DOI: https://doi.org/10.26089/NumMet.v19r446

Tomographic reconstruction of a region with a given density value

Authors

  • A.V. Likhachov

Keywords:

two-dimensional tomography
image histogram
distribution of pixel brightness

Abstract

A new tomographic method is proposed to find the object’s region filled with a homogeneous substance whose density is given. Its essence is that a pixel of the tomogram is assumed to belong to the image of the region if its brightness lies in a certain interval whose boundaries are determined from the minimum condition for the weighted sum of the error probabilities of the first and second kinds. In order to determine these probabilities, some statistical hypotheses on the distribution of pixel brightness in the reconstructed image are formulated. The adopted hypotheses are confirmed by numerical results.

New computational technologies

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Published

2018-12-24

Issue

Vol. 19 (2018): Issue 4.

Section

Section 1. Numerical methods and applications

Author Biography

A.V. Likhachov

Institute of Automation and Electrometry of SB RAS
• Senior Researcher

References

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