Procrustes Analysis

Procrustes analysis is a family of methods used to optimally align shapes or point clouds by finding the best-fitting rigid or deformable transformation. Current research focuses on improving robustness to noise and outliers, particularly in high-dimensional data, and developing efficient algorithms for large datasets, including those employing kernel methods and homotopy techniques. These advancements are impacting diverse fields, from human pose estimation and brain modeling to genomics and archaeological analysis, by enabling more accurate and reliable comparisons of complex shapes and data structures.