VAR a New Metric of Cryo-electron Tomography Resolution

Motivate by reaching a better understanding of the biological cells, scientists use the TransmissionElectron Microscope (TEM) to investigate their inner structures. The cryo-electron tomography (cryo-ET) offers the possibility to reconstruct 3 D structure reconstruction of a cell slice, that by tilting it according different angles. The resolution limits is the biggest challenge in the cryo-ET. The two phases involved in increasing the resolution are the acquisition phase and the reconstruction phase. In this work, we focus in the last one, as the biologists treat the acquisition phase within the phase of acquisition itself. The resolution of reconstruction depends on many factors such as: (1) the noisy and missing information from the collected projections data, (2) the capacity of processing large data sets, (3) the parametrization of the contrast function of the microscope,(4) errors of the tilt angles used in projections. In this paper, we presented a new method to evaluate the resolution of a reconstruction algorithm. Then the proposed method is used to show the relation between errors of the tilt angles used in projection and the degradation of the resolution. The resolution evaluation tests are made with different reconstruction methods (analytic and algebraic) applied on synthetic and real data.

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