Domain Elastic Transform: Bayesian Function Registration for High-Dimensional Scientific Data

ArXi:2603.21235v1 Announce Type: cross Nonrigid registration is conventionally divided into point set registration, which aligns sparse geometries, and image registration, which aligns continuous intensity fields on regular grids. However, this dichotomy creates a critical bottleneck for emerging scientific data, such as spatial transcriptomics, where high-dimensional vector-valued functions, e.g., gene expression, are defined on irregular, sparse manifolds.