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Updated: Jun 20, 2026

Magnetic Tweezers for the Measurement of Twist and Torque
Published on: May 19, 2014
Technical note: a tool for determining rotational tilt axis with or without fiducial markers
Atsuko Kobayashi1, Takumi Fujigaya, Masayuki Itoh
1Photonics Research Institute, National Institute of Advanced Industrial Science and Technology, Midorigaoka 1-8-31, Ikeda-city, Osaka 563-8577, Japan. kobayashi-a@aist.go.jp
This study introduces a simple tool using Fast Fourier Transformation (FFT) to accurately determine the rotational tilt angle in Transmission Electron Microscopy (TEM) tomography. This method improves tomogram reconstruction quality, even without visible fiducial markers.
Area of Science:
- Electron Microscopy
- Structural Biology
- Image Processing
Background:
- Accurate Transmission Electron Microscopy (TEM) tomography relies on precise alignment of image tilt-stacks.
- Gold nanobeads are commonly used as fiducial markers for determining image rotation axes, but their distribution can be poor or they may be absent.
- The rotational tilt angle is a critical parameter for high-quality tomographic reconstruction, yet its precise determination is often overlooked.
Purpose of the Study:
- To present a straightforward method for determining the rotational tilt angle in TEM tomographic reconstructions.
- To provide a tool that enhances tomogram quality by accurately calculating the rotation axis offset angle.
- To offer a solution for image alignment in TEM tomography, applicable with or without fiducial markers.
Main Methods:
- Utilized the Fast Fourier Transformation (FFT) property to calculate the rotational tilt angle.
- Employed publicly available software packages, IMOD and ImageJ, for the analysis.
- Applied the method to diverse biological samples, including cryo-samples with and without fiducials.
Main Results:
- Successfully determined the rotational tilt angle using FFT, independent of fiducial marker visibility or distribution.
- Reconstructed tomograms exhibited improved quality, notably lacking the characteristic "arc" distortion in cross-sections.
- Demonstrated the tool's versatility on both cryo-samples and embedded thin sections.
Conclusions:
- The FFT-based tool provides a reliable and accessible method for determining the rotational tilt angle in TEM tomography.
- This technique significantly improves tomogram reconstruction accuracy and quality, particularly in challenging cases lacking adequate fiducial markers.
- The developed tool can be readily integrated into existing TEM image processing workflows for enhanced alignment and reconstruction.
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