Topology Preserving
Topology-preserving segmentation aims to accurately delineate objects in images while maintaining their inherent connectivity and structure, a crucial aspect often overlooked by standard segmentation methods. Current research focuses on developing novel loss functions and network architectures, such as deformation-based models incorporating quasiconformal mappings or distance transforms, to enforce topological constraints during the segmentation process. These advancements improve the accuracy and reliability of segmentation in various applications, particularly in medical imaging (e.g., airway or vessel segmentation) and other fields requiring precise structural representation, leading to better downstream analysis and clinical decision-making.