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JOURNALS // Fundamentalnaya i Prikladnaya Matematika // Archive

Fundam. Prikl. Mat., 2020 Volume 23, Issue 2, Pages 37–56 (Mi fpm1882)

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

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.

UDC: 004.932:004.925


 English version:
Journal of Mathematical Sciences (New York), 2022, 262:5, 617–629


© Steklov Math. Inst. of RAS, 2024