ArticleBiological imaging2024
Alignment of density maps in Wasserstein distance.
Article in Biological imaging, 2024. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 9 papers.
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Who cites it
9 citing papers in PubMed.
- Fast Rigid Alignment of Heterogeneous Images in Sliced Wasserstein Distance.SIAM journal on imaging sciences · 2026Article
- Bayesian perspective for orientation determination in cryo-EM with application to structural heterogeneity analysis.Acta crystallographica. Section D, Structural biology · 2026Article
- Subspace Method of Moments forSIAM journal on imaging sciences · 2026Article
- Cryo-electron microscopy ensemble optimization using individual particles and physical constraints.bioRxiv : the preprint server for biology · 2025Article
- The Inaugural Flatiron Institute Cryo-EM Conformational Heterogeneity Challenge.bioRxiv : the preprint server for biology · 2025Article
- OTMol: Robust Molecular Structure Comparison via Optimal Transport.Journal of chemical information and modeling · 2025Article
- Bayesian Perspective for Orientation Determination in Cryo-EM with Application to Structural Heterogeneity Analysis.bioRxiv : the preprint server for biology · 2025Article
- CryoTRANS: predicting high-resolution maps of rare conformations from self-supervised trajectories in cryo-EM.Communications biology · 2024Article
- Moment-based metrics for molecules computable from cryogenic electron microscopy images.Biological imaging · 2024Article
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Abstract
In this article, 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 protein molecules. In the context of aligning heterogeneous pairs, we illustrate a potential need for new distance functions.
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