Volume 32 #1

Contents

1. Variability of different functional songs types from Aelia acuminata L. (Heteroptera, Pentatomidae)
2. Receptive field sizes of sustained ganglion cells in the retina of Carassius gibelio
3. Fusion of radar, visible and thermal imagery with account for differences in brightness and chromaticity perception
4. Modelling of the unmanned aerial vehicle navigation on the basis of two height-shifted onboard cameras
5. Visual localisation of aerial images on vector map using colour-texture segmentation
6. Comparison of the digitized pages of business documents by means of recognition
7. The algorithm of epipole position estimation under pure camera translation
8. Segmentation of vehicle registration plates based on dynamic time warping
9. Finding the correspondence between closed curves under projective distortions
10. Blur kernel estimation with algebraic tomography technique and intensity profiles of object boundaries
11. Weighted search for a projective optical flow resistant to specular reflections
12. Algebraic methods for tomography problem
13. Quantitative analysis of the point light source virtual image doubling in underwater stereo vision

The method of computer tomography allows reconstructing the 3D internal structure of an object without physical destruction. The object is probed by X-ray radiation, the measure equipment collects the radiation weak as it passes through the object, and the solution of the inverse problem allows us to reconstruct the spatial distribution of the linear attenuation coefficient. The distribution is associated with the description of the studied object structure. However, the distribution of the attenuation coefficient indicates little about the chemical composition of the object under study. The reason is that the linear attenuation coefficient is a linear composition of the element contributions, whose absorption and fluorescence spectra are resolved in the x-ray range. If the measure set-up is supplemented with energy-sensitive equipment measuring the fluorescent radiation generated by the sample, we get a new technique – X-ray fluorescence tomography. It promises to estimate the local elemental composition. In this paper we first present an overview of known approximations of the problem and compare the algebraic approach with other methods. We analyze three types of measurement set-ups: scanning with a focused probe, a scheme using a confocal collimator in front of the detector window, a measuring scheme using a pinhole between the object and the detector. Reconstruction error calculation is discussed.

Key words: tomography, algebraic reconstruction techniques, approximation

DOI: 10.7868/S0235009218010122

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