V.I. Zhulev1, T.A. Zhilnikov2, A.A. Zhilnikov3

1 FSBEI HE Ryazan State Radio Engineering University named after V.F. Utkin (Ryazan, Russia)

2,3 The Academy of the Federal Penitentiary Service of Russia (Ryazan, Russia)

1 zhulev.v.i@rsreu.ru, 2 quadrus02@mail.ru, 3 ark9876@mail.ru

Non-invasive detection of magnetizable inclusions in biological objects is a pressing issue in medicine and medical technology. Existing introscopy methods have limitations and are not always applicable in practice, necessitating the search for alternative approaches. Magnetic research is considered a promising area, particularly an original method for non-invasive examination of a biological object aimed at identifying such inclusions. During controlled spatial movement of a flat magnetically sensitive organ by tilting and rotating the scanning plane, projection data are formed in the form of linear projections of "plane sums." The latter are integral sums of the magnetic flux distribution function over the plane, containing averaged information, forming only a blurred image in which the interfaces between the media are lost against a background of smooth field variations. As a result, direct localization of such objects is significantly complicated. As a solution to this problem, this paper proposes the use of a procedure for differentiation in a selected direction, designed to determine the local gradient of the magnetic flux density, i.e., The rate of field change along a given spatial coordinate.

To describe a procedure for differentiating initial projection data along a selected direction within a noninvasive research method, allowing for the localization of magnetizable inclusions within a biological object using their extrema.

The proposed approach increases the information content of magnetotomographic studies and can serve as a basis for the creation of specialized software and algorithmic support for non-invasive diagnostic systems.

The introduction of a procedure for differentiating initial projection data along a selected direction within a noninvasive research method for biological objects, by suppressing constant and slowly changing components of the magnetic field and enhancing spatial variations in areas of abrupt changes, transforms a blurred image into clear local extrema, thereby enabling the unambiguous determination and visualization of the spatial boundaries of magnetizable inclusions within a biological object.

Zhulev V.I., Zhilnikov T.A., Zhilnikov A.A. Differential extraction of boundaries of magnetizable inclusions on tomographic images of fields // Biomedicine Radioengineering. 2026. V. 29. № 5. Р. 35-42. DOI: https://doi.org/10.18127/j15604136-202605-05

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