Shu-Yung Liu
Shu-Yung Liu (劉書詠) is the Ph.D. student 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 tetrahedral meshes.
Selected Work
Volume-Preserving Parameterizations via Preconditioned Nonlinear Conjugate Gradient Method
We treat the volume-preserving parameterization as an optimization problem solved by a preconditioned nonlinear conjugate gradient method.
Spherical Area-Preserving Parameterization via Energy Minimization
We extend the framework of authalic energy minimization to spherical domains while preventing the occurrence of non-bijectivity.
Energy-Based Distortion-Balancing Parameterization for Open Surfaces
We balance angle and area distortions for parameterization through a combination of conformal and authalic energies.
Convergent Authalic Energy Minimization for Disk Area-Preserving Parameterizations
We quantify area distortion of parameterizations by authalic energy and minimize it through a convergent strategy while remaining on the unit disk.
The 16th Taiwan-Japan Joint Workshop for Young Scholars in Applied Mathematics
Topic: Area-Preserving Mesh Parameterizations and Applications.
The 18th East Asia SIAM Section Conference
Topic: Spherical Volume-Preserving Parameterization Via Energy Minimization.
The 26th Conference of the International Linear Algebra Society
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