Selected Publications

1. 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] [Preprint] [BibTex]
   
   

   @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}
   }
   

   
   

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

   @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}
   }
   

   
   

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3. Convergence Analysis 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]


4. 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]


5. 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] [BibTex]
   
   

   @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}
   }
   

   
   

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6. 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]


7. 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]


8. 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]


9. 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]


10. 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]


11. 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]


12. 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]


13. 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]


14. 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]


15. 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]


16. 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]


17. 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]


18. 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]


19. 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]