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.
Selected Wrok
List of selected publications and presentations.
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 balances 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 Mesn 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
- Geometry Processing