WO2012149687A1 - Method for retinal vessel extraction - Google Patents
Method for retinal vessel extraction Download PDFInfo
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- WO2012149687A1 WO2012149687A1 PCT/CN2011/073694 CN2011073694W WO2012149687A1 WO 2012149687 A1 WO2012149687 A1 WO 2012149687A1 CN 2011073694 W CN2011073694 W CN 2011073694W WO 2012149687 A1 WO2012149687 A1 WO 2012149687A1
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- G06T2207/30101—Blood vessel; Artery; Vein; Vascular
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- the invention relates to image processing technology, in particular to a method for extracting retinal blood vessels. Background technique
- Retinal blood vessel extraction is the accurate extraction of blood vessels from the retina (the fundus) image. It is one of the important research contents in image processing, and it is also a typical research field in which image processing systems are applied clinically. Retinal blood vessel extraction results can be used to register images, and can also be used to diagnose ophthalmic diseases and other diseases (such as diabetes, high blood pressure, etc.). Therefore, retinal blood vessel extraction has attracted a lot of efforts from domestic and foreign researchers.
- the linear detection filter first enhances the blood vessels of small blood vessels and low contrast, and then uses the gradient information to detect the center line of the blood vessels, and uses morphological methods and regional growth methods to obtain blood vessels.
- Ricci et al. E. Ricci and R. Perfetti, "Retinal blood vessel segmentation using line operators and support vector classification," IEEE Transactions on Medical Imaging, vol. 26, no. 10, pp. 1357-1365, 2007
- a directional linear detector is then constructed using two mutually perpendicular linear detectors, and finally the supervised classification of blood vessels is performed using the support vector machine method.
- Wang et al. L. Wang, A. Bhalerao and R.
- the main idea of the image segmentation method based on graph theory is to map the image to the weighted directed graph (graph), the node of the pixel corresponding map in the image, the adjacent relationship between the pixels corresponds to the edge of the graph, the difference between the pixel features or The similarity corresponds to the weight on the edge, and then the various nodes are used to divide the nodes in the graph on the established graph to achieve the purpose of image segmentation.
- Image segmentation based on graph theory combines graph theory to easily deal with the advantages of local features and objective functions to easily process global information. At the same time, local features and global features are considered to achieve optimal results.
- the significance of graph theory network and objective function is The interactions are linked together.
- a retinal blood vessel extraction method comprises the steps of:
- a centerline of the retinal blood vessel is obtained, and a segmentation of the blood vessel is initialized using a marker; a map is created based on the filtered image and the initially segmented image, and the map is calculated to obtain a blood vessel in the retinal image.
- the invention effectively overcomes the influence of image noise and low contrast of blood vessels, accurately extracts retinal blood vessels, and can assist doctors in diagnosing ophthalmic diseases and diabetes, hypertension and the like. It has important application value in the fields of cerebrovascular images and blood vessel segmentation of cardiovascular images.
- FIG. 1 is a flow chart of a method for extracting a retinal blood vessel of the present invention
- FIG. 2 is an example of blood vessel extraction in a normal retinal image according to the present invention
- FIG. 2(a) is a retinal image
- FIG. 2(b) is a segmentation result obtained by using a threshold method
- FIG. 2(c) is a center line of a blood vessel
- FIG. 2(d) is the segmentation result obtained by using the present invention
- FIG. 2(e) is the result of manual segmentation by expert A
- FIG. 2(f) is the result of manual segmentation by expert B;
- 3 is an example of blood vessel extraction of a retinal image with pathological changes according to the present invention.
- Fig. 3(a) is the retinal image
- Fig. 3(b) is the segmentation result obtained using the threshold method
- Fig. 3(c) is the center line of the blood vessel
- Fig. 3(d) is the segmentation result obtained by using the present invention
- the core idea of the present invention is to propose a retinal blood vessel extraction method based on iterative graph cutting. Firstly, the retinal image is filtered by using a multi-scale method, and the center line of the blood vessel is extracted by using a threshold method and a refinement method, under the guidance of the center line. The image is iteratively labeled using a graph cut algorithm to obtain the blood vessel extraction results.
- FIG. 1 is a flow chart of an iterative map-based retinal blood vessel extraction technique provided by the present invention. Such an iterative map-based retinal vessel extraction technique provided in accordance with the present invention is described in detail below in conjunction with specific embodiments.
- Step 1 Filter the retinal image using a multi-scale method
- a retinal grayscale image its multi-scale representation is:
- s denotes variance (scale); * represents the convolution.
- a Hessian matrix for each pixel in the image is available: And find the eigenvalue of the matrix ⁇ A ⁇ , .
- the eigenvalues can be used to construct a multi-scale filtered response:
- Step 2 First, the center line of the blood vessel is obtained, and the center line of the blood vessel can be obtained using the threshold method and the refinement method; then, a plurality of markers are used to initialize the segmentation of the blood vessel, and in the present invention, four markers are used to initialize the segmentation of the blood vessel.
- the threshold method for the filtered image ( ⁇ , ⁇ t A , and then use the refinement algorithm to get the center line of the blood vessel. For the center line with the number of pixels less than ⁇ from . te , discard the center line, in order to eliminate the noise with large values. Then use the threshold method four types to mark the pixels corresponding to the image.
- the four types of markers ⁇ are: foreground seed, candidate foreground seed. ⁇ , candidate background seed ⁇ and background seed. 1) The pixel on the center line is marked as ⁇ ; 2) In addition to the pixels marked as foreground, pixels with (x, y) ⁇ t w are marked as; 3 ) pixels with t w > (x, _y) ⁇ t are marked as
- Step 3 Create a map and calculate the map to obtain blood vessels in the retinal image.
- the mapping G ⁇ i, f>.
- the K-means clustering algorithm is respectively labeled as candidate foreground seeds and candidate background seed clusters, and calculates the shortest distance c of the candidate foreground seeds and candidate background seeds to the foreground seeds, respectively, and the shortest background seeds.
- the junction of the connection graph; ⁇ 1 and two virtual sections Point S, the edge of T is defined as Z - / / € £. t—Unk is calculated as
- ⁇ is a constant with a value of 0 ⁇ ⁇ ⁇ 1.
- the flag is changed to the background seed point, if the energy is greater than the other given
- the threshold ⁇ is marked as a candidate foreground seed point, otherwise the flag is unchanged; the new flag can be summarized as follows:
- Figure 2(a) shows a normal retinal image
- Figure 2(b) shows the results of threshold segmentation
- Figure 2(c) shows the centerline of the blood vessel
- Figure 2(d) shows the blood vessel extracted using the present invention.
- Tables 1 and 2 respectively show quantitative comparisons between the retinal blood vessel extraction technique based on the iterative graph cut proposed by the present invention and the prior methods.
- the evaluation method consists of three indicators: sensitivity, specificity and accuracy.
- Sensitivity refers to the ratio between the number of pixels in which the algorithm extracts blood vessels (expert B manually divided) and the number of pixels in which expert A manually divides the blood vessels in the retinal image field of view; specificity refers to the retinal image viewport Algorithm extraction (expert B manually splits) the ratio of the number of pixels in the background to the number of pixels manually separated by expert A;
- the precision refers to the algorithmic extraction in the retinal image viewport (expert B manually splits) the number of pixels in the blood vessel and background And the ratio of the number of pixels in the viewport. It can be seen from Table 1 and Table 2 that the retinal blood vessel extraction technique based on the iterative graph cut proposed by the present invention has improved sensitivity and precision compared with the previous method.
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Abstract
A method for retinal vessel extraction, comprises steps: performing multi-scale filtration on a retinal image; acquiring a centerline of the retinal vessels, and initializing vessel cut by marks; constructing a graph according to the filtration image and the initially cut image, and performing calculation on the graph to acquire the vessels in the retinal image. The method in this invention effectively overcomes the influence of image noise and low contrast of vessels, and accurately extracts the retinal vessels, thereby assisting doctors to diagnose ocular diseases, diabetes, hypertension etc., and being of important application value in the field of vessel cut in cerebrovascular and cardiovascular images.
Description
视网膜血管提取方法 Retinal blood vessel extraction method
技术领域 Technical field
本发明涉及图像处理技术, 特别涉及一种视网膜血管提取方法。 背景技术 The invention relates to image processing technology, in particular to a method for extracting retinal blood vessels. Background technique
视网膜血管提取 (分割) 就是从视网膜 (眼底) 图像中准确地提取 血管。它是图像处理中的重要研究内容之一,也是图像处理系统在临床上得 到应用的典型研究领域。 视网膜血管的提取结果可用于配准图像, 也可用 于诊断眼科疾病和其它疾病(如糖尿病、 高血压等), 因此, 视网膜血管提 取吸引了很多国内外研究人员为之付出巨大的努力。 Retinal blood vessel extraction (segmentation) is the accurate extraction of blood vessels from the retina (the fundus) image. It is one of the important research contents in image processing, and it is also a typical research field in which image processing systems are applied clinically. Retinal blood vessel extraction results can be used to register images, and can also be used to diagnose ophthalmic diseases and other diseases (such as diabetes, high blood pressure, etc.). Therefore, retinal blood vessel extraction has attracted a lot of efforts from domestic and foreign researchers.
在 1989年, Chaudhuri等人 (S. Chaudhuri, S. Chatterjee, N. Katz, M. Nelson, and M. Goldbaum, "Detection of blood vessels in retinal images using two-dimensional matched filters," IEEE Transactions on Medical Imaging, vol. 8, no. 3, pp. 263-269, 1989)提出一种基于匹配滤波器的视网膜血管检测方 法。 该方法构造了 12个二维的离散匹配滤波器核, 检测血管可能的方向, 以达到增强血管与分割的目的。 Staal 等人 (J. Staal, M. Abr^amoff, M. Niemeijer, M. Viergever, and B. van Ginneken, " Ridge-based vessel segmentation in color images of the retina," IEEE Transactions on Medical Imaging, vol. 23, no. 4, pp. 501-509, 2004)提出一种基于脊的全自动视网膜 血管提取方法。 该方法首先假设血管的脊和中心线一致, 并构造线元把图 像分为若干个片元。 然后, 基于这些线元和片元的性质对每个像素构造特 征向量。最后,利用 kNN方法实现全自动的血管提取。 Scares等人 (J. Soares, J. Leandro, R. Cesar, H. Jelinek, and M. Cree, "Retinal vessel segmentation using the 2-D Gabor wavelet and supervised classification," IEEE Transactions
on Medical Imaging, vol. 25, no. 9, pp. 1214-1222, 2006) 利用多尺度 Gabor 滤波方法对视网膜图像进行滤波, 得到多尺度的响应并构造一个高位特征 向量, 最后利用高斯混合模型分类器完成血管的提取。 Mendot^a等人(A. Mendon^a and A. Campilho, "Segmentation of retinal blood vessels by combining the detection of centerlines and morphological reconstruction," IEEE Transactions on Medical Imaging, vol. 25, no. 9, pp. 1200-1213, 2006) 首先线性检测滤波器增强细血管和低对比度的血管, 然后利用梯度信息检 测血管的中心线, 使用形态学方法和区域增长方法得到血管。 Ricci 等人 (E. Ricci and R. Perfetti, "Retinal blood vessel segmentation using line operators and support vector classification," IEEE Transactions on Medical Imaging, vol. 26, no. 10, pp. 1357-1365, 2007) 利用具有方向性的线性检测 子, 然后利用两个相互垂直的线性检测子构造特征向量, 最后使用支持向 量机方法完成血管的监督分类。 Wang 等人 (L.Wang, A. Bhalerao and R. Wilson, Analysis of retinal vasculature using a multiresolution hermite model, IEEE Transactions on Medical Imaging, vol. 26, no. 2, pp. 137-152, 2007)使用多分辨率 Hermite模型来建模和标记血管。 Chen等人(J. Chen, J. Tian, Z. Tang, J. Xue, Y. Dai, and J. Zheng, "Retinal vessel enhancement and extraction based on directional field," Journal of XRay Science and Technology, vol. 16, no. 3, pp. 189-201, 2008 ) 首先使用方向场和 Gabor滤 波方法来增强视网膜图像, 最后使用形态学方法重建出血管结构。 Lam等 人 ( B. Lam and H. Yan, "A novel vessel segmentation algorithm for pathological retina images based on the divergence of vector fields," IEEE Transactions on Medical Imaging, vol. 27, no. 2, pp. 237—246, 2008)利用梯度 向量场检测出血管结构并提取中心线, 使用中心线修剪技术进一步排除噪 声得到分割结果。 在 2010年, Lam等人 (B. Lam, Y. Gao, and A. Liew,
"General Retinal Vessel Segmentation Using Regularization-Based Multiconcavity Modeling," IEEE Transactions on Medical Imaging, vol. 29, no. 7, pp. 1369-1381, 2010) 再次提出一种基于多凹度建模的视网膜血管提取 方法。 该方法利用了线形凹度和局部归一化凹度方法滤除视网膜中的噪 声, 并根据统计分布来提取血管。 In 1989, Chaudhuri et al. (S. Chaudhuri, S. Chatterjee, N. Katz, M. Nelson, and M. Goldbaum, "Detection of blood vessels in retinal images using two-dimensional matched filters," IEEE Transactions on Medical Imaging , vol. 8, no. 3, pp. 263-269, 1989) proposed a method for detecting retinal blood vessels based on matched filters. The method constructs 12 two-dimensional discrete matched filter kernels to detect possible directions of blood vessels to enhance blood vessel and segmentation. Staal et al. (J. Staal, M. Abr^amoff, M. Niemeijer, M. Viergever, and B. van Ginneken, "Rail-based vessel segmentation in color images of the retina," IEEE Transactions on Medical Imaging, vol. 23, no. 4, pp. 501-509, 2004) A ridge-based automatic retinal blood vessel extraction method is proposed. The method first assumes that the ridges of the blood vessels are consistent with the centerline, and constructs the line element to divide the image into several segments. Then, a feature vector is constructed for each pixel based on the properties of these line elements and slices. Finally, the fully automated blood vessel extraction is achieved using the kNN method. Scares et al. (J. Soares, J. Leandro, R. Cesar, H. Jelinek, and M. Cree, "Retinal vessel segmentation using the 2-D Gabor wavelet and supervised classification," IEEE Transactions On Medical Imaging, vol. 25, no. 9, pp. 1214-1222, 2006) Multi-scale Gabor filtering is used to filter the retinal image to obtain multi-scale response and construct a high-level eigenvector. Finally, the Gaussian mixture model is used to classify The device completes the extraction of blood vessels. Mendot^a et al. (A. Mendon^a and A. Campilho, "Segmentation of retinal blood vessels by bringing the detection of centerlines and morphological reconstruction," IEEE Transactions on Medical Imaging, vol. 25, no. 9, pp. 1200 -1213, 2006) The linear detection filter first enhances the blood vessels of small blood vessels and low contrast, and then uses the gradient information to detect the center line of the blood vessels, and uses morphological methods and regional growth methods to obtain blood vessels. Ricci et al. (E. Ricci and R. Perfetti, "Retinal blood vessel segmentation using line operators and support vector classification," IEEE Transactions on Medical Imaging, vol. 26, no. 10, pp. 1357-1365, 2007) A directional linear detector is then constructed using two mutually perpendicular linear detectors, and finally the supervised classification of blood vessels is performed using the support vector machine method. Wang et al. (L. Wang, A. Bhalerao and R. Wilson, Analysis of retinal vasculature using a multiresolution hermite model, IEEE Transactions on Medical Imaging, vol. 26, no. 2, pp. 137-152, 2007) Resolution Hermite model to model and label blood vessels. Chen et al. (J. Chen, J. Tian, Z. Tang, J. Xue, Y. Dai, and J. Zheng, "Retinal vessel enhancement and extraction based on directional field," Journal of XRay Science and Technology, vol. 16, no. 3, pp. 189-201, 2008 ) First, the directional field and Gabor filtering methods are used to enhance the retinal image, and finally the vascular structure is reconstructed using morphological methods. Lam et al. (B. Lam and H. Yan, "A novel vessel segmentation algorithm for pathological retina images based on the divergence of vector fields," IEEE Transactions on Medical Imaging, vol. 27, no. 2, pp. 237-246 , 2008) Using the gradient vector field to detect the vascular structure and extract the centerline, using the centerline pruning technique to further eliminate the noise to obtain the segmentation result. In 2010, Lam et al. (B. Lam, Y. Gao, and A. Liew, "General Retinal Vessel Segmentation Using Regularization-Based Multiconcavity Modeling," IEEE Transactions on Medical Imaging, vol. 29, no. 7, pp. 1369-1381, 2010) again proposes a retinal vessel extraction method based on multi-concavity modeling . The method utilizes linear concavity and local normalized concavity methods to filter out noise in the retina and extract blood vessels based on statistical distribution.
基于图论的图像分割方法主要思想是将图像映射为赋权有向图 ( graph),图像中像素对应图的节点,像素之间的相邻关系对应图的边,像素 特征之间的差异或相似性对应边上的权重,然后在所建立的图上利用各种 分割准则来对图中的节点进行划分,进而达到对图像分割的目的。基于图论 的图像分割结合了图论易于处理数据局部特征和目标函数易于处理全局 信息的优点, 同时考虑了局部特征和全局特征达到最优的效果, 其意义在 于将图论网络与目标函数功能的相互作用联系在一起。可以兼顾到图像局 部处理和图像整体处理, 具有其他方法所没有的优点。 Boykov 等人 (Y. Boykov and V. Kolmogorov, "An experimental comparison of min-cut/max-flow algorithms for energy minimization in vision," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 26, no. 9, pp. 1124-1137, 2004) 在 2004年提出了基于图割的交互式图像分割方法, 该 方法一方面考虑了用户的交互, 让用户为待分割的目标物体及其背景分别 做不同标记点, 以用户输入作为约束条件; 另一方面考虑图像内部的边缘 信息和区域信息。图割算法使用最大流 /最小割算法寻找到相应的最优分割 效果。 由于视网膜图像中血管结构的特殊性和复杂性, 限制了这种方法在 视网膜血管中的应用。 The main idea of the image segmentation method based on graph theory is to map the image to the weighted directed graph (graph), the node of the pixel corresponding map in the image, the adjacent relationship between the pixels corresponds to the edge of the graph, the difference between the pixel features or The similarity corresponds to the weight on the edge, and then the various nodes are used to divide the nodes in the graph on the established graph to achieve the purpose of image segmentation. Image segmentation based on graph theory combines graph theory to easily deal with the advantages of local features and objective functions to easily process global information. At the same time, local features and global features are considered to achieve optimal results. The significance of graph theory network and objective function is The interactions are linked together. Both image local processing and image overall processing can be taken into consideration, and there are advantages not found in other methods. Boyov and V. Kolmogorov, "An experimental comparison of min-cut/max-flow algorithms for energy minimization in vision," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 26, no. 9, pp 1124-1137, 2004) In 2004, an interactive image segmentation method based on graph cut was proposed. This method considers the user's interaction on the one hand, allowing the user to make different points for the target object to be segmented and its background. The user input is used as a constraint; on the other hand, the edge information and the area information inside the image are considered. The graph cut algorithm uses the maximum stream/minimum cut algorithm to find the corresponding optimal segmentation effect. Due to the particularity and complexity of the vascular structure in the retinal image, this method is limited in the application of retinal blood vessels.
现有技术难以准确地提取出视网膜血管网络, 其原因在于视网膜图像 中存在各种噪声、 部分血管的对比度低等问题, 导致血管提取算法在这些 区域失效。
发明内容 It is difficult to accurately extract the retinal vascular network in the prior art because of various noises in the retinal image and low contrast of some blood vessels, which causes the blood vessel extraction algorithm to fail in these regions. Summary of the invention
本发明的目的在于提供一种视网膜血管提取方法, 使得可以准确地提 取出视网膜图像中的血管。 It is an object of the present invention to provide a retinal blood vessel extraction method which makes it possible to accurately extract blood vessels in a retinal image.
为达到上述目的, 一种视网膜血管提取方法, 包括步骤: In order to achieve the above object, a retinal blood vessel extraction method comprises the steps of:
对视网膜图像使用多尺度方法滤波; Multi-scale filtering of retinal images;
得到视网膜血管的中心线, 使用标记来初始化血管的分割; 根据滤波的图像和初始分割的图像建立图, 计算所述图得到视网膜图 像中的血管。 A centerline of the retinal blood vessel is obtained, and a segmentation of the blood vessel is initialized using a marker; a map is created based on the filtered image and the initially segmented image, and the map is calculated to obtain a blood vessel in the retinal image.
本发明有效地克服了图像噪声和血管低对比度的影响, 准确地提取出 视网膜血管, 可以辅助医生诊断眼科疾病和糖尿病、 高血压等。 在脑血管 图像和心血管图像的血管分割等领域有着重要的应用价值。 附图说明 The invention effectively overcomes the influence of image noise and low contrast of blood vessels, accurately extracts retinal blood vessels, and can assist doctors in diagnosing ophthalmic diseases and diabetes, hypertension and the like. It has important application value in the fields of cerebrovascular images and blood vessel segmentation of cardiovascular images. DRAWINGS
图 1为本发明的视网膜血管提取方法流程图; 1 is a flow chart of a method for extracting a retinal blood vessel of the present invention;
图 2 为本发明对正常视网膜图像中血管提取的实例, 图 2(a) 为视网 膜图像, 图 2(b) 为使用阈值方法得到的分割结果, 图 2(c) 为血管的中心 线, 图 2(d) 为使用本发明得到的分割结果, 图 2(e) 为专家 A手动分割结 果, 图 2(f) 为专家 B手动分割结果; 2 is an example of blood vessel extraction in a normal retinal image according to the present invention, FIG. 2(a) is a retinal image, FIG. 2(b) is a segmentation result obtained by using a threshold method, and FIG. 2(c) is a center line of a blood vessel, FIG. 2(d) is the segmentation result obtained by using the present invention, FIG. 2(e) is the result of manual segmentation by expert A, and FIG. 2(f) is the result of manual segmentation by expert B;
图 3为本发明对带有病理改变的视网膜图像进行血管提取的实例, 图 3 is an example of blood vessel extraction of a retinal image with pathological changes according to the present invention.
3(a) 为视网膜图像, 图 3(b) 为使用阈值方法得到的分割结果, 图 3(c) 为 血管的中心线; 图 3(d) 为使用本发明得到的分割结果; 图 3(e) 为专家 A 手动分割结果, 图 3(f) 为专家 B手动分割结果。
具体实施方式 3(a) is the retinal image, Fig. 3(b) is the segmentation result obtained using the threshold method, Fig. 3(c) is the center line of the blood vessel; Fig. 3(d) is the segmentation result obtained by using the present invention; e) Manually segment the results for Expert A, Figure 3(f) for Expert B manually segmentation results. detailed description
为使本发明的目的、 技术方案和优点更加清楚明白, 以下结合具体实 施例, 并参照附图, 对本发明进一步详细说明。 In order to make the objects, the technical solutions and the advantages of the present invention more comprehensible, the present invention will be further described in detail below with reference to the accompanying drawings.
本发明的核心思想是提出一种基于迭代图割的视网膜血管提取方法, 首先使用多尺度方法对视网膜图像进行滤波, 并使用阈值方法和细化方法 提取血管的中心线, 在中心线的引导下迭代地使用图切算法标记图像, 以 便得到血管的提取结果。 The core idea of the present invention is to propose a retinal blood vessel extraction method based on iterative graph cutting. Firstly, the retinal image is filtered by using a multi-scale method, and the center line of the blood vessel is extracted by using a threshold method and a refinement method, under the guidance of the center line. The image is iteratively labeled using a graph cut algorithm to obtain the blood vessel extraction results.
图 1为本发明提供的基于迭代图割的视网膜血管提取技术的流程图。 以下结合具体的实施例对根据本发明提供的这种基于迭代图割的视网膜 血管提取技术进行详细描述。 1 is a flow chart of an iterative map-based retinal blood vessel extraction technique provided by the present invention. Such an iterative map-based retinal vessel extraction technique provided in accordance with the present invention is described in detail below in conjunction with specific embodiments.
步骤 1 : 对视网膜图像使用多尺度方法滤波; Step 1: Filter the retinal image using a multi-scale method;
一幅视网膜灰度图像 标), 其多尺度表示为: A retinal grayscale image), its multi-scale representation is:
其中, ; s表示方差(尺度); *表示卷积。 可得到图像 中每个像素的 Hessian矩阵:
并求该矩阵的特征值 ^^A ^, 。 利用特征值即可构建多尺度滤波 的响应: Wherein,; s denotes variance (scale); * represents the convolution. A Hessian matrix for each pixel in the image is available: And find the eigenvalue of the matrix ^^A ^, . The eigenvalues can be used to construct a multi-scale filtered response:
V{x, y) max v (x, y, s) 其中, in^max分别表示尺度空间的最大和最小尺度, 上式具有尺度选择特
性: 当血管的半径与尺度 S匹配时, 滤波数值最大; V{x, y) max v (x, y, s) where in ^ max represent the maximum and minimum scales of the scale space, respectively. Sex: When the radius of the blood vessel matches the scale S, the filtered value is the largest;
c(Ll ( 5^5^) ( ,^,Λ1) ), λ (x,y,s)≤ A, (x.y.s) < 0; c(Ll ( 5 ^ 5 ^) ( ,^,Λ 1 ) ), λ (x,y,s)≤ A, (xys) <0;
1 ο, 其它. 1 ο, other.
其中, c为一常数。 步骤 2: 首先, 得到血管的中心线, 可以使用阈值方法和细化方法得 到血管的中心线; 然后, 使用多种标记来初始化血管的分割, 本发明中使 用四种标记来初始化血管的分割。 Where c is a constant. Step 2: First, the center line of the blood vessel is obtained, and the center line of the blood vessel can be obtained using the threshold method and the refinement method; then, a plurality of markers are used to initialize the segmentation of the blood vessel, and in the present invention, four markers are used to initialize the segmentation of the blood vessel.
对滤波图像 使用阈值方法 (χ, ≥tA,再使用细化算法得到血管 的中心线。 对于像素数少于 ^自. te的中心线, 则丢弃该中心线, 目的是排 除数值大的噪点。 再使用阈值方法四种类型来标记图像 对应的像 素, 这四种类型的标记^为: 前景种子 、 候选前景种子 .Λ、 候选背景种 子 ^和背景种子 。 1) 中心线上的像素标记为 Λ; 2) 除被标记为前景的 像素外, (x,y)≥tw的像素被标记为 ; 3) tw > (x,_y)≥t,的像素被标记为 Use the threshold method for the filtered image (χ, ≥t A , and then use the refinement algorithm to get the center line of the blood vessel. For the center line with the number of pixels less than ^ from . te , discard the center line, in order to eliminate the noise with large values. Then use the threshold method four types to mark the pixels corresponding to the image. The four types of markers ^ are: foreground seed, candidate foreground seed. Λ, candidate background seed ^ and background seed. 1) The pixel on the center line is marked as Λ; 2) In addition to the pixels marked as foreground, pixels with (x, y) ≥ t w are marked as; 3 ) pixels with t w > (x, _y) ≥ t are marked as
4) (^, <^的像素被标记为 。 4) (^, <^ pixels are marked as .
步骤 3: 建立图并计算所述图得到视网膜图像中的血管。 Step 3: Create a map and calculate the map to obtain blood vessels in the retinal image.
根据上述步骤 1得到的滤波结果 (x, 和上述步骤 2的初始分割, 建 图 G =〈i,f〉。 以像素作为图的节点 V, 像素间的相邻关系作为图的边£。 使 用 K均值聚类算法分别对 ^χ, 被标记为侯选前景种子和候选背景种子聚 类, 并分别计算侯选前景种子和侯选背景种子到前景种子的最短距离 c, )和背景种子的最短距离 ^, 。 连接图的结点 ;^1 和两个虚拟节
点 S,T的边被定义为 Z -// € £。 t— Unk计算公式为 According to the filtering result obtained in the above step 1 (x, and the initial division of the above step 2, the mapping G = <i, f>. With the pixel as the node V of the graph, the adjacent relationship between the pixels is used as the edge of the graph. The K-means clustering algorithm is respectively labeled as candidate foreground seeds and candidate background seed clusters, and calculates the shortest distance c of the candidate foreground seeds and candidate background seeds to the foreground seeds, respectively, and the shortest background seeds. Distance ^, . The junction of the connection graph; ^1 and two virtual sections Point S, the edge of T is defined as Z - / / € £. t—Unk is calculated as
Us(p) =∞, UT{P) = O, U s (p) =∞, U T {P) = O,
= c = c
且满足 0≤ ί¾≤1≤ ι。连接图像中相邻两像素对应的节点 的边定义为 n - link e E o w- //"A:计算公式为: And satisfy 0 ≤ ί3⁄4 ≤1≤ ι . The edge of the node corresponding to two adjacent pixels in the connected image is defined as n - link e E o w- //"A: The calculation formula is:
1 其中, 分别表示节点 和 g对应像素的多尺度滤波值。 对图 G使 用最大流 /最小割算法, 将结点分为两类: 源和汇。 改变上次标记, 规则 为: 若属于源类型且标记不是前景种子点, 则标记为候选前景种子点.:, 否则标记为前景种子点 Λ; 若属于汇类型且标记不是背景种子点, 则标记 为候选背景种子点 ^, 否则标记为背景种子点 。 计算局部能量: ep(lp) = Up(lp) + KeN (l P) 其中, /表示当前像素的标记;
则 up(lp) = Dh(p) 是一常数; e lpm , W是 7的邻域; 的 值如下表:
1 where, respectively, represent multi-scale filtered values of nodes and corresponding pixels of g. Use the maximum flow/minimum cut algorithm for graph G to divide the nodes into two categories: source and sink. Change the last tag, the rule is: if it belongs to the source type and the tag is not the foreground seed point, it is marked as the candidate foreground seed point.:, otherwise it is marked as the foreground seed point Λ; if it belongs to the sink type and the mark is not the background seed point, then the mark Click ^ for the candidate background seed, otherwise mark as the background seed point. Calculate the local energy: ep( l p) = U p( l p) + Ke N ( l P ) where / represents the current pixel's mark; Then u p (l p ) = D h (p) is a constant; el p m , W is a neighborhood of 7; the values are as follows:
其中, ς·是一常数, 取值为 0≤ί≤1。 根据局部能量模型, 更换标记: 前景
种子点和背景种子点不更换标记;对于候选前景种子点 /,两个能量值^ 和; 7^把像素的局部能量分为三段,若能量小于给定的阈值 Λ,2, 则标记改 为前景种子点 , 若能量大于另一个给定的阈值^ 则标记为候选背景 种子点 , 否则标记不变; 新标记可用下式归纳: f
类似地, 对于候选背景种子点 ^, 两个能量值 把像素的局部能量 分为三段, 若能量小于给定的阈值 ¾,2, 则标记改为背景种子点 , 若能 量大于另一个给定的阈值^ ,, 则标记为候选前景种子点 , 否则标记不 变; 新标记可用下式归纳: Where ς· is a constant with a value of 0 ≤ ί ≤ 1. Replace the marker according to the local energy model: foreground The seed point and the background seed point do not change the mark; for the candidate foreground seed point /, the two energy values ^ and ; 7^ divide the local energy of the pixel into three segments, and if the energy is less than a given threshold Λ , 2 , the mark is changed For the foreground seed point, if the energy is greater than another given threshold ^ then marked as a candidate background seed point, otherwise the mark is unchanged; the new mark can be summarized as follows: f Similarly, for the candidate background seed point ^, the two energy values divide the local energy of the pixel into three segments. If the energy is less than a given threshold 3⁄4, 2 , the flag is changed to the background seed point, if the energy is greater than the other given The threshold ^ , , is marked as a candidate foreground seed point, otherwise the flag is unchanged; the new flag can be summarized as follows:
%e,l ≤ ep {lp = bc)> , e P (lp = bc) < Tlbc - 判断是否到达迭代次数, 若否, 则返回; 若是, 则把候选前景种子点改为 前景种子点, 候选背景种子点改为背景种子点, 算法终止。 % e ,l ≤ e p { l p = b c)> , e P ( l p = b c) < T lb c - determine whether the number of iterations is reached, if not, return; if yes, then the candidate foreground seed point Change to foreground seed point, candidate background seed point to background seed point, algorithm terminated.
为验证本发明的有效性和实用性, 我们在两个国际公认的视网膜图像 数据库 (STARE和 DRIVE)上进行了实验。 这两个数据库都分别提供 20幅视 网膜图像用于算法测试, 两个手动分割的血管网络数据集作为参考。 图 2 和图 3给出了两个具体的例子。图 2(a) 为一幅正常的视网膜图像,图 2(b) 为 使用阈值分割的结果, 图 2(c)为血管的中心线, 图 2(d)为使用本发明提取的 血管, 图 2(e)专家 A手动分割的血管, 图 2(f)专家 B手动分割的血管; 图 3(a) 一幅病理改变的视网膜图像, 图 3(b) 为使用阈值分割的结果, 图 3(c)为血
管的中心线, 图 3(d)为使用本发明提取的血管, 图 3(e) 专家 A手动分割的 血管, 图 3(f)专家 B手动分割的血管。 从图中可以看出, 本发明提出的基于 迭代图割的视网膜血管提取技术可以有效地提取出视网膜图像中的血管。 表一和表二分别给出了使用本发明提出的基于迭代图割的视网膜血管提 取技术与以前方法定量上的对比。 评价方法由三个指标构成: 灵敏度、 特 异性和精度。 灵敏度是指在视网膜图像视区 (field of view)中算法提取 血管 (专家 B手动分割) 的像素数目与专家 A手动分割血管的像素数目之 间的比率; 特异性是指在视网膜图像视区中算法提取 (专家 B手动分割) 背景的像素数目与专家 A手动分割背景的像素数目之间的比率; 精度是指 在视网膜图像视区中算法提取 (专家 B手动分割) 血管和背景的像素数目 之和与视区中的像素数目的比率。 从表一和表二可以看出, 本发明提出的 基于迭代图割的视网膜血管提取技术较以前的方法灵敏度和精度有所提 高。 To verify the validity and utility of the present invention, we conducted experiments on two internationally recognized retinal image databases (STARE and DRIVE). Both databases provide 20 retinal images for algorithm testing and two manually segmented vascular network data sets for reference. Figures 2 and 3 show two specific examples. Figure 2(a) shows a normal retinal image, Figure 2(b) shows the results of threshold segmentation, Figure 2(c) shows the centerline of the blood vessel, and Figure 2(d) shows the blood vessel extracted using the present invention. 2 (e) Expert A manually segmented blood vessels, Figure 2 (f) Expert B manually segmented blood vessels; Figure 3 (a) a pathologically altered retinal image, Figure 3 (b) is the result of using threshold segmentation, Figure 3 (c) for blood The center line of the tube, Fig. 3(d) is the blood vessel extracted using the present invention, Fig. 3(e) the blood vessel manually divided by the expert A, and Fig. 3(f) the blood vessel manually divided by the expert B. As can be seen from the figure, the retinal blood vessel extraction technique based on the iterative graph cut proposed by the present invention can effectively extract blood vessels in the retinal image. Tables 1 and 2 respectively show quantitative comparisons between the retinal blood vessel extraction technique based on the iterative graph cut proposed by the present invention and the prior methods. The evaluation method consists of three indicators: sensitivity, specificity and accuracy. Sensitivity refers to the ratio between the number of pixels in which the algorithm extracts blood vessels (expert B manually divided) and the number of pixels in which expert A manually divides the blood vessels in the retinal image field of view; specificity refers to the retinal image viewport Algorithm extraction (expert B manually splits) the ratio of the number of pixels in the background to the number of pixels manually separated by expert A; the precision refers to the algorithmic extraction in the retinal image viewport (expert B manually splits) the number of pixels in the blood vessel and background And the ratio of the number of pixels in the viewport. It can be seen from Table 1 and Table 2 that the retinal blood vessel extraction technique based on the iterative graph cut proposed by the present invention has improved sensitivity and precision compared with the previous method.
表一分割算法的精度对比 Accuracy comparison of Table 1 segmentation algorithm
STARE 灵敏度 特异性 精度 STARE sensitivity specific accuracy
Staal等人 0.6898±0.1558 0.9793 ±0.0133 0.9516 Staal et al. 0.6898±0.1558 0.9793 ±0.0133 0.9516
Mendon9a等人 0.7123 0.9758 0.9479±0.0123Mendon9a et al. 0.7123 0.9758 0.9479±0.0123
Wang等人 0.7543 ±0.0596 0.9785±0.0106 ― Wang et al. 0.7543 ±0.0596 0.9785±0.0106 ―
Chen等人 0.7737 ±0.0735 0.9738 ±0.0169 0.9490±0.0109 手动分割 B 0.8951±0.1085 0.9385 ±0.0260 0.9503 ±0.0089 本发明 0.7208 ±0.0695 0.9759 ±0.0076 0.6898 ±0.1558 表二分割算法的精度对比 Chen et al 0.7737 ±0.0735 0.9738 ±0.0169 0.9490±0.0109 manual division B 0.8951±0.1085 0.9385 ±0.0260 0.9503 ±0.0089 The present invention 0.7208 ±0.0695 0.9759 ±0.0076 0.6898 ±0.1558 Accuracy comparison of the table two segmentation algorithm
DRIVE 灵敏度 特异性 精度 DRIVE sensitivity specific accuracy
Staal等人 0.7194± 0.0694 0.9773 ±0.0087 0.9441 ±0.0065
Mendonpa等人 0.7315 0.9781 0.9463 ±0.0065Staal et al. 0.7194± 0.0694 0.9773 ±0.0087 0.9441 ±0.0065 Mendonpa et al 0.7315 0.9781 0.9463 ±0.0065
Wang等人 0.7810±0.0340 0.9770 ±0.0071 ― Wang et al 0.7810±0.0340 0.9770 ±0.0071 ―
Chen等人 0.7589 ±0.0449 0.9778 ±0.0064 0.9462 ±0.0057 手动分割 B 0.7760 ±0.0594 0.9725 ±0.0083 0.9473 ±0.0048 本发明 0.7732 ±0.0345 0.9685 ±0.0064 0.9445 ±0.0049 实验表明, 本发明方法一基于迭代图割的视网膜血管提取技术一准确 地提取出视网膜图像中的血管。 Chen et al 0.7589 ±0.0449 0.9778 ±0.0064 0.9462 ±0.0057 manual split B 0.7760 ±0.0594 0.9725 ±0.0083 0.9473 ±0.0048 0.7732 ±0.0345 0.9685 ±0.0064 0.9445 ±0.0049 of the present invention The experiment shows that the method of the present invention is based on iterative map-cut retinal blood vessel extraction Technique 1 accurately extracts blood vessels from the retinal image.
以上所述, 仅为本发明中的具体实施方式。 本发明的保护范围并不局 限于此, 任何熟悉该技术的本领域技术人员在本发明所揭露的技术范围 内, 可以进行变换或替换。 但这些变换和替换都应涵盖在本发明的保护范 围之内。 因此, 本发明的保护范围应该以权利要求书的保护范围为准。
The above is only a specific embodiment of the present invention. The scope of the present invention is not limited thereto, and any person skilled in the art who is familiar with the technology may make changes or substitutions within the technical scope of the present invention. However, such changes and substitutions are intended to be encompassed within the scope of the invention. Therefore, the scope of the invention should be determined by the scope of the claims.
Claims
1. 一种视网膜血管提取方法, 包括步骤: A method for extracting retinal blood vessels, comprising the steps of:
对视网膜图像使用多尺度方法滤波; Multi-scale filtering of retinal images;
得到视网膜血管的中心线, 使用标记来初始化血管的分割; Obtaining the centerline of the retinal blood vessels, using markers to initiate segmentation of the blood vessels;
根据滤波的图像和初始分割的图像建立图, 计算所述图得到视网膜图 像中的血管。 A map is created based on the filtered image and the initially segmented image, and the map is calculated to obtain blood vessels in the retinal image.
2. 根据权利要求 1 所述的方法, 其特征在于按下式计算视网膜灰度 图像 /(x,y)的滤波图像: V x, y) = max v (x, y, s) 其中, s表示尺度; ^in^max分别表示尺度空间的最大和最小尺度, 上式具 有尺度选择特性: 当血管的半径与尺度 s匹配时, 滤波数值最大; 2. Method according to claim 1, characterized in that the filtered image of the retinal grayscale image / (x, y) is calculated as follows: V x, y) = max v (x, y, s) where s The scale is represented; ^ in ^ max represents the maximum and minimum scales of the scale space, respectively, and the above formula has the scale selection characteristic: when the radius of the blood vessel matches the scale s, the filtered value is the largest;
( 、 c (x, JK, + ( , y, s)^ , ( , y, s)≤ λ2 ( , y, s) < 0; ( , c (x, JK, + ( , y, s)^ , ( , y, s) ≤ λ 2 ( , y, s) <0;
, † 0, 其它. , , † 0, other. ,
, , (χ, , 为图像的多尺度 Hessian矩阵两个特征值; c为一常数。 , , (χ, , are two eigenvalues of the multiscale Hessian matrix of the image; c is a constant.
3.根据权利要求 1所述的方法, 其特征在于所述标记为四个。 3. Method according to claim 1, characterized in that said markers are four.
4.根据权利要求 1所述的方法, 其特征在于使用阈值方法和细化方法 得到视网膜血管的中心线。 4. Method according to claim 1, characterized in that the center line of the retinal blood vessels is obtained using a threshold method and a refinement method.
5.根据权利要求 3所述的方法,其特征在于所述四种类型的标记 /p为: 前景种子 Λ、 候选前景种子 ;、 候选背景种子 ^和背景种子 。 The method according to claim 3, characterized in that the four types of markers / p are: foreground seed Λ, candidate foreground seed; candidate background seed ^ and background seed.
6. 根据权利要求 5所述的方法, 其特征在于包括: 6. The method of claim 5, comprising:
中心线上的像素标记为 . ; 除被标记为前景的像素外, V{x, y) > thl的像素被标记为 ; thl >V(x,y)≥ t,的像素被标记为 bc; V x,y)<t,的像素被标记为 。 The pixels on the center line are marked as . In addition to the pixel is marked as foreground, V {x, y)> t pixels hl is labeled; t hl> V (x, y) ≥ t, the pixel is marked as b c; V x, y) < The pixels of t, are marked as .
7.根据权利要求 1所述的方法, 其特征在于所述图包括- 以像素作为图的节点 V, 像素间的相邻关系作为图的边£。 The method according to claim 1, characterized in that said map comprises - a node V with a pixel as a graph, and an adjacent relationship between pixels as an edge of the graph.
8. 根据权利要求 7所述的方法, 其特征在于使用 K均值聚类算法分 别对滤波结果 ( 被标记为侯选前景种子和候选背景种子聚类, 并分别 计算侯选前景种子和侯选背景种子到前景种子的最短距离 ^(x^)和背景 种子的最短距离 (X, 。 8. The method according to claim 7, characterized in that the K-means clustering algorithm is used to separately filter the filtering results (labeled as candidate foreground seeds and candidate background seeds, and separately calculate candidate foreground seeds and candidate backgrounds). The shortest distance from the seed to the foreground seed ^(x^) and the shortest distance of the background seed (X, .
9. 根据权利要求 8所述的方法, 其特征在于还包括: 9. The method of claim 8 further comprising:
连接图的结点 pel 和两个虚拟节点 的边被定义为 t- //^ef ; 连接图像中相邻两像素对应的节点 的边定义为 。 The node pel of the connection graph and the edges of the two virtual nodes are defined as t- //^ e f ; the edge of the node corresponding to two adjacent pixels in the connected image is defined as .
10. 根据权利要求 9所述的方法,其特征在于按下述规则计算所述图: 若属于源类型且标记不是前景种子点, 则标记为候选前景种子点 Λ, 否则标记为前景种子点 若属于汇类型且标记不是背景种子点, 则标记为候选背景种子点 ^, 否则标记为背景种子点 。 10. The method according to claim 9, wherein the graph is calculated according to the following rules: if it belongs to a source type and the marker is not a foreground seed point, it is marked as a candidate foreground seed point, otherwise it is marked as a foreground seed point. If it belongs to the sink type and the marker is not a background seed point, it is marked as a candidate background seed point ^, otherwise it is marked as a background seed point.
11. 根据权利要求 10所述的方法, 其特征在于还包括: 11. The method of claim 10, further comprising:
计算局部能量 , 并根据局部能量模型更换标记; Calculate the local energy and replace the mark according to the local energy model;
判断是否到达迭代次数, 若否, 则返回; 若是, 则把候选前景种子点改为前景种子点, 候选背景种子点改为背 景种子点。 Determine whether the number of iterations is reached, and if not, return; If so, the candidate foreground seed point is changed to the foreground seed point, and the candidate background seed point is changed to the background seed point.
12.根据权利要求 10所述的方法,其特征在于所述计算方法是最大流、 最小割算法。 12. Method according to claim 10, characterized in that said calculation method is a maximum flow, minimum cut algorithm.
13. 根据权利要求 9所述的方法, 其特征在于按下式计算 t- /^: 13. The method according to claim 9, wherein t- /^ is calculated as follows :
us {P) =∞' UT(p) = 0, Ρ≡ f ' Us {P) =∞' U T (p) = 0, Ρ≡ f '
UT(p) =∞, U T (p) = ∞,
US{P)- p bc;U S {P)- pb c ;
14. 根据权利要求 9所述的方法, 其特征在于按下式计算 14. The method of claim 9 characterized by a following formula
其中, ?)分别表示节点 和 ^对应像素的多尺度滤波值。 among them, ? ) represent multi-scale filtered values for nodes and ^ corresponding pixels, respectively.
15. 根据权利要求 11 所述的方法, 其特征在于所述局部能量由下式 表达: 其中, /表示当前像素的标记; 若 /Ρ=.Λ, 则" ρ(/ρ) = Α( ; 若 lp=bc, 则 15. The method of claim 11 wherein said local energy is expressed by: Where / represents the mark of the current pixel; if / Ρ =.Λ, then " ρ (/ ρ ) = Α ( ; if l p = b c , then
16. 根据权利要求 1, 5所述的方法, 其特征在于根据局部能量模型更 换标记方法为: 16. The method of claim 1, wherein the method of replacing the marking according to the local energy model is:
前景种子点和背景种子点不更换标记; The foreground seed point and the background seed point are not replaced with the mark;
对于候选前景种子点 fc, 两个能量值 和 把像素的局部能量分为三 段, 若能量小于给定的阈值;^ 2, 则标记改为前景种子点 Λ , 若能量大于 另一个给定的阈值; 7^, 则标记为候选背景种子点 δ£, 否则标记 不变。 For the candidate foreground seed point f c , the two energy values and the local energy of the pixel are divided into three segments. If the energy is less than a given threshold; ^ 2 , the flag is changed to the foreground seed point Λ if the energy is greater than the other given The threshold; 7^, is marked as the candidate background seed point δ £ , otherwise the flag is unchanged.
17. 根据权利要求 15所述的方法,其特征在于根据局部能量模型 更换标记方法为: 17. The method of claim 15 wherein the method of replacing the marking according to the local energy model is:
对于候选背景种子点 bc, 两个能量值 和 ,2把像素的局部能量分为 三段, 若能量小于给定的阈值 ¾,2, 则标记改为背景种子点 , 若能量大 于另一个给定的阈值;^, 则标记为候选前景种子点 Λ, 否则标 记不变。 BACKGROUND candidate for the seed point b c, and two energy values, two local energy pixel is divided into three sections, if the energy is less than a given threshold value ¾ 2, the seed point is marked to the background, if the energy is larger than the other to The threshold is determined; ^, it is marked as a candidate foreground seed point, otherwise the flag is unchanged.
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