Structure Tensor

Structure tensors are mathematical objects used to represent and analyze structural information within data, particularly in image processing and multi-modal data fusion. Current research focuses on improving the robustness and efficiency of structure tensor methods, including developing novel algorithms for parameter optimization, leveraging topological invariants for enhanced interpretability, and designing effective priors for Bayesian inverse problems involving structured tensors. These advancements are impacting diverse fields, from biometrics and video object tracking to materials science and Alzheimer's disease diagnosis, by enabling more accurate feature extraction, improved data fusion, and more efficient solutions to inverse problems.