full Text 

    @incollection{LinLiHLY22,
author    = {Lin, W.-W. and Li, T. and Huang, T.-M. and Lin, J.-W. and Yueh, M.-H. and Yau, S.-T.},
title     = {A Two-Phase Optimal Mass Transportation Technique for {3D} Brain Tumor Detection and Segmentation},
booktitle = {Brainlesion: Glioma, Multiple Sclerosis, Stroke and Traumatic Brain Injuries},
series    = {Lecture Notes in Computer Science},
volume    = {12962},
pages     = {400--409},
publisher = {Springer},
address   = {Cham},
year      = {2022},
doi       = {10.1007/978-3-031-08999-2_34},
url       = {https://doi.org/10.1007/978-3-031-08999-2_34}
}

  10. A novel 2-phase residual U-net algorithm combined with optimal mass transportation for 3D brain tumor detection and segmentation (with W.-W. Lin, J.-W. Lin, T.-M. Huang, T. Li and S.-T. Yau)
    Scientific Reports, 12, 6452, 2022.
    Publisher's Version Full Text 

    @article{LinLinHLY22,
author  = {Lin, W.-W. and Lin, J.-W. and Huang, T.-M. and Li, T. and Yueh, M.-H. and Yau, S.-T.},
title   = {A novel 2-phase residual {U-net} algorithm combined with optimal mass transportation for {3D} brain tumor detection and segmentation},
journal = {Sci. Rep.},
volume  = {12},
number  = {1},
pages   = {6452},
year    = {2022},
doi     = {10.1038/s41598-022-10285-x},
url     = {https://doi.org/10.1038/s41598-022-10285-x}
}

  11. An optimal transportation-based recognition algorithm for 3D facial expressions (with T. Li and P.-S. Chuang)
    Annals of Mathematical Sciences and Applications, 7(1):49–96, 2022.
    Publisher's Version 

    @article{LiChYu22,
author  = {Li, T. and Chuang, P.-S. and Yueh, M.-H.},
title   = {An optimal transportation-based recognition algorithm for {3D} facial expressions},
journal = {Ann. Math. Sci. Appl.},
volume  = {7},
number  = {1},
pages   = {49--96},
year    = {2022},
doi     = {10.4310/AMSA.2022.v7.n1.a3},
url     = {https://dx.doi.org/10.4310/AMSA.2022.v7.n1.a3}
}

  12. Convergent Conformal Energy Minimization for the Computation of Disk Parameterizations
    (with Y.-C. Kuo, W.-W. Lin and S.-T. Yau)
    SIAM Journal on Imaging Sciences, 14(4):1790–1815, 2021.
    Publisher's Version MathSciDoc Project Page 

    @article{KuLYY21,
author  = {Kuo, Y.-C. and Lin, W.-W. and Yueh, M.-H. and Yau, S.-T.},
title   = {Convergent Conformal Energy Minimization for the Computation of Disk Parameterizations},
journal = {SIAM J. Imaging Sci.},
volume  = {14},
number  = {4},
pages   = {1790--1815},
year    = {2021},
issn    = {1936-4954},
doi     = {10.1137/21M1415443},
url     = {https://doi.org/10.1137/21M1415443}
}

  13. 3D Brain Tumor Segmentation Using a Two-Stage Optimal Mass Transport Algorithm
    (with W.-W. Lin, C. Juang, T.-M. Huang, T. Li, S. Wang and S.-T. Yau)
    Scientific Reports, 11, 14686, 2021.
    Publisher's Version Full Text 

    @article{LinJYHLWY21,
author  = {Lin, W.-W. and Juang, C. and Yueh, M.-H. and Huang, T.-M. and Li, T. and Wang, S. and Yau, S.-T.},
title   = {{3D} Brain Tumor Segmentation Using a Two-Stage Optimal Mass Transport Algorithm},
journal = {Sci. Rep.},
volume  = {11},
number  = {1},
pages   = {14686},
year    = {2021},
doi     = {10.1038/s41598-021-94071-1},
url     = {https://doi.org/10.1038/s41598-021-94071-1}
}

  14. Projected Gradient Method Combined with Homotopy Techniques for Volume-Measure-Preserving Optimal Mass Transportation Problems (with T.-M. Huang, T. Li, W.-W. Lin and S.-T. Yau)
    Journal of Scientific Computing, 88(3):64, 2021.
    Publisher's Version Full Text 

    @article{YuHLLY21,
author  = {Yueh, M.-H. and Huang, T.-M. and Li, T. and Lin, W.-W. and Yau, S.-T.},
title   = {Projected Gradient Method Combined with Homotopy Techniques for Volume-Measure-Preserving Optimal Mass Transportation Problems},
journal = {J. Sci. Comput.},
volume  = {88},
number  = {3},
pages   = {64},
year    = {2021},
issn    = {1573-7691},
doi     = {10.1007/s10915-021-01583-z},
url     = {https://doi.org/10.1007/s10915-021-01583-z}
}

  15. A New Efficient Algorithm for Volume-Preserving Parameterizations of Genus-One 3-Manifolds
    (with T. Li, W.-W. Lin and S.-T. Yau)
    SIAM Journal on Imaging Sciences, 13(3):1536–1564, 2020.
    Publisher's Version MathSciDoc Project Page 

    @article{YuLLY20,
author  = {Yueh, M.-H. and Li, T. and Lin, W.-W. and Yau, S.-T.},
title   = {A New Efficient Algorithm for Volume-Preserving Parameterizations of Genus-One {3}-Manifolds},
journal = {SIAM J. Imaging Sci.},
volume  = {13},
number  = {3},
pages   = {1536--1564},
year    = {2020},
issn    = {1936-4954},
doi     = {10.1137/19M1301096},
url     = {https://doi.org/10.1137/19M1301096}
}

  16. Optimized Surface Parameterizations with Application on Chinese Virtual Broadcasting
    (with H.-H. Huang, T. Li, W.-W. Lin and S.-T. Yau)
    Electronic Transactions on Numerical Analysis, 53:383–405, 2020.
    Publisher's Version Abstract Full Text 

    @article{YuHLLY20,
author  = {Yueh, M.-H. and Huang, H.-H. and Li, T. and Lin, W.-W. and Yau, S.-T.},
title   = {Optimized Surface Parameterizations with Applications to Chinese Virtual Broadcasting},
journal = {Electron. Trans. Numer. Anal.},
volume  = {53},
pages   = {383--405},
year    = {2020},
issn    = {1068-9613},
doi     = {10.1553/etna_vol53s383},
url     = {https://doi.org/10.1553/etna_vol53s383}
}

  17. A Novel Algorithm for Volume-Preserving Parameterizations of 3-Manifolds (with T. Li, W.-W. Lin and S.-T. Yau)
    SIAM Journal on Imaging Sciences, 12(2):1071–1098, 2019.
    Publisher's Version Full Text MathSciDoc 

    @article{YuLLY19,
author  = {Yueh, M.-H. and Li, T. and Lin, W.-W. and Yau, S.-T.},
title   = {A Novel Algorithm for Volume-Preserving Parameterizations of {3}-Manifolds},
journal = {SIAM J. Imaging Sci.},
volume  = {12},
number  = {2},
pages   = {1071--1098},
year    = {2019},
issn    = {1936-4954},
doi     = {10.1137/18M1201184},
url     = {https://doi.org/10.1137/18M1201184}
}

  18. A Novel Stretch Energy Minimization Algorithm for Equiareal Parameterizations (with W.-W. Lin, C.-T. Wu and S.-T. Yau)
    Journal of Scientific Computing, 78(3):1353–1386, 2019.
    Publisher's Version Full Text MathSciDoc MATLAB Demo 

    @article{YuLWY19,
author  = {Yueh, M.-H. and Lin, W.-W. and Wu, C.-T. and Yau, S.-T.},
title   = {A Novel Stretch Energy Minimization Algorithm for Equiareal Parameterizations},
journal = {J. Sci. Comput.},
volume  = {78},
number  = {3},
pages   = {1353--1386},
year    = {2019},
issn    = {1573-7691},
doi     = {10.1007/s10915-018-0822-7},
url     = {https://doi.org/10.1007/s10915-018-0822-7}
}

  19. An Efficient Energy Minimization for Conformal Parameterizations (with W.-W. Lin, C.-T. Wu and S.-T. Yau)
    Journal of Scientific Computing, 73(1):203–227, 2017.
    Publisher's Version Full Text Preprint MATLAB Demo 

    @article{YuLWY17,
author  = {Yueh, M.-H. and Lin, W.-W. and Wu, C.-T. and Yau, S.-T.},
title   = {An Efficient Energy Minimization for Conformal Parameterizations},
journal = {J. Sci. Comput.},
volume  = {73},
number  = {1},
pages   = {203--227},
year    = {2017},
issn    = {1573-7691},
doi     = {10.1007/s10915-017-0414-y},
url     = {https://doi.org/10.1007/s10915-017-0414-y}
}

  20. An efficient numerical method for solving high-dimensional nonlinear filtering problems (with W.-W. Lin and S.-T. Yau)
    Communications in Information and Systems, 14(4):243-262, 2014.
    Publisher's Version Full Text MATLAB Demo 

    @article{YuLY14a,
author  = {Yueh, M.-H. and Lin, W.-W. and Yau, S.-T.},
title   = {An efficient numerical method for solving high-dimensional nonlinear filtering problems},
journal = {Commun. Inf. Syst.},
volume  = {14},
number  = {4},
pages   = {243--262},
year    = {2014},
doi     = {10.4310/CIS.2014.v14.n4.a2},
url     = {http://dx.doi.org/10.4310/CIS.2014.v14.n4.a2}
}

  21. An efficient algorithm of Yau-Yau method for solving nonlinear filtering problems (with W.-W. Lin and S.-T. Yau)
    Communications in Information and Systems, 14(2):111-134, 2014.
    Publisher's Version Full Text MATLAB Demo 

    @article{YuLY14b,
author  = {Yueh, M.-H. and Lin, W.-W. and Yau, S.-T.},
title   = {An efficient algorithm of {Yau-Yau} method for solving nonlinear filtering problems},
journal = {Commun. Inf. Syst.},
volume  = {14},
number  = {2},
pages   = {111--134},
year    = {2014},
doi     = {10.4310/CIS.2014.v14.n2.a3},
url     = {http://dx.doi.org/10.4310/CIS.2014.v14.n2.a3}
}