MATH6212A  Topics in Applied Mathematics II  2020/21
Announcement
Reading for presentation:
1. Discrete Surface Ricci Flow  Computation of surface conformal map using Ricci flow idea (Download)
2. An Efficient Energy Minimization for Conformal Parameterizations (Download)
3. FoldingFree Global Conformal Mapping for Genus0 Surfaces by Harmonic Energy Minimization (Download)
4. Efficient conformal parameterization of multiplyconnected surfaces using quasiconformal theory (Download)
5. Spherical Conformal Parameterization of Genus0 Point Clouds for Meshing(Download)
6. TEMPO: FeatureEndowed Teichmuller Extremal Mappings of Point Clouds (Download)
7. Parallelizable Global Conformal Parameterization of SimplyConnected Surfaces via Partial Welding (Download)
General Information
Lecturer

Ronald Lok Ming LUI
 Office: LSB 207
 Tel: 39437975
 Email:
Time and Venue
 Lecture:
Mon 1:30pm4:00pm (Zoom link:https://cuhk.zoom.us/j/98652025264)
Course Description
Computational Quasiconformal Geometry (CQC) studies the deformation pattern between shapes. It has been widely used in various applications, such as image processing, medical image analysis, computer graphics and so on. This course gives an overview of CQC from fundamental concepts, theoretical aspects, computational aspects as well as realworld applications. It is expected that students will get a better idea of this fascinating topic after taking the course.
Lecture Notes
 Lecture 2: Basic mathematical concepts of topological & Riemannian manifolds
 Lecture 3: Basic theories of Riemann surface and conformal structures
 Lecture 4: Surface harmonic map: theories and computation
 Lecture 5: Computation of surface harmonic and conformal maps
 Lecture 6: Fast algorithm for optimized harmonic map and Introduction to Quasiconformal Geometry
 Lecture 7: Some more computational algorithms for Quasiconformal maps
 Lecture 8: Beltrami Holomorphic Flow
 Lecture 8: Power Point illustration
 Lecture 9: Splitting method for Diffeomorphism Optimization Problem & Beltrami differentials
Useful Links
 Lecture 1 recording
 Lecture 2 recording
 Lecture 3 recording fixing
 Lecture 4 recording
 Lecture 5 recording
 Lecture 6 recording
 Lecture 7 recording
 Lecture 8 recording
 Lecture 9 recording
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Assessment Policy Last updated: November 09, 2020 16:14:49