# A new solution to the curved Ewald sphere problem for 3D image reconstruction in electron microscopy

arXiv: https://arxiv.org/abs/2101.11709 · HTML: https://mlsanity.com/paper/2101.11709/

## Key facts

- No citing papers in the map yet (data through 14 Oct 2026).
- Builds on 2 of its 32 references that are in the map.
- First posted on arXiv 4 Jan 2021.

## Builds on (most cited first, 2 of 2)

- [On electron imaging of small molecules, Part II: tomographic reconstruction from defocus series](https://mlsanity.com/paper/1911.11598/) (2019)
- [On electron imaging of small molecules, Part I: relative roles of multiple scattering and Fresnel diffraction](https://mlsanity.com/paper/1911.11599/) (2019)

## Abstract (arXiv)

We develop an algorithm capable of imaging a three-dimensional object given a collection of two-dimensional images of that object that are significantly influenced by the curvature of the Ewald sphere. These two-dimensional images cannot be approximated as projections of the object. Such an algorithm is useful in cryo-electron microscopy where larger samples, higher resolution, or lower energy electron beams are desired, all of which contribute to the significance of Ewald curvature.