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Fundamentalnaya i Prikladnaya Matematika, 2020, Volume 23, Issue 2, Pages 37–56 (Mi fpm1882)  
This article is cited in 1 scientific paper (total in 1 paper)

Reconstruction of 3D geometry of coronary arteries

V. V. Borisenkoa, T. N. Veselovab, S. K. Ternovoycb, A. M. Chepovskiyd

a Lomonosov Moscow State University, Moscow, Russia
b Russian Cardiology Research and Production Complex, Moscow, Russia
c I. M. Sechenov First Moscow State Medical University (Sechenov University), Moscow, Russia
d National Research University “Higher School of Economics,” Moscow, Russia
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Abstract: We consider the problem of 3D reconstruction for the internal surface of aorta and coronary arteries. This is needed for the creation of a hydrodynamic model of blood supply to the heart. The initial data are transverse tomographic sections of the heart of a particular patient with a thickness of 0.5 mm. Triangulation of the aorta and coronary arteries is to be used to calculate a blood flow in the software package FlowVision, designed for modeling three-dimensional flows of liquid and gas. The simulation results are planned to be applied in practical medicine for the diagnosis of myocardial ischemia.
Triangulation is calculated using a three-dimensional Seeded Region Growing algorithm that creates a set of voxels. Then the triangulation of the surface of this set is constructed and smoothed by the Subdivision Surface method. We also describe a semi-automatic procedure to define a Region of Interest used to separate the aorta and coronary arteries from the inner volume of heart, veins and other structures that should not be included in the constructed triangulation.
Funding agency Grant number
Russian Foundation for Basic Research 18-29-26012
The reported study was funded by RFBR according to the research project No. 18-29-26012.
English version:
Journal of Mathematical Sciences (New York), 2022, Volume 262, Issue 5, Pages 617–629
DOI: https://doi.org/10.1007/s10958-022-05842-8
Document Type: Article
UDC: 004.932:004.925
Language: Russian
Citation: V. V. Borisenko, T. N. Veselova, S. K. Ternovoy, A. M. Chepovskiy, “Reconstruction of 3D geometry of coronary arteries”, Fundam. Prikl. Mat., 23:2 (2020), 37–56; J. Math. Sci., 262:5 (2022), 617–629
Citation in format AMSBIB
\Bibitem{BorVesTer20}
\by V.~V.~Borisenko, T.~N.~Veselova, S.~K.~Ternovoy, A.~M.~Chepovskiy
\paper Reconstruction of 3D geometry of coronary arteries
\jour Fundam. Prikl. Mat.
\yr 2020
\vol 23
\issue 2
\pages 37--56
\mathnet{http://mi.mathnet.ru/fpm1882}
\transl
\jour J. Math. Sci.
\yr 2022
\vol 262
\issue 5
\pages 617--629
\crossref{https://doi.org/10.1007/s10958-022-05842-8}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Фундаментальная и прикладная математика
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