CN105335742A - Robust feature statistics based three-dimensional region adaptive segmentation method - Google Patents
Robust feature statistics based three-dimensional region adaptive segmentation method Download PDFInfo
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Abstract
本发明涉及自适应分割技术领域,特别涉及一种基于鲁棒特征统计的三维区域自适应分割方法,包括如下步骤:A.采用LARFS分割方法,分别借鉴RG分割算法与RSS分割算法的原理并结合应用;B.在三维数据空间中选取种子点,进行三维影像几何特征自适应建模;C.根据LARFS分割方法,基于水平集的RSS快速分割算法对图像生长特征进行建模;D.采用水平集方法对特征区域轮廓进行演化,将传统的区域增长算法与统计学方法结合应用,充分利用图像的区域信息,表示局部分割特征并驱动轮廓演化,采用LARFS方法,能够有效防止噪声干扰,减少使用者的干预操作,得到较好的分割效果。
The present invention relates to the field of adaptive segmentation technology, in particular to a three-dimensional area adaptive segmentation method based on robust feature statistics, comprising the following steps: A. Adopting the LARFS segmentation method, respectively referring to the principles of the RG segmentation algorithm and the RSS segmentation algorithm and combining them Application; B. Select seed points in the 3D data space to perform self-adaptive modeling of 3D image geometric features; C. According to the LARFS segmentation method, the RSS fast segmentation algorithm based on the level set is used to model the image growth characteristics; D. Using the level The set method evolves the outline of the feature area, combines the traditional area growth algorithm with the statistical method, makes full use of the area information of the image, expresses the local segmentation feature and drives the outline evolution, and adopts the LARFS method, which can effectively prevent noise interference and reduce the use of The operator's intervention operation can get a better segmentation effect.
Description
技术领域technical field
本发明涉及自适应分割技术领域,特别涉及一种基于鲁棒特征统计的三维区域自适应分割方法。The invention relates to the technical field of adaptive segmentation, in particular to a method for adaptive segmentation of three-dimensional regions based on robust feature statistics.
背景技术Background technique
RG分割能够较好解决三维图像处理软件中感兴趣区域(ROI)的适形确定问题,且显著改善了传统手动分割方法的效率,但仍然需要大量的人下操作,理想的ROI分割方法是无需太多主观干预的,完全自动或半自动的自适应算法,仅仅需要操作者对输出结果进行修正和确认。RG segmentation can better solve the problem of conformal determination of region of interest (ROI) in 3D image processing software, and significantly improves the efficiency of traditional manual segmentation methods, but still requires a lot of manual operations. The ideal ROI segmentation method does not require Too many subjective interventions, fully automatic or semi-automatic adaptive algorithms, only require the operator to correct and confirm the output results.
目前,基于三维图像的半自动分割算法研究很多,例如基于灰度层次的方法、水平集方法、图切割算法和统计学分割方法等。以上算法针对的三维ROI分割场景各不相同,由于三维图像在成像或重构时会受到噪声、偏移场效应、局部体效应或组织运动等的影响,往往具有局部不均匀性或模糊性等质量缺陷,因此在进行ROI分割时易产生分割不足或泄漏现象。At present, there are many researches on semi-automatic segmentation algorithms based on 3D images, such as methods based on gray levels, level set methods, graph cutting algorithms, and statistical segmentation methods. The 3D ROI segmentation scenarios targeted by the above algorithms are different. Since the 3D image will be affected by noise, offset field effect, local volume effect or tissue movement during imaging or reconstruction, it often has local inhomogeneity or blur. Quality defects, so it is easy to produce insufficient segmentation or leakage when performing ROI segmentation.
发明内容Contents of the invention
本发明的目的在于针对现有技术的缺陷和不足,提供一种分割效果好的基于鲁棒特征统计的三维区域自适应分割方法,它基于体素信息的半自动分割方法,有效防止噪声干扰,减少医生的干预操作,得到较好的分割结果。The object of the present invention is to aim at the defects and deficiencies of the prior art, and provide a three-dimensional region adaptive segmentation method based on robust feature statistics with good segmentation effect, which is based on a semi-automatic segmentation method of voxel information, effectively prevents noise interference, reduces The doctor's intervention operation can get better segmentation results.
为实现上述目的,本发明采用的技术方案是:In order to achieve the above object, the technical scheme adopted in the present invention is:
本发明所述的一种基于鲁棒特征统讣的三维区域自适应分割方法,包括如下步骤:A kind of three-dimensional area self-adaptive segmentation method based on robust feature system of the present invention, comprises the following steps:
A.采用LARFS分割方法,分别借鉴RG分割算法与RSS分割算法的原理并结合应用;A. Using the LARFS segmentation method, respectively refer to the principles of the RG segmentation algorithm and the RSS segmentation algorithm and apply them in combination;
B.在三维数据空间中选取种子点,进行三维影像几何特征自适应建模;B. Select seed points in the 3D data space to perform adaptive modeling of geometric features of 3D images;
C.根据LARFS分割方法,基于水平集的RSS快速分割算法对图像生长特征进行建模;C. According to the LARFS segmentation method, the RSS fast segmentation algorithm based on the level set is used to model the image growth characteristics;
D.采用水平集方法对特征区域轮廓进行演化。D. Use the level set method to evolve the contour of the feature area.
进一步地,所述的步骤A,在图像轮廓演变过程,基于统计学的方法抽取更多的图像局部稳健特征信息。Further, in the step A, during the evolution process of the image contour, more local robust feature information of the image is extracted based on a statistical method.
进一步地,所述的步骤A,是先人工选取单颗种子点作为输入信息,利用RG分割算法根据种子点及邻域属性进行图像特征建模,并在三维数据场中进行区域自适应生长;此后将适应结果点集作为输入特征标签进行图像区域特征统计和建模;然后使用水平集算法对特征区域的轮廓进行演化;最终得到分割结果。Further, the step A is to first manually select a single seed point as input information, use the RG segmentation algorithm to perform image feature modeling according to the seed point and neighborhood attributes, and perform regional adaptive growth in the three-dimensional data field; Afterwards, the adaptation result point set is used as the input feature label for image area feature statistics and modeling; then the level set algorithm is used to evolve the outline of the feature area; finally the segmentation result is obtained.
进一步地,所述RG算法为一种半自动分割方法,进行RG算法前,操作者需要对图像中的目标ROI区域标记种子信息,算法开始时,系统将自动检查种子点所行相邻体素的特征值,并根据其与种子的相似程度来决定是否将该相邻体素加入分割结果中。Further, the RG algorithm is a semi-automatic segmentation method. Before performing the RG algorithm, the operator needs to mark the seed information on the target ROI area in the image. When the algorithm starts, the system will automatically check the adjacent voxels of the seed point. feature value, and decide whether to add the adjacent voxel to the segmentation result according to its similarity with the seed.
进一步地,所述RSS算法综合应用图像位置信息和像素信息对特征图像建模,然后通过几何主动轮廓模型进行轮廓演化。Further, the RSS algorithm comprehensively applies image position information and pixel information to model the feature image, and then performs contour evolution through a geometric active contour model.
进一步地,所述的步骤B,是先根据种子点及其相邻26个空间点的灰度值计算出一个阈值区间;然后一种子点为基准向外生长,将图像区域灰度值在阈值区间内的点分割出来,作为新的种子点;此后重复上述过程,直至生长范围不在扩大或迭代次数达到预先设定值位置;最终得到种子点集合,即为几何特征自适应结果。Further, the step B is to first calculate a threshold interval based on the gray value of the seed point and its adjacent 26 spatial points; The points in the interval are divided and used as new seed points; after that, the above process is repeated until the growth range is no longer expanded or the number of iterations reaches the preset value position; finally, a set of seed points is obtained, which is the result of geometric feature adaptation.
进一步地,所述的步骤C,是先提取图像局部位置信息和像素信息;然后根据每一时刻特征区域的初始范围通过几何主动轮廓模型进行轮廓演化。Further, the step C is to first extract the local position information and pixel information of the image; and then perform contour evolution through the geometric active contour model according to the initial range of the feature region at each moment.
进一步地,所述的步骤D,通过将二维曲线嵌入至三维平面中,实现闭合分割轮廓曲线的分裂与合并。Further, in the step D, the splitting and merging of the closed segmented contour curves is realized by embedding the two-dimensional curves into the three-dimensional plane.
采用上述结构后,本发明有益效果为:本发明所述的一种基于鲁棒特征统计的三维区域自适应分割方法,将传统的区域增长算法与统计学方法结合应用,充分利用图像的区域信息,表示局部分割特征并驱动轮廓演化,采用LARFS方法,能够有效防止噪声干扰,减少使用者的干预操作,得到较好的分割效果。After adopting the above structure, the beneficial effect of the present invention is: a three-dimensional region self-adaptive segmentation method based on robust feature statistics described in the present invention combines traditional region growth algorithms with statistical methods to make full use of image region information , represents the local segmentation feature and drives the contour evolution. Using the LARFS method can effectively prevent noise interference, reduce user intervention, and obtain better segmentation results.
附图说明Description of drawings
图1为本发明中LARFS分割方法流程图;Fig. 1 is the flow chart of LARFS segmentation method among the present invention;
图2为本发明中阈值区间计算公式。Fig. 2 is the formula for calculating the threshold interval in the present invention.
图3为本发明中水平集方法的几何主动轮廓演化流程图。Fig. 3 is a flow chart of geometric active contour evolution of the level set method in the present invention.
图4为本发明中单个体素改变量计算公式。Fig. 4 is the formula for calculating the change amount of a single voxel in the present invention.
具体实施方式detailed description
下面结合附图对本发明作进一步的说明。The present invention will be further described below in conjunction with the accompanying drawings.
如图1至图4所示,本发明所述的一种基于鲁棒特征统计的三维区域自适应分割方法,包括如下步骤:As shown in Figures 1 to 4, a method for adaptive segmentation of three-dimensional regions based on robust feature statistics according to the present invention includes the following steps:
A.采用LARFS分割方法,分别借鉴RG分割算法与RSS分割算法的原理并结合应用;A. Using the LARFS segmentation method, respectively refer to the principles of the RG segmentation algorithm and the RSS segmentation algorithm and apply them in combination;
B.在三维数据空间中选取种子点,进行三维影像几何特征自适应建模;B. Select seed points in the 3D data space to perform adaptive modeling of geometric features of 3D images;
C.根据LARFS分割方法,基于水平集的RFS快速分割算法对图像生长特征进行建模;C. According to the LARFS segmentation method, the RFS fast segmentation algorithm based on the level set is used to model the image growth characteristics;
D.采用水平集方法对特征区域轮廓进行演化。。D. Use the level set method to evolve the contour of the feature area. .
所述的步骤A,在图像轮廓演变过程,基于统计学的方法抽取更多的图像局部稳健特征信息。In the step A, during the evolution process of the image contour, more local robust feature information of the image is extracted based on a statistical method.
所述的步骤A,是先人工选取单颗种子点作为输入信息,利用RG分割算法根据种子点及邻域属性进行图像特征建模,并在三维数据场中进行区域自适应生长;此后将适应结果点集作为输入特征标签进行图像区域特征统计和建模;然后使用水平集算法对特征区域的轮廓进行演化;最终得到分割结果。Described step A is to first manually select a single seed point as input information, use the RG segmentation algorithm to carry out image feature modeling according to the seed point and neighborhood attributes, and perform region-adaptive growth in the three-dimensional data field; The resulting point set is used as the input feature label for image area feature statistics and modeling; then the level set algorithm is used to evolve the outline of the feature area; finally the segmentation result is obtained.
所述RG算法为一种半自动分割方法,进行RG算法前,使用者需要在图像中的ROI区域标记种子信息,算法开始时,系统将自动检查种子点所有相邻体素的特征值,并根据其与种子的相似程度来决定是否将该相邻体素加入分割结果中。The RG algorithm is a semi-automatic segmentation method. Before performing the RG algorithm, the user needs to mark the seed information in the ROI area in the image. When the algorithm starts, the system will automatically check the feature values of all adjacent voxels of the seed point, and based on The degree of similarity between it and the seed determines whether to add the adjacent voxel to the segmentation result.
所述RSS算法综合应用图像位置信息和像素信息对特征图像建模,然后通过几何主动轮廓模型进行轮廓演化。The RSS algorithm comprehensively applies image position information and pixel information to model a feature image, and then performs contour evolution through a geometric active contour model.
所述的步骤B,是先根据种子点及其相邻26个空间点的灰度值计算出一个阈值区间;然后一种子点为基准向外生长,将图像区域灰度值在阈值区间内的点分割出来,作为新的种子点;此后重复上述过程,直至生长范围不在扩大或迭代次数达到预先设定值位置;最终得到种子点集合,即为几何特征自适应结果。The step B is to first calculate a threshold value interval based on the gray value of the seed point and its adjacent 26 spatial points; Points are segmented and used as new seed points; after that, the above process is repeated until the growth range is no longer expanded or the number of iterations reaches the preset value position; finally, a set of seed points is obtained, which is the result of geometric feature adaptation.
所述的步骤C,是先提取图像局部位置信息和像素信息;然后根据每一时刻特征区域的初始范围通过几何主动轮廓模型进行轮廓演化。The step C is to first extract the local position information and pixel information of the image; then perform contour evolution through the geometric active contour model according to the initial range of the feature region at each moment.
所述的步骤D,通过将二维曲线嵌入至三维平面中,实现闭合分割轮廓曲线的分裂与合并。In the step D, the splitting and merging of the closed segmented contour curves is realized by embedding the two-dimensional curves into the three-dimensional plane.
如图1所示,本发明中LARFS分割方法的系统流程如下:As shown in Figure 1, the system flow of LARFS segmentation method among the present invention is as follows:
(1)三维图像序列获取;(1) Three-dimensional image sequence acquisition;
(2)体绘制可视化渲染;(2) Visual rendering of volume rendering;
(3)种子点标记;(3) Seed point mark;
(4)三维区域增长分割;(4) Three-dimensional region growth segmentation;
(5)输出区域数据信息;(5) output area data information;
(6)区域特征向量统计;(6) Regional feature vector statistics;
(7)数值轮廓演变;(7) Numerical profile evolution;
(8)输出三维数据场;(8) output three-dimensional data field;
(9)分割结果表面重构;(9) Segmentation result surface reconstruction;
步骤(9)后再次进行步骤(2)体绘制可视化渲染,产生叠加显示。After the step (9), perform the step (2) volume rendering visualization rendering again to generate superimposed display.
本发明中计算阈值区间的方法,选取种子点集的领域灰度平均值MEAN和标准方差VARIANCE计算底N次迭代的置信区间ΩN,计算过程公式如图2中公式(3-24)、(3-25)和(3-26)所示;In the method for calculating the threshold interval in the present invention, the field gray mean value MEAN and the standard variance VARIANCE of the seed point set are selected to calculate the confidence interval Ω N of the bottom N iterations, and the calculation process formula is shown in formula (3-24) and ( 3-25) and (3-26);
其中,Seeds表示种子点数量,VoxelSize代表种子点集领域内样本体素数量,0是生长因子;Among them, Seeds represents the number of seed points, VoxelSize represents the number of sample voxels in the field of seed point set, and 0 is the growth factor;
计算上述领域灰度平均值MEAN、标准方差VARIANCE和置信区间ΩN后,再计算单颗种子点的领域灰度平均值mean和平方和seedsqr,计算过程公式如图2中公式(3-27)和(3-28)所示;After calculating the above-mentioned field gray mean MEAN, standard deviation VARIANCE and confidence interval Ω N , then calculate the field gray mean mean and square sum seedsqr of a single seed point, the calculation process formula is shown in formula (3-27) in Figure 2 and (3-28);
其中,voxel1表示种子点i的灰度值。以上方法利用了概率论中对置信区间的估计,生长因子的取值会直接影响整体方法的分割效果,分割区域范围与θ的取值大小成正比,对于满足正态分布的像素样本,θ取2.5即可满足99%的置信度。Among them, voxel 1 represents the gray value of the seed point i. The above method uses the estimation of the confidence interval in probability theory. The value of the growth factor will directly affect the segmentation effect of the overall method. The range of the segmented area is proportional to the value of θ. For pixel samples that satisfy the normal distribution, θ is taken as 2.5 is sufficient for a 99% confidence level.
本发明将中算法在运行前需要输入靶区的种子点集,并引入稳健统计理论对每个种子定义3个对噪声不敏感且可以快速计算的特征值,分别为领域内样本体素的中位数MED(x),标准四分间距IQR(x)和中为标准差MAD(x),其中,MED(x)表示将样本中各个变量值按大小顺序排列起来后,处数列中间位置的变量值;IQR(x)为该数列中位于75%位置的变量值与位于25%位置的变量值之差;MAD(x)是指样本中的个体逐一减去中位数,得到的新数列从新排列后的中位数;In the present invention, the center algorithm needs to input the seed point set of the target area before running, and introduces the robust statistical theory to define three eigenvalues that are not sensitive to noise and can be quickly calculated for each seed, which are respectively the center points of the sample voxels in the field. The number of digits MED(x), the standard interquartile interval IQR(x) and the middle is the standard deviation MAD(x), where MED(x) represents the middle position of the sequence after the variable values in the sample are arranged in order of size Variable value; IQR(x) is the difference between the variable value at the 75% position and the variable value at the 25% position in the series; MAD(x) refers to the new series obtained by subtracting the median from the individuals in the sample one by one The median after the rearrangement;
如图3所示,本发明中水平集方法的几何主动轮廓演化过程如下:As shown in Figure 3, the geometric active contour evolution process of the level set method in the present invention is as follows:
(1)图像输入机预处理;(1) Image input machine preprocessing;
(2)建立能量模型;(2) Establish an energy model;
(3)变化得到Euler-lagrange方程;(3) change to get the Euler-lagrange equation;
(4)采用水平集方法进行曲线演化PDE;(4) Using the level set method to carry out the curve evolution PDE;
(5)初始水平集函数设定;(5) Initial level set function setting;
(6)迭代(PDE数值算法);(6) Iteration (PDE numerical algorithm);
(7)判断是否满足停止演化条件;(7) Judging whether the condition for stopping evolution is satisfied;
(8)满足停止演化条件的话就输出水平集函数,得到分割轮廓,不满足的话,重复步骤(6)。(8) If the stop evolution condition is met, output the level set function to obtain the segmentation contour; if not, repeat step (6).
本发明中,LARFS分割方法的输入参数仅包括种子点F和生长因子θ,数值流程如下:In the present invention, the input parameters of the LARFS segmentation method only include the seed point F and the growth factor θ, and the numerical process is as follows:
1)初始化内存空间1) Initialize the memory space
(a)在计算机内存中开辟10块堆栈空间,分别标记为活动层L1和状态层S1,(i∈[-2,2]),其中Li空间对应的点集轮廓值为U∈[i-0.5,i+0.5],L0表示轮廓演化边界,若空间标号为负且值越小,则意味着图层越在分割图像内部,反之则意味着越在分割图像外。(a) Open up 10 stack spaces in the computer memory, which are marked as active layer L 1 and state layer S 1 , (i∈[-2, 2]), where the point set contour value corresponding to Li space is U∈[ i-0.5, i+0.5], L 0 represents the contour evolution boundary, if the space label is negative and the value is smaller, it means that the layer is more inside the segmented image, otherwise it means that the layer is more outside the segmented image.
2)几何适应过程2) Geometry adaptation process
(a)将三维空间中种子点及其相邻的26个体素作为初始区域D0,根据图2中的公式(3-24)和(3-25)计算区域体素均值MEAN0和方差VARIANCE0;(a) The seed point and its adjacent 26 voxels in the three-dimensional space are used as the initial region D 0 , and the regional voxel mean MEAN 0 and variance VARIANCE are calculated according to the formulas (3-24) and (3-25) in Figure 2 0 ;
(b)根据底N-1次迭代的区域均值MEANN-1和方差VARIANCEN-1,根据图2中公式(3-26)计算底N次迭代的置信区间ΩN;(b) According to the regional mean MEAN N-1 and variance VARIANCE N-1 of the bottom N-1 iterations, calculate the confidence interval Ω N of the bottom N iterations according to the formula (3-26) in Figure 2;
(c)基于ΩN和DN-1更新区域DN,其包含的体素与DN-1连通且在置信区间ΩN内;(c) Update the region D N based on Ω N and D N-1 , the voxels it contains are connected to D N-1 and within the confidence interval Ω N ;
(d)根据图2中公式(3-24)和(3-25)更新区域DN的均值MEANN和方差VARIANCEN;(d) update the mean value MEAN N and the variance VARIANCE N of area D N according to formula (3-24) and (3-25) among Fig. 2;
(e)重复过程(b)-(d),直至区域不再扩大,或迭代次数达到预先设定值。(e) Repeat the process (b)-(d) until the region no longer expands, or the number of iterations reaches a preset value.
3)图像生长及轮廓演化过程3) Image growth and contour evolution process
(a)将集合自适应区域结果DN包含的点集置于L0空间中;(a) place the point set contained in the set adaptive region result DN in the L 0 space;
(b)对L0空间内的每个体素点x,根据图4中公式(3-49),计算对应的改变量Δuλ;(b) For each voxel point x in L 0 space, calculate the corresponding change amount Δu λ according to the formula (3-49) in Fig. 4;
(c)更新活动集内每个点的uλ值,如果新值则将x按以下规则放到响应状态层S1中;若uλ+Δuλ>0.5,则放入S1层;若uλ+Δuλ<-0.5,则放入S1层;(c) Update the u λ value of each point in the active set, if the new value Then put x into the response state layer S 1 according to the following rules; if u λ +Δu λ >0.5, then put it into the S 1 layer; if u λ +Δu λ <-0.5, then put it into the S 1 layer;
(d)按照i=±1,±2的顺序依次访问L1层中的每个体素点,根据下一层L1±1中的体素值更新对应的μ值(+1或-1);(d) Visit each voxel point in layer L 1 sequentially in the order of i=±1,±2, and update the corresponding μ value (+1 or -1) according to the voxel value in the next layer L 1±1 ;
(e)对状态层S±1.S±2中的每个点作如下处理:(e) Each point in the state layer S ±1. S ±2 is processed as follows:
i.对于S1中的每个体素点x,将其从原有层L1±1中删除,并放入L1中,当i=±3时,将它从所有层中删除;i. For each voxel point x in S 1 , delete it from the original layer L 1±1 , and put it into L 1 , when i=±3, delete it from all layers;
ii.将其中与L1±1毗邻的点放入S1±1层中。ii. Put the points adjacent to L 1±1 into the S 1±1 layer.
(f)重复过程(b)-(e),直至达到预先设定的迭代次数、时间或输出体积。(f) Repeat processes (b)-(e) until a preset number of iterations, time or output volume is reached.
4)结果输出4) Result output
(a)输出u≤0的三维空间点集,既可以组成最后的分割图像;(a) Output a set of three-dimensional space points with u≤0, which can form the final segmented image;
(b)使用表面重构方法将输出结果构成三维模型,融入场景显示。(b) Use the surface reconstruction method to form the output result into a 3D model and integrate it into the scene display.
本发明所述的一种基于鲁棒特征统计的三维区域自适应分割方法,将传统的区域增长算法与统计学方法结合应用,充分利用图像的区域信息,表示局部分割特征并驱动轮廓演化,采用LARFS方法,能够有效防止噪声干扰,减少使用者的干预操作,得到较好的分割效果。A three-dimensional area self-adaptive segmentation method based on robust feature statistics described in the present invention combines traditional area growth algorithms with statistical methods, fully utilizes image area information, represents local segmentation features and drives contour evolution, and adopts The LARFS method can effectively prevent noise interference, reduce user intervention, and obtain better segmentation results.
以上所述仅是本发明的较佳实施方式,故凡依本发明专利申请范围所述的构造、特征及原理所做的等效变化或修饰,均包括于本发明专利申请范围内。The above is only a preferred embodiment of the present invention, so all equivalent changes or modifications made according to the structure, features and principles described in the scope of the patent application of the present invention are included in the scope of the patent application of the present invention.
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