WO2020211605A1 - Grid map fusion method based on maximum common subgraph - Google Patents

Grid map fusion method based on maximum common subgraph Download PDF

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WO2020211605A1
WO2020211605A1 PCT/CN2020/080995 CN2020080995W WO2020211605A1 WO 2020211605 A1 WO2020211605 A1 WO 2020211605A1 CN 2020080995 W CN2020080995 W CN 2020080995W WO 2020211605 A1 WO2020211605 A1 WO 2020211605A1
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map
grid
grid map
initial
scheme
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孙荣川
仇昌成
郁树梅
陈国栋
林睿
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苏州大学
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    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F18/00Pattern recognition
    • G06F18/20Analysing
    • G06F18/23Clustering techniques
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F18/00Pattern recognition
    • G06F18/20Analysing
    • G06F18/25Fusion techniques
    • G06F18/253Fusion techniques of extracted features

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  • the invention belongs to the field of mobile robot mapping, especially single-robot graph-SLAM and multi-robot SLAM, and specifically relates to a grid map fusion method based on the largest common subgraph.
  • SLAM Simultaneous localization and mapping
  • the method based on graph optimization is currently used more SLAM algorithm, the method is divided into front-end and back-end.
  • the front end constructs a pose map based on the sensor data, and the back end uses an optimization method to calculate the global optimal pose based on the pose map information.
  • This method makes full use of the sparsity of the SLAM problem, that is, the feature that the data observed by the robot at different times is limited, and improves the computational efficiency of the algorithm.
  • the front end includes sequential data association and loop closure detection.
  • the sequential data association compares the observation information of the robot at adjacent moments.
  • the loop closure detection compares the observation information of the robot at different times to determine the edge in the pose map. information.
  • the front end needs to match the sub-maps created by the robot at different times to calculate constraint information.
  • multi-robot SLAM has become one of the focuses of research in the field of mobile robots.
  • multiple robots can work in parallel to improve work efficiency; multiple robots can carry different sensors to provide richer observation information. Through the fusion of these observation information, more accurate maps can be obtained; multiple robots When building a map of the environment, when one or several robots fail, the remaining robots can continue to collaborate to complete the establishment of the environment model.
  • Map fusion is one of the research focuses of multi-robot SLAM.
  • the global map can be obtained by fusing the local environment map created by each robot.
  • the purpose of the present invention is to provide a grid map fusion method based on the largest common sub-map, which is used to solve the problem of the front-end construction of the graph-optimized SLAM and the multi-robot SLAM map fusion.
  • the technical solution of the present invention is: a grid map fusion method based on the largest common sub-map, including the following steps:
  • Step 1 Use the ORB algorithm to extract the features of the grid maps G 1 and G 2 to be fused;
  • Step 2 Cluster the features in step 1, and calculate the cluster center;
  • Step 3 Use the Hamming distance to calculate the initial matching of the cluster centers, and the initial matching of the cluster centers is represented by a matrix
  • Step 4 Use the backtracking method to search for three sets of initial matches that meet the constraint requirements
  • Step 5 Calculate the largest common subgraph according to the location association
  • Step 6 Determine whether there is an initial match that has not been accessed by the backtracking method, if yes, go back to step 4, otherwise go to step 7;
  • Step 7 Select the optimal largest common subgraph scheme
  • Step 8 Calculate the transformation matrix according to the optimal scheme, and combine the raster map fusion strategy to achieve map fusion.
  • the present invention uses the ORB algorithm to extract the features of the raster map to be fused, and uses these features to characterize the raster map.
  • the grid map to be fused in step 1 is obtained by modeling the environment by one robot at different times or by modeling the environment by multiple robots. There are overlapping areas between.
  • the grid map to be fused in the step 1 is an environment description obtained by processing the internal and external sensor data of the robot by the SLAM algorithm.
  • the clustering center in step 2 compares the distances of the feature points, clusters those whose distance is less than the threshold value into one category, and uses the geometric center of this category of feature points as the clustering center.
  • the descriptors of all feature points in a class are described together.
  • step 3 Hamming clustering is used to calculate the feature point descriptors, and the distance less than the set threshold is considered to meet the initial matching requirements, and then the cluster center is calculated according to the initial matching of the feature points. Initial match.
  • the constraint condition of the backtracking search in the step 4 is:
  • the proposed method assumes that the matching of cluster centers is one-to-one, so each row in the initial matching can only have one set of matches in M 0 ; Indicates that the i-th cluster center in G 1 and the i′-th cluster center in G 2 meet the initial matching requirements; with Respectively represent the coordinates of the cluster centers on their respective grid maps; ⁇ 0 is the error threshold; when there is only one set of matches in M 0 , the constraint conditions are met by default.
  • step 5 the specific steps of the location association algorithm in step 5 are:
  • Step 51 When the backtracking method searches for three sets of initial matches that meet the constraint requirements, calculate the initial transformation matrix according to the matching of the three sets of cluster centers;
  • Step 52 According to the initial transformation matrix , transform the cluster center in the raster map G 2 to be fused to the coordinate system of the raster map G 1 ;
  • Step 53 Compare the distance between the cluster center in G 2 and the cluster center in G 1 after transformation, and use the match whose distance is less than a certain threshold and meet the initial matching requirements as the largest common subgraph scheme of the current initial transformation matrix .
  • Step 71 Take the one with the largest number of matching cluster centers in the largest common subgraph scheme as a candidate for the optimal scheme
  • Step 72 If there is only one scheme with the largest common subgraph matching the largest number of cluster centers, then this scheme is the optimal scheme
  • Step 73 If there is more than one scheme of the largest common subgraph with the largest number of matching cluster centers, then the optimal scheme is the one with the largest polygonal area formed by the matching cluster centers.
  • the grid map fusion strategy in step 8 is specifically:
  • the present invention can be used for the fusion of multiple grid maps.
  • the present invention uses ORB features to characterize the raster map to be fused; according to the ORB’s description characteristics of feature points, the Hamming distance is used to calculate the initial matching; the backtracking method is used to search for three sets of initial matches that meet the constraint requirements, and the largest Common submap; finally choose the optimal maximum common submap scheme, and calculate the optimal transformation matrix to achieve accurate fusion of raster maps.
  • Fig. 1 is a flowchart of a method according to the first embodiment of the present invention.
  • Fig. 2 is a grid map to be merged according to the first embodiment of the present invention.
  • FIG. 3 shows the ORB feature points of the grid map to be fused according to Embodiment 1 of the present invention.
  • FIG. 4 is the cluster center of the grid map to be merged according to the first embodiment of the present invention.
  • Figure 5 shows the map fusion result processed by the method of the present invention.
  • the present invention provides a grid map fusion method based on the largest common submap, which includes the following steps:
  • Step 1 Use the ORB algorithm to extract the features of the grid maps G 1 and G 2 to be fused;
  • the grid map is the description of the environment map obtained by processing the robot sensor information through the SLAM algorithm; the grid map to be fused is created by one robot at different times or multiple robots at the same time; the grid map to be fused has overlapping areas, See Figure 2.
  • the ‘*’ in the figure represents the features extracted from the raster map to be fused using the ORB algorithm. It can be seen from the figure that the feature points are distributed at the corner points of the grid map, which also meets the requirements of the proposed algorithm. However, it can also be seen from the figure that too many ORB features are distributed at the same corner point, which will cause repeated calculation of the algorithm and affect the calculation efficiency of the algorithm.
  • Step 2 Cluster the features in step 1, and calculate the cluster center;
  • the "*" in the figure represents the cluster center.
  • the ORB feature points with similar distances are clustered into one category, and the geometric center of the feature points of this category is used to represent the cluster center. It can be seen from the figure that the cluster centers are distributed at the corners of the raster map, and there are fewer cluster centers at the same corner, which reduces the calculation amount of the following algorithm.
  • Step 3 Use the Hamming distance to calculate the initial matching of the cluster centers, and the initial matching of the cluster centers is represented by a matrix
  • the Hamming distance is used to calculate the initial matching of the feature points
  • the initial matching of the cluster centers is calculated according to the correspondence between the feature points and the cluster centers.
  • Step 4 Use the backtracking method to search for three sets of initial matches that meet the constraint requirements
  • the proposed method assumes that the matching of cluster centers is one-to-one, so each row in the initial matching can only have one set of matches in M 0 at most.
  • ⁇ 0 is the error threshold.
  • Step 5 Calculate the largest common subgraph according to the location association
  • the backtracking method three sets of initial matches that meet the constraints are searched. Based on these three sets of matches, the initial transformation matrix can be calculated, and the cluster centers in the raster map G 2 to be fused are transformed to the coordinate system of the raster map G 1 , The distance between the cluster center in G 2 and the cluster center in G 1 after the transformation is compared, and the cluster center whose distance is less than the threshold and meets the initial matching is taken as the largest common subgraph scheme of the current initial transformation.
  • Step 6 Determine whether there is an initial match that has not been visited by the backtracking method. If yes, return to step 4, otherwise go to step 7.
  • Step 7 Select the optimal largest common subgraph scheme
  • the one with the largest number of matching cluster centers and the largest polygon area formed by the matching cluster centers is taken as the optimal largest common subgraph scheme.
  • Step 8 Calculate the transformation matrix according to the optimal scheme, and combine the grid map fusion strategy to achieve map fusion;
  • the grid map fusion strategy in step 8 is specifically:
  • FIG. 5 it is the result of grid map fusion according to the method of the present invention. From the results, it can be seen that the method of the present invention can realize the accurate fusion of grid maps.
  • the present invention can be used for the fusion of multiple grid maps.

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Abstract

Disclosed is a grid map fusion method based on a maximum common subgraph. The method comprises the following steps: S1, creating a grid map of an environment; S2, extracting a Harris angular point of a grid map to be fused; S3, extracting three angular points from each grid map to be fused; S4, determining whether three pairs of input angular points can form a triangle isomorphism scheme, and if not, returning to S3, and if so, performing S5; S5, iteratively constructing a polygon isomorphism scheme; S6, determining whether there is an angular point which is not substituted into the triangle isomorphism scheme, in the grid map to be fused, and if so, returning to S3, and if not, performing S7; S7, selecting an optimal polygon isomorphism scheme and a corresponding optimal transformation matrix; and S8, realizing grid map fusion according to the optimal transformation matrix and a fusion rule. The present invention can reliably realize grid map fusion and has the advantage of high fusion accuracy.

Description

一种基于最大公共子图的栅格地图融合方法A raster map fusion method based on the largest common submap 技术领域Technical field
本发明属于移动机器人建图领域,特别是单机器人的graph-SLAM以及多机器人SLAM,具体涉及一种基于最大公共子图的栅格地图融合方法。The invention belongs to the field of mobile robot mapping, especially single-robot graph-SLAM and multi-robot SLAM, and specifically relates to a grid map fusion method based on the largest common subgraph.
背景技术Background technique
当移动机器人在未知环境中工作且不能通过外部设备提供位姿以及环境信息时,此时就需要机器人根据自身携带的传感器对周围环境进行观测,并且根据观测的信息以及机器人运动信息确定周围环境和自身位姿。同时定位与地图创建(s imul taneous localization andmapping,SLAM)就是该项技术,拥有该项技术的机器人可以完成导航、路径规划、探索等更加复杂的工作。因此SLAM是移动机器人真正实现自主化和智能化的关键。When a mobile robot is working in an unknown environment and cannot provide pose and environmental information through external devices, it is necessary for the robot to observe the surrounding environment according to its own sensors, and determine the surrounding environment and the environment based on the observed information and robot movement information. Self pose. Simultaneous positioning and map creation (simul taneous localization and mapping, SLAM) is this technology. Robots with this technology can complete more complex tasks such as navigation, path planning, and exploration. Therefore, SLAM is the key to realizing autonomy and intelligence of mobile robots.
基于图优化的方法是当前使用较多的SLAM算法,该方法分为前端和后端。前端根据传感器数据构建位姿图,后端根据位姿图信息使用优化方法计算全局最优的位姿。该方法充分利用SLAM问题的稀疏性,即机器人在不同时刻观测到的数据是有限的这一特点,提高算法的计算效率。前端包括顺序数据关联和环路闭合检测,顺序数据关联是将相邻时刻机器人的观测信息进行比较,环路闭合检测是对不同时刻,机器人的观测信息进行比较,来确定位姿图中边的信息。当使用栅格地图对环境进行描述时,前端需要匹配不同时刻机器人创建的子地图来计算约束信息。The method based on graph optimization is currently used more SLAM algorithm, the method is divided into front-end and back-end. The front end constructs a pose map based on the sensor data, and the back end uses an optimization method to calculate the global optimal pose based on the pose map information. This method makes full use of the sparsity of the SLAM problem, that is, the feature that the data observed by the robot at different times is limited, and improves the computational efficiency of the algorithm. The front end includes sequential data association and loop closure detection. The sequential data association compares the observation information of the robot at adjacent moments. The loop closure detection compares the observation information of the robot at different times to determine the edge in the pose map. information. When using a grid map to describe the environment, the front end needs to match the sub-maps created by the robot at different times to calculate constraint information.
随着近几十年单机器人SLAM在理论和实际应用上取得的突破,多机器人SLAM成为了移动机器人领域研究的重点之一。相比于单机器人,多个机器人可以并行工作,提高工作效率;多个机器人可以携带不同的传感器,提供更加丰富的观测信息,通过对这些观测信息的融合,可以得到更加精确的地图;多机器人对环境进行建图时,当其中一个或者几个机器人出现故障时,可以通过其余机器人继续协作完成环境模型的建立。地图融合是多机器人SLAM的研究重点之一,将每个机器人创建的局部环境地图进行融合,可以得到全局地图。With the breakthroughs in theory and practical application of single-robot SLAM in recent decades, multi-robot SLAM has become one of the focuses of research in the field of mobile robots. Compared with a single robot, multiple robots can work in parallel to improve work efficiency; multiple robots can carry different sensors to provide richer observation information. Through the fusion of these observation information, more accurate maps can be obtained; multiple robots When building a map of the environment, when one or several robots fail, the remaining robots can continue to collaborate to complete the establishment of the environment model. Map fusion is one of the research focuses of multi-robot SLAM. The global map can be obtained by fusing the local environment map created by each robot.
因此,研究栅格地图融合的问题,对于单机器人和多机器人SLAM都有着重要的意义。Therefore, studying the problem of grid map fusion is of great significance for single-robot and multi-robot SLAM.
发明内容Summary of the invention
本发明目的是提供一种基于最大公共子图的栅格地图融合方法,用来解决基于图优化SLAM的前端构建和多机器人SLAM地图融合的问题。The purpose of the present invention is to provide a grid map fusion method based on the largest common sub-map, which is used to solve the problem of the front-end construction of the graph-optimized SLAM and the multi-robot SLAM map fusion.
本发明的技术方案是:一种基于最大公共子图的栅格地图融合方法,包括如下步骤:The technical solution of the present invention is: a grid map fusion method based on the largest common sub-map, including the following steps:
步骤1、使用ORB算法提取待融合栅格地图G 1和G 2的特征; Step 1. Use the ORB algorithm to extract the features of the grid maps G 1 and G 2 to be fused;
步骤2、对步骤一中的特征进行聚类,计算聚类中心;Step 2. Cluster the features in step 1, and calculate the cluster center;
步骤3、使用汉明距离计算聚类中心的初始匹配,所述聚类中心的初始匹配由矩阵表示;Step 3. Use the Hamming distance to calculate the initial matching of the cluster centers, and the initial matching of the cluster centers is represented by a matrix;
步骤4、使用回溯法搜索满足约束要求的三组初始匹配;Step 4. Use the backtracking method to search for three sets of initial matches that meet the constraint requirements;
步骤5、根据位置关联计算最大公共子图;Step 5. Calculate the largest common subgraph according to the location association;
步骤6、判断是否还有未被回溯法访问过的初始匹配,如果是,则返回步骤四,否则进入步骤七;Step 6. Determine whether there is an initial match that has not been accessed by the backtracking method, if yes, go back to step 4, otherwise go to step 7;
步骤7、选择最优最大公共子图方案;Step 7. Select the optimal largest common subgraph scheme;
步骤8、根据最优方案计算变换矩阵,并结合栅格地图融合策略实现地图的融合。Step 8. Calculate the transformation matrix according to the optimal scheme, and combine the raster map fusion strategy to achieve map fusion.
上文中,本发明使用ORB算法提取待融合栅格地图的特征,用这些特征来表征栅格地图。In the above, the present invention uses the ORB algorithm to extract the features of the raster map to be fused, and uses these features to characterize the raster map.
上述技术方案中,所述步骤1中的待融合栅格地图是由一个机器人在不同时间对环境进行建模或者由多个机器人对环境进行建模得到的,各所述待融合栅格地图之间存在重叠区域。In the above technical solution, the grid map to be fused in step 1 is obtained by modeling the environment by one robot at different times or by modeling the environment by multiple robots. There are overlapping areas between.
上述技术方案中,所述步骤1中的待融合栅格地图是由SLAM算法处理机器人内部和外部传感器数据进而得到的环境描述。In the above technical solution, the grid map to be fused in the step 1 is an environment description obtained by processing the internal and external sensor data of the robot by the SLAM algorithm.
上述技术方案中,所述步骤2的聚类中心通过比较特征点的距离,将距离小于阈值的聚为一类,并且以这一类特征点的几何中心作为聚类中心,聚类中心由这一类中所有特征点的描述子共同描述。In the above technical solution, the clustering center in step 2 compares the distances of the feature points, clusters those whose distance is less than the threshold value into one category, and uses the geometric center of this category of feature points as the clustering center. The descriptors of all feature points in a class are described together.
上述技术方案中,所述步骤3中使用汉明聚类对特征点描述子进行计算,并且将距离小于设定阈值的认为满足初始匹配要求,再根据特征点的初始匹配计算出聚类中心的初始匹配。In the above technical solution, in the step 3, Hamming clustering is used to calculate the feature point descriptors, and the distance less than the set threshold is considered to meet the initial matching requirements, and then the cluster center is calculated according to the initial matching of the feature points. Initial match.
上述技术方案中,所述步骤4中回溯法搜索的约束条件为:In the above technical solution, the constraint condition of the backtracking search in the step 4 is:
Figure PCTCN2020080995-appb-000001
Figure PCTCN2020080995-appb-000001
其中,M 0={m 1,…,m n}表示使用回溯法对聚类中心的初始匹配的每一行进行访问,初始匹配第k行表G 1中第k个聚类中心和G 2中的哪些聚类中心满足初始匹配。所提方法假设聚类中心的匹配是一一对应的,因此初始匹配中的每一行最多只能有一组匹配在M 0中;
Figure PCTCN2020080995-appb-000002
表示G 1中第i个聚类中心和G 2中第i′个聚类中心满足初始匹配要求;
Figure PCTCN2020080995-appb-000003
Figure PCTCN2020080995-appb-000004
分别表示聚类中心在各自栅格地图上的坐标;∈ 0为误差阈值;当M 0中只有一组匹配时,默认满足约束条件。
Among them, M 0 ={m 1 ,..., m n } means to use the backtracking method to visit each row of the initial matching of cluster centers, and the initial matching of the kth row of table G 1 and the kth cluster center in G 2 Which of the cluster centers meet the initial matching. The proposed method assumes that the matching of cluster centers is one-to-one, so each row in the initial matching can only have one set of matches in M 0 ;
Figure PCTCN2020080995-appb-000002
Indicates that the i-th cluster center in G 1 and the i′-th cluster center in G 2 meet the initial matching requirements;
Figure PCTCN2020080995-appb-000003
with
Figure PCTCN2020080995-appb-000004
Respectively represent the coordinates of the cluster centers on their respective grid maps; ∈ 0 is the error threshold; when there is only one set of matches in M 0 , the constraint conditions are met by default.
上述技术方案中,所述步骤5中的位置关联算法的具体步骤为:In the above technical solution, the specific steps of the location association algorithm in step 5 are:
步骤51、当回溯法搜索到三组满足约束要求的初始匹配时,根据这三组聚类中心的匹配计算初始变换矩阵;Step 51: When the backtracking method searches for three sets of initial matches that meet the constraint requirements, calculate the initial transformation matrix according to the matching of the three sets of cluster centers;
步骤52、根据初始变换矩阵 将待融合栅格地图G 2中的聚类中心变换到栅格地图G 1的坐标系下; Step 52: According to the initial transformation matrix , transform the cluster center in the raster map G 2 to be fused to the coordinate system of the raster map G 1 ;
步骤53 比较变换之后的G 2中的聚类中心与G 1中的聚类中心之间的距离,将距离小于一定阈值且满足初始匹配要求的匹配作为当前初始变换矩阵的最大公共子图方案。 Step 53 : Compare the distance between the cluster center in G 2 and the cluster center in G 1 after transformation, and use the match whose distance is less than a certain threshold and meet the initial matching requirements as the largest common subgraph scheme of the current initial transformation matrix .
上述技术方案中,所述步骤七中选择最优方案的具体步骤为:In the above technical solution, the specific steps for selecting the optimal solution in step 7 are:
步骤71、将最大公共子图方案中匹配聚类中心数目最多的作为最优方案的候选;Step 71: Take the one with the largest number of matching cluster centers in the largest common subgraph scheme as a candidate for the optimal scheme;
步骤72、如果匹配聚类中心数目最多的最大公共子图方案只有一个,则该方案就 是最优方案;Step 72: If there is only one scheme with the largest common subgraph matching the largest number of cluster centers, then this scheme is the optimal scheme;
步骤73、如果匹配聚类中心数目最多的最大公共子图方案不止一个,则将匹配聚类中心构成多边形面积最大的作为最优方案。Step 73: If there is more than one scheme of the largest common subgraph with the largest number of matching cluster centers, then the optimal scheme is the one with the largest polygonal area formed by the matching cluster centers.
上述技术方案中,所述步骤8中的栅格地图融合策略具体为:In the above technical solution, the grid map fusion strategy in step 8 is specifically:
Figure PCTCN2020080995-appb-000005
Figure PCTCN2020080995-appb-000005
Figure PCTCN2020080995-appb-000006
Figure PCTCN2020080995-appb-000006
Figure PCTCN2020080995-appb-000007
Figure PCTCN2020080995-appb-000007
其中,
Figure PCTCN2020080995-appb-000008
表示根据变换矩阵将栅格地图G 2的栅格坐标变换到栅格地图G 1的坐标系下;I(·)表示相应栅格坐标对应的灰度值;G 12表示融合后栅格坐标对应的灰度值。
among them,
Figure PCTCN2020080995-appb-000008
Shows a transformation matrix transforming the grid map G 2 grid coordinates to the coordinate system of a grid map of G; I (·) represents the grayscale value corresponding to the coordinates corresponding to the raster; G 12 is represented by the corresponding grid coordinates fusion The gray value.
上述技术方案中,本发明可用于多个栅格地图的融合。In the above technical solutions, the present invention can be used for the fusion of multiple grid maps.
本发明的优点是:The advantages of the present invention are:
本发明使用ORB特征来表征待融合栅格地图;根据ORB对特征点的描述特性,使用汉明距离计算初始匹配;使用回溯法搜索满足约束要求的三组初始匹配,并基于位置关联方法计算最大公共子图;最后选择最优最大公共子图方案,并且计算最优变换的矩阵,以实现栅格地图的精确融合。The present invention uses ORB features to characterize the raster map to be fused; according to the ORB’s description characteristics of feature points, the Hamming distance is used to calculate the initial matching; the backtracking method is used to search for three sets of initial matches that meet the constraint requirements, and the largest Common submap; finally choose the optimal maximum common submap scheme, and calculate the optimal transformation matrix to achieve accurate fusion of raster maps.
附图说明Description of the drawings
下面结合附图及实施例对本发明作进一步描述:The present invention will be further described below in conjunction with the drawings and embodiments:
图1为本发明实施例一的方法流程图。Fig. 1 is a flowchart of a method according to the first embodiment of the present invention.
图2为本发明实施例一的待融合栅格地图。Fig. 2 is a grid map to be merged according to the first embodiment of the present invention.
图3为本发明实施例一的待融合栅格地图ORB特征点。FIG. 3 shows the ORB feature points of the grid map to be fused according to Embodiment 1 of the present invention.
图4为本发明实施例一的待融合栅格地图聚类中心。FIG. 4 is the cluster center of the grid map to be merged according to the first embodiment of the present invention.
图5为经本发明的方法处理的地图融合结果。Figure 5 shows the map fusion result processed by the method of the present invention.
具体实施方式detailed description
实施例一:Example one:
参见图1所示,本发明提供一种基于最大公共子图的栅格地图融合方法,包括如下步骤:As shown in Fig. 1, the present invention provides a grid map fusion method based on the largest common submap, which includes the following steps:
步骤1、使用ORB算法提取待融合栅格地图G 1和G 2的特征; Step 1. Use the ORB algorithm to extract the features of the grid maps G 1 and G 2 to be fused;
其中,栅格地图是通过SLAM算法处理机器人传感器信息得到的环境地图描述;待融合栅格地图是由一个机器人在不同时间创建或者多个机器人在同一时间创建;待融合栅格地图存在重叠区域,参见图2所示。Among them, the grid map is the description of the environment map obtained by processing the robot sensor information through the SLAM algorithm; the grid map to be fused is created by one robot at different times or multiple robots at the same time; the grid map to be fused has overlapping areas, See Figure 2.
如图3所示,图中‘*’表示使用ORB算法从待融合栅格地图中提取的特征。从图中可以看出,特征点分布在栅格地图的角点处,这也符合所提算法的要求。但是从图中同样可以 看出,在同一角点处分布太多的ORB特征,这会造成算法的重复计算,影响算法的计算效率。As shown in Figure 3, the ‘*’ in the figure represents the features extracted from the raster map to be fused using the ORB algorithm. It can be seen from the figure that the feature points are distributed at the corner points of the grid map, which also meets the requirements of the proposed algorithm. However, it can also be seen from the figure that too many ORB features are distributed at the same corner point, which will cause repeated calculation of the algorithm and affect the calculation efficiency of the algorithm.
步骤2、对步骤一中的特征进行聚类,计算聚类中心;Step 2. Cluster the features in step 1, and calculate the cluster center;
如图4所示,图中‘*’表示聚类中心。将距离相近的ORB特征点聚为一类,以该类特征点的几何中心来表示聚类中心。从图中可以看出,聚类中心分布在栅格地图的角点处,且在同一角点处分布较少的聚类中心,降低了接下来算法的计算量。As shown in Figure 4, the "*" in the figure represents the cluster center. The ORB feature points with similar distances are clustered into one category, and the geometric center of the feature points of this category is used to represent the cluster center. It can be seen from the figure that the cluster centers are distributed at the corners of the raster map, and there are fewer cluster centers at the same corner, which reduces the calculation amount of the following algorithm.
步骤3、使用汉明距离计算聚类中心的初始匹配,所述聚类中心的初始匹配由矩阵表示;Step 3. Use the Hamming distance to calculate the initial matching of the cluster centers, and the initial matching of the cluster centers is represented by a matrix;
因为ORB算法对特征点使用二进制形式的描述子进行描述,因此,使用汉明距离计算特征点的初始匹配,并且根据特征点与聚类中心的对应关系,计算聚类中心的初始匹配。Because the ORB algorithm uses binary descriptors to describe the feature points, the Hamming distance is used to calculate the initial matching of the feature points, and the initial matching of the cluster centers is calculated according to the correspondence between the feature points and the cluster centers.
步骤4、使用回溯法搜索满足约束要求的三组初始匹配;Step 4. Use the backtracking method to search for three sets of initial matches that meet the constraint requirements;
其中,回溯法搜索的约束条件为:Among them, the constraints of backtracking search are:
Figure PCTCN2020080995-appb-000009
Figure PCTCN2020080995-appb-000009
其中,M 0={m 1,…,m n}表示使用回溯法对聚类中心的初始匹配的每一行进行访问,初始匹配第k行表示G 1中第k个聚类中心和G 2中的哪些聚类中心满足初始匹配。所提方法假设聚类中心的匹配是一一对应的,因此初始匹配中的每一行最多只能有一组匹配在M 0中。
Figure PCTCN2020080995-appb-000010
表示G 1中第i个聚类中心和G 2中第i′个聚类中心满足初始匹配要求,
Figure PCTCN2020080995-appb-000011
Figure PCTCN2020080995-appb-000012
分别表示聚类中心在各自栅格地图上的坐标,∈ 0为误差阈值。当M 0中只有一组匹配时,默认满足约束条件。
Among them, M 0 = {m 1 ,..., m n } means to use the backtracking method to visit each row of the initial matching of the cluster centers, and the kth row of the initial matching means the kth cluster center in G 1 and G 2 Which of the cluster centers meet the initial matching. The proposed method assumes that the matching of cluster centers is one-to-one, so each row in the initial matching can only have one set of matches in M 0 at most.
Figure PCTCN2020080995-appb-000010
Indicates that the i-th cluster center in G 1 and the i′-th cluster center in G 2 meet the initial matching requirements,
Figure PCTCN2020080995-appb-000011
with
Figure PCTCN2020080995-appb-000012
Respectively represent the coordinates of the cluster center on the respective grid map, ∈ 0 is the error threshold. When there is only one match in M 0 , the constraint condition is satisfied by default.
步骤5、根据位置关联计算最大公共子图;Step 5. Calculate the largest common subgraph according to the location association;
根据回溯法搜索到满足约束条件的三组初始匹配,根据这三组匹配可以计算初始变换矩阵,将待融合栅格地图G 2中的聚类中心变换到栅格地图G 1的坐标系下,比较变换之后G 2中的聚类中心与G 1中的聚类中心之间的距离,将距离小于阈值并且满足初始匹配的聚类中心作为当前初始变换的最大公共子图方案。 According to the backtracking method, three sets of initial matches that meet the constraints are searched. Based on these three sets of matches, the initial transformation matrix can be calculated, and the cluster centers in the raster map G 2 to be fused are transformed to the coordinate system of the raster map G 1 , The distance between the cluster center in G 2 and the cluster center in G 1 after the transformation is compared, and the cluster center whose distance is less than the threshold and meets the initial matching is taken as the largest common subgraph scheme of the current initial transformation.
步骤6、判断是否还有未被回溯法访问过的初始匹配,如果是,则返回步骤四,否则进入步骤七。Step 6. Determine whether there is an initial match that has not been visited by the backtracking method. If yes, return to step 4, otherwise go to step 7.
步骤7、选择最优最大公共子图方案;Step 7. Select the optimal largest common subgraph scheme;
当所有的最大公共子图方案都计算出来之后,将匹配聚类中心数目最多的并且匹配聚类中心构成的多边形面积最大的作为最优最大公共子图方案。When all the largest common subgraph schemes are calculated, the one with the largest number of matching cluster centers and the largest polygon area formed by the matching cluster centers is taken as the optimal largest common subgraph scheme.
步骤8、根据最优方案计算变换矩阵,并结合栅格地图融合策略实现地图的融合;Step 8. Calculate the transformation matrix according to the optimal scheme, and combine the grid map fusion strategy to achieve map fusion;
其中,所述步骤8中的栅格地图融合策略具体为:Wherein, the grid map fusion strategy in step 8 is specifically:
Figure PCTCN2020080995-appb-000013
Figure PCTCN2020080995-appb-000013
Figure PCTCN2020080995-appb-000014
Figure PCTCN2020080995-appb-000014
Figure PCTCN2020080995-appb-000015
Figure PCTCN2020080995-appb-000015
其中,
Figure PCTCN2020080995-appb-000016
表示根据变换矩阵将栅格地图G 2的栅格坐标变换到栅格地图G 1的坐标系下;I(·)表示相应栅格坐标对应的灰度值;G 12表示融合后栅格坐标对应的灰度值。
among them,
Figure PCTCN2020080995-appb-000016
Shows a transformation matrix transforming the grid map G 2 grid coordinates to the coordinate system of a grid map of G; I (·) represents the grayscale value corresponding to the coordinates corresponding to the raster; G 12 is represented by the corresponding grid coordinates fusion The gray value.
参见图5所示,为根据本发明所提方法进行栅格地图融合的结果,从结果可以看出,本发明的方法可以实现栅格地图的精确融合。Referring to FIG. 5, it is the result of grid map fusion according to the method of the present invention. From the results, it can be seen that the method of the present invention can realize the accurate fusion of grid maps.
需要说明的是,本发明可用于多个栅格地图的融合。It should be noted that the present invention can be used for the fusion of multiple grid maps.
当然上述实施例只为说明本发明的技术构思及特点,其目的在于让熟悉此项技术的人能够了解本发明的内容并据以实施,并不能以此限制本发明的保护范围。凡根据本发明主要技术方案的精神实质所做的修饰,都应涵盖在本发明的保护范围之内。Of course, the above-mentioned embodiments are only to illustrate the technical concept and characteristics of the present invention, and their purpose is to enable people familiar with the technology to understand the content of the present invention and implement them accordingly, and cannot limit the protection scope of the present invention. All modifications made according to the spirit of the main technical scheme of the present invention should be covered by the protection scope of the present invention.

Claims (10)

  1. 一种基于最大公共子图的栅格地图融合方法,其特征在于,包括如下步骤:A raster map fusion method based on the largest common submap is characterized in that it includes the following steps:
    步骤1、使用ORB算法提取待融合栅格地图G 1和G 2的特征; Step 1. Use the ORB algorithm to extract the features of the grid maps G 1 and G 2 to be fused;
    步骤2、对步骤一中的特征进行聚类,计算聚类中心;Step 2. Cluster the features in step 1, and calculate the cluster center;
    步骤3、使用汉明距离计算聚类中心的初始匹配,所述聚类中心的初始匹配由矩阵表示;Step 3. Use the Hamming distance to calculate the initial matching of the cluster centers, and the initial matching of the cluster centers is represented by a matrix;
    步骤4、使用回溯法搜索满足约束要求的三组初始匹配;Step 4. Use the backtracking method to search for three sets of initial matches that meet the constraint requirements;
    步骤5、根据位置关联计算最大公共子图;Step 5. Calculate the largest common subgraph according to the location association;
    步骤6、判断是否还有未被回溯法访问过的初始匹配,如果是,则返回步骤四,否则进入步骤七;Step 6. Determine whether there is an initial match that has not been accessed by the backtracking method, if yes, go back to step 4, otherwise go to step 7;
    步骤7、选择最优最大公共子图方案;Step 7. Select the optimal largest common subgraph scheme;
    步骤8、根据最优方案计算变换矩阵,并结合栅格地图融合策略实现地图的融合。Step 8. Calculate the transformation matrix according to the optimal scheme, and combine the raster map fusion strategy to achieve map fusion.
  2. 根据权利要求1所述的基于最大公共子图的栅格地图融合方法,其特征在于:所述步骤1中的待融合栅格地图是由一个机器人在不同时间对环境进行建模或者由多个机器人对环境进行建模得到的,各所述待融合栅格地图之间存在重叠区域。The grid map fusion method based on the largest common sub-map according to claim 1, wherein the grid map to be fused in step 1 is modeled by a robot at different times or by multiple According to the robot modeling the environment, there is an overlapping area between the grid maps to be merged.
  3. 根据权利要求1所述的基于最大公共子图的栅格地图融合方法,其特征在于:所述步骤1中的待融合栅格地图是由SLAM算法处理机器人内部和外部传感器数据进而得到的环境描述。The grid map fusion method based on the largest common sub-map according to claim 1, wherein the grid map to be fused in step 1 is an environment description obtained by processing the internal and external sensor data of the robot by the SLAM algorithm .
  4. 根据权利要求1所述的基于最大公共子图的栅格地图融合方法,其特征在于:所述步骤2的聚类中心通过比较特征点的距离,将距离小于阈值的聚为一类,并且以这一类特征点的几何中心作为聚类中心,聚类中心由这一类中所有特征点的描述子共同描述。The raster map fusion method based on the largest common sub-map according to claim 1, wherein the clustering center in step 2 compares the distances of the feature points, clusters the distances less than the threshold into one category, and The geometric center of this type of feature point is used as the cluster center, and the cluster center is described by the descriptors of all the feature points in this category.
  5. 根据权利要求4所述的基于最大公共子图的栅格地图融合方法,其特征在于:所述步骤3中使用汉明聚类对特征点描述子进行计算,并且将距离小于设定阈值的认为满足初始匹配要求,再根据特征点的初始匹配计算出聚类中心的初始匹配。The raster map fusion method based on the largest common submap according to claim 4, characterized in that: in the step 3, Hamming clustering is used to calculate the feature point descriptors, and the distance is less than the set threshold is considered Meet the initial matching requirements, and then calculate the initial matching of the cluster centers according to the initial matching of the feature points.
  6. 根据权利要求1所述的基于最大公共子图的栅格地图融合方法,其特征在于:所述步骤4中回溯法搜索的约束条件为:The raster map fusion method based on the largest common submap according to claim 1, wherein the constraint condition of the backtracking method search in the step 4 is:
    Figure PCTCN2020080995-appb-100001
    Figure PCTCN2020080995-appb-100001
    其中,M 0={M 1,…,m n}表示使用回溯法对聚类中心的初始匹配的每一行进行访问;
    Figure PCTCN2020080995-appb-100002
    表示G 1中第i个聚类中心和G 2中第i′个聚类中心满足初始匹配要求;
    Figure PCTCN2020080995-appb-100003
    Figure PCTCN2020080995-appb-100004
    分别表示聚类中心在各自栅格地图上的坐标;∈ 0为误差阈值;当M 0中只有一组匹配时,默认满足约束条件。
    Among them, M 0 ={M 1 ,..., m n } means to use the backtracking method to visit each row of the initial matching of the cluster center;
    Figure PCTCN2020080995-appb-100002
    Indicates that the i-th cluster center in G 1 and the i′-th cluster center in G 2 meet the initial matching requirements;
    Figure PCTCN2020080995-appb-100003
    with
    Figure PCTCN2020080995-appb-100004
    Respectively represent the coordinates of the cluster centers on their respective grid maps; ∈ 0 is the error threshold; when there is only one set of matches in M 0 , the constraint conditions are met by default.
  7. 根据权利要求1所述的基于最大公共子图的栅格地图融合方法,其特征在于:所述步骤5中的位置关联算法的具体步骤为:The grid map fusion method based on the largest common submap according to claim 1, wherein the specific steps of the location association algorithm in step 5 are:
    步骤51、当回溯法搜索到三组满足约束要求的初始匹配时,根据这三组聚类中心的匹配计算初始变换矩阵;Step 51: When the backtracking method searches for three sets of initial matches that meet the constraint requirements, calculate the initial transformation matrix according to the matching of the three sets of cluster centers;
    步骤52、根据初始变换矩阵,将待融合栅格地图G 2中的聚类中心变换到栅格地图G 1的坐标系下; Step 52: According to the initial transformation matrix, transform the cluster center in the raster map G 2 to be fused to the coordinate system of the raster map G 1 ;
    步骤53、比较变换之后的G 2中的聚类中心与G 1中的聚类中心之间的距离,将距离小于一定阈值且满足初始匹配要求的匹配作为当前初始变换矩阵的最大公共子图方案。 Step 53: Compare the distance between the cluster center in G 2 and the cluster center in G 1 after the transformation, and use the match whose distance is less than a certain threshold and meet the initial matching requirements as the largest common subgraph scheme of the current initial transformation matrix .
  8. 根据权利要求1所述的基于最大公共子图的栅格地图融合方法,其特征在于:所述步骤七中选择最优方案的具体步骤为:The grid map fusion method based on the largest common submap according to claim 1, wherein the specific steps of selecting the optimal solution in the step seven are:
    步骤71、将最大公共子图方案中匹配聚类中心数目最多的作为最优方案的候选;Step 71: Take the one with the largest number of matching cluster centers in the largest common subgraph scheme as a candidate for the optimal scheme;
    步骤72、如果匹配聚类中心数目最多的最大公共子图方案只有一个,则该方案就是最优方案;Step 72: If there is only one scheme of the largest common subgraph with the largest number of matching cluster centers, then this scheme is the optimal scheme;
    步骤73、如果匹配聚类中心数目最多的最大公共子图方案不止一个,则将匹配聚类中心构成多边形面积最大的作为最优方案。Step 73: If there is more than one scheme of the largest common subgraph with the largest number of matching cluster centers, then the optimal scheme is the one with the largest polygonal area formed by the matching cluster centers.
  9. 根据权利要求1所述的基于最大公共子图的栅格地图融合方法,其特征在于:所述步骤8中的栅格地图融合策略具体为:The grid map fusion method based on the largest common sub-map according to claim 1, wherein the grid map fusion strategy in step 8 is specifically:
    Figure PCTCN2020080995-appb-100005
    Figure PCTCN2020080995-appb-100005
    Figure PCTCN2020080995-appb-100006
    Figure PCTCN2020080995-appb-100006
    Figure PCTCN2020080995-appb-100007
    Figure PCTCN2020080995-appb-100007
    其中,
    Figure PCTCN2020080995-appb-100008
    表示根据变换矩阵将栅格地图G 2的栅格坐标变换到栅格地图G 1的坐标系下;I(·)表示相应栅格坐标对应的灰度值;G 12表示融合后栅格坐标对应的灰度值。
    among them,
    Figure PCTCN2020080995-appb-100008
    Shows a transformation matrix transforming the grid map G 2 grid coordinates to the coordinate system of a grid map of G; I (·) represents the grayscale value corresponding to the coordinates corresponding to the raster; G 12 is represented by the corresponding grid coordinates fusion The gray value.
  10. 根据权利要求1至9中任一项所述的基于最大公共子图的栅格地图融合方法,其特征在于:用于多个栅格地图的融合。The grid map fusion method based on the largest common submap according to any one of claims 1 to 9, characterized in that it is used for fusion of multiple grid maps.
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