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CSTA calculation for a small window around index t of the signal f 

CSTA calculation for a small window around index t of the signal f 

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This paper presents a fully automated approach to detect the intima and media-adventitia borders in intravascular ultrasound images based on parametric active contour models. To detect the intima border, we compute a new image feature applying a combination of short-term autocorrelations calculated for the contour pixels. These feature values are e...

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... w(l) is a small window of length L. In the proposed method, STA is computed from R l (-L/2) to R l (L/2) around each index t of the signal f(t). Then, the sum of the obtained STA values is calculated and placed in location t as shown in Fig. 1. The result is a new function (signal) F R with the same length as the original signal f produced by the sum- mation of STA in a small window around the index. We name this new function as cumulative short-term autocor- relation (CSTA). CSTA can be generalized to 2-D image signals defined at horizontal lag k 1 and vertical lag k 2 for the image I ...
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... IVUS images with different scenarios, corre- sponding manual tracing (AE1E2) and automatic segmen- tation results using the proposed method, have been presented in Fig. 5, column 1-column 3 respectively. Images without large calcified plaques and side branches are shown in Fig. 5 (Row 1, 2). To indicate the strength of the proposed methods rather than previous models, we compared the proposed active contours (PAC) with the traditional active contour (TAC) model based on Kass energy function and the gradient vector flow (GVF) model that have been widely used in previous works for border detection in IVUS images [15,16,23,24]. Figure 6 shows the results of detecting intima borders for three models and manual tracing in two IVUS images. The results of the TAC model are displayed in Fig. 6(row 1). As seen in this figure, the TAC model could not identify the intima borders in both images caused by speckle noise in the lumen area. Second row of Fig. 6 indicates the results of the GVF model. When noise and clutters in the lumen area were low, this model was able to find the intima border (Fig. 6(row 2(a))). However, when there were heavy noise and clutter patterns in the lumen, the GVF model was also involved with difficulty and could not truly find the intima (Fig. 6(row 2(b))). Detected intima borders by the PAC model are shown in Fig. 6(row 3). This model using the NCSTA feature values, could correctly extract intima even though the lumen region is too clut- tered and noisy (Fig. 6(row 3(b))). The segmentation results of media-adventitia boundaries obtained by three models and manual tracing for two other IVUS images are shown in Fig. 7. Detected media-adventitia boundaries by the TAC model are shown in Fig. 7(row 1). As shown in this figure, owning to presence of calcified plaques, this model could not truly detect the media-adventitia bound- aries in both images. The results obtained by the GVF model are displayed in Fig. 7(row 2). When there were not large calcifications, the GVF model could identify the media-adventitia boundary (Fig. 7(row 2(a))). But, due to existing of large calcified plaques with strong edges in Fig. 7(row 2(b)); the GVF model could not correctly find the media-adventitia boundary in this image. Contrary to both TAC and GVF models, the PAC model based on the segmentation algorithm described in ''Details of segmen- tation algorithm'' section could exactly detect the media- adventitia boundaries in both images ( Fig. 7(row ...
Context 3
... IVUS images with different scenarios, corre- sponding manual tracing (AE1E2) and automatic segmen- tation results using the proposed method, have been presented in Fig. 5, column 1-column 3 respectively. Images without large calcified plaques and side branches are shown in Fig. 5 (Row 1, 2). To indicate the strength of the proposed methods rather than previous models, we compared the proposed active contours (PAC) with the traditional active contour (TAC) model based on Kass energy function and the gradient vector flow (GVF) model that have been widely used in previous works for border detection in IVUS images [15,16,23,24]. Figure 6 shows the results of detecting intima borders for three models and manual tracing in two IVUS images. The results of the TAC model are displayed in Fig. 6(row 1). As seen in this figure, the TAC model could not identify the intima borders in both images caused by speckle noise in the lumen area. Second row of Fig. 6 indicates the results of the GVF model. When noise and clutters in the lumen area were low, this model was able to find the intima border (Fig. 6(row 2(a))). However, when there were heavy noise and clutter patterns in the lumen, the GVF model was also involved with difficulty and could not truly find the intima (Fig. 6(row 2(b))). Detected intima borders by the PAC model are shown in Fig. 6(row 3). This model using the NCSTA feature values, could correctly extract intima even though the lumen region is too clut- tered and noisy (Fig. 6(row 3(b))). The segmentation results of media-adventitia boundaries obtained by three models and manual tracing for two other IVUS images are shown in Fig. 7. Detected media-adventitia boundaries by the TAC model are shown in Fig. 7(row 1). As shown in this figure, owning to presence of calcified plaques, this model could not truly detect the media-adventitia bound- aries in both images. The results obtained by the GVF model are displayed in Fig. 7(row 2). When there were not large calcifications, the GVF model could identify the media-adventitia boundary (Fig. 7(row 2(a))). But, due to existing of large calcified plaques with strong edges in Fig. 7(row 2(b)); the GVF model could not correctly find the media-adventitia boundary in this image. Contrary to both TAC and GVF models, the PAC model based on the segmentation algorithm described in ''Details of segmen- tation algorithm'' section could exactly detect the media- adventitia boundaries in both images ( Fig. 7(row ...

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