Selected Publications

1. 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, 98:29, 2024.
   [Publisher's Version] [Full Text] [Preprint]


2. 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]


3. 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},
   doi = {10.1137/22M1505062}
   }
   

   
   

   [Close BibTex]


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


5. 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]


6. 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]


7. 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]


8. 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]


9. 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]


10. 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, 88:64, 2021.
    [Publisher's Version] [Full Text]


11. 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]


12. 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]


13. 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]


14. 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]


15. 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]


16. 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]


17. 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]