Abstract
The paper proposes an algorithm for the reconstruction of the defect of the product on the basis of non-destructive testing, based on the use of a reference sample of the studied object. It solves the two-dimensional problem of industrial tomography, which consists in the restoration of the image of the defect based on the use of a reference sample. Assuming that inside the object there is a defect of a flat elongated structure, the width of which is much smaller than the diameter of the object, it becomes possible to implement a fairly economical algorithm for defect reconstruction, taking into account only those elements of the projection matrix that correspond to the rays, which significantly pass through the defect.
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