Displacement Field

Displacement fields represent the vector mapping of points from one configuration to another, crucial for analyzing deformation in various domains. Current research focuses on efficiently and accurately estimating these fields using diverse methods, including neural networks (e.g., U-Net, transformers, and physics-informed networks), optimal transport formulations, and novel algorithms like the Beams Displacement Method. These advancements are significantly impacting fields like medical image registration, geographical information systems, and material science by enabling more precise analysis of complex deformations and improved modeling of physical processes. The development of faster and more robust methods for displacement field estimation continues to be a key area of investigation.