Abstract

Medical morphometry is an important area in medical imaging for disease analysis. Its goal is to systematically analyze anatomical structures of different subjects, and to generate diagnostic images to help doctors to visualize abnormalities. Quasiconformal(QC) Teichmuller theory, which studies the distortions of the deformation patterns between shapes, has become an important tool for this purpose. In practice, objects are usually represented discretely by triangulation meshes. In this talk, I will firstly describe how quasi-conformal geometry can be discretized onto discrete meshes. This gives a discrete analogue of QC geometry on discrete meshes which represent anatomical structures. Then, I will talk about how computational QC geometry can been applied to practical applications in medical shape analysis.