Thermodynamic analogies for the characterization of 3D human coronary arteries

Bulant, Carlos A.; Blanco, Pablo; Clausse, Alejandro; Bezerra, Cristiano Guedes; Lima, T. P.; Ávila, Luiz Francisco Rodrigues de; Lemos, Pedro A.; Feijóo, Raúl A.

doi:10.1016/j.bspc.2017.09.015

Cited by 3 publications

(3 citation statements)

References 29 publications

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“…Results reported in the present study indicate that several geometric features present significant differences between CCTA and IVUS models of the very same artery. Many of these features were previously found to be associated with lesion prevalence, 30‐32 or with the RCA shape, which in turn is related to disease 32 . Furthermore, in Reference 10, it was shown evidence of potential heritability of arterial geometry, and, according to the results shown here, some of the features identified as heritable markers (for the LAD and LCX) present significant differences when quantified from CCTA or IVUS models, specifically,

false{\overset{r}{true}, ξ_{κ}, κ_{T}, T_{\overset{false¯}{\overset{κ}{true}}}

}.…”

Section: Discussionmentioning

confidence: 99%

“… a Index

\overset{\overset{false¯}{normalx}}{true}

is such that

\overset{\overset{false¯}{normalx}}{true} \in ({},,, \overset{false¯}{\overset{n}{true}}, \overset{false¯}{\overset{r}{true}}, \overset{false¯}{\overset{κ}{true}})

, where

\overset{\overset{false¯}{n}}{true}

represents the mean number of intersection points between the curve that represents the vessel centerline and a random plane in the three‐dimensional space;

\overset{\overset{false¯}{r}}{true}

and

\overset{\overset{false¯}{κ}}{true}

stand for the expected centerline‐bin partition index representing point‐wise radius and curvature distributions 32 . Then, this leads to nine features based on the thermodynamic framework (entropy, temperature and pressure for each of these variables). …”

Section: Methodsmentioning

confidence: 99%

See 1 more Smart Citation

Coronary arterial geometry: A comprehensive comparison of two imaging modalities

Blanco¹,

Bulant

Bezerra

et al. 2021

Numer Methods Biomed Eng

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The characterization of vascular geometry is a fundamental step towards the correct interpretation of coronary artery disease. In this work, we report a comprehensive comparison of the geometry featured by coronary vessels as obtained from coronary computed tomography angiography (CCTA) and the combination of intravascular ultrasound (IVUS) with bi‐plane angiography (AX) modalities. We analyzed 34 vessels from 28 patients with coronary disease, which were deferred to CCTA and IVUS procedures. We discuss agreement and discrepancies between several geometric indexes extracted from vascular geometries. Such an analysis allows us to understand to which extent the coronary vascular geometry can be reliable in the interpretation of geometric risk factors, and as a surrogate to characterize coronary artery disease.

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false{\overset{r}{true}, ξ_{κ}, κ_{T}, T_{\overset{false¯}{\overset{κ}{true}}}

}.…”

Section: Discussionmentioning

confidence: 99%

“… a Index

\overset{\overset{false¯}{normalx}}{true}

is such that

\overset{\overset{false¯}{normalx}}{true} \in ({},,, \overset{false¯}{\overset{n}{true}}, \overset{false¯}{\overset{r}{true}}, \overset{false¯}{\overset{κ}{true}})

, where

\overset{\overset{false¯}{n}}{true}

represents the mean number of intersection points between the curve that represents the vessel centerline and a random plane in the three‐dimensional space;

\overset{\overset{false¯}{r}}{true}

and

\overset{\overset{false¯}{κ}}{true}

Section: Methodsmentioning

confidence: 99%

Coronary arterial geometry: A comprehensive comparison of two imaging modalities

Blanco¹,

Bulant

Bezerra

et al. 2021

Numer Methods Biomed Eng

View full text Add to dashboard Cite

show abstract

“…However, the 3D spatial structure of the blood vessels superimposed on a 2D image may overlap each other in the contrast image and obstruct the doctor's observation, which is the main disadvantage of X-ray imaging. Reconstruction of the contrast image can fully mine the information of the contrast image and obtain the best perspective from the 3D reconstructed image, which can effectively improve the accuracy of the quantitative analysis of clinical medical parameters [1,2], estimate the vascular motion parameters, and study the condition of the heart movement. This technique has great clinical value.…”

Section: Introductionmentioning

confidence: 99%

3D Reconstruction with Coronary Artery Based on Curve Descriptor and Projection Geometry-Constrained Vasculature Matching

Tong

Wang

et al. 2022

Information

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This paper presents a novel method based on a curve descriptor and projection geometry constrained for vessel matching. First, an LM (Leveberg–Marquardt) algorithm is proposed to optimize the matrix of geometric transformation. Combining with parameter adjusting and the trust region method, the error between 3D reconstructed vessel projection and the actual vessel can be minimized. Then, CBOCD (curvature and brightness order curve descriptor) is proposed to indicate the degree of the self-occlusion of blood vessels during angiography. Next, the error matrix constructed from the error of epipolar matching is used in point pairs matching of the vascular through dynamic programming. Finally, the recorded radius of vessels helps to construct ellipse cross-sections and samples on it to get a point set around the centerline and the point set is converted to mesh for reconstructing the surface of vessels. The validity and applicability of the proposed methods have been verified through experiments that result in the significant improvement of 3D reconstruction accuracy in terms of average back-projection errors. Simultaneously, due to precise point-pair matching, the smoothness of the reconstructed 3D coronary artery is guaranteed.

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The optimization of parameters and matching point pairs in the 3D reconstruction of coronary artery

Tong

Wang

et al. 2021

Biomedical Signal Processing and Control

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Thermodynamic analogies for the characterization of 3D human coronary arteries

Cited by 3 publications

References 29 publications

Coronary arterial geometry: A comprehensive comparison of two imaging modalities

Coronary arterial geometry: A comprehensive comparison of two imaging modalities

3D Reconstruction with Coronary Artery Based on Curve Descriptor and Projection Geometry-Constrained Vasculature Matching

The optimization of parameters and matching point pairs in the 3D reconstruction of coronary artery

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