About

Shu-Yung Liu

Shu-Yung Liu (劉書詠) is the Ph.D. studient in the department of mathematics at the National Taiwan Normal University (NTNU). His research focuses on computational geometry, particularly on area-preserving and volume-preserving parameterizations for triangular and tetrahedra meshes.

These methods have applications in image processing and medical image analysis, such as surface registration, geometry images, and brain tumor segmentation.

me

Selected Wrok

List of selected publications and presentations.

Spherical Area-Preserving Parameterization via Energy Minimization

SIAM Journal on Imaging Sciences, 19(1):207–235, 2026.

We proposed a numerical method for computing spherical, area-preserving parameterizations of closed simplicial surfaces.

Energy-Based Distortion-Balancing Parameterization for Open Surfaces

SIAM Journal on Imaging Sciences, 18(4):2059–2093, 2025

We developed a numerical method to compute parameterizations of simply connected open simplicial surfaces that balance both angular and area distortions.

Convergent Authalic Energy Minimization for Disk Area-Preserving Parameterizations

Journal of Scientific Computing, 100(2):43, 2024.

We proposed a numerical method for computing disk-shaped, area-preserving parameterizations of simply connected open simplicial surfaces.

The 16th Taiwan-Japan Joint Workshop for Young Scholars in Applied Mathematics

March, 2025, Osaka, Japan

Topic: Area-Preserving Mesn Parameterizations and Applications.

The 18th East Asia SIAM Section Conference

July, 2025, Manila, Philippines

Topic: Spherical Volume-Preserving Parameterization Via Energy Minimization.

The 26th Conference of the International Linear Algebra Society

June, 2025, Kaohsiung, Taiwan

Topic: Spherical Volume-Preserving Parameterization Via Energy Minimization.

Contact

Feel free to reach out to me.

Research Interests

Our current research interests include:

  • Computational Geometry
  • Scientific Computing
  • Numerical Optimization
  • Geometry Processing

Information

Address

Department of Mathematics
National Taiwan Normal University

Email

lii227857@gmail.com

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