CN116012399A - Point cloud plane identification and edge detection method - Google Patents
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Abstract
本发明公开了一种点云平面识别和边缘检测方法。所述方法主要包括一种新的识别复杂背景中平面的多种子同步生长算法及考虑混合点云的圆形边缘提取算法。相比于传统的区域生长算法,本发明提出的多种子同步生长算法在初始点选择方面鲁棒性更好,计算效率比传统的区域生长算法效率提高近5倍。针对点云处理算法中人工选取参数多的问题,本发明通过点云厚度推导了提出算法的熵值阈值,减少了人工选取对计算结果的影响。
The invention discloses a point cloud plane recognition and edge detection method. The method mainly includes a new multi-seed synchronous growth algorithm for identifying planes in complex backgrounds and a circular edge extraction algorithm considering mixed point clouds. Compared with the traditional region growing algorithm, the multi-seed synchronous growing algorithm proposed by the present invention has better robustness in initial point selection, and the calculation efficiency is nearly 5 times higher than that of the traditional region growing algorithm. Aiming at the problem of manual selection of many parameters in the point cloud processing algorithm, the present invention deduces the entropy threshold of the proposed algorithm through the thickness of the point cloud, reducing the influence of manual selection on the calculation results.
Description
技术领域technical field
本发明属于结构健康监测及测量领域,更具体地说,涉及一种点云平面识别和考虑混合点云的边缘检测方法。The invention belongs to the field of structural health monitoring and measurement, and more specifically relates to a point cloud plane recognition and an edge detection method considering mixed point clouds.
背景技术Background technique
在混凝土浇筑前进行预埋件质量评估是常见的施工操作。若预埋构件定位或者尺寸发生偏差会造成后期设备安装出现问题,因此依据图纸进行所有预埋构件的定位和尺寸验收是十分必要的。目前,预埋构件的质量评估主要依靠人工检测。基于人工检测的方法费时费工,检测效果不够准确。因此,有必要提供能够准确、高效地对预埋构件进行质量评估的解决方案。It is a common construction operation to evaluate the quality of embedded parts before concrete pouring. If the positioning or size of the embedded components deviates, it will cause problems in the later equipment installation. Therefore, it is very necessary to carry out the positioning and size acceptance of all embedded components according to the drawings. At present, the quality assessment of pre-embedded components mainly relies on manual inspection. The method based on manual detection is time-consuming and labor-intensive, and the detection effect is not accurate enough. Therefore, it is necessary to provide solutions that can accurately and efficiently evaluate the quality of pre-embedded components.
激光扫描技术作为一种非接触式测量方法,该方法测量精度高,测量效率高,目前,激光扫描技术逐渐应用于工程质量检测、三维模型重建、结构健康监测及施工精度跟踪中。基于三维激光扫描技术可以更快、更准确获取结构的空间坐标、颜色信息等视觉信息,从而有效监测结构服役信息,对人类互动和照明条件的严重依赖减少。基于传统的区域生长算法容易出现过分割现象和单种子生长效率低,且需要人工干预的参数过多,比如邻域点数,曲率阈值,法向量夹角阈值等。在计算几何信息中也由于不考虑混合像素造成部分边缘信息确实的问题。As a non-contact measurement method, laser scanning technology has high measurement accuracy and high measurement efficiency. At present, laser scanning technology is gradually used in engineering quality inspection, 3D model reconstruction, structural health monitoring and construction accuracy tracking. Based on 3D laser scanning technology, visual information such as spatial coordinates and color information of the structure can be obtained faster and more accurately, so as to effectively monitor the service information of the structure, and reduce the heavy dependence on human interaction and lighting conditions. Based on the traditional region growing algorithm, it is prone to over-segmentation and low single-seed growth efficiency, and there are too many parameters that require manual intervention, such as the number of neighborhood points, curvature threshold, normal vector angle threshold, etc. In the calculation of geometric information, the problem of partial edge information is also caused by not considering the mixed pixels.
发明内容Contents of the invention
基于传统的区域生长算法存在的过分割、人工参数多等问题,本发明提出了一种新的点云平面和计算几何信息方法。本发明所提出的多种子联合生长算法(SimultaneousGrowth of Multi-seeds,SGM)具有多平面同时生长的优势,可以同时检测多个目标平面,大幅提高平面检测效率。在计算目标边缘时,提出了一种考虑混合点云的圆形目标边缘检测算法,相比传统算法更精确。本发明所提出的计算几何信息方法可以较为高效、高精度识别结构几何尺寸等信息,是一种经济、高效的结构尺寸测量方法,有广泛应用于实际桥梁性能评估的前景。Based on the problems of over-segmentation and many artificial parameters in the traditional region growing algorithm, the present invention proposes a new point cloud plane and calculation geometric information method. The multi-seed joint growth algorithm (Simultaneous Growth of Multi-seeds, SGM) proposed by the present invention has the advantage of multi-plane growth at the same time, can detect multiple target planes at the same time, and greatly improves the plane detection efficiency. When calculating the object edge, a circular object edge detection algorithm considering the mixed point cloud is proposed, which is more accurate than the traditional algorithm. The calculation geometric information method proposed by the present invention can identify information such as structural geometric dimensions with high efficiency and high precision, is an economical and efficient structural dimension measurement method, and has the prospect of being widely used in actual bridge performance evaluation.
本发明为解决上述技术问题采用以下技术方案:The present invention adopts the following technical solutions for solving the problems of the technologies described above:
本发明提供一种点云平面识别和考虑混合点云的边缘检测方法,所述方法包括如下步骤:The invention provides a point cloud plane recognition and an edge detection method considering a mixed point cloud, the method comprising the following steps:
S1、站立式激光扫描仪获取核电施工现场的浇筑前墙面预埋板的点云信息,然后实时传输到电脑进行数据处理;S1. The standing laser scanner obtains the point cloud information of the embedded slab on the wall before pouring at the nuclear power construction site, and then transmits it to the computer in real time for data processing;
S2、通过多种子同步生长(SGM)算法多次迭代得到目标平面;S2, obtaining the target plane through multiple iterations of the multi-seed synchronous growth (SGM) algorithm;
S3、计算目标几何信息的框架获取目标板的所有信息,包括中心、边长/半径以及偏转;S3. The framework for calculating the geometric information of the target obtains all the information of the target board, including center, side length/radius and deflection;
S4、将施工坐标系和三维扫描坐标系注册到同一坐标系,计算所有几何信息的偏差,为实际工程施工验收提供参考。S4. Register the construction coordinate system and the three-dimensional scanning coordinate system to the same coordinate system, calculate the deviation of all geometric information, and provide reference for actual engineering construction acceptance.
作为本发明的进一步技术方案,S1中的站立式激光扫描仪型号为奥地利RIEGLVZ-400i远程三维激光扫描仪。As a further technical solution of the present invention, the model of the standing laser scanner in S1 is an Austrian RIEGLVZ-400i remote three-dimensional laser scanner.
基于站立式扫描仪采集施工现场墙面预埋板点云数据,将采集的数据下采样到20%,下采样采用高通图滤波方法,所述下采样方法具有速度快、采样率不低的优点;Based on the standing scanner to collect the point cloud data of the pre-embedded panels on the wall of the construction site, the collected data is down-sampled to 20%, and the down-sampling adopts the high-pass image filtering method. The down-sampling method has the advantages of fast speed and high sampling rate ;
提出M估计随机抽样一致性(M-estimator SAmple Consensus,简称MSAC)新策略选取初始点。其基本思想为基本思想是采用迭代加权最小二乘估计回归系数,根据回归残差的大小确定各点的权值,从而达到稳健的目的。假设现有点云集合为{P},首先在点云P中选一个点pi∈P,利用K近邻算法找到pi点周围的K个点,并进行平面拟合。由于RANSAC方法容易受参数影响、最小二乘法难以有效消除异常点影响,本发明引入M估计算法解决上述问题。鲁棒M估计通过自适应地样本分配不同的权值,消除离群点对模型参数估计结果的影响。A new strategy of M-estimator SAmple Consensus (MSAC) is proposed to select the initial point. The basic idea is to use iterative weighted least squares to estimate the regression coefficient, and determine the weight of each point according to the size of the regression residual, so as to achieve the purpose of robustness. Assuming that the existing point cloud collection is {P}, first select a point p i ∈ P in the point cloud P, use the K nearest neighbor algorithm to find K points around point p i , and perform plane fitting. Since the RANSAC method is easily affected by parameters and the least square method is difficult to effectively eliminate the influence of abnormal points, the present invention introduces an M estimation algorithm to solve the above problems. Robust M estimation eliminates the influence of outliers on model parameter estimation results by adaptively assigning different weights to samples.
通过迭代生长策略实现点云精确分割。首先计算所有初始点周围的K个点,然后利用初始点周围K个点对应的法向量与的法向量计算熵值和K个点与的夹角筛选Ineligible并删除,完成第一次迭代,重复上述过程直到迭代后删除掉Ineligible角后新增的点数为0,完成增长。Accurate segmentation of point clouds is achieved through an iterative growing strategy. First calculate all the K points around the initial point, then use the normal vector corresponding to the K points around the initial point and the normal vector to calculate the entropy value and the angle between the K points and the Ineligible to filter and delete, complete the first iteration, repeat The above process until the Ineligible angle is deleted after the iteration, the newly added points are 0, and the growth is completed.
优选的,所述多种子同步生长(SGM)算法和传统的点云区域生长算法进行对比,具有如下特点:在参数方面,本发明提出的算法仅需要设定所有点的近邻点数量K即可,而区域生长算法除了需要计算K外,还需要法向量间夹角阈值和曲率阈值,并且这两个阈值的选取很依赖经验。在算法鲁棒性方面,本发明所提出的算法具有较强的鲁棒性,而区域生长算法参数选取不当存在过分割。Preferably, the multi-seed synchronous growth (SGM) algorithm is compared with the traditional point cloud region growing algorithm, and has the following characteristics: in terms of parameters, the algorithm proposed by the present invention only needs to set the number of neighbor points K of all points. , while the region growing algorithm not only needs to calculate K, but also needs angle threshold and curvature threshold between normal vectors, and the selection of these two thresholds depends on experience. In terms of algorithm robustness, the algorithm proposed by the present invention has strong robustness, but there is over-segmentation if the parameters of the region growing algorithm are improperly selected.
S2中多种子同步生长的平面识别方法,具体为:The plane identification method of multi-seed synchronous growth in S2, specifically:
S21、基于站立式扫描仪采集施工现场墙面预埋板点云数据,将采集的数据下采样到20%;S21. Based on the standing scanner, collect the point cloud data of the pre-embedded board on the wall of the construction site, and down-sample the collected data to 20%;
S22、找出所有点周围的K个点,利用MSAC将K个点分为内点和外点,然后恢复下采样,将所有点对应的内点数为0的点作为多种子同步生长算法的初始点,至此完成初始点的选取;S22. Find K points around all points, use MSAC to divide K points into inner points and outer points, and then resume downsampling, and use the points whose inner points corresponding to all points are 0 as the initial stage of multi-seed synchronous growth algorithm point, so far the selection of the initial point is completed;
S23、计算所有初始点周围的K个点,然后利用初始点周围K个点对应的法向量与的法向量计算熵值和K个点与的夹角筛选Ineligible并删除,完成第一次迭代,重复上述过程直到迭代后删除掉Ineligible角后新增的点数为0,完成增长。S23. Calculate all K points around the initial point, and then use the normal vector corresponding to the K points around the initial point and the normal vector to calculate the entropy value and the angle between the K points and the Ineligible to filter and delete, and complete the first iteration. Repeat the above process until the number of newly added points after the Ineligible angle is deleted after iteration is 0, and the growth is completed.
利用由综合误差引起的点云厚度推导熵值和夹角,具体为:Use the point cloud thickness caused by the comprehensive error to derive the entropy value and included angle, specifically:
S31、计算点云的均值和方差,近似将点云分布为高斯分布,将6σ作为点云的厚度,将e=3σ作为pi=(xi,yi,zi)的单点精度误差;S31. Calculate the mean and variance of the point cloud, approximately distribute the point cloud into a Gaussian distribution, use 6σ as the thickness of the point cloud, and use e=3σ as the single-point precision error of p i =(xi , y i , z i ) ;
S32、假设邻近点全部在无误差的切平面上,则拟合的切平面T(X),该平面的法向量为V0。由于每个点都存在点位精度取点位误差最大值e,pi在邻近点pi∈(0,e)区间范围内,得到误差最大的切平面为T(X′),该平面的法向量为V′;在切平面中T(X),假设邻近点到邻近点中心最远的点为Pi′,则误差最大的切平面T(X′)与无误差的切平面T(X)之间的夹角为θ;计算误差最大的切平面与无误差的切平面之间的夹角 S32. Assuming that all the adjacent points are on the tangent plane without error, then the fitted tangent plane T(X), the normal vector of this plane is V 0 . Since each point has a point accuracy, take the maximum point error e, p i is within the range of the adjacent point p i ∈ (0, e), and the tangent plane with the largest error is T(X′). The normal vector is V'; in the tangent plane T(X), assuming that the farthest point from the adjacent point to the center of the adjacent point is P i ', then the tangent plane T(X') with the largest error and the tangent plane T(X') without error are The angle between X) is θ; the angle between the tangent plane with the largest calculation error and the tangent plane without error
S33、设邻近点pi=(xi,yi,zi)的定位精度e,计算该领域下的局部熵 其中 S33. Set the positioning accuracy e of the adjacent point p i = (xi , y i , zi ) , and calculate the local entropy in this field in
S34、如果该信息熵满足:HC(θk)=log(K),则该邻近区域为平面;受扫描精度的影响,如果HC(θk)≠log(K),则可将2倍误差作为其极限值,并将局部熵log(m′)作为初始基准,如果点pi的局部熵相对于log(m′)满足则删除点,反之则保留pi,再将最接近局部熵log(m′)的Hpi作为基准。S34. If the information entropy satisfies: H C (θ k )=log(K), then the adjacent area is a plane; affected by the scanning accuracy, if H C (θ k )≠log(K), then 2 double error As its limit value, and the local entropy log(m′) as the initial reference, if the local entropy of point p i With respect to log(m′) satisfies Then delete the point, otherwise, keep p i , and then take H pi closest to the local entropy log(m′) as the benchmark.
S3中基于计算目标几何信息框架获取目标板的所有信息,具体为:In S3, all information of the target board is obtained based on the calculation target geometric information framework, specifically:
S41、基于高斯混合模型对所有目标平面点云进行聚类;S41. Clustering all target plane point clouds based on the Gaussian mixture model;
S42、利用考虑混合点的边缘检测方法,分别获取直线和圆形目标的边缘,计算所有目标的几何信息;S42. Using an edge detection method considering mixed points, respectively acquire the edges of straight lines and circular objects, and calculate geometric information of all objects;
S43、最后将三维扫描坐标系注册到施工坐标系,对比施工信息与设计信息的差值。S43. Finally, register the three-dimensional scanning coordinate system to the construction coordinate system, and compare the difference between the construction information and the design information.
S42中通过邻近点分布直接确定表面上边界点的简化方法,具体为:In S42, the simplified method of directly determining the boundary points on the surface through the distribution of adjacent points is specifically:
S421、考虑到pc的表面大多是平坦的,可以首先使用PCA算法进行降维;S421. Considering that the surface of the pc is mostly flat, the PCA algorithm may be first used for dimensionality reduction;
S422、将输入数据中每个检测点的相邻点分成8个区域,具有至少一个空白区域的点被定义为边界点;S422. Divide the adjacent points of each detection point in the input data into 8 areas, and the points with at least one blank area are defined as boundary points;
S423、将每个中心点周围利用四条直线分为八块区域,将至少有两个区域内没有NP的中心点作为边界点;S423. Using four straight lines around each center point to divide it into eight areas, and using at least two center points without NP in the area as boundary points;
S424、在S412和S413中获得内边界点的基础上,选择并增加PC数据中靠近圆孔的点,基于提取的圆心和半径的迭代修正方法来估计圆孔的尺寸。S424. On the basis of the inner boundary points obtained in S412 and S413, select and increase the points close to the circular hole in the PC data, and estimate the size of the circular hole based on an iterative correction method of the extracted circle center and radius.
S43中通过ICP算法将扫描坐标系转换到施工坐标系,具体为:In S43, the scanning coordinate system is converted to the construction coordinate system through the ICP algorithm, specifically:
S431、计算设计值的中心坐标和识别的中心坐标可以得到所有目标板的三维位置信息偏差;S431. Calculate the center coordinates of the design value and the identified center coordinates to obtain the three-dimensional position information deviations of all target boards;
S432、计算所有识别目标板的朝x轴正方向的法向量;S432. Calculate the normal vectors of all identification target boards facing the positive direction of the x-axis;
S433、将法向量投影到yoz平面,计算投影向量与垂直于xoy平面的向量夹角。S433. Project the normal vector onto the yoz plane, and calculate an angle between the projected vector and a vector perpendicular to the xoy plane.
根据本发明的另一方面,提供了一种计算机可读存储介质,其上存储有计算机程序,该程序被处理器执行时实现本发明的点云平面识别和考虑混合点云的边缘检测方法中的步骤。According to another aspect of the present invention, a computer-readable storage medium is provided, on which a computer program is stored, and when the program is executed by a processor, the point cloud plane recognition and the edge detection method considering the mixed point cloud of the present invention are realized A step of.
根据本发明的又一方面,提供了一种计算机设备,包括存储器、处理器及存储在存储器上并可在处理器上运行的计算机程序,所述处理器执行所述程序时实现本发明的点云平面识别和考虑混合点云的边缘检测方法中的步骤。According to yet another aspect of the present invention, a computer device is provided, including a memory, a processor, and a computer program stored on the memory and operable on the processor, and the point of the present invention is realized when the processor executes the program Cloud plane identification and steps in an edge detection method that considers mixed point clouds.
相比于现有技术,本发明至少具有如下有益效果:Compared with the prior art, the present invention has at least the following beneficial effects:
(1)与传统的的区域生长算法相比,本发明提出的多种子联合生长算法在初始点选择方面鲁棒性更好,并且所有的初始点可以同时进行迭代,计算效率提高近5倍,有效避免出现过分割和单种子生长效率低等问题;(1) Compared with the traditional region growing algorithm, the multi-seed joint growth algorithm proposed by the present invention is more robust in initial point selection, and all initial points can be iterated at the same time, and the calculation efficiency is increased by nearly 5 times, Effectively avoid problems such as over-segmentation and low single-seed growth efficiency;
(2)通过点云厚度推导了提出算法的熵值阈值,有效减少了人工选取参数对计算结果的影响;(2) The entropy threshold of the proposed algorithm is deduced through the point cloud thickness, which effectively reduces the influence of manual selection of parameters on the calculation results;
(3)本发明提的了考虑混合点云的圆形边缘提取算法,测量结果更接近理论值,精度更高,有广泛实际工程结构监测的应用前景。(3) The present invention proposes a circular edge extraction algorithm that considers mixed point clouds, the measurement results are closer to the theoretical value, the accuracy is higher, and it has a wide range of application prospects for actual engineering structure monitoring.
附图说明Description of drawings
为了更清楚地说明本发明实施例的技术方案,下面将对实施例的附图作简单地介绍,显而易见地,下面描述中的附图仅仅涉及本发明的一些实施例,而非对本发明的限制。In order to illustrate the technical solutions of the embodiments of the present invention more clearly, the accompanying drawings of the embodiments will be briefly introduced below. Obviously, the accompanying drawings in the following description only relate to some embodiments of the present invention, rather than limiting the present invention .
图1是本发明的方法流程图;Fig. 1 is method flowchart of the present invention;
图2是本发明的多种子联合生长算法迭代过程原理图;Fig. 2 is the iterative process schematic diagram of multi-seed joint growth algorithm of the present invention;
图3是本发明的考虑混合点云边界分离原理;Fig. 3 is that the present invention considers the boundary separation principle of mixed point cloud;
图4是本发明的边界点判断原则图:图4(a)为中心点;图4(b)为混合点;图4(c)为边界点;Fig. 4 is the boundary point judgment principle figure of the present invention: Fig. 4 (a) is center point; Fig. 4 (b) is mixing point; Fig. 4 (c) is boundary point;
图5是本发明实施例中的几何信息测量误差结果图Fig. 5 is a result diagram of geometric information measurement error in the embodiment of the present invention
具体实施方式Detailed ways
如图1-5所示:As shown in Figure 1-5:
实施例1:Example 1:
本发明提供一种基于联合生长算法点云平面识别和边缘检测方法,如图1所示,The present invention provides a point cloud plane recognition and edge detection method based on the joint growth algorithm, as shown in Figure 1,
步骤1,站立式激光扫描仪获取核电施工现场的浇筑前墙面预埋板的点云信息,然后实时传输到电脑进行数据处理;
需要进一步说明的是,步骤1中的站立式激光扫描仪型号为奥地利RIEGL VZ-400i远程三维激光扫描仪。It should be further explained that the model of the standing laser scanner in
步骤2,基于本发明提出的多种子同步生长算法多次迭代得到目标平面;
如图1所示,本发明所提出的多种子同步生长算法主要包括:As shown in Figure 1, the multi-seed synchronous growth algorithm proposed by the present invention mainly includes:
1)基于站立式扫描仪采集施工现场墙面预埋板点云数据,将采集的数据下采样到20%,下采样采用高通图滤波方法,该下采样方法具有速度快、采样率不低的优点;1) Based on the standing scanner to collect the point cloud data of the pre-embedded panels on the wall of the construction site, the collected data is down-sampled to 20%, and the down-sampling adopts the high-pass image filtering method. This down-sampling method has the advantages of fast speed and high sampling rate advantage;
2)提出M估计随机抽样一致性(M-estimator SAmple Consensus,简称MSAC)新策略选取初始点。其基本思想为基本思想是采用迭代加权最小二乘估计回归系数,根据回归残差的大小确定各点的权值,从而达到鲁棒的目的。假设现有点云集合为{P},首先在点云P中选一个点pi∈P,利用K近邻算法找到pi点周围的K个点,并进行平面拟合。由于RANSAC方法容易受参数影响、最小二乘法难以有效消除异常点影响,本发明引入M估计算法解决上述问题。鲁棒M估计通过自适应地样本分配不同的权值,消除离群点对模型参数估计结果的影响。2) A new strategy of M-estimator SAmple Consensus (MSAC for short) is proposed to select the initial point. The basic idea is to use iterative weighted least squares to estimate the regression coefficient, and determine the weight of each point according to the size of the regression residual, so as to achieve the purpose of robustness. Assuming that the existing point cloud collection is {P}, first select a point p i ∈ P in the point cloud P, use the K nearest neighbor algorithm to find K points around point p i , and perform plane fitting. Since the RANSAC method is easily affected by parameters and the least square method is difficult to effectively eliminate the influence of abnormal points, the present invention introduces an M estimation algorithm to solve the above problems. Robust M estimation eliminates the influence of outliers on model parameter estimation results by adaptively assigning different weights to samples.
M估计一般定义为:The M estimate is generally defined as:
式中,n是平面内总点数,ρ是目标函数,也是损失函数的残差;是残差项;是残差的稳健尺度估计,依赖于未知回归系数β。where n is the total number of points in the plane, ρ is the objective function and the residual of the loss function; is the residual item; is a robust scaling estimate of the residuals, depending on the unknown regression coefficient β.
拟合得到的平面方程为:The fitted plane equation is:
ax+by+cz+d=0(2)ax+by+cz+d=0(2)
MSAC会对参数选取的影响做一个补偿,并且可以将K个分为内点和Opi。在计算所有点的拟合平面时,外点为0对应的点作为初始点集合{I},其余点集合为{N},即MSAC will make a compensation for the influence of parameter selection, and can divide K into interior points and O pi . When calculating the fitting plane of all points, the point corresponding to the outer point is 0 as the initial point set {I}, and the rest of the point set is {N}, that is
其中,pi的法向量为 Among them, the normal vector of p i is
3)通过迭代生长策略实现点云精确分割。首先计算所有初始点周围的K个点,然后利用初始点周围K个点对应的法向量与的法向量计算熵值和K个点与的夹角筛选Ineligible并删除,完成第一次迭代,重复上述过程直到迭代后删除掉Ineligible角后新增的点数为0,完成增长。迭代过程如图2所示:3) Accurate segmentation of point clouds is achieved through an iterative growing strategy. First calculate all the K points around the initial point, then use the normal vector corresponding to the K points around the initial point and the normal vector to calculate the entropy value and the angle between the K points and the Ineligible to filter and delete, complete the first iteration, repeat The above process until the Ineligible angle is deleted after the iteration, the newly added points are 0, and the growth is completed. The iterative process is shown in Figure 2:
首先计算得到所有的初始种子点Ii=(xi,yi,zi)和其对应的法向量然后将所有种子点加入目标集合{T}并选取所有Ii点周围且不在T集合内的M个Bm,m∈{1,2,…,M}点,最后利用MSAC计算所有Bm点的法向量 First calculate all the initial seed points I i = (xi , y i , z i ) and their corresponding normal vectors Then add all seed points to the target set {T} and select M B m ,m∈{1,2,...,M} points around all I i points and not in the T set, and finally use MSAC to calculate all B m points normal vector of
通过P点周围K个点的平面法向量作为P点法向量。在计算法向量时,假设内点I个数为k,外点O的个数为K-k,则考虑由内点组成的几何计算P点的法向量为真实值,通过内点计算P的法向量后,用同样的方法计算所有内点的法向量,然后计算P与周围k个内点所有的法向量与标准平面的夹角The plane normal vector passing through the K points around point P is used as the normal vector of point P. When calculating the normal vector, assuming that the number of interior points I is k and the number of exterior points O is K-k, then the normal vector of point P is considered to be the real value of the geometric calculation composed of interior points, and the normal vector of P is calculated through the interior points Finally, use the same method to calculate the normal vectors of all interior points, and then calculate the angle between P and all the normal vectors of the surrounding k interior points and the standard plane
其中:in:
在上述3)通过迭代生长策略实现点云精确分割过程中,本发明利用由综合误差引起的点云厚度推导熵值和夹角,减少人为选取参数对计算结果的影响。具体为:In the above 3) in the process of realizing accurate point cloud segmentation through iterative growth strategy, the present invention uses point cloud thickness caused by comprehensive error to derive entropy value and included angle, and reduces the influence of artificially selected parameters on calculation results. Specifically:
1)计算点云的均值和方差,近似将点云分布为高斯分布,将6σ作为点云的厚度,将e=3σ作为pi=(xi,yi,zi)的单点精度误差。1) Calculate the mean and variance of the point cloud, approximately distribute the point cloud as a Gaussian distribution, use 6σ as the thickness of the point cloud, and use e=3σ as the single-point precision error of p i =(xi , y i ,zi ) .
2)假设邻近点全部在无误差的切平面上,则拟合的切平面T(X),该平面的法向量为V0。由于每个点都存在点位精度取点位误差最大值e,pi在邻近点pi∈(0,e)区间范围内,得到误差最大的切平面为T(X′),该平面的法向量为V′。在切平面中T(X),假设邻近点到邻近点中心最远的点为Pi′,则误差最大的切平面T(X′)与无误差的切平面T(X)之间的夹角为θ。计算误差最大的切平面与无误差的切平面之间的夹角 2) Assuming that all the adjacent points are on the tangent plane without error, then the fitted tangent plane T(X), the normal vector of this plane is V 0 . Since each point has a point accuracy, take the maximum point error e, p i is within the range of the adjacent point p i ∈ (0, e), and the tangent plane with the largest error is T(X′). The normal vector is V'. In the tangent plane T(X), assuming that the farthest point from the adjacent point to the center of the adjacent point is P i ′, then the gap between the tangent plane T(X′) with the largest error and the tangent plane T(X) without error The angle is θ. Calculate the angle between the tangent plane with the largest error and the tangent plane without error
3)假设邻近点pi=(xi,yi,zi)的定位精度e,计算该领域下的局部熵 3) Assuming the positioning accuracy e of the neighboring point p i = (xi , y , zi ) , calculate the local entropy in this field
其中 in
4)如果该信息熵满足:HC(θk)=log(K),则该邻近区域为平面。受扫描精度的影响,如果HC(θk)≠log(K),则可将2倍误差作为其极限值,并将局部熵log(m′)作为初始基准,如果点pi的局部熵相对于log(m′)满足则删除点,反之则保留pi,再将最接近局部熵log(m′)的Hpi作为基准。4) If the information entropy satisfies: H C (θ k )=log(K), then the adjacent area is a plane. Affected by the scanning accuracy, if H C (θ k )≠log(K), the error can be doubled As its limit value, and the local entropy log(m′) as the initial reference, if the local entropy of point p i With respect to log(m′) satisfies Then delete the point, otherwise, keep p i , and then take H pi closest to the local entropy log(m′) as the benchmark.
优选的,所述多种子同步生长(SGM)算法和传统的点云区域生长算法进行对比,具有如下特点:在参数方面,本发明提出的算法仅需要设定所有点的近邻点数量K即可,而区域生长算法除了需要计算K外,还需要法向量间夹角阈值和曲率阈值,并且这两个阈值的选取很依赖经验。在算法鲁棒性方面,本发明所提出的算法具有较强的鲁棒性,而区域生长算法参数选取不当存在过分割。Preferably, the multi-seed synchronous growth (SGM) algorithm is compared with the traditional point cloud region growing algorithm, and has the following characteristics: in terms of parameters, the algorithm proposed by the present invention only needs to set the number of neighbor points K of all points. , while the region growing algorithm not only needs to calculate K, but also needs angle threshold and curvature threshold between normal vectors, and the selection of these two thresholds depends on experience. In terms of algorithm robustness, the algorithm proposed by the present invention has strong robustness, but there is over-segmentation if the parameters of the region growing algorithm are improperly selected.
步骤3,基于本发明提出的计算目标几何信息的框架获取目标板的所有信息,包括中心、边长(半径)、偏转。Step 3: Obtain all information of the target board based on the framework for calculating target geometric information proposed by the present invention, including center, side length (radius), and deflection.
1)基于高斯混合模型对所有目标平面点云进行聚类。每个高斯混合模型由Ⅳ个高斯分布构成,每个高斯分布被称为一个簇,这些高斯分布组合在一起构成了高斯混合模型的概率密度函数:1) Cluster all object plane point clouds based on a Gaussian mixture model. Each Gaussian mixture model is composed of four Gaussian distributions, and each Gaussian distribution is called a cluster. These Gaussian distributions are combined to form the probability density function of the Gaussian mixture model:
式中,N是模型的个数;πn表示权重系数,含义是每类簇被选中的概率,且N(x|μn,Σn)是高斯分布密度表示第n类标准差的平方。In the formula, N is the number of models; π n represents the weight coefficient, which means the probability of each type of cluster being selected, and N(x|μ n ,Σ n ) is the Gaussian distribution density Indicates the square of the standard deviation of the nth class.
第n个分模型可以表示为:The nth sub-model can be expressed as:
假设有K个采集样本数据,可认为这些数据点由某一个高斯分布生成,则GMM的似然函数可以表示为:Assuming that there are K sample data collected, it can be considered that these data points are generated by a certain Gaussian distribution, then the likelihood function of GMM can be expressed as:
由于无法直接求解得到最大值,因此使用EM算法通过迭代求出结果。Since the maximum value cannot be obtained directly, the EM algorithm is used to obtain the result iteratively.
2)利用考虑混合点云的圆形边缘提取算法,分别获取直线和圆形目标的边缘,计算所有目标的边长(半径),中心、转角等几何信息。通过邻近点分布直接确定表面上边界点的简化方法,具体为:2) Use the circular edge extraction algorithm considering the mixed point cloud to obtain the edges of straight lines and circular objects respectively, and calculate the geometric information such as the side length (radius), center, and corner of all objects. A simplified method to directly determine the boundary points on the surface through the distribution of neighboring points, specifically:
A)考虑到pc的表面大多是平坦的,可以首先使用PCA算法进行降维。A) Considering that the surface of pc is mostly flat, PCA algorithm can be used for dimensionality reduction first.
B)如图3所示,利用考虑混合点云的边界提取算法将原点云模型分成两部分,通过外圈带有混合点云的边界可以更精确描述真是边缘。B) As shown in Figure 3, the original point cloud model is divided into two parts by using the boundary extraction algorithm considering the mixed point cloud, and the real edge can be more accurately described by the boundary with the mixed point cloud in the outer circle.
B)如图4所示,将输入数据中每个检测点的相邻点分成8个区域,具有至少一个空白区域的点被定义为边界点。B) As shown in Figure 4, the adjacent points of each detection point in the input data are divided into 8 regions, and the points with at least one blank region are defined as boundary points.
C)将每个中心点周围利用四条直线分为八块区域,将至少有两个区域内没有点云的中心点作为边界点。C) Use four straight lines around each center point to divide into eight areas, and use at least two center points without point clouds in the area as boundary points.
D)在上述获得内边界点的基础上,选择并增加PC数据中靠近圆孔的点,基于提取的圆心和半径的迭代修正方法来估计圆孔的尺寸。D) On the basis of obtaining the inner boundary points above, select and increase the points close to the circular hole in the PC data, and estimate the size of the circular hole based on the iterative correction method of the extracted circle center and radius.
步骤4,将施工坐标系和三维扫描坐标系注册到同一坐标系,计算所有几何信息的偏差,为实际工程施工验收提供参考。
需要进一步说明的是,该方法主要是采用ICP算法将扫描坐标系转换到施工坐标系,具体为:It needs to be further explained that this method mainly uses the ICP algorithm to convert the scanning coordinate system to the construction coordinate system, specifically:
A)计算设计值的中心坐标和识别的中心坐标可以得到所有目标板的三维位置信息偏差;A) Calculate the central coordinates of the design value and the identified central coordinates to obtain the three-dimensional position information deviation of all target boards;
B)计算所有识别目标板的朝x轴正方向的法向量,因转角的偏差一般不超过15°,所以只需计算两个法向量的夹角的锐角即可。B) Calculate the normal vectors of all recognition target boards facing the positive direction of the x-axis. Because the deviation of the rotation angle generally does not exceed 15°, it is only necessary to calculate the acute angle of the included angle between the two normal vectors.
C)将法向量投影到yoz平面,计算投影向量与垂直于xoy平面的向量夹角,只需考虑锐角即可。C) Project the normal vector onto the yoz plane, calculate the angle between the projection vector and the vector perpendicular to the xoy plane, only need to consider the acute angle.
实施例Example
以施工阶段某墙体为例阐述本发明的具体实施流程,使用立式扫描仪对目标墙体进行扫描,建立三维模型,进一步验证本发明提出的多种子同步生长算法及几何信息计算框架的可行性。Taking a certain wall in the construction stage as an example to illustrate the specific implementation process of the present invention, use a vertical scanner to scan the target wall, build a three-dimensional model, and further verify the feasibility of the multi-seed synchronous growth algorithm and geometric information calculation framework proposed by the present invention sex.
步骤1,站立式激光扫描仪获取核电施工现场的浇筑前墙面预埋板的点云信息,然后实时传输到电脑进行数据处理;
步骤2,基于本发明提出的多种子同步生长(SGM)算法多次迭代得到目标平面。目标区域仅需要4次迭代就覆盖整个平面,图中共有11个目标全部被识别出来。In
步骤3,基于本发明提出的计算目标几何信息的框架获取目标板的所有信息,包括中心、边长(半径),偏转。首先利用高斯混合模型将所有目标区域进行分类,得到所有的目标后利用MSAC进行平面拟合。对于圆形目标,若扫描没有产生混合点,则直接利用圆形区域最外层点云进行MSAC圆拟合得到圆心和半径;若扫描产生了混合点,则先利用MSAC算计算圆形的拟合平面,会把所有点分成内点和外点,内点被用作平面拟合,外点可以理解为噪声,即混合点云。将所有由MSAC算法产生的外点投影到该平面,排除掉投影落在圆形区域内的点,然后计算所有投影点的最内层点,利用MSAC圆拟合得到圆心和半径。对于方形目标同理,不再赘述。考虑混合点云和不考虑混合点云与设计值的误差如图4所示。从图5中可以看出,在本发明算法和不考虑混合点的算法对比中发现,本发明提出的算法计算精度更高。Step 3: Obtain all information of the target board based on the framework for calculating target geometric information proposed by the present invention, including center, side length (radius), and deflection. Firstly, the Gaussian mixture model is used to classify all target areas, and after all the targets are obtained, MSAC is used for plane fitting. For a circular target, if the scan does not produce a mixed point, then directly use the outermost point cloud of the circular area to perform MSAC circle fitting to obtain the center and radius of the circle; if the scan produces a mixed point, first use MSAC to calculate the approximate circle Fitting the plane will divide all points into inner points and outer points. The inner points are used for plane fitting, and the outer points can be understood as noise, that is, mixed point clouds. Project all the outer points generated by the MSAC algorithm to the plane, exclude the points that the projection falls in the circular area, and then calculate the innermost point of all projected points, and use MSAC circle fitting to get the center and radius of the circle. The same is true for the square target, which will not be repeated here. The error between the mixed point cloud and the design value without considering the mixed point cloud is shown in Fig. 4. It can be seen from FIG. 5 that the algorithm proposed by the present invention has higher calculation accuracy in comparison with the algorithm not considering the mixing point.
步骤4,将施工坐标系和三维扫描坐标系注册到同一坐标系,计算所有几何信息的偏差,为实际工程施工验收提供参考。
实施例2:Example 2:
本实施例的计算机可读存储介质,其上存储有计算机程序,该程序被处理器执行时实现实施例1的点云平面识别和边缘检测方法中的步骤。The computer-readable storage medium of this embodiment stores a computer program thereon, and when the program is executed by a processor, the steps in the point cloud plane recognition and edge detection method of
本实施例的计算机可读存储介质可以是终端的内部存储单元,例如终端的硬盘或内存;本实施例的计算机可读存储介质也可以是所述终端的外部存储设备,例如终端上配备的插接式硬盘,智能存储卡,安全数字卡,闪存卡等;进一步地,计算机可读存储介质还可以既包括终端的内部存储单元也包括外部存储设备。The computer-readable storage medium in this embodiment may be an internal storage unit of the terminal, such as a hard disk or memory of the terminal; the computer-readable storage medium in this embodiment may also be an external storage device of the terminal, such as a plug-in Connectable hard disk, smart memory card, secure digital card, flash memory card, etc.; further, the computer-readable storage medium may also include both an internal storage unit of the terminal and an external storage device.
本实施例的计算机可读存储介质用于存储计算机程序以及终端所需的其他程序和数据,计算机可读存储介质还可以用于暂时地存储已经输出或者将要输出的数据。The computer-readable storage medium in this embodiment is used to store computer programs and other programs and data required by the terminal, and the computer-readable storage medium can also be used to temporarily store outputted or to-be-outputted data.
实施例3:Example 3:
本实施例的计算机设备,包括存储器、处理器及存储在存储器上并可在处理器上运行的计算机程序,所述处理器执行所述程序时实现实施例1的点云平面识别和边缘检测方法中的步骤。The computer equipment of this embodiment includes a memory, a processor, and a computer program stored on the memory and operable on the processor. When the processor executes the program, it realizes the point cloud plane recognition and edge detection method of
本实施例中,处理器可以是中央处理单元,还可以是其他通用处理器、数字信号处理器、专用集成电路、现成可编程门阵列或者其他可编程逻辑器件、分立门或者晶体管逻辑器件、分立硬件组件等,通用处理器可以是微处理器或者该处理器也可以是任何常规的处理器等;存储器可以包括只读存储器和随机存取存储器,并向处理器提供指令和数据,存储器的一部分还可以包括非易失性随机存取存储器,例如,存储器还可以存储设备类型的信息。In this embodiment, the processor may be a central processing unit, or other general-purpose processors, digital signal processors, application-specific integrated circuits, off-the-shelf programmable gate arrays or other programmable logic devices, discrete gate or transistor logic devices, discrete Hardware components, etc., the general-purpose processor can be a microprocessor or the processor can also be any conventional processor, etc.; the memory can include read-only memory and random access memory, and provide instructions and data to the processor, part of the memory Non-volatile random access memory may also be included, for example, memory may also store device type information.
本领域内的技术人员应明白,实施例公开的内容可提供为方法、系统、或计算机程序产品。因此,本方案可采用硬件实施例、软件实施例、或结合软件和硬件方面的实施例的形式。而且,本方案可采用在一个或多个其中包含有计算机可用程序代码的计算机可用存储介质(包括但不限于磁盘存储器和光学存储器等)上实施的计算机程序产品的形式。Those skilled in the art should understand that the content disclosed in the embodiments may be provided as methods, systems, or computer program products. Accordingly, the present solution can take the form of a hardware embodiment, a software embodiment, or an embodiment combining software and hardware aspects. Furthermore, the present aspect may take the form of a computer program product embodied on one or more computer-usable storage media (including but not limited to disk storage and optical storage, etc.) having computer-usable program code embodied therein.
本方案是参照根据本方案实施例的方法、和计算机程序产品的流程图和/或方框图来描述的,应理解可由计算机程序指令实现流程图和/或方框图中的每一流程和/或方框、以及流程图和/或方框图中的流程和/或方框的结合;可提供这些计算机程序指令到通用计算机、专用计算机、嵌入式处理机或其他可编程数据处理设备的处理器以产生一个机器,使得通过计算机或其他可编程数据处理设备的处理器执行的指令产生用于实现在流程图一个流程或多个流程和/或方框图一个方框或多个方框中指定的功能的装置。The solution is described with reference to the method according to the embodiment of the solution, and the flowchart and/or block diagram of the computer program product, it should be understood that each process and/or block in the flowchart and/or block diagram can be realized by computer program instructions , and flow charts and/or combinations of processes and/or blocks in block diagrams; these computer program instructions can be provided to processors of general purpose computers, special purpose computers, embedded processors or other programmable data processing devices to produce a machine , causing instructions executed by a processor of a computer or other programmable data processing equipment to generate means for realizing the functions specified in one or more procedures of the flow chart and/or one or more blocks of the block diagram.
这些计算机程序指令也可存储在能引导计算机或其他可编程数据处理设备以特定方式工作的计算机可读存储器中,使得存储在该计算机可读存储器中的指令产生包括指令装置的制造品,该指令装置实现在流程图一个流程或多个流程和/或方框图一个方框或多个方框中指定的功能。These computer program instructions may also be stored in a computer-readable memory capable of directing a computer or other programmable data processing apparatus to operate in a specific manner, such that the instructions stored in the computer-readable memory produce an article of manufacture comprising instruction means, the instructions The device realizes the function specified in one or more procedures of the flowchart and/or one or more blocks of the block diagram.
这些计算机程序指令也可装载到计算机或其他可编程数据处理设备上,使得在计算机或其他可编程设备上执行一系列操作步骤以产生计算机实现的处理,从而在计算机或其他可编程设备上执行的指令提供用于实现在流程图一个流程或多个流程和/或方框图一个方框或多个方框中指定的功能的步骤。These computer program instructions can also be loaded onto a computer or other programmable data processing device, causing a series of operational steps to be performed on the computer or other programmable device to produce a computer-implemented process, thereby The instructions provide steps for implementing the functions specified in the flow chart or blocks of the flowchart and/or the block or blocks of the block diagrams.
本领域普通技术人员可以理解实现上述实施例方法中的全部或部分流程,是可以通过计算机程序来指令相关的硬件来完成,所述的程序可存储于一计算机可读取存储介质中,该程序在执行时,可包括如上述各方法的实施例的流程。其中,所述的存储介质可为磁碟、光盘、只读存储记忆体(Read-OnlyMemory,ROM)或随机存储记忆体(RandomAccessMemory,RAM)等。Those of ordinary skill in the art can understand that all or part of the processes in the methods of the above embodiments can be implemented through computer programs to instruct related hardware, and the programs can be stored in a computer-readable storage medium. During execution, it may include the processes of the embodiments of the above-mentioned methods. Wherein, the storage medium may be a magnetic disk, an optical disk, a read-only memory (Read-Only Memory, ROM) or a random access memory (Random Access Memory, RAM) and the like.
本发明所述实例仅仅是对本发明的优选实施方式进行描述,并非对本发明构思和范围进行限定,在不脱离本发明设计思想的前提下,本领域工程技术人员对本发明的技术方案作出的各种变形和改进,均应落入本发明的保护范围。The examples described in the present invention are only to describe the preferred implementation of the present invention, and are not intended to limit the concept and scope of the present invention. Variations and improvements should fall within the protection scope of the present invention.
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CN116740060A (en) * | 2023-08-11 | 2023-09-12 | 安徽大学绿色产业创新研究院 | Method for detecting size of prefabricated part based on point cloud geometric feature extraction |
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CN116740060A (en) * | 2023-08-11 | 2023-09-12 | 安徽大学绿色产业创新研究院 | Method for detecting size of prefabricated part based on point cloud geometric feature extraction |
CN116740060B (en) * | 2023-08-11 | 2023-10-20 | 安徽大学绿色产业创新研究院 | Dimensional detection method of prefabricated components based on point cloud geometric feature extraction |
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CN118196110A (en) * | 2024-05-20 | 2024-06-14 | 法奥意威(苏州)机器人系统有限公司 | Point cloud data plane detection method and device, storage medium and electronic equipment |
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