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- Tejal Bhamre, Teng Zhang, Amit Singer
- ISBI
- 2015

In single particle reconstruction (SPR) from cryo-electron microscopy (EM), the 3D structure of a molecule needs to be determined from its 2D projection images taken at unknown viewing directions. Zvi Kam showed already in 1980 that the autocorrelation function of the 3D molecule over the rotation group SO(3) can be estimated from 2D projection images whose… (More)

- Tejal Bhamre, Teng Zhang, Amit Singer
- Journal of structural biology
- 2016

The problem of image restoration in cryo-EM entails correcting for the effects of the Contrast Transfer Function (CTF) and noise. Popular methods for image restoration include 'phase flipping', which corrects only for the Fourier phases but not amplitudes, and Wiener filtering, which requires the spectral signal to noise ratio. We propose a new image… (More)

- Tejal Bhamre, Teng Zhang, Amit Singer
- ArXiv
- 2017

The missing phase problem in X-ray crystallography is commonly solved using the technique of molecular replacement (Rossmann & Blow, 1962; Rossmann, 2001; Scapin, 2013), which borrows phases from a previously solved homologous structure, and appends them to the measured Fourier magnitudes of the diffraction patterns of the unknown structure. More recently,… (More)

- David Aasen, Tejal Bhamre, Achim Kempf
- Physical review letters
- 2013

To unify general relativity and quantum theory is hard in part because they are formulated in two very different mathematical languages, differential geometry and functional analysis. A natural candidate for bridging this language gap, at least in the case of the Euclidean signature, is the discipline of spectral geometry. It aims at describing curved… (More)

- Tejal Bhamre, Zhizhen Zhao, Amit Singer
- ISBI
- 2017

Single particle reconstruction (SPR) from cryo-electron microscopy (EM) is a technique in which the 3D structure of a molecule needs to be determined from its contrast transfer function (CTF) affected, noisy 2D projection images taken at unknown viewing directions. One of the main challenges in cryo-EM is the typically low signal to noise ratio (SNR) of the… (More)

We experimentally demonstrate how magnetic depolarization of velocity-selective optical pumping can be used to single out the collisional cusp kernel best describing spinand velocity-relaxing collisions between potassium atoms and low-pressure helium. The range of pressures and transverse fields used simulate the optical pumping regime pertinent to sodium… (More)

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