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Vascular and Intravascular Imaging Trends, Analysis, and Challenges, Volume 1
https://t.me/medicina_free
Figure 6.6. Comparison between ground-truth (green) and segmentation results (red): (a) s–t graph cut result, (b) single-interface result and (c) double-interface result.
these methods, Zhang et al [28] proposed a region-based signed pressure force that combines the Chan–Vese model and geodesic active contour model and utilises a Gaussian lter to avoid re-initialisation of the signed distance function of the generated level set; DRLSE is a typical edge-based method without the need for level set re-initialisation using a distance regularisation term; VFC is a derived active
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Figure 6.7. (a) Ground-truth. (b) Single-interface segmentation results. (c) Double-interface segmentation results.
contour model with a proposed vector eld convolution as a new external force; and the star graph cut incorporates a star shape prior into the graph cut formulation. In terms of graph-based techniques and shape prior integrations, the proposed method is most similar to the star graph cut in principle. The proposed method is compared to the star graph cut quantitatively and qualitatively with the full acquired data of
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Table 6.2. IVUS quantitative comparison. Mean value (standard deviation).
AMD HD AO Sens. Spec.
Texture-RBF method [17] 21.68 49.82 83.67 87.92 95.60
(13.37) (27.99) (8.92) 10.14 (4.70)
Single-interface with 1st GD 21.94 53.77 83.57 84.57 98.87
(19.36) (39.64) (13.37) (13.95) (1.55)
Proposed method 15.38 39.31 87.91 90.03 97.70
(9.92) (23.40) (6.94) (6.64) (5.15)
2283 images. The other methods used in the comparison are all initialisation­dependent and thus we need to choose an appropriate iteration number for the best results, in addition to a careful choice of an initialisation. With these considerations, we randomly select 226 images from the total 2283 images to show their perform­ance in dealing with the OCT segmentation.
In gure 6.9, a set of six OCT images shows the performance of both the star graph cut [23] and the proposed method. The results for the star graph cut and the proposed method are illustrated in columns (c) and (d), respectively, while the original images and their ground-truth are listed in columns (a) and (b). It is obviously apparent that most of the cases in the star graph cut are over-segmented due to the use of balloonforce. In contrast, the proposed method generally performs quite well, although the interference of various artefacts exists. However, the proposed method is still affected in some situations due to the adversities in the OCT modality. Several examples with inferior performance are presented in gure
6.10. In row 1, the results show that a serious bifurcation leads to poor performance
of the proposed method. In addition, residual blood (shown in row 2) and guide-wire artefacts also cause undermining of border delineation, as shown in rows 3 and 4. The star graph cut performs better than the proposed method in some of these cases.
The quantitative results are presented in table 6.3. The proposed method is superior to the star graph cut in all metrics except for sensitivity. It is understandable that the sensitivity of the star graph cut is a little greater than ours because the star graph cut tends to over-segment.
To compare the proposed method to the deformable methods in capturing the lumen area of OCT images, table 6.4 shows the quantitative results of three edge/ region-based methods along with the star graph cut and our method applied to 226 images. As they lack the help of a shape prior, the overall performance of these methods is very poor. In contrast, the proposed method outperforms these techniques signicantly. In fact, the Chan–Vese method usually has the advantage over the edge-based method because the region information can be extracted appropriately. However, it is incapable of dealing with an OCT segmentation where the induced artifact is very serious, so its AMD even reaches 39.99 and the AO is merely 38.67%. Among these methods, VFC performs reasonably in terms of the use of the vector eld feature, whilst DRLSE cannot detect the lumen properly. In gure
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Figure 6.8. Comparison between ground-truth (green) and segmentation results (red): (a) original image, (b) texture-RBF method, (c) single-interface with 1st GD cost function and (d) proposed double-interface method.
6.11, four examples are presented to illustrate the relevant issues in these methods. In
column (c), due to the nature of the Chan–Vese method, the lumen area is always segmented as the background while the bright area is detected. So, the method in [28] is impotent in dealing with the OCT image. In contrast, VFC can perform well in some cases but it meets great difculties in a situation with serious artefacts, such as
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Figure 6.9. Comparison with star graph cut. (a) Original image. (b) Ground-truth. (c) Star graph cut. (d) Proposed method.
the last three cases. A quite similar performance occurs for the method of DRLSE. However, its overall performance is poorer than VFC because it is sensitive to weak edges. It is worth noting that DRLSE and VFC can work well when the artifact interference is acceptable, such as the rst case (gure 6.11).
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Figure 6.10. Cases with inferior performance of the proposed method. (a) Original image. (b) Ground-truth. (c) Star graph cut. (d) Proposed method.
Table 6.3. Quantitative results with 2283 images for the star graph cut [23] and the proposed method.
Star graph cut [23] 5.85 22.11 91.27 96.52 98.07
Proposed method 4.94 19.09 92.51 96.03 98.85
AMD HD AO Sens. Spec.
(4.28) (17.91) (5.96) (4.59) (1.65)
(4.12) (20.13) (5.43) (4.66) (1.11)
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Table 6.4. Quantitative results with 226 images between the proposed method and the methods in [12, 13, 23] and [28].
AMD HD AO Sens. Spec.
Improved Chan–Vese [28] 39.99 95.77 38.67 38.78 99.86
(20.54) (52.71) (30.54) (29.36) (0.81)
VFC [12] 14.34 50.03 80.05 85.65 97.67
(14.69) (41.53) (16.62) (17.72) (1.25)
DRLSE [13] 28.44 62.75 68.02 94.72 86.57
(9.73) (22.56) (10.83) (9.81) (3.65)
Star graph cut [23] 5.45 19.89 91.68 96.77 98.14
(3.34) (11.45) (5.39) (3.70) (1.03)
Proposed method 4.61 17.08 92.75 96.37 98.83
(2.49) (12.01) (4.45) (3.04) (1.03)
Figure 6.11. Results of the traditional methods in OCT: (a) original image, (b) ground-truth, (c) improved Chan–Vese method, (d) DRLSE method, (e) VFC method and (f) proposed method.
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6.7 Conclusion
Single- and double-interface segmentation methods for OCT and IVUS images were presented. The segmentation problem is dened here as the delineation of the media–adventitia border in IVUS and lumen–intima border in OCT. Images were unravelled to polar coordinates, which facilitate the removing of the catheter ring­down artifact and converting the segmentation problem into nding the minimum closed set graph that implies the border of interest. Steerable Gaussian derivative, Gabor and local phase features are extracted from images that utilise image intensity and texture information to highlight the desired border at different orientations and scales. A new image feature is introduced that is derived from global interactions of gradient vectors across the whole image domain. Laplacian diffusion is employed to rene image features so as to produce more coherent segmentation.
For IVUS segmentation, an automatic double-interface segmentation method is proposed, whose cost functions combine local and global image features and whose geometric constraint is integrated in the graph construction. An auxiliary interface is simultaneously searched to prevent undesirable image features from interfering with the segmentation of the media–adventitia border. Qualitative and quantitative comparison showed superior performance of the proposed method to the traditional graph cut method or single-interface segmentation. For OCT segmentation, a single
-interface segmentation is proposed with a cost function dened at the zero-crossing of the circulation density of the gradient convolution eld. Experimental results in OCT images demonstrate promising performance in comparison to the star graph cut method. It is also evident that the proposed method takes great advantage of the traditional edge/region-based deformable methods.
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