3-D Representation and Volumetric Measurement of Human Heart from a Cylindrical B-Spline Surface Model

Jiang, Tingting; Chen, S.Y.; Xu, Yiqiang

doi:10.1109/bmei.2008.182

Cited by 4 publications

(5 citation statements)

References 9 publications

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“…The color represents the change in stress or strain distribution, with the specific reference of the color bar. From the results, it can be seen that the stress and strain of the left ventricular model show overall nonuniform distribution [ 15 , 16 ], which is consistent with the results by other researchers [ 17 ].…”

Section: Experiments and Resultssupporting

confidence: 87%

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Solid Dynamic Models for Analysis of Stress and Strain in Human Hearts

Qin

Lu²,

Wang³

et al. 2012

Computational and Mathematical Methods in Medicine

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This paper proposes a solid model based on four-dimensional trivariate B-spline for strain and stress analysis of ventricular myocardium. With a series of processing steps in the four-dimensional medical images, the feature points of ventricular inner and outer wall are obtained. A B-spline surface is then used to build the dynamic deformation model of the myocardial walls. With such a surface model, a hexahedron control mesh can be constructed by sweeping the cloud data, and the ventricular solid model is built by fitting the trivariate B-spline parameters. Based on these models, a method of isogeometric analysis can be applied to calculate the stress and strain continuously distributed in the ventricle. The model is represented smoothly in the cylindrical coordinate system and is easy to measure myocardium dynamics for finding abnormal motion. Experiments are carried out for comparing the stress and strain distribution. It is found that the solid model can determine ventricular dynamics which can well reflect the deformation distribution in the heart and imply early clues of cardiac diseases.

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Section: Experiments and Resultssupporting

confidence: 87%

“…

V (t, w, u) = \sum_{i = 0}^{n} {true \sum}_{j = 0}^{m} \sum_{k}^{l} p_{i, j, l} N_{i, k_{1}} (t) N_{j, k_{2}} (w) N_{k, k_{3}} (u) .

Comparing with the model in Cartesian coordinates, a cylindrical coordinate model is better approximate to the shape of the heart [8]. Volumetric B-spline is the extension of B-spline surface, which can be given by the following two steps in cylindrical coordinates.…”

Section: Model Representationmentioning

confidence: 99%

Solid Dynamic Models for Analysis of Stress and Strain in Human Hearts

Qin

Lu²,

Wang³

et al. 2012

Computational and Mathematical Methods in Medicine

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show abstract

“…In this paper, a B-Spline surface model is used to represent the shape and get its volume [ 20 , 21 ]. By applying matrix form of B-Spline, we obtain a polynomial B-Spline representation with two unitary parameters.…”

Section: Model Representationmentioning

confidence: 99%

“…To calculate the volume of B-Spline surfaces, the polynomial expressions of B-Spline surface are given [ 20 ]. Let ∂ S /∂ t and ∂ S /∂ w denote the derivatives of S ( u , v ) with respect to t and w , respectively.…”

Section: Volumetric Measurementmentioning

confidence: 99%

Modeling and Representation of Human Hearts for Volumetric Measurement

Qin

Wang

2012

Computational and Mathematical Methods in Medicine

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This paper investigates automatic construction of a three-dimensional heart model from a set of medical images, represents it in a deformable shape, and uses it to perform volumetric measurements. This not only significantly improves its reliability and accuracy but also makes it possible to derive valuable novel information, like various assessment and dynamic volumetric measurements. The method is based on a flexible model trained from hundreds of patient image sets by a genetic algorithm, which takes advantage of complete segmentation of the heart shape to form a geometrical heart model. For an image set of a new patient, an interpretation scheme is used to obtain its shape and evaluate some important parameters. Apart from automatic evaluation of traditional heart functions, some new information of cardiovascular diseases may be recognized from the volumetric analysis.

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“…The volume can be expressed as [18]:

V = \int_{z_{1}}^{z_{2}} A false(Z false) d z

where A ( z ) is the area of the slice at depth z .…”

Section: Shape Representation For Volumetric Measurementmentioning

confidence: 99%

Myocardial Motion Analysis for Determination of Tei-Index of Human Heart

Chen

Zhang

et al. 2010

Sensors

Self Cite

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The Tei index, an important indicator of heart function, lacks a direct method to compute because it is difficult to directly evaluate the isovolumic contraction time (ICT) and isovolumic relaxation time (IRT) from which the Tei index can be obtained. In this paper, based on the proposed method of accurately measuring the cardiac cycle physical phase, a direct method of calculating the Tei index is presented. The experiments based on real heart medical images show the effectiveness of this method. Moreover, a new method of calculating left ventricular wall motion amplitude is proposed and the experiments show its satisfactory performance.

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3-D Representation and Volumetric Measurement of Human Heart from a Cylindrical B-Spline Surface Model

Cited by 4 publications

References 9 publications

Solid Dynamic Models for Analysis of Stress and Strain in Human Hearts

Solid Dynamic Models for Analysis of Stress and Strain in Human Hearts

Modeling and Representation of Human Hearts for Volumetric Measurement

Myocardial Motion Analysis for Determination of Tei-Index of Human Heart

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