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Vascular and Intravascular Imaging Trends, Analysis, and Challenges, Volume 1
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It was found that the time-averaged WSS is more reduced in aneurysms far away from the curvature peak. This larger reduction is attributed to the secondary ow being reduced further downstream from the curvature peak. The haemodynamic variable reduction can be correlated to vascular morphology near the aneurysm. This was further studied in a follow-up clinical study [52].
5.5.5 Flow diverter length change and future research
A novel method for the computation of changes in ow diverter length has been proposed recently [53]. This method rapidly computes the length of a braided device when released inside a vessel. This method is designed to aid the interventional neuroradiologist during treatment. The aim is to provide, in real time, a prediction of the change in length of the FD when being placed in the patients anatomy. The challenge comes with the fact that currently, FDs are braided devices. Because of this, a change in diameter of the device implies a substantial change in its total length. Furthermore, the irregular and tortuous geometry of cerebral vasculature make it very complicated to predict the nal length of an FD when placed in the patient anatomy.
The method, initially assessed in [54], is capable of estimating the proximal end point of the device based on quantitative information of the patient anatomy and the distal release position of the stent (gure 5.9(a)). This method has been tested in FDs placed in real patient anatomies. In gure 5.9 (b) are shown two views for a Silk stent (Balt Extrusion, Montmorency, France) placed in an internal carotid artery. It can be observed that the total length of the device is accurately estimated, although the
Figure 5.9. (a) Schematic representation of the anatomical descriptors of the vascular district. The function
relates the local morphology of the vessel with the length change of the FD. This results in a different
fr()
change in the total length of the device according to the position where it is deployed inside the vessel.
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vascular anatomy is complex and tortuous. This simulation indicates that a total change of 62% more than the total FD length was observed after placement in the patient anatomy. Its robustness and sensitivity to segmentation of the vessel geometry was also assessed, showing a good performance and tolerance to error in the segmentation threshold [55].
The performance of this method has also been clinically evaluated when used to simulate different brands and types of braided stents, showing an accuracy of over 92% in average, when assessing the nal length of the implanted device [56, 57].
Simulation of ow diverter porosity is yet another tool with a promising future in the selection of devices for aneurysm treatment. This technique is still under assessment, and further results will evidence its clinical potential [58]. Furthermore, its combination with CFD has the potential of allowing its use inside the clinic, due to its computationally lower cost [5961].
The predictive value of computational models is greatly appreciated in the clinic. The ability to plan one or more treatment alternatives and being able to assess their outcome can help in identifying potentially harmful or dangerous situations. Also, the fact that such tools can be used within the intervention room or, equivalently, obtain a response in real time, opens the possibility of them being used in day-to-day clinical practice.
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Section III
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Vessel and stent segmentation
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IOP Publishing
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Vascular and Intravascular Imaging Trends, Analysis, and
Challenges, Volume 1
Stent applications
Petia Radeva and Jasjit S Suri
Chapter 6
Graph-based cross-sectional intravascular image
segmentation
Ehab Essa, Xianghua Xie, Huaizhong Zhang, James Cotton and Dave Smith
We present a fully automatic segmentation approach to detect the media–adventitia border in intravascular ultrasound (IVUS) and the lumen border in optical tomography (OCT) images. A graph-based segmentation method is developed to accurately estimate the borders. Segmentation in IVUS and OCT has been shown to be an intricate process due to the relatively low contrast and various forms of interferences and artifacts caused by, for example, calcication, stents and acoustic shadows. Graph-cut-based methods often require careful manual initialisation and produce inconsistent tracing of the border. We propose unravelling the image and transferring the object segmentation into a height eld segmentation in polar coordinates. Thus, the border of interest is obtained by searching a minimum closed set on a node weighted directed graph. We use a double-interface automatic graph cut technique to prevent the extraction of media–adventitia border in IVUS from being distracted by those image features. The cost functions are derived by using a combination of complementary texture features. For OCT, a novel image feature is incorporated into the solution scheme, which is derived from a vector eld that takes into account gradient vector interactions across the image domain. In addition, Laplacian diffusion is employed to improve the performance of our method for dealing with excessive noise. Evaluation results demonstrate that our method achieves better performance compared to a number of alternative segmentation techniques.
6.1 Introduction
IVUS and OCT imaging are catheter-based technologies, which show two­dimensional cross-sectional images of the coronary structure. There are two types of borders of interest: the lumen–intima border, which corresponds to the inner
doi:10.1088/2053-2563/ab01fach6 6-1 ª IOP Publishing Ltd 2019
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arterial wall, and the media–adventitia border, which represents the outer coronary arterial wall. The appearance of both borders in IVUS or OCT images is affected by various forms of imaging artifacts, such as acoustic shadows caused by the catheter guide-wire, calcium in IVUS, or the stent in OCT.
Among many other techniques, formulating the IVUS and OCT segmentation as a combinatorial optimisation [6, 7, 10, 14, 18, 20, 21, 24, 27] of a cost function based on local image features has been a popular approach. In [18], dynamic programming is used to search a minimum path based on a cost function that incorporates edge information with a simplistic prior relying on assumed echo pattern and border thickness. Manual initialisation is generally necessary. In [21], the border detection is carried out on the envelope data before scan conversion. The authors applied spatio­temporal lters to highlight the lumen, based on the assumption that the blood speckles have higher spatial and temporal variations than the arterial wall, followed by a graph-searching method similar to [18]. However, image features introduced by acoustic shadows or a metallic stent would seriously undermine their assumption. Catheter movement can also cause spatial and temporal uctuations, which lead to ambiguities. The s–t cut method [14] is employed in [24] to segment 3D IVUS data. The vertical intensity pattern along the borders, the Rayleigh distribution and the Chan–Vese minimum variance criterion are used in designing the cost functions. These intensity-based features are susceptible to image variations that commonly exist in IVUS, such as calcication and acoustic shadows.
Several methods rely on user interaction to obtain a good result [1, 2, 10, 20]. However, these methods can be time-consuming and impractical with a large image size and/or a large number of images. For example, in the conventional graph cut [1, 2], user interaction is necessary to infer the unary cost for each pixel. In addition, the denition of smoothness pairwise cost is mainly derived from edge features, which becomes less useful in the obscure regions of the image. In [20], a semi­automatic graph-based method is proposed that repetitively requires the user to interactively correct the segmentation result on the longitudinal view until satisfac­tory segmentation is achieved.
Li et al [14] proposed a terrain-like multiple surface segmentation method by constructing a weighted directed graph that allows imposing some geometrical constraints to dene the elasticity of each surface and the inter-relation with other surfaces, and to search for the minimum closed, subgraph set containing the surface on its envelope by utilising the s–t cut method to minimise the cost function and without the need for user intervention. This method is well suited to IVUS/OCT segmentation, however, dealing with image artifacts, dening the optimal cost function and adapting the graph construction are the major challenges, as described in [ 6, 7, 27].
In this chapter, a bottom-up data-driven approach is presented to segment IVUS and OCT images. For IVUS segmentation, a double-interface graph cut segmenta­tion is proposed to delineate the media–adventitia border, in order to achieve reliable results automatically. The impediments, such as stents or brotic and calcium plaques, appear inside the media–adventitia border, and the acoustic signal decays rapidly in the adventitia, so there are generally no strong features beyond the
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media–adventitia border. This observation inspired us to apply an additional interface searching inside the media–adventitia border which links those undesired image features, including partial lumen border, and hence preserves the border of interest. A combination of complementary texture features is used to form the basis of the boundary-based cost functions. For OCT segmentation, a single-interface graph cut segmentation is proposed to delineate the lumen border. Moreover, a novel image feature is incorporated into the cost function, instead of merely using image intensity or the local gradient magnitude. The image feature is derived from the gradient vector interaction across the image domain and possesses the character­istics of regional features.
6.2 Pre-processing
The pre-processing step is to transform images from Cartesian coordinates to polar coordinates and to remove the catheter region from the transformed images. Representing the images in polar coordinates is desirable to facilitate feature extraction with equal emphasis on radial and tangential dimensions. It also facilitates the automated graph cut in searching for minimum closed sets. Moreover, the post-processing can then be carried out more efciently since it becomes a one-dimensional interpolation instead of two-dimensional.
The catheter generates a blank region which contains no information and is surrounded by a ring-down artifact which may hamper the search process for nding the minimum cost path for the desired border. The ring-down artifact is located in the rst rows of the transformed image, and it is approximately a constant. Therefore, a simple thresholding method is used to remove that region, as shown in gure 6.1(c).
6.3 Feature extraction
In IVUS imaging, the media layer largely consists of homogeneous smooth muscle, which exhibits as a dark layer in ultrasound images, and the adventitia layer tends to be brighter, see gure 6.1 as an example. Hence, edge-based features are appropriate to extract the media–adventitia border. In OCT imaging, the lumen appears to be much darker because blood is ushed out before imaging. The intima and other tissues, including plaque, surrounding the lumen have a bright appearance. Hence, the lumen–intima border shows good contrast, i.e. image gradient features may be
Figure 6.1. (a) An original IVUS image. (b) Polar transformed image. (c) After removing the catheter region (green curve shows the ground-truth of the media–adventitia border).
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adopted to highlight the border. However, a guide-wire artifact and other interfering image features commonly exist inside the artery and they cast shadows over the border of interest, disrupting its continuity. Those imaging artifacts generally have large responses to image-gradient-based feature extraction.
6.3.1 Steerable lter
A steerable lter is a linear combination of differently oriented instances of the baselter. A set of n order derivatives of Gaussian (GD) lters
Gxy(, )
n
in different orientations can be used to highlight the edge features along the border. The steerable lters can be dened as a linear combination of a set of Gaussian derivatives [9]:
where
Gxy(, )
θ ⩽⩽
j
θθ
Gxy k G xy(, ) () (, ),
n
θ
n
jM(),1
is the rotated version of
are interpolation functions.
=
jM1
j
θ=
j
n
Gxy(, )
n
at θ orientation and
(6.1)
Steering derivatives in the direction of the gradient makes them invariant to rotation. These steerable lters are more effective in highlighting oriented structure, e.g. edges, than isotropic band-pass lters, particularly when there is noise interference [9].
6.3.2 The log-Gabor lter
The Gabor lter acts as a band-pass lter that has been used in texture analysis to exploit its similarity with the human visual system [5, 22] and performs multi­channel, frequency and orientation analysis on the visual image. The Gabor lter can achieve optimal joint localisation in the spatial and frequency domains. Gabor lters have two components, a real part and an imaginary part, where the Gabor function is a multiplication of a Gaussian function and a complex sinusoid function in the spatial domain, corresponding to a Gaussian shift from the centre of frequency in the Fourier domain. Here, the log-Gabor lter [8] is used in different scales to enhance the border and to reduce speckles and other image artifacts. The log-Gabor function,
, has a frequency response dened as a symmetric
Gf()
Gaussian on a log frequency axis:
() exp
=−LG f
[log( )]
2[log( )]
ff
σ
2
0
, (6.2)
2
f
0
where f0is the centre frequency of the lter, and σ is the lter bandwidth. The log­Gabor function has no DC component for any bandwidth lter compared to the Gabor function.
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