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摘要: 针对局部分割方法对初始轮廓敏感的问题，本文提出一种基于模糊主动轮廓的鲁棒局部分割方法.该方法利用图像的局部信息，定义一种新的平均模糊能量函数.通过对演化曲线进行形态学膨胀和腐蚀运算构建窄带，并在窄带范围内求解模糊能量函数的最小值来实现局部分割.为防止演化曲线陷入局部极小值，在迭代过程中加入对比度约束判断条件，进一步提高了分割方法对初始轮廓的鲁棒性.对合成图像和医学图像的分割实验结果表明，与已有的几种局部分割方法相比，本文方法在分割精度和鲁棒性等方面都有较大提高.Abstract: Since the local segmentation method is sometimes sensitive to the initial contour, a robust local segmentation method based on average fuzzy-energy based active contour is proposed in this paper. A new average fuzzy energy function is defined by using the local image information. In order to achieve local segmentation, the minimization of energy function is solved in a narrow band constructed by morphological dilation and erosion operations. A contrast constraint condition is added in the iterative process to prevent the curve from falling into local minimum, which can further improve the robustness of the segmentation model against initial contour. Experimental results on synthetic images and medical images show that, compared to several existing local segmentation methods, the proposed method has considerable improvement in segmentation accuracy and robustness.
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Key words:
- Fuzzy clustering /
- active contour /
- local segmentation /
- membership /
- contrast constraint
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图 4 无对比度约束时几种初始轮廓及其分割结果
Fig. 4 Several initial contours and corresponding segmentation results without contrast constraint
图 5 图 4 (d) 中伪边缘区域像素点的灰度值、隶属度、均值差及 $\beta$ = 1:8时分割结果
Fig. 5 The intensity, membership and difierence of pixels near the pseudo edge in Fig. 4 (d) and segmentation result when $\beta$ = 1:8
图 6 不同 $\beta$ 值对分割结果的影响
Fig. 6 The influence of difierent $\beta$ on segmentation results
图 7 合成图像的局部分割结果对比
Fig. 7 The comparison of local segmentation results on a synthetic image
图 8 磁共振脑图像尾状核的分割结果对比
Fig. 8 The comparison of caudate nucleus segmentation results on a MR brain image
图 9 磁共振脑图像侧脑室前角的分割结果对比
Fig. 9 The comparison of anterior horn of lateral ventricle segmentation results on a MR brain image
图 10 不同初始轮廓下对合成图像1的分割结果对比
Fig. 10 The comparison of segmentation results on synthetic image 1 with difierent initial contours
图 11 不同初始轮廓下对合成图像2的分割结果对比
Fig. 11 The comparison of segmentation results on synthetic image 2 with difierent initial contours
图 12 不同初始轮廓下对磁共振脑图像的肿瘤分割
Fig. 12 The comparison of tumor segmentation results on a MR brain image with difierent initial contours
图 13 对弱边缘图像的分割结果对比
Fig. 13 The comparison of segmentation results on images with weak boundary
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