MATH6212 - Topics in Applied Mathematics II - 2022/23

Course Year: 


  • Suggested reading for presentation:

    1. Discrete Surface Ricci Flow - Computation of surface conformal map using Ricci flow idea 

    2. Folding-Free Global Conformal Mapping for Genus-0 Surfaces by Harmonic Energy Minimization 

    3. Efficient conformal parameterization of multiply-connected surfaces using quasi-conformal theory

    4. Spherical Conformal Parameterization of Genus-0 Point Clouds for Meshing

    5. Shape analysis via inconsistent surface registration

    6. Parallelizable Global Conformal Parameterization of Simply-Connected Surfaces via Partial Welding 

    7. A unifying framework for $n$-dimensional quasi-conformal mappings,

    8. Topology- and Convexity-Preserving Image Segmentation Based On Image Registration

General Information


  • Ronald Lok Ming Lui
    • Office: LSB 207
    • Tel: 39437975
    • Email:

Course Description

Computational Quasiconformal Geometry (CQC) studies the deformation pattern between shapes. It has been widely used in applied mathematics and applied in various applications, such as image processing, medical image analysis, computer graphics, computer vision and so on. This course gives an overview of CQC from fundamental concepts, theoretical aspects, computational aspects as well as real-world applications. It is expected that students will get a better idea of this fascinating topic after taking the course.

Class Notes

Honesty in Academic Work

The Chinese University of Hong Kong places very high importance on honesty in academic work submitted by students, and adopts a policy of zero tolerance on cheating and plagiarism. Any related offence will lead to disciplinary action including termination of studies at the University. Although cases of cheating or plagiarism are rare at the University, everyone should make himself / herself familiar with the content of the following website:

and thereby help avoid any practice that would not be acceptable.

Assessment Policy

Last updated: March 24, 2023 21:27:02