Assessment of Geometric Models for the Approximation of Aorta Cross-Sections
| Autor: | Miguel Lozano, Pau Romero, Dolors Serra, Ignacio García-Fernández, Rafael Sebastian |
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| Rok vydání: | 2021 |
| Předmět: |
Mean squared error
Quantitative Biology::Tissues and Organs Physics::Medical Physics 0206 medical engineering Mathematical analysis 02 engineering and technology Function (mathematics) Ellipse 020601 biomedical engineering 030218 nuclear medicine & medical imaging Cross section (geometry) 03 medical and health sciences Spline (mathematics) 0302 clinical medicine medicine.artery medicine Thoracic aorta Segmentation Polygon mesh Mathematics |
| Zdroj: | Functional Imaging and Modeling of the Heart ISBN: 9783030787097 FIMH |
| DOI: | 10.1007/978-3-030-78710-3_9 |
| Popis: | The ellipse can be an appropriate geometry for aorta cross-section fitting on the lumen contour. However, in some regions of the aorta, such as the Sinuses of Valsalva, this approximation can suffer of a relatively high error. Thus, some authors use closed polynomial curves for a better representation of the cross section. This paper presents a detailed comparison between the use of an elliptic cross section model and a spline based model with different number of knots. We use a cohort of 32 thoracic aorta geometries (segmented triangle meshes), obtained using CT scan in the mesosystole phase of the cardiac cycle, for the assessment of both methods. We use the root mean squared error of the fitting of the studied methods to quantify their accuracy. As expected, the spline based model improves the fitting accuracy of the elliptic one and specially in complex aorta cross-sections. However, we have observed that with a high number of knots some cross sections may show high error values due to the adaption of the function to noise. |
| Databáze: | OpenAIRE |
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