Reconstruction of Left Ventricle Geometry for Finite Element Analysis Using 2D Echocardiography

Patient-specific finite element (FE) analysis of left ventricular (LV) mechanics requires a geometric model that is discretized for computation, a step that in current practice still involves considerable manual work. Because two-dimensional (2D) echocardiography is the most widely used modality for assessing LV function, we present an algorithm that converts segmented apical 2D views (one to three imaging planes) directly into a structured, layered hexahedral FE mesh controlled by three LV-specific parameters: the axial and circular divisions and the number of transmural element layers. All models generated with the same parameters share one mesh topology, so node-to-node correspondence across cardiac phases is obtained by construction and tracked endocardial motion can be imposed directly as a boundary condition. On analytical phantoms with known 3D geometry, reconstruction from three apical views reproduced the cavity volume to within 2.1% (biplane Simpson method: up to 10.8%), with a mean surface distance of 0.6–0.9 mm at a pixel size of 0.8 mm and a Dice coefficient of 0.95–0.98; reconstruction from a single view underestimated the volume by 5–20%, depending on the ellipticity of the cross-section. Applied to 36 segmented EchoNet-Dynamic images, the pipeline produced valid meshes (all elements with a positive Jacobian) in every case and at every resolution, in less than 0.2 s per model. A generic marching-cubes/TetGen route applied to the same geometry produced different node counts at end-diastole and end-systole and contained sliver elements. In a passive-filling problem (human Holzapfel–Ogden myocardium with rule-based fibers, end-diastolic pressure 8 mmHg), cavity volume, wall thickness, apex displacement, fiber strain and fiber stress changed by at most 0.8% between the 24 × 48 and the 36 × 72 surface divisions. The method therefore provides fast, controllable and FE-ready LV geometries from routine echocardiography, with an accuracy that is limited mainly by the number of available views and by the segmentation.

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Journal
Computation
Published
2026-10-27
DOI
https://doi.org/10.3390/computation14110264
Primary Topic
Cardiovascular Function and Risk Factors
Type
article
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article

Reconstruction of Left Ventricle Geometry for Finite Element Analysis Using 2D Echocardiography

Nenad Filipović, Bogdan Miličević, Miloš Kojić, Miljan Milošević et al.
Computation
Cardiovascular Function and Risk Factors
article

Reconstruction of Left Ventricle Geometry for Finite Element Analysis Using 2D Echocardiography

Nenad Filipović, Bogdan Miličević, Miloš Kojić, Miljan Milošević, Vladimir Milovanović, Mina Vasković Jovanović
article en

Abstract

Patient-specific finite element (FE) analysis of left ventricular (LV) mechanics requires a geometric model that is discretized for computation, a step that in current practice still involves considerable manual work. Because two-dimensional (2D) echocardiography is the most widely used modality for assessing LV function, we present an algorithm that converts segmented apical 2D views (one to three imaging planes) directly into a structured, layered hexahedral FE mesh controlled by three LV-specific parameters: the axial and circular divisions and the number of transmural element layers. All models generated with the same parameters share one mesh topology, so node-to-node correspondence across cardiac phases is obtained by construction and tracked endocardial motion can be imposed directly as a boundary condition. On analytical phantoms with known 3D geometry, reconstruction from three apical views reproduced the cavity volume to within 2.1% (biplane Simpson method: up to 10.8%), with a mean surface distance of 0.6–0.9 mm at a pixel size of 0.8 mm and a Dice coefficient of 0.95–0.98; reconstruction from a single view underestimated the volume by 5–20%, depending on the ellipticity of the cross-section. Applied to 36 segmented EchoNet-Dynamic images, the pipeline produced valid meshes (all elements with a positive Jacobian) in every case and at every resolution, in less than 0.2 s per model. A generic marching-cubes/TetGen route applied to the same geometry produced different node counts at end-diastole and end-systole and contained sliver elements. In a passive-filling problem (human Holzapfel–Ogden myocardium with rule-based fibers, end-diastolic pressure 8 mmHg), cavity volume, wall thickness, apex displacement, fiber strain and fiber stress changed by at most 0.8% between the 24 × 48 and the 36 × 72 surface divisions. The method therefore provides fast, controllable and FE-ready LV geometries from routine echocardiography, with an accuracy that is limited mainly by the number of available views and by the segmentation.

ComputationVol. 14(11)
Serbian Academy of Sciences and Arts (RS), University of Kragujevac (RS), Metropolitan University (RS), Institute for Information Technologies Kragujevac (RS)
Good health and well-being
Openalex Percentile: Top 11%
Cardiovascular Function and Risk Factors
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