Alignment of Density Maps in Wasserstein Distance

arXiv:2305.12310v2 Announce Type: replace-cross
Abstract: In this paper we propose an algorithm for aligning three-dimensional objects when represented as density maps, motivated by applications in cryogenic electron microscopy. The algorithm is based on minimizing the 1-Wasserstein distance between the density maps after a rigid transformation. The induced loss function enjoys a more benign landscape than its Euclidean counterpart and Bayesian optimization is employed for computation. Numerical experiments show improved accuracy and efficiency over existing algorithms on the alignment of real …

abstract algorithm alignment applications arxiv eess.iv function loss maps microscopy objects paper q-bio.qm stat.ml the algorithm three-dimensional transformation type