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Non-rigid registration between 3D ultrasound and CT ... - isl, ee, kaist

Non-rigid registration between 3D ultrasound and CT ... - isl, ee, kaist

Non-rigid registration between 3D ultrasound and CT ... - isl, ee, kaist

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<strong>Non</strong>-<strong>rigid</strong> <strong>registration</strong> <strong>betw<strong>ee</strong>n</strong> <strong>3D</strong> <strong>ultrasound</strong> <strong>and</strong> <strong>CT</strong> images of the liver 121(a)(b)(c)(d)Figure 2. Relationship <strong>betw<strong>ee</strong>n</strong> US <strong>and</strong> <strong>CT</strong> images of vessels: (a) US image, (b) contrast-enhanced<strong>CT</strong> image, (c) <strong>and</strong> (d) gradient orientations of a vessel region in US <strong>and</strong> <strong>CT</strong> images, respectively.In a contrast-enhanced <strong>CT</strong> image, the intensity values of vessels are higher than those of softtissue, as shown in figure 2(b). Therefore, in a statistical sense, the intensity values of a USimage are likely related to those of a <strong>CT</strong> image in the vessel region. The edge orientation canalso be a common feature of US <strong>and</strong> <strong>CT</strong> vessels, as shown in figures 2(c) <strong>and</strong> (d). Thus, it canalso be used as important information in the <strong>registration</strong>.The liver surface has high reflectivity to the US beam if the acoustic impedance differenceis large <strong>betw<strong>ee</strong>n</strong> the regions inside <strong>and</strong> outside the liver. Hence, the corresponding liver surfaceprovides high intensity values in US images. Meanwhile, the <strong>CT</strong> liver image shows a definiteboundary for the liver surface by providing different intensity values <strong>betw<strong>ee</strong>n</strong> regions inside<strong>and</strong> outside the liver. Therefore, the liver surface in the <strong>CT</strong> image provides high gradientvalues, which can be related to the high intensity values in the US image, as shown in the solidboxes in figures 3(a) <strong>and</strong> (b). In addition, the edge orientation is useful information, as it isavailable in both US <strong>and</strong> <strong>CT</strong> images <strong>and</strong> is strongly correlated <strong>betw<strong>ee</strong>n</strong> them. Figures 3(c)<strong>and</strong> (d) demonstrate the edge orientation via arrows within a liver surface region.In contrast to the liver surface with a large acoustic impedance difference, the GB surfaceattached to the liver shows a definite boundary with different intensity values <strong>betw<strong>ee</strong>n</strong> regionsinside <strong>and</strong> outside the GB in both US <strong>and</strong> <strong>CT</strong> images, as shown in the dotted boxes infigures 3(a) <strong>and</strong> (b). Hence, the intensity values are directly correlated with each other. Edgeorientations in the GB surface region are also highly correlated, as shown in figures 3(e) <strong>and</strong>(f).2.2. Overview of the proposed algorithmBased on the image characteristics described above, we propose an accurate <strong>registration</strong>algorithm <strong>betw<strong>ee</strong>n</strong> the US <strong>and</strong> <strong>CT</strong> images of the liver. A diagram of the proposed algorithm

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