Small-angle scattering tensor tomography algorithm for robust reconstruction of complex textures
Journal article, 2023

The development of small-angle scattering tensor tomography has enabled the study of anisotropic nanostructures in a volume-resolved manner. It is of great value to have reconstruction methods that can handle many different nanostructural symmetries. For such a method to be employed by researchers from a wide range of backgrounds, it is crucial that its reliance on prior knowledge about the system is minimized, and that it is robust under various conditions. Here, a method is presented that employs band-limited spherical functions to enable the reconstruction of reciprocal-space maps of a wide variety of nanostructures. This method has been thoroughly tested and compared with existing methods in its ability to retrieve known reciprocal-space maps, as well as its robustness to changes in initial conditions, using both simulations and experimental data. It has also been evaluated for its computational performance. The anchoring of this method in a framework of integral geometry and linear algebra highlights its possibilities and limitations.

reciprocalspace maps


smallangle X-ray scattering



tensor tomography


Leonard Nielsen

Chalmers, Physics, Materials Physics

Paul Erhart

Chalmers, Physics, Condensed Matter and Materials Theory

Manuel Guizar-Sicairos

Swiss Federal Institute of Technology in Lausanne (EPFL)

Paul Scherrer Institut

Marianne Liebi

Chalmers, Physics, Materials Physics

Swiss Federal Institute of Technology in Lausanne (EPFL)

Paul Scherrer Institut

Acta Crystallographica Section A: Foundations and Advances

2053-2733 (eISSN)

Vol. 79 Pt 6 515-526

Subject Categories

Computational Mathematics

Computer Vision and Robotics (Autonomous Systems)

Medical Image Processing



More information

Latest update