2024年06月17日 星期一 登录 EN

学术活动
3D Computational Conformal Geometry with Applications on Medical Images
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报告人:
Wenwei Lin, Professor, Yang Ming Chiao Tung University, Taiwan
邀请人:
Shuo Zhang, Associate Professor
题目:
3D Computational Conformal Geometry with Applications on Medical Images
时间地点:
16:00-17:00 September 29(Thursday), Tencent Meeting ID: 478-1365-3406
摘要:
In this talk, we would like to introduce the computational conformal geometry with its applications on medical images. The well-known uniformization theorem shows that a closed surface of genus-zero is equivalently conformal to a unit sphere. However, the numerical method and its convergence should be addressed. We will propose efficient algorithms on conformal energy minimization (CEM), stretch energy minimization (SEM) and volume stretch energy minimization (VSEM) for finding the conformal (angle-preserving) and equiareal (area-preserving) parametrizations, respectively, between a simply connected closed surface and a sphere, as well as, the volume-preserving parametrization between a 3-manifold with a single genus-zero boundary and a unit ball. Based on the SEM and VSEM algorithms we further develop the reliable and robust algorithms for solving the optimal mass transportation (OMT) between an irregular 3D domain and a unit ball, while minimizing the deformation cost, and keeping the minimal distortion and the local mass ratios unchanged. Combining the proposed OMT with the U-net machine learning algorithm, we develop a novel two-phase OMT algorithm successfully applying for the detection and segmentation of 3D brain tumors with high training and validation Dice scores.