Diffeomorphic Deformation

Diffeomorphic deformation, the process of smoothly and reversibly warping one object (e.g., image, shape, time series) onto another while preserving topology, is a crucial technique in various scientific fields. Current research focuses on developing efficient and accurate algorithms, often leveraging deep learning architectures like convolutional neural networks (CNNs) and transformers, to achieve diffeomorphic transformations, particularly for image registration and time series analysis. These advancements are significantly impacting medical image analysis (e.g., improving organ segmentation and radiotherapy planning) and other areas requiring robust and topology-preserving data alignment.