Laplace-Beltrami Eigen-Geometry and Applications to 3D Medical Imaging
Seminar Room 1, Newton Institute
Rapid development of 3D data acquisition technologies stimulates researches on 3D surface analysis. Intrinsic descriptors of 3D surfaces are crucial to either process or analyze surfaces. In this talk, I will present our recent work on 3D surfaces analysis by using Laplace-Beltrami (LB) eigen-system. The intrinsically defined LB operator provides us a powerful tool to study surface geometry through its LB eigen-system. By combining with other variational PDEs on surfaces, I will show our results on skeleton construction, feature extraction, pattern identification and surface mapping in 3D brain imaging by using LB eigen-geometry. The nature of LB eigen-system guarantee that our methods are robust to surfaces rotation and translation variations.