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CN106485203A - Carotid ultrasound image Internal-media thickness measuring method and system - Google Patents

Carotid ultrasound image Internal-media thickness measuring method and system Download PDF

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CN106485203A
CN106485203A CN201610831690.4A CN201610831690A CN106485203A CN 106485203 A CN106485203 A CN 106485203A CN 201610831690 A CN201610831690 A CN 201610831690A CN 106485203 A CN106485203 A CN 106485203A
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张琦珺
关欣
李锵
滕建辅
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Tianjin University
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06VIMAGE OR VIDEO RECOGNITION OR UNDERSTANDING
    • G06V40/00Recognition of biometric, human-related or animal-related patterns in image or video data
    • G06V40/10Human or animal bodies, e.g. vehicle occupants or pedestrians; Body parts, e.g. hands
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06VIMAGE OR VIDEO RECOGNITION OR UNDERSTANDING
    • G06V10/00Arrangements for image or video recognition or understanding
    • G06V10/20Image preprocessing
    • G06V10/25Determination of region of interest [ROI] or a volume of interest [VOI]
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06VIMAGE OR VIDEO RECOGNITION OR UNDERSTANDING
    • G06V10/00Arrangements for image or video recognition or understanding
    • G06V10/20Image preprocessing
    • G06V10/26Segmentation of patterns in the image field; Cutting or merging of image elements to establish the pattern region, e.g. clustering-based techniques; Detection of occlusion
    • G06V10/267Segmentation of patterns in the image field; Cutting or merging of image elements to establish the pattern region, e.g. clustering-based techniques; Detection of occlusion by performing operations on regions, e.g. growing, shrinking or watersheds
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06VIMAGE OR VIDEO RECOGNITION OR UNDERSTANDING
    • G06V40/00Recognition of biometric, human-related or animal-related patterns in image or video data
    • G06V40/10Human or animal bodies, e.g. vehicle occupants or pedestrians; Body parts, e.g. hands
    • G06V40/14Vascular patterns

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Abstract

本发明涉及颈动脉超声图像处理领域,为提出一种可靠、自动颈动脉超声图像的测量方法,使用计算机辅助测量的方式避免手动测量方式存在的缺陷。本发明采用的技术方案是,颈动脉超声图像内中膜厚度测量方法及系统,步骤如下:1)图像裁剪,裁剪移除无关信息,只保留血管部分;2)自动提取感兴趣区域ROI(Region of Interest);3)图像滤波,滤除回波反射带来的斑块噪声;4)水平集分割;5)初始标记场;6)再分割;7)后处理,对分割图像后处理,移除错分小区域,获得最终分割图像和LII、MAI,并测量内中膜厚度。本发明主要应用于颈动脉超声图像处理。

The invention relates to the field of carotid ultrasound image processing, and aims to provide a reliable and automatic measurement method for carotid ultrasound images, using a computer-aided measurement method to avoid the defects of the manual measurement method. The technical scheme adopted in the present invention is a method and system for measuring intima-media thickness in carotid artery ultrasound images, the steps are as follows: 1) Image cropping, clipping removes irrelevant information, and only retains the blood vessel part; 2) Automatically extracts the region of interest (ROI (Region of Interest); 3) image filtering, to filter out the speckle noise caused by echo reflection; 4) level set segmentation; 5) initial marker field; 6) re-segmentation; In addition to misclassifying small areas, the final segmented image and LII and MAI were obtained, and the intima-media thickness was measured. The invention is mainly applied to carotid ultrasound image processing.

Description

颈动脉超声图像内中膜厚度测量方法及系统Carotid artery ultrasound image intima-media thickness measurement method and system

技术领域technical field

本发明涉及颈动脉超声图像处理领域,尤其是颈动脉超声图像的内中膜厚度测量算法。具体讲,涉及颈动脉超声图像内中膜厚度测量方法及系统。The invention relates to the field of carotid ultrasound image processing, in particular to an intima-media thickness measurement algorithm for carotid ultrasound images. Specifically, it relates to a method and system for measuring intima-media thickness in carotid ultrasound images.

背景技术Background technique

超声成像中颈动脉血管壁的内中膜厚度(Intima Media Thickness,IMT)可以作为评估心血管疾病的早期病变程度的重要指标,对突发心肌梗塞、中风的诊断和预防有很重要的价值。传统上,颈动脉超声图像的内中膜厚度通常由人工手动测量获得,测量者手工描绘图像中的管腔-内膜边界(Lumen-Intima Interface,LII)和中膜-外膜边界(Media-Adventitia Interface,MAI),然后通过计算得出两边界间的距离获得IMT。然而这种测量方式工作量大,非常耗时并且最终获得的结果受测试者所受训练、个人经历及其主观判断的影响。手动测量的缺陷促进了计算机辅助的IMT测量方法的发展。本发明提出了一种结合水平集分割和马尔可夫随机场(Markov Random Field,MRF)模型的颈动脉超声图像内中膜厚度测量算法。Intima Media Thickness (IMT) of the carotid artery wall in ultrasound imaging can be used as an important index to evaluate the early lesion degree of cardiovascular diseases, and it is of great value in the diagnosis and prevention of sudden myocardial infarction and stroke. Traditionally, the intima-media thickness of carotid ultrasound images is usually measured manually, and the measurer manually draws the lumen-intima interface (LII) and media-adventitia boundary (Media-adventitia) in the image. Adventitia Interface, MAI), and then obtain the IMT by calculating the distance between the two boundaries. However, this measurement method requires a lot of work, is very time-consuming, and the final result is affected by the tester's training, personal experience and subjective judgment. The shortcomings of manual measurement have promoted the development of computer-aided IMT measurement methods. The present invention proposes an algorithm for measuring intima-media thickness in carotid ultrasound images combined with level set segmentation and a Markov Random Field (MRF) model.

基于几何变形模型的水平集方法由Osher和Sethian于1982年提出。该方法是利用偏微分方程作为数值分析放过与技术手段被广泛运用于轮廓面或轮廓线的运动跟踪。该方法将低维闭合曲线演化的问题转化为高维空间中谁破解函数全面演化的隐含方式来求解,因此可以适应于拓扑结构变化的处理。水平集方法的思想中最重要的就是Hamilton-Jacobi方程,它为运动的隐式曲面进行基于时间的方程的数值求解。该方法的基本原理是,将曲线或曲面作为零水平集嵌入到高一维的水平集函数中,通过一个更高维的函数来表达低维的曲线或曲面的演化过程。零水平集被嵌入到水平集函数中,只要确定零水平集位置,就可以确定运动曲线或曲面演化的结果。下面简要分析曲线模型的演化过程。平面闭合曲线C(s,t)=(m(s,t),n(s,t)):0≤s≤1(s为弧长参数,t表示时间,m、n是平面曲线的坐标)被水平集方法隐含地表达为三维连续函数曲面φ(m,n,t):的一个具有相同函数值的等值曲线,令函数φ为符号距离函数,可将曲线C的变化归结为由于函数发生了某种相应的变化所致。因此,可将随时间变化的闭合曲线表示为水平集函数对时间的变化:The level set method based on geometric deformation model was proposed by Osher and Sethian in 1982. The method is to use partial differential equations as a numerical analysis technique and is widely used in the motion tracking of contour surfaces or contour lines. This method transforms the problem of evolution of low-dimensional closed curves into an implicit way of solving the overall evolution of functions in high-dimensional space, so it can be adapted to the processing of topology changes. Central to the idea of the level set method is the Hamilton-Jacobi equation, which performs the numerical solution of a time-based equation for an implicit surface of motion. The basic principle of this method is to embed a curve or surface as a zero level set into a higher one-dimensional level set function, and express the evolution process of a low-dimensional curve or surface through a higher-dimensional function. The zero level set is embedded in the level set function, as long as the position of the zero level set is determined, the result of the motion curve or surface evolution can be determined. The evolution process of the curve model is briefly analyzed below. Plane closed curve C(s,t)=(m(s,t),n(s,t)):0≤s≤1 (s is the arc length parameter, t represents time, m and n are the coordinates of the plane curve ) is implicitly expressed as a three-dimensional continuous function surface φ(m,n,t) by the level set method: An equivalent curve with the same function value, let the function φ be a signed distance function, and the change of the curve C can be attributed to the corresponding change of the function. Therefore, the time-varying closed curve can be expressed as the change of the level set function with time:

上式把对曲线的演化转换为对水平集函数的分析。The above formula transforms the evolution of the curve into the analysis of the level set function.

可用如下的偏微分方程来表示曲线C沿法线方向的演化过程:The evolution process of curve C along the normal direction can be represented by the following partial differential equation:

上式被称为水平集方程(Level Set Equation),函数V被称为速度函数(SpeedFunction),表示曲线上个点的演化速度,N是曲线的法线方向。对式(2)求取全微分,得:The above formula is called the level set equation (Level Set Equation), the function V is called the speed function (SpeedFunction), which represents the evolution speed of a point on the curve, and N is the normal direction of the curve. Taking the total differential of formula (2), we get:

式中是φ的梯度,与曲线的法向方向相同。假设Ω为整幅图像,水平集函数位于曲线C以内的部分为负,以外的部分为正,则水平集的内向单位法向量为In the formula is the gradient of φ, in the same direction as the normal to the curve. Assuming Ω is the whole image, the part of the level set function inside the curve C is negative, and the part outside is positive, then the inward unit normal vector of the level set is

将式(2)和式(4)代入式(3)中,整理可得Substituting formula (2) and formula (4) into formula (3), we can get

这样就用水平集方程表示了曲线演化过程,即曲线演化方程的欧氏表达,它是一种Hamilton-Jacobi类型的偏微分方程。给定几何活动轮廓模型的偏微分方程,以及初始的水平集函数φ(m,n):φ(C)=0,式(5)就可以保证水平集函数φ(m,n,t)随时间的演化满足{φ(C(s,t),t)=0}条件,即φ(m,n,t)的零水平集始终是轮廓线C(s,t)。In this way, the curve evolution process is expressed by the level set equation, that is, the Euclidean expression of the curve evolution equation, which is a partial differential equation of the Hamilton-Jacobi type. Given the partial differential equation of the geometric active contour model and the initial level set function φ(m,n):φ(C)=0, formula (5) can ensure that the level set function φ(m,n,t) follows The evolution of time satisfies the condition of {φ(C(s,t),t)=0}, that is, the zero level set of φ(m,n,t) is always the contour line C(s,t).

发明内容Contents of the invention

为克服现有技术的不足,本发明旨在提出一种可靠、自动颈动脉超声图像的测量方法,使用计算机辅助测量的方式避免手动测量方式存在的缺陷。本发明采用的技术方案是,颈动脉超声图像内中膜厚度测量方法,步骤如下:In order to overcome the deficiencies of the prior art, the present invention aims to propose a reliable and automatic carotid artery ultrasound image measurement method, which uses computer-aided measurement to avoid the defects of manual measurement. The technical scheme adopted in the present invention is a method for measuring intima-media thickness in carotid ultrasound images, the steps of which are as follows:

1)图像裁剪,裁剪移除无关信息,只保留血管部分;1) Image cropping, cropping removes irrelevant information, and only retains the blood vessel part;

2)自动提取感兴趣区域ROI(Region of Interest);2) Automatically extract ROI (Region of Interest);

3)图像滤波,滤除回波反射带来的斑块噪声;3) Image filtering to filter out the speckle noise caused by echo reflection;

4)水平集分割,采用水平集分割算法追踪血管壁的管腔-内膜边界LII(Lumen-Intima Interface,);4) Level set segmentation, using the level set segmentation algorithm to track the lumen-intima boundary LII (Lumen-Intima Interface,) of the vessel wall;

5)初始标记场,根据颈动脉血管壁各层近似平行的特性,在ROI中,将血管壁内膜边界向下平移一定像素距离,作为中膜-外膜边界中膜-外膜边界MAI(Media-AdventitiaInterface,)的初始状态,然后依据这两条边界将ROI分割为管腔、内中膜、外膜三个部分,并将获得的分割图像作为Markov模型的初始标号场;5) The initial labeling field, according to the approximately parallel characteristics of each layer of the carotid artery wall, in the ROI, the intima boundary of the vessel wall is translated downward by a certain pixel distance, which is used as the media-adventitia boundary media-adventitia boundary MAI( Media-AdventitiaInterface,), and then divide the ROI into three parts: lumen, intima-media, and adventitia according to these two boundaries, and use the obtained segmented image as the initial label field of the Markov model;

6)再分割,引入Markov模型,根据初始标号场和灰度场对图像再次分割图像;6) re-segmentation, introducing the Markov model, and re-segmenting the image according to the initial label field and the gray field;

7)后处理,对分割图像后处理,移除错分小区域,获得最终分割图像和LII、MAI,并测量内中膜厚度IMT(Intima Media Thickness)。7) Post-processing, post-processing the segmented image, removing misclassified small areas, obtaining the final segmented image and LII, MAI, and measuring the intima media thickness IMT (Intima Media Thickness).

步骤2)具体步骤是:根据超声图像灰度的统计规律,采用最大类间差法自适应获取灰度阈值,二值化超声图像;然后,对二值化超声图像形态学闭运算,再填补图像中的孔洞,利用连通域面积较大以及质心纵坐标较大的原则,选择期望的白色区域,其与黑色区域相交的上边界认为是LII的近似位置;最后以LII的近似位置为标准,向上取40、向下取20像素尺度,分别作为ROI的上、下边界,获得两个分别对应原始图像ROI。Step 2) The specific steps are: according to the statistical law of the gray scale of the ultrasonic image, adopt the maximum inter-class difference method to adaptively obtain the gray threshold value, and binarize the ultrasonic image; For the hole in the image, use the principle of larger connected domain area and larger ordinate of the centroid to select the desired white area, and the upper boundary where it intersects with the black area is considered to be the approximate position of LII; finally, the approximate position of LII is used as the standard, Take 40 pixels up and 20 pixels down, respectively, as the upper and lower boundaries of the ROI, and obtain two ROIs corresponding to the original image.

步骤3)图像滤波是基于像素间距离相似性和灰度相似性的滤波,滤波输出为Step 3) Image filtering is based on the filtering of distance similarity and gray similarity between pixels, and the filtering output is

其中g(r)是滤波后图像,是像素ξ和像素r的相似性函数,为归一化函数,σ1是定义域方差,σ2是值域方差;where g(r) is the filtered image, is the similarity function of pixel ξ and pixel r, is a normalization function, σ 1 is the domain variance, σ 2 is the range variance;

步骤4)进一步及细化为:Step 4) is further refined into:

Step1:初始化,假设ti时刻的水平集函数φ(m,n,ti)为已知,m、n是平面曲线的坐标;Step1: Initialization, assuming that the level set function φ(m,n,t i ) at time t i is known, m and n are the coordinates of the plane curve;

Step2:求解水平集方程:获得ti+1时刻的水平集函数φ(m,n,ti+1)在整个图像区域的值,此时记为Γi+1的演化曲线就是φ(m,n,ti+1)的零等值曲线,即Γi+1={φ(m,n,ti+1)=0},此时的φ(m,n,ti+1)不再是符号距离函数;Step2: Solve the level set equation: obtain the value of the level set function φ(m,n,t i +1 ) in the entire image area at time t i+1, and the evolution curve recorded as Γ i+1 at this time is φ(m ,n,t i+1 ), that is, Γ i+1 ={φ(m,n,t i+1 )=0}, at this time φ(m,n,t i+1 ) is no longer a signed distance function;

Step3:重新初始化,使用φ(m,n,ti+1)代替下式中的初始水平集函数φ0,迭代求解至稳定解,仍记为φ(m,n,ti+1):Step3: Re-initialize, use φ(m,n,t i+1 ) to replace the initial level set function φ 0 in the following formula, iteratively solve to a stable solution, which is still recorded as φ(m,n,t i+1 ):

其中φt为t时刻的水平集函数,φ(m,n)为初始的水平集函数;Where φ t is the level set function at time t, and φ(m,n) is the initial level set function;

Step4:结合φ(m,n,ti+1)的值,求解物理量的控制方程,得到ti+1时刻的物理量的值;Step4: Combining the value of φ(m,n,t i+1 ), solve the governing equation of the physical quantity, and obtain the value of the physical quantity at time t i+1 ;

Step5:重复步骤,进入下一时刻的计算,直至停止。Step5: Repeat the steps to enter the calculation at the next moment until it stops.

步骤6)建立待分割图像的Markov模型,对于Markov模型的求解,流程如下:Step 6) set up the Markov model of image to be segmented, for the solution of Markov model, flow process is as follows:

Step1:输入待分割的原始图像;Step1: input the original image to be divided;

Step2:对图像进行初始化,得到图像的初始标记场;Step2: Initialize the image to obtain the initial mark field of the image;

Step3:在上一步标号场的基础上对图像中每个像素遍历求使之取到满足迭代条件的标记,更新原有的标号场;Step3: On the basis of the label field in the previous step, each pixel in the image is traversed to obtain a label that satisfies the iteration condition, and the original label field is updated;

对Step3进行迭代直到收敛条件。Iterate Step3 until the convergence condition.

步骤6)进一步细化为:Step 6) is further refined as:

图像分割是基于像素的特征属性和区域属性给每一个像素分配标号的过程。在马尔可夫随机场模型(Markov Random Field,MRF)中,用两个随机场来描述待分割的图像,一个是标号场X,常称为隐随机场,用先验分布P(X)描述标号场的局部相关性;另一个是灰度场或特征场Y,以标号场为条件,用分布函数P(Y|X)描述观测数据或特征向量的分布,其中标号场X是马尔可夫场,满足Markov特性,其先验分布表示为Image segmentation is the process of assigning a label to each pixel based on its feature attributes and region attributes. In the Markov Random Field model (Markov Random Field, MRF), two random fields are used to describe the image to be segmented, one is the label field X, often called the hidden random field, described by the prior distribution P(X) The local correlation of the label field; the other is the gray field or feature field Y, which is conditioned on the label field and uses the distribution function P(Y|X) to describe the distribution of the observed data or feature vectors, where the label field X is the Markov field, which satisfies the Markov property, and its prior distribution is expressed as

其中A={1,…a}是图像中像素的集合,a是图中像素总数,xi∈{1,…,q}是像素i的类别标号,q是图像中像素类别的总数,Ni为像素i的邻域,根据Hammersley-Clifford等价定理,所有像素的联合概率分布为Where A={1,…a} is the set of pixels in the image, a is the total number of pixels in the image, x i ∈ {1,…,q} is the category label of pixel i, q is the total number of pixel categories in the image, N i is the neighborhood of pixel i, according to the Hammersley-Clifford equivalence theorem, the joint probability distribution of all pixels is

其中Z是归一化常数,U(x)是先验能量where Z is the normalization constant and U(x) is the prior energy

c是一个基团,即包含若干位置的集合,xi、xj是像素点i、j的类别标号,极端情况下认为邻域结构的所有子集都是基团,C表示基团的集合,Vc(x)是定义在基团c上的势函数,它仅与像素的邻域像素有关,式中V1(xi)对应于邻域相关函数,势团模型选择二阶的Potts模型进行估计,即仅考虑二阶邻域系统中两点间的相互作用,则用伪似然近似逼近的先验概率表达为:c is a group, that is, a set containing several positions, x i and x j are the category labels of pixel points i and j, in extreme cases, all subsets of the neighborhood structure are considered to be groups, and C represents a set of groups , V c (x) is the potential function defined on the group c, which is only related to the neighboring pixels of the pixel, where V 1 ( xi ) corresponds to the neighborhood correlation function, and the potential group model chooses the second-order Potts The model is estimated, that is, only the interaction between two points in the second-order neighborhood system is considered, and the prior probability approximated by the pseudo-likelihood is expressed as:

Potts模型: Potts model:

其中β是控制邻域间作用强度的函数,Ni、ni是像素i的邻域像素;Among them, β is a function to control the interaction strength between neighborhoods, N i and n i are the neighboring pixels of pixel i;

另一个随机场Y指待分割图像,它是可观测的随机过程,即P(Y)是固定的,则根据贝叶斯定理:Another random field Y refers to the image to be segmented, which is an observable random process, that is, P(Y) is fixed, then according to Bayes' theorem:

P(X|Y)∝P(X)P(Y|X) (13)P(X|Y)∝P(X)P(Y|X) (13)

将模型转化为对似然函数P(Y|X)和先验概率P(X)的求解,这里P(X|Y)是图像的后验概率,其中条件分布函数P(Y|X),通常用高斯分布描述:Transform the model into a solution to the likelihood function P(Y|X) and the prior probability P(X), where P(X|Y) is the posterior probability of the image, where the conditional distribution function P(Y|X), Usually described by a Gaussian distribution:

其中为相同标记为xi的区域像素灰度的方差,为像素i邻域灰度的均值;in is the variance of the pixel gray level of the same region marked as xi , is the mean value of the neighborhood gray value of pixel i;

引入Markov模型,根据公式(11)、公式(14)求解模型。Introduce the Markov model, and solve the model according to formula (11) and formula (14).

选取Potts模型作为公式(10)中的势团表达函数,采用条件迭代算法ICM(Iterative Conditional Mode)求解Markov模型。Select the Potts model as the potential group expression function in formula (10), and use the conditional iterative algorithm ICM (Iterative Conditional Mode) to solve the Markov model.

颈动脉超声图像内中膜厚度测量系统,由超声波装置及计算机组成,超声波装置测得的图像信息发送给计算机处理,计算机设置有如下模块:The carotid ultrasound image intima-media thickness measurement system consists of an ultrasound device and a computer. The image information measured by the ultrasound device is sent to the computer for processing. The computer is equipped with the following modules:

1)图像裁剪模块,裁剪移除无关信息,只保留血管部分;1) Image cropping module, which crops and removes irrelevant information, and only retains the blood vessel part;

2)自动提取感兴趣区域ROI(Region of Interest)模块;2) Automatically extract ROI (Region of Interest) module;

3)图像滤波模块,滤除回波反射带来的斑块噪声;3) Image filtering module, which filters out the speckle noise caused by echo reflection;

4)水平集分割模块,采用水平集分割算法追踪血管壁的管腔-内膜边界LII(Lumen-Intima Interface,);4) The level set segmentation module uses the level set segmentation algorithm to track the lumen-intima boundary LII (Lumen-Intima Interface,) of the vessel wall;

5)初始标记场模块,根据颈动脉血管壁各层近似平行的特性,在ROI中,将血管壁内膜边界向下平移一定像素距离,作为中膜-外膜边界中膜-外膜边界MAI(Media-Adventitia Interface,)的初始状态,然后依据这两条边界将ROI分割为管腔、内中膜、外膜三个部分,并将获得的分割图像作为Markov模型的初始标号场;5) The initial marker field module, according to the approximately parallel characteristics of each layer of the carotid artery wall, in the ROI, translate the intima boundary of the vessel wall downward by a certain pixel distance, and use it as the media-adventitia boundary media-adventitia boundary MAI (Media-Adventitia Interface,), and then divide the ROI into three parts: lumen, intima-media, and adventitia according to these two boundaries, and use the obtained segmented image as the initial label field of the Markov model;

6)再分割模块,引入Markov模型,根据初始标号场和灰度场对图像再次分割图像;6) Segmentation module again, introduces Markov model, divides image again to image according to initial label field and gray scale field;

7)后处理模块,对分割图像后处理,移除错分小区域,获得最终分割图像和LII、MAI,并测量内中膜厚度IMT(Intima Media Thickness)。7) The post-processing module is used to post-process the segmented image, remove misclassified small regions, obtain the final segmented image and LII, MAI, and measure the intima media thickness IMT (Intima Media Thickness).

本发明的特点及有益效果是:Features and beneficial effects of the present invention are:

水平集算法的本质是用高一维的曲面的零等高线作为目标边界去分割低一维的目标。如果从高维度看低纬度,低纬度的拓扑变化在高纬度中的表现为曲面的形态变化,不会造成曲面的拓扑结构变化。所以水平集算法具备相当强的低纬度的拓扑可变性。本发明引入水平集方法作为ROI的初始分割算法,方法稳定,有助于可靠结果的获得。Markov模型可以有效的刻画图像中邻域像素将的空间信息,能够使计算机的测量结果更加准确。本发明有力的支持了临床中颈动脉超声图像内中膜厚度的测量,为IMT计算机辅助测量技术的进一步优化发展提供了参考,对专家手动测量的方式是很好的补充。The essence of the level set algorithm is to use the zero contour line of the higher one-dimensional surface as the target boundary to segment the lower one-dimensional target. If one looks at low latitudes from high dimensions, topological changes at low latitudes appear as morphological changes of curved surfaces at high latitudes, and will not cause changes in the topological structure of curved surfaces. So the level set algorithm has quite strong low-latitude topological variability. The invention introduces the level set method as the initial segmentation algorithm of the ROI, and the method is stable and helps to obtain reliable results. The Markov model can effectively describe the spatial information of the neighboring pixels in the image, and can make the measurement results of the computer more accurate. The present invention strongly supports the measurement of intima-media thickness in clinical carotid ultrasound images, provides a reference for the further optimization and development of IMT computer-aided measurement technology, and is a good supplement to manual measurement by experts.

附图说明:Description of drawings:

图1算法流程图;Figure 1 algorithm flow chart;

图2初始颈动脉超声图像;Figure 2 Initial carotid ultrasound image;

图3裁剪后图像;Figure 3 cropped image;

图4 ROI;Figure 4 ROI;

图5滤波后图像;Figure 5 filtered image;

图6初始LII边界;Figure 6 Initial LII boundary;

图7初始LII、MAI边界;Figure 7 initial LII, MAI boundaries;

图8初始标号场;Figure 8 initial labeling field;

图9迭代后标号场;Figure 9 Label field after iteration;

图10最终分割图像;Fig. 10 final segmentation image;

图11最终LII、MAI边界。Figure 11 Final LII, MAI boundaries.

具体实施方式detailed description

本发明的目的就是为了提出一种可靠、自动颈动脉超声图像的测量算法,使用计算机辅助测量的方式避免手动测量方式存在的缺陷。基于此目的,针对目前的国内外研究现状,在本发明中采用水平集算法初步分割测量图像,并引入Markov模型,将图像分割问题转化为每一个像素分配标号的过程。The purpose of the present invention is to propose a reliable and automatic carotid artery ultrasonic image measurement algorithm, which uses computer-aided measurement to avoid the defects of manual measurement. Based on this purpose, aiming at the current research status at home and abroad, the present invention adopts the level set algorithm to initially segment the measurement image, and introduces the Markov model to transform the image segmentation problem into a process of assigning a label to each pixel.

本发明结合超声颈动脉图像的特点,在所给图像库的测试过程中,该发明能有效的完成分割颈动脉图像并测量IMT的工作,具有较好的理论和使用价值。The invention combines the characteristics of the ultrasonic carotid artery image, and can effectively complete the work of segmenting the carotid artery image and measuring the IMT during the test process of the given image library, and has good theoretical and application value.

为了实现上述目的,本发明采用如下的技术方案:In order to achieve the above object, the present invention adopts the following technical solutions:

1)图像裁剪。初始超声图像的周围分布有病人和超声仪器的相关信息,这些信息的存在会影响后续的图像处理步骤,因此需要裁剪移除这些部分,只保留血管部分。1) Image cropping. Information about the patient and the ultrasound instrument is distributed around the initial ultrasound image. The existence of this information will affect the subsequent image processing steps. Therefore, it is necessary to crop and remove these parts, and only keep the blood vessel part.

2)感兴趣区域(Region of Interest,ROI)提取。自动提取ROI可以避免手动分割ROI的繁琐,实现自动测量IMT的目的。2) Region of Interest (ROI) extraction. Automatic extraction of ROI can avoid the tedious manual segmentation of ROI and realize the purpose of automatic measurement of IMT.

3)图像滤波。超声图像以实时性、可重复性、非侵入性及成本低的优点,成为颈动脉检查的首选成像方式。然而,回波反射带来的斑块噪声不仅会减低图像的成像质量,更增加了计算机处理的难度,通过对图像进行滤波,降低噪声的影响,获得更加可信的结果。3) Image filtering. With the advantages of real-time, repeatability, non-invasiveness and low cost, ultrasound images have become the preferred imaging method for carotid artery examination. However, the speckle noise brought by echo reflection will not only reduce the imaging quality of the image, but also increase the difficulty of computer processing. By filtering the image, the influence of noise can be reduced, and more reliable results can be obtained.

4)水平集分割。采用水平集分割算法追踪血管壁的管腔-内膜边界((Lumen-Intima Interface,LII))。4) Level set segmentation. The lumen-intima boundary ((Lumen-Intima Interface, LII)) of the vessel wall was traced using a level set segmentation algorithm.

5)初始标号场。根据颈动脉血管壁各层近似平行的特性,在ROI中,将血管壁内膜边界向下平移一定像素距离,作为中膜-外膜边界中膜-外膜边界(Media-AdventitiaInterface,MAI)的初始状态。然后依据这两条边界将ROI分割为管腔、内中膜、外膜三个部分,并将获得的分割图像作为Markov模型的初始标号场。5) Initial label field. According to the approximately parallel characteristics of each layer of the carotid artery wall, in the ROI, the intima boundary of the vessel wall is translated downward by a certain pixel distance as the Media-Adventitia Interface (MAI) initial state. Then, according to these two boundaries, the ROI was segmented into lumen, intima-media, and adventitia, and the obtained segmented image was used as the initial label field of the Markov model.

6)再分割。引入Markov模型,根据初始标号场和灰度场对图像再次分割图像。6) Re-division. The Markov model is introduced to segment the image again according to the initial label field and the gray field.

7)后处理。对分割图像后处理,移除错分小区域,获得最终分割图像和LII、MAI,并测量IMT。7) post-processing. After processing the segmented image, remove the misclassified small area, obtain the final segmented image and LII, MAI, and measure the IMT.

下面结合附图与实施例对本发明作进一步说明。The present invention will be further described below in conjunction with the accompanying drawings and embodiments.

1)图像裁剪。在保证远端血管壁存在的条件下,截取超声图像中下方320×300像素大小的区域。1) Image cropping. Under the condition of ensuring the existence of the distal vessel wall, a region with a size of 320×300 pixels in the lower part of the ultrasound image was intercepted.

2)感兴趣区域(Region of Interest,ROI)提取。2) Region of Interest (ROI) extraction.

自动选取阈值并对其二值化。理想情况下,超声图像中血管的管腔和血管壁的灰度分别呈现出暗、亮的特点,因此根据图像灰度的统计规律,采用最大类间差法自适应获取灰度阈值,二值化图像。Automatically pick a threshold and binarize it. Ideally, the gray levels of the lumen and wall of the blood vessel in the ultrasound image are dark and bright, respectively. Therefore, according to the statistical law of the gray level of the image, the maximum inter-class difference method is used to adaptively obtain the gray level threshold, and the binary value image.

寻找远端血管壁的近似位置。超声图像中血管位置的不同、斑块噪声的存在,使二值化的图像可能存在多个白色区域。为了寻找与远端血管壁对应的白色区域,对二值图像形态学闭运算,填补图像中的孔洞,并根据远端血管壁位于超声图像下方的特点,利用连通域面积较大以及质心纵坐标较大的原则,选择期望的白色区域,其与黑色区域相交的上边界可认为是LII的近似位置。Find the approximate location of the distal vessel wall. Due to the different positions of blood vessels in ultrasound images and the existence of plaque noise, there may be multiple white areas in the binarized image. In order to find the white area corresponding to the distal vessel wall, the binary image morphological closed operation is performed to fill the holes in the image, and according to the characteristics that the distal vessel wall is located below the ultrasonic image, the large area of the connected domain and the vertical coordinate of the centroid are used The larger principle is to select the desired white area, and the upper boundary where it intersects with the black area can be considered as the approximate position of LII.

提取ROI。正常颈动脉血管的IMT约在0.5mm到1mm的范围内,对应超声图像中约8-16个像素点。考虑到血管可能存在弯曲和病变的情况,我们以LII的近似位置为标准,向上取40、向下取20像素尺度,分别作为ROI的上、下边界。在这一步骤中可以获得两个分别对应原始图像ROI。Extract ROIs. The IMT of normal carotid vessels is in the range of 0.5mm to 1mm, corresponding to about 8-16 pixels in the ultrasound image. Considering that there may be bends and lesions in the blood vessels, we take the approximate position of the LII as the standard, and take 40 pixels up and 20 pixels down as the upper and lower boundaries of the ROI, respectively. In this step, two ROIs respectively corresponding to the original image can be obtained.

3)图像滤波。3) Image filtering.

本发明选取双边滤波算法分别对两个ROI图像滤波。双边滤波算法是一种非线性滤波方法,计算量小,它在医学图像的去噪处理中有较好的表现,并且在去除噪声的同时能够较好地保持图像的边缘信息。该算法同时考虑了图像像素间的距离相似性和灰度值相似性,并且可以通过高斯分布来刻画。对图像f(r),基于像素间距离相似性和灰度相似性的滤波输出为:The present invention selects a bilateral filtering algorithm to filter two ROI images respectively. The bilateral filtering algorithm is a nonlinear filtering method with a small amount of calculation. It has a better performance in the denoising processing of medical images, and can better maintain the edge information of the image while removing the noise. The algorithm takes into account the distance similarity and gray value similarity between image pixels at the same time, and can be described by Gaussian distribution. For the image f(r), the filtering output based on the distance similarity and gray similarity between pixels is:

其中g(r)是滤波后图像,是像素ξ和r的相似性函数,为归一化函数。σ1是定义域方差,σ2是值域方差;where g(r) is the filtered image, is the similarity function of pixels ξ and r, is the normalization function. σ 1 is the domain variance, σ 2 is the range variance;

4)水平集分割。4) Level set segmentation.

Step1:初始化,假设ti时刻的水平集函数φ(m,n,ti)为已知,m、n是平面曲线的坐标;Step1: Initialization, assuming that the level set function φ(m,n,t i ) at time t i is known, m and n are the coordinates of the plane curve;

Step2:求解水平集方程:获得ti+1时刻的水平集函数φ(m,n,ti+1)在整个图像区域的值,此时记为Γi+1的演化曲线就是φ(m,n,ti+1)的零等值曲线,即Γi+1={φ(m,n,ti+1)=0},此时的φ(m,n,ti+1)不再是符号距离函数;Step2: Solve the level set equation: obtain the value of the level set function φ(m,n,t i +1 ) in the entire image area at time t i+1, and the evolution curve recorded as Γ i+1 at this time is φ(m ,n,t i+1 ), that is, Γ i+1 ={φ(m,n,t i+1 )=0}, at this time φ(m,n,t i+1 ) is no longer a signed distance function;

Step3:重新初始化,使用φ(m,n,ti+1)代替下式中的初始水平集函数φ0,迭代求解至稳定解,仍记为φ(m,n,ti+1):Step3: Re-initialize, use φ(m,n,t i+1 ) to replace the initial level set function φ 0 in the following formula, iteratively solve to a stable solution, which is still recorded as φ(m,n,t i+1 ):

其中φti+1为ti+1时刻的水平集函数。Among them, φ ti+1 is the level set function at time t i+1 .

Step4:结合φ(m,n,ti+1)的值,求解物理量的控制方程,得到ti+1时刻的物理量的值;Step4: Combining the value of φ(m,n,t i+1 ), solve the governing equation of the physical quantity, and obtain the value of the physical quantity at time t i+1 ;

Step5:重复步骤,进入下一时刻的计算,直至停止。Step5: Repeat the steps to enter the calculation at the next moment until it stops.

5)初始标号场。5) Initial label field.

建立初始标号场。根据ROI图像垂直方向边缘图,将初始LII向下平移一定距离(水平方向上平均梯度值最大位置),作为MAI的初始标记。ROI图像被LII和MAI划分为三部分,由上至下依次是:管腔(标记为1)、内中膜(标记为2)和外膜(标记为3)。Create an initial label field. According to the vertical edge map of the ROI image, the initial LII is translated down a certain distance (the maximum position of the average gradient value in the horizontal direction) as the initial mark of the MAI. The ROI image is divided into three parts by LII and MAI, from top to bottom: lumen (marked as 1), intima-media (marked as 2) and adventitia (marked as 3).

6)再分割。6) Re-division.

图像分割是基于像素的特征属性和区域属性给每一个像素分配标号的过程。在马尔可夫随机场模型(Markov Random Field,MRF)中,常用两个随机场来描述待分割的图像,一个是标号场X,常称为隐随机场,用先验分布P(X)描述标号场的局部相关性。另一个是灰度场或特征场Y,常以标号场为条件,用分布函数P(Y|X)描述观测数据或特征向量的分布。其中标号场X是马尔可夫场,满足Markov特性,其先验分布可表示为Image segmentation is the process of assigning a label to each pixel based on its feature attributes and region attributes. In the Markov Random Field model (Markov Random Field, MRF), two random fields are commonly used to describe the image to be segmented, one is the label field X, often called the hidden random field, described by the prior distribution P(X) Local correlation of label fields. The other is the gray field or feature field Y, which is often conditioned on the label field, and the distribution function P(Y|X) is used to describe the distribution of observed data or feature vectors. The label field X is a Markov field, which satisfies the Markov property, and its prior distribution can be expressed as

其中A={1,…a}是图像中像素的集合,a是图中像素总数,xi∈{1,…,q}是像素i的类别标号,q是图像中像素类别的总数,Ni为像素i的邻域。根据Hammersley-Clifford等价定理,所有像素的联合概率分布为Where A={1,…a} is the set of pixels in the image, a is the total number of pixels in the image, x i ∈ {1,…,q} is the category label of pixel i, q is the total number of pixel categories in the image, N i is the neighborhood of pixel i. According to the Hammersley-Clifford equivalence theorem, the joint probability distribution of all pixels is

其中Z是归一化常数,U(x)是先验能量where Z is the normalization constant and U(x) is the prior energy

c是一个基团,即包含若干位置的集合,xi、xj是像素点i、j的类别标号,极端情况下可以认为邻域结构的所有子集都是基团,C表示基团的集合。Vc(x)是定义在基团c上的势函数,它仅与像素的邻域像素有关,例式(10)中V1(xi)对应于邻域相关函数,势团模型选择二阶的Potts模型进行估计,即仅考虑二阶邻域系统中两点间的相互作用。则用伪似然近似逼近的先验概率表达为:c is a group, that is, a set containing several positions, x i and x j are the category labels of pixel points i and j, in extreme cases, it can be considered that all subsets of the neighborhood structure are groups, and C represents the group gather. V c (x) is the potential function defined on the group c, which is only related to the neighboring pixels of the pixel. In formula (10), V 1 ( xi ) corresponds to the neighborhood correlation function. The potential group model chooses two The first-order Potts model is estimated, that is, only the interaction between two points in the second-order neighborhood system is considered. Then the prior probability approximated by the pseudo-likelihood is expressed as:

Potts模型: Potts model:

其中β是控制邻域间作用强度的函数,Ni、ni是像素i的邻域像素。Among them, β is a function to control the interaction strength between neighborhoods, and N i and n i are the neighboring pixels of pixel i.

另一个随机场Y指待分割图像,它是可观测的随机过程,即P(Y)是固定的。则根据贝叶斯定理:Another random field Y refers to the image to be segmented, which is an observable random process, that is, P(Y) is fixed. Then according to Bayes' theorem:

P(X|Y)∝P(X)P(Y|X) (13)P(X|Y)∝P(X)P(Y|X) (13)

将模型转化为对似然函数P(Y|X)和先验概率P(X)的求解。这里P(X|Y)是图像的后验概率,其中条件分布函数P(Y|X),通常用高斯分布描述:Transform the model into a solution to the likelihood function P(Y|X) and the prior probability P(X). Here P(X|Y) is the posterior probability of the image, where the conditional distribution function P(Y|X) is usually described by a Gaussian distribution:

其中为相同标记(标记为xi)的区域像素灰度的方差,为像素i邻域灰度的均值。in is the variance of the pixel gray level of the same label (marked as xi ), is the mean value of the neighborhood gray value of pixel i.

引入Markov模型,根据公式(11)、公式(14)求解模型。选取Potts模型作为公式(10)中的势团表达函数。本发明中采用条件迭代算法(Iterative Conditional Mode,ICM)求解Markov模型。ICM是一种确定性算法,能够获得局部最优解。算法在每一步的迭代过程中,都要求达到最大化以便求解过程中能过快速地收敛达到局部最优解。ICM的计算量大大减少。Introduce the Markov model, and solve the model according to formula (11) and formula (14). The Potts model is selected as the potential group expression function in formula (10). In the present invention, a conditional iterative algorithm (Iterative Conditional Mode, ICM) is used to solve the Markov model. ICM is a deterministic algorithm capable of obtaining local optimal solutions. In the iterative process of each step of the algorithm, the maximization is required so that the solution process can converge too quickly to reach the local optimal solution. The calculation amount of ICM is greatly reduced.

7)后处理。7) post-processing.

我们采用最大连通域准则进行处理,移除离散小区域,得到最终分割图像。用Sobel算子提取分割图像中第二部分内中膜(标记为2)的边界,获取LII和MAI的最终轮廓。并计算边界间的平均距离,作为计算机辅助的颈动脉IMT距离。We use the maximum connected domain criterion to remove discrete small regions to obtain the final segmented image. The boundary of the second part of the intima-media (marked 2) in the segmented image was extracted with a Sobel operator to obtain the final contours of LII and MAI. And calculate the average distance between boundaries, as the computer-aided carotid IMT distance.

Claims (7)

1.一种颈动脉超声图像内中膜厚度测量方法,其特征是,步骤如下:1. a carotid ultrasound image intima-media thickness measurement method, is characterized in that, the steps are as follows: 1)图像裁剪,裁剪移除无关信息,只保留血管部分;1) Image cropping, cropping removes irrelevant information, and only retains the blood vessel part; 2)自动提取感兴趣区域ROI(Region of Interest);2) Automatically extract ROI (Region of Interest); 3)图像滤波,滤除回波反射带来的斑块噪声;3) Image filtering to filter out the speckle noise caused by echo reflection; 4)水平集分割,采用水平集分割算法追踪血管壁的管腔-内膜边界LII(Lumen-IntimaInterface,);4) Level set segmentation, using a level set segmentation algorithm to track the lumen-intima boundary LII (Lumen-IntimaInterface,) of the vessel wall; 5)初始标记场,根据颈动脉血管壁各层近似平行的特性,在ROI中,将血管壁内膜边界向下平移一定像素距离,作为中膜-外膜边界中膜-外膜边界MAI(Media-AdventitiaInterface,)的初始状态,然后依据这两条边界将ROI分割为管腔、内中膜、外膜三个部分,并将获得的分割图像作为Markov模型的初始标号场;5) The initial labeling field, according to the approximately parallel characteristics of each layer of the carotid artery wall, in the ROI, the intima boundary of the vessel wall is translated downward by a certain pixel distance, which is used as the media-adventitia boundary media-adventitia boundary MAI( Media-AdventitiaInterface,), and then divide the ROI into three parts: lumen, intima-media, and adventitia according to these two boundaries, and use the obtained segmented image as the initial label field of the Markov model; 6)再分割,引入Markov模型,根据初始标号场和灰度场对图像再次分割图像;6) re-segmentation, introducing the Markov model, and re-segmenting the image according to the initial label field and the gray field; 7)后处理,对分割图像后处理,移除错分小区域,获得最终分割图像和LII、MAI,并测量内中膜厚度IMT(Intima Media Thickness)。7) Post-processing, post-processing the segmented image, removing misclassified small areas, obtaining the final segmented image and LII, MAI, and measuring the intima media thickness IMT (Intima Media Thickness). 2.如权利要求1所述的颈动脉超声图像内中膜厚度测量方法,其特征是,步骤2)具体步骤是:根据超声图像灰度的统计规律,采用最大类间差法自适应获取灰度阈值,二值化超声图像;然后,对二值化超声图像形态学闭运算,再填补图像中的孔洞,利用连通域面积较大以及质心纵坐标较大的原则,选择期望的白色区域,其与黑色区域相交的上边界认为是LII的近似位置;最后以LII的近似位置为标准,向上取40、向下取20像素尺度,分别作为ROI的上、下边界,获得两个分别对应原始图像ROI。2. the carotid ultrasound image intima-media thickness measurement method as claimed in claim 1, is characterized in that, step 2) specific steps are: according to the statistical law of ultrasound image grayscale, adopt maximum inter-class difference method adaptively to obtain grayscale degree threshold, and binarize the ultrasonic image; then, perform a morphological closed operation on the binarized ultrasonic image, and then fill the holes in the image, and select the desired white area by using the principle of larger connected domain area and larger vertical coordinate of the centroid, The upper boundary where it intersects with the black area is considered to be the approximate position of LII; finally, taking the approximate position of LII as the standard, take 40 pixels up and 20 pixels down as the upper and lower boundaries of the ROI respectively, and obtain two corresponding to the original Image ROIs. 3.如权利要求1所述的颈动脉超声图像内中膜厚度测量方法,其特征是,步骤3)图像滤波是基于像素间距离相似性和灰度相似性的滤波,滤波输出为:3. carotid ultrasound image intima-media thickness measurement method as claimed in claim 1, is characterized in that, step 3) image filtering is based on the filtering of inter-pixel distance similarity and gray scale similarity, and filtering output is: gg (( rr )) == kk -- 11 (( rr )) ∫∫ -- ∞∞ ∞∞ ∫∫ -- ∞∞ ∞∞ ff (( ξξ )) cc (( ξξ ,, rr )) sthe s (( ξξ ,, rr )) dd ξξ -- -- -- (( 66 )) 其中g(r)是滤波后图像,是像素ξ和像素r的相似性函数,为归一化函数,σ1是定义域方差,σ2是值域方差。where g(r) is the filtered image, is the similarity function of pixel ξ and pixel r, is a normalization function, σ 1 is the domain variance, and σ 2 is the value domain variance. 4.如权利要求1所述的颈动脉超声图像内中膜厚度测量方法,其特征是,步骤4)进一步及细化为:4. carotid ultrasound image intima-media thickness measuring method as claimed in claim 1, is characterized in that, step 4) is further and refined as: Step1:初始化,假设ti时刻的水平集函数φ(m,n,ti)为已知,m、n是平面曲线的坐标;Step1: Initialization, assuming that the level set function φ(m,n,t i ) at time t i is known, m and n are the coordinates of the plane curve; Step2:求解水平集方程:获得ti+1时刻的水平集函数φ(m,n,ti+1)在整个图像区域的值,此时记为Γi+1的演化曲线就是φ(m,n,ti+1)的零等值曲线,即Γi+1={φ(m,n,ti+1)=0},此时的φ(m,n,ti+1)不再是符号距离函数;Step2: Solve the level set equation: obtain the value of the level set function φ(m,n,t i +1 ) in the entire image area at time t i+1, and the evolution curve recorded as Γ i+1 at this time is φ(m ,n,t i+1 ), that is, Γ i+1 ={φ(m,n,t i+1 )=0}, at this time φ(m,n,t i+1 ) is no longer a signed distance function; Step3:重新初始化,使用φ(m,n,ti+1)代替下式中的初始水平集函数φ0,迭代求解至稳定解,仍记为φ(m,n,ti+1):Step3: Re-initialize, use φ(m,n,t i+1 ) to replace the initial level set function φ 0 in the following formula, iteratively solve to a stable solution, which is still recorded as φ(m,n,t i+1 ): φφ tt == sthe s ii gg nno (( φφ 00 )) (( 11 -- || ▿▿ φφ || )) φφ (( mm ,, nno )) nno == 00 == φφ 00 -- -- -- (( 77 )) 其中φt为t时刻的水平集函数,φ(m,n)为初始的水平集函数;Where φ t is the level set function at time t, and φ(m,n) is the initial level set function; Step4:结合φ(m,n,ti+1)的值,求解物理量的控制方程,得到ti+1时刻的物理量的值;Step4: Combining the value of φ(m,n,t i+1 ), solve the governing equation of the physical quantity, and obtain the value of the physical quantity at time t i+1 ; Step5:重复步骤,进入下一时刻的计算,直至停止。Step5: Repeat the steps to enter the calculation at the next moment until it stops. 5.如权利要求1所述的颈动脉超声图像内中膜厚度测量方法,其特征是,步骤6)建立待分割图像的Markov模型,对于Markov模型的求解,流程如下:5. carotid ultrasound image intima-media thickness measuring method as claimed in claim 1, is characterized in that, step 6) sets up the Markov model of image to be segmented, for the solution of Markov model, flow process is as follows: Step1:输入待分割的原始图像;Step1: input the original image to be divided; Step2:对图像进行初始化,得到图像的初始标记场;Step2: Initialize the image to obtain the initial mark field of the image; Step3:在上一步标号场的基础上对图像中每个像素遍历求使之取到满足迭代条件的标记,更新原有的标号场;Step3: On the basis of the label field in the previous step, each pixel in the image is traversed to obtain a label that satisfies the iteration condition, and the original label field is updated; 对Step3进行迭代直到收敛条件。Iterate Step3 until the convergence condition. 6.如权利要求5所述的颈动脉超声图像内中膜厚度测量方法,其特征是,步骤6)进一步细化为:图像分割是基于像素的特征属性和区域属性给每一个像素分配标号的过程。在马尔可夫随机场模型(Markov Random Field,MRF)中,用两个随机场来描述待分割的图像,一个是标号场X,常称为隐随机场,用先验分布P(X)描述标号场的局部相关性;另一个是灰度场或特征场Y,以标号场为条件,用分布函数P(Y|X)描述观测数据或特征向量的分布,其中标号场X是马尔可夫场,满足Markov特性,其先验分布表示为:6. carotid artery ultrasound image intima-media thickness measuring method as claimed in claim 5, is characterized in that, step 6) is further refined as: image segmentation is based on the characteristic attribute of pixel and the region attribute to assign label to each pixel process. In the Markov Random Field model (Markov Random Field, MRF), two random fields are used to describe the image to be segmented, one is the label field X, often called the hidden random field, described by the prior distribution P(X) The local correlation of the label field; the other is the gray field or feature field Y, which is conditioned on the label field and uses the distribution function P(Y|X) to describe the distribution of the observed data or feature vectors, where the label field X is the Markov The field satisfies the Markov property, and its prior distribution is expressed as: pp (( xx ii || xx AA -- {{ ii }} )) == pp (( xx ii || xx NN ii )) ,, ∀∀ ii ∈∈ AA -- -- -- (( 88 )) 其中A={1,…a}是图像中像素的集合,a是图中像素总数,xi∈{1,…,q}是像素i的类别标号,q是图像中像素类别的总数,Ni为像素i的邻域,根据Hammersley-Clifford等价定理,所有像素的联合概率分布为:Where A={1,…a} is the set of pixels in the image, a is the total number of pixels in the image, x i ∈ {1,…,q} is the category label of pixel i, q is the total number of pixel categories in the image, N i is the neighborhood of pixel i, according to the Hammersley-Clifford equivalence theorem, the joint probability distribution of all pixels is: pp (( xx )) == 11 ZZ expexp (( -- Uu (( xx )) )) ,, ZZ == ΣΣ xx ∈∈ Xx expexp (( -- Uu (( xx )) )) -- -- -- (( 99 )) 其中Z是归一化常数,U(x)是先验能量:where Z is a normalization constant and U(x) is the prior energy: Uu (( xx )) == ΣΣ cc ∈∈ CC VV cc (( xx )) == ΣΣ {{ ii }} ∈∈ CC 11 VV 11 (( xx ii )) ++ ΣΣ {{ ii ,, jj }} ∈∈ CC 22 VV 22 (( xx ii ,, xx jj )) ++ ...... -- -- -- (( 1010 )) c是一个基团,即包含若干位置的集合,xi、xj是像素点i、j的类别标号,极端情况下认为邻域结构的所有子集都是基团,C表示基团的集合,Vc(x)是定义在基团c上的势函数,它仅与像素的邻域像素有关,式中V1(xi)对应于邻域相关函数,势团模型选择二阶的Potts模型进行估计,即仅考虑二阶邻域系统中两点间的相互作用,则用伪似然近似逼近的先验概率表达为:c is a group, that is, a set containing several positions, x i and x j are the category labels of pixel points i and j, in extreme cases, all subsets of the neighborhood structure are considered to be groups, and C represents a set of groups , V c (x) is the potential function defined on the group c, which is only related to the neighboring pixels of the pixel, where V 1 ( xi ) corresponds to the neighborhood correlation function, and the potential group model chooses the second-order Potts The model is estimated, that is, only the interaction between two points in the second-order neighborhood system is considered, and the prior probability approximated by the pseudo-likelihood is expressed as: pp (( Xx == xx )) == ΠΠ ii == 11 aa pp (( xx ii || xx NN ii )) == ΠΠ ii == 11 aa expexp [[ -- βnβn ii (( xx ii )) ]] ΣΣ xx ii ∈∈ qq expexp [[ -- βnβn ii (( xx ii )) ]] -- -- -- (( 1111 )) Potts模型: Potts model: 其中β是控制邻域间作用强度的函数,Ni、ni是像素i的邻域像素;Among them, β is a function to control the interaction strength between neighborhoods, N i and n i are the neighboring pixels of pixel i; 另一个随机场Y指待分割图像,它是可观测的随机过程,即P(Y)是固定的,则根据贝叶斯定理:Another random field Y refers to the image to be segmented, which is an observable random process, that is, P(Y) is fixed, then according to Bayes' theorem: P(X|Y)∝P(X)P(Y|X) (13)P(X|Y)∝P(X)P(Y|X) (13) 将模型转化为对似然函数P(Y|X)和先验概率P(X)的求解,这里P(X|Y)是图像的后验概率,其中条件分布函数P(Y|X),通常用高斯分布描述:Transform the model into a solution to the likelihood function P(Y|X) and the prior probability P(X), where P(X|Y) is the posterior probability of the image, where the conditional distribution function P(Y|X), Usually described by a Gaussian distribution: PP (( YY || Xx )) == ΠΠ ii ∈∈ AA pp (( ythe y ii || xx ii )) == ΠΠ ii ∈∈ AA 11 22 πσπσ xx ii 22 expexp [[ -- (( ythe y ii -- μμ xx ii )) 22 22 σσ xx ii 22 ]] -- -- -- (( 1414 )) 其中为相同标记为xi的区域像素灰度的方差,为像素i邻域灰度的均值;in is the variance of the pixel gray level of the same region marked as xi , is the mean value of the neighborhood gray value of pixel i; 引入Markov模型,根据公式(11)、公式(14)求解模型;Introduce the Markov model and solve the model according to formula (11) and formula (14); 选取Potts模型作为公式(10)中的势团表达函数,采用条件迭代算法ICM(IterativeConditional Mode)求解Markov模型。Select the Potts model as the potential group expression function in formula (10), and use the conditional iterative algorithm ICM (IterativeConditional Mode) to solve the Markov model. 7.一种颈动脉超声图像内中膜厚度测量系统,其特征是,由超声波装置及计算机组成,超声波装置测得的图像信息发送给计算机处理,计算机设置有如下模块:7. A carotid ultrasound image intima-media thickness measurement system is characterized in that it is made up of an ultrasound device and a computer, and the image information measured by the ultrasound device is sent to a computer for processing, and the computer is provided with the following modules: 1)图像裁剪模块,裁剪移除无关信息,只保留血管部分;1) Image cropping module, which crops and removes irrelevant information, and only retains the blood vessel part; 2)自动提取感兴趣区域ROI(Region of Interest)模块;2) Automatically extract ROI (Region of Interest) module; 3)图像滤波模块,滤除回波反射带来的斑块噪声;3) Image filtering module, which filters out the speckle noise caused by echo reflection; 4)水平集分割模块,采用水平集分割算法追踪血管壁的管腔-内膜边界LII(Lumen-Intima Interface,);4) The level set segmentation module uses the level set segmentation algorithm to track the lumen-intima boundary LII (Lumen-Intima Interface,) of the vessel wall; 5)初始标记场模块,根据颈动脉血管壁各层近似平行的特性,在ROI中,将血管壁内膜边界向下平移一定像素距离,作为中膜-外膜边界中膜-外膜边界MAI(Media-AdventitiaInterface,)的初始状态,然后依据这两条边界将ROI分割为管腔、内中膜、外膜三个部分,并将获得的分割图像作为Markov模型的初始标号场;5) The initial marker field module, according to the approximately parallel characteristics of each layer of the carotid artery wall, in the ROI, the intima boundary of the vessel wall is translated downward by a certain pixel distance, and used as the media-adventitia boundary media-adventitia boundary MAI The initial state of (Media-AdventitiaInterface,), and then divide the ROI into three parts: lumen, intima-media, and adventitia according to these two boundaries, and use the obtained segmented image as the initial label field of the Markov model; 6)再分割模块,引入Markov模型,根据初始标号场和灰度场对图像再次分割图像;6) Segmentation module again, introduces Markov model, divides image again to image according to initial label field and gray scale field; 7)后处理模块,对分割图像后处理,移除错分小区域,获得最终分割图像和LII、MAI,并测量内中膜厚度IMT(Intima Media Thickness)。7) The post-processing module is used to post-process the segmented image, remove misclassified small areas, obtain the final segmented image and LII, MAI, and measure the intima media thickness IMT (Intima Media Thickness).
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