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JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive

Sib. Èlektron. Mat. Izv., 2024 Volume 21, Issue 1, Pages 307–314 (Mi semr1686)

Computational mathematics

Correction of intensity inhomogeneity in magnetic resonance images using ramp filter

I. G. Kazantseva, A. K. Tankibayevab, S. K. Kumargazhanovab, B. N. Azamatovb

a The Institute of Computational Mathematics and Mathematical Geophysics, prosp. Akademic Lavrentiev 6, 630090, Novosibirsk, Russia
b D. Serikbayev East Kazakhstan Technical University, D. Serikbayev str. 19, 070004, Ust-Kamenogorsk, Kazakhstan

Abstract: The paper deals with the problem of correcting the intensity nonuniformity in magnetic resonance images. This problem is due to the peculiarities of the imaging equipment, may be caused by magnetic coils, and other technical reasons. In the paper, the method of removing such noise using ramp filter known also as the rho filter is considered. The numerical experiments on test images and real-world images of small animals are presented.

Keywords: magnetic resonance imaging, intensity inhomogeneity correction, bias field, ramp filter.

UDC: 519.6

MSC: 92C55

Received September 24, 2023, published May 23, 2024

Language: English

DOI: doi.org/10.33048/semi.2024.21.023



© Steklov Math. Inst. of RAS, 2025