CN101509782A - Small-sized ground marker capturing and positioning method - Google Patents
Small-sized ground marker capturing and positioning method Download PDFInfo
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Abstract
本发明公开了一种小型地标捕获定位方法,属于目标自动识别与导航制导定位领域,其步骤为:1)建立小型地标与场景显著地物间的空间约束关系以及显著地物参考图;2)依据获取的显著地物实时图像检测场景显著地物;3)依据小型地标与显著地物间的空间约束关系限定显著地物实时图像的匹配搜索区域,在这个匹配搜索区域内对小型地标进行匹配,得到小型地标粗匹配点;4)在显著地物实时图像中,以粗匹配点为中心确定小型地标的感兴趣搜索区域;5)在感兴趣搜索区域进行小型地标的精确定位。本发明精确捕获定位复杂地面场景中的小型目标,从而准确实施对飞行器实时导航制导位置修正。
The invention discloses a small-scale landmark capture and positioning method, which belongs to the field of automatic target identification and navigation guidance positioning. The steps are as follows: 1) establishing the spatial constraint relationship between the small-scale landmark and the prominent features of the scene and a reference map of the prominent features; 2) Detect the salient features of the scene based on the acquired real-time image of the salient features; 3) Limit the matching search area of the real-time image of the salient features according to the spatial constraint relationship between the small landmarks and the salient features, and match the small landmarks in this matching search area , to get the rough matching points of small landmarks; 4) In the real-time image of salient features, determine the search area of interest for small landmarks centered on the rough matching points; 5) Perform precise positioning of small landmarks in the search area of interest. The invention accurately captures and positions small-sized targets in complex ground scenes, thereby accurately implementing real-time navigation and guidance position correction of aircraft.
Description
技术领域 technical field
本发明属于目标识别与导航制导定位技术领域,具体涉及一种小型地标自动捕获定位方法。The invention belongs to the technical field of target recognition and navigation guidance and positioning, and in particular relates to a method for automatic capture and positioning of small landmarks.
背景技术 Background technique
不断提高飞行器的导航精度一直是航空航天技术领域的重要研究课题。惯性导航系统的积累误差随着时间而逐渐增大,所以单独依靠惯性导航系统不能满足高精度导航的要求。可利用飞行器载光电平台成像系统获取外界基准信息,对地标进行捕获定位,从而对飞行器导航系统进行误差修正,实现飞行器的精确导航定位。Continuously improving the navigation accuracy of aircraft has always been an important research topic in the field of aerospace technology. The accumulated error of the inertial navigation system gradually increases with time, so relying on the inertial navigation system alone cannot meet the requirements of high-precision navigation. The imaging system of the aircraft-borne optoelectronic platform can be used to obtain external reference information, and the landmarks can be captured and positioned, so as to correct the error of the aircraft navigation system and realize the precise navigation and positioning of the aircraft.
小型地标是指地标特征所占图像尺寸在3×3 9×9像素范围的特征稳定的地物。小型地标是一种广泛存在的地物,其特征一般不容易改变。如果能够挖掘小型地标应用于导航定位的潜力,则飞行器导航系统的自主性将显著提高,对国民经济和国家安全意义重大。小型地标不仅是指那些本身几何尺寸小的稳定地物,还包括那些近距离尺寸比较大,但远距离成像时尺寸比较小的地物,因此小型地标的捕获定位应用广泛。小型地标也是一种目标,对于动平台条件下复杂背景中的小型地标,对其进行识别定位存在很多困难:首先小型地标在整个背景图像中占的比例很小,相对背景图像来说特征不显著;其次背景复杂且不断变化(如河流的涨水落水,局部地物的消失或出现),背景中又存在大量的跟地标图像相似的模式;再次动平台本身不稳定,飞行器的惯性导航信息有误差。因此,复杂背景下小型地标的捕获定位是一个难点问题。Small landmarks refer to feature-stable features whose landmark features occupy an image size within the range of 3×3 9×9 pixels. A small landmark is a widespread ground object, and its characteristics are generally not easy to change. If the potential of small landmarks for navigation and positioning can be tapped, the autonomy of the aircraft navigation system will be significantly improved, which is of great significance to the national economy and national security. Small landmarks not only refer to those stable ground objects with small geometric size, but also those ground objects with relatively large short-range size but relatively small size in long-distance imaging. Therefore, the capture and positioning of small landmarks is widely used. Small landmarks are also a kind of target. For small landmarks in complex backgrounds under moving platform conditions, there are many difficulties in identifying and positioning them: First, small landmarks account for a small proportion of the entire background image, and their features are not significant compared to the background image. ; secondly, the background is complex and constantly changing (such as the rising and falling of rivers, the disappearance or appearance of local features), and there are a large number of patterns similar to landmark images in the background; again, the moving platform itself is unstable, and the inertial navigation information of the aircraft has error. Therefore, the capture and positioning of small landmarks in complex backgrounds is a difficult problem.
Moon Y S,Zhang Tianxu,Zuo Zhengrong在“Detection of sea surface smalltargets in infrared images based on multi-level filter and minimum risk bayestest”,International Journal of Pattern Recognition and ArtificialIntelligence,2000,14(7):907-918中提出了一种基于多级滤波的海面红外小目标检测算法,该算法对背景、小目标和噪声频谱进行分析,利用基本滤波模板级连构成不同带宽的滤波模板对红外图像进行滤波,从而检测出目标。该方法的问题主要是:对于复杂地面背景中的小型地标,由于大量类似模式的存在,应用该方法可能造成大量虚警。Moon Y S, Zhang Tianxu, Zuo Zhengrong in "Detection of sea surface small targets in infrared images based on multi-level filter and minimum risk bayestest", International Journal of Pattern Recognition and Artificial Intelligence, 2000, 14-9: 1 A sea-surface infrared small target detection algorithm based on multi-stage filtering is proposed. The algorithm analyzes the background, small target and noise spectrum, and uses basic filter templates to form filter templates with different bandwidths to filter the infrared image, thereby detecting Target. The main problem of this method is: for small landmarks in complex ground background, due to the existence of a large number of similar patterns, the application of this method may cause a large number of false alarms.
Gianhca Marsiglia,Luea Fortunato,Aurora Ondini在“Template matchingtechniques for automatic IR target recognition in real and simulatedscenarios:tests and evaluations”,Proceeding of SPIE 2003,5094:159-16中提出了基于模板匹配的红外目标识别算法,该方法采用目标的结构图或纹理图制作目标基准图,与传感器输出的实时图进行匹配识别目标,适用于大型目标识别。该方法的问题主要是:对于复杂背景中的小型地标,地标本身相对于其周围复杂场景来说,特征不显著,这样在利用参考图进行匹配时,因为类似模式的存在,造成匹配识别概率低。Gianhca Marsiglia, Luea Fortunato, and Aurora Ondini proposed an infrared target recognition algorithm based on template matching in "Template matching techniques for automatic IR target recognition in real and simulated scenarios: tests and evaluations", Proceeding of SPIE 2003, 5094: 159-16. Methods The structure map or texture map of the target is used to make the target reference map, which is matched with the real-time map output by the sensor to identify the target, which is suitable for large-scale target recognition. The main problem with this method is: for small landmarks in complex backgrounds, the landmarks themselves have insignificant features compared to the surrounding complex scenes, so when matching with reference images, the matching recognition probability is low due to the existence of similar patterns .
即使是对于显著地物特征部位的识别定位,如桥梁与河流的某个交叉点,传统的方法是采用基于参考图的匹配,即首先在地面根据卫片制备二值或三值参考图,将其存入动平台计算机中,然后根据动平台的惯性导航信息,对计算机中的参考图进行透视变换,将变换后的参考子图与光电成像传感器实时图像匹配,从而捕获定位特征部位。但是这种方法并不可靠,因为在复杂背景中可能存在桥梁与河流的多个交叉点,且可能存在与交叉点类似的局部区域。这样在识别定位时,就可能定位到这些类似区域,而不是指定的导航定位点。而如果直接采用小型目标的检测方法来识别定位特征部位,则因为复杂背景中存在大量的跟该导航定位特征点相似的区域,造成图像中出现大量的相似区域,不能精确定位到指定的地标点。因此,传统的匹配方法不能达到飞行器可靠导航定位要求。Even for the identification and positioning of prominent feature parts, such as a certain intersection point of a bridge and a river, the traditional method is to use the matching based on the reference image, that is, first prepare a binary or ternary reference image on the ground based on the satellite image, and then It is stored in the computer of the moving platform, and then according to the inertial navigation information of the moving platform, the perspective transformation is performed on the reference image in the computer, and the transformed reference sub-image is matched with the real-time image of the photoelectric imaging sensor to capture the positioning feature. But this method is not reliable, because there may be multiple intersections of bridges and rivers in complex backgrounds, and there may be local regions similar to the intersections. In this way, when identifying and positioning, it is possible to locate these similar areas instead of the specified navigation anchor points. However, if the small target detection method is directly used to identify the positioning feature, because there are a large number of areas similar to the navigation positioning feature points in the complex background, there will be a large number of similar areas in the image, and the specified landmark point cannot be accurately located. . Therefore, traditional matching methods cannot meet the requirements of reliable navigation and positioning of aircraft.
复杂背景中的小型目标在整个背景中占的比例很小,相对于整个背景来说其特征显著性较弱。采用传统的全图检测或是全图匹配来检测定位复杂背景中的小型地标,由于复杂背景中存在大量的相似模式,会导致捕获定位的这正确率低,不能达到飞行器导航可靠准确定位要求。Small targets in complex backgrounds account for a small proportion of the entire background, and their feature salience is weaker compared to the entire background. Traditional full-image detection or full-image matching is used to detect and locate small landmarks in complex backgrounds. Due to the existence of a large number of similar patterns in complex backgrounds, the accuracy of capture and positioning will be low, and the requirements for reliable and accurate positioning of aircraft navigation cannot be met.
发明内容 Contents of the invention
本发明提供了一种小型地标捕获定位方法,精确捕获定位复杂地面场景中的小型目标,从而准确实施对飞行器实时导航制导位置修正。The invention provides a method for capturing and positioning small landmarks, which accurately captures and positions small targets in complex ground scenes, thereby accurately implementing real-time navigation and guidance position correction for aircraft.
一种小型地标自动捕获定位方法,按照以下步骤进行:A small-scale landmark automatic capture and positioning method is carried out according to the following steps:
(1)建立小型地标与显著地物间的空间约束关系以及显著地物参考图;(1) Establish the spatial constraint relationship between small landmarks and salient features and the reference map of salient features;
(2)依据拍摄的显著地物实时图像检测场景显著地物;(2) Detect the salient features of the scene based on the real-time images of the captured notable features;
(3)依据小型地标与显著地物间的空间约束关系限定显著地物实时图像的匹配搜索区域,在这个匹配搜索区域内对小型地标进行匹配,得到小型地标粗匹配点;(3) Limit the matching search area of the real-time image of the salient features according to the spatial constraint relationship between the small landmarks and the salient features, and match the small landmarks in this matching search area to obtain the rough matching points of the small landmarks;
(4)在显著地物实时图像中,以粗匹配点为中心确定小型地标的感兴趣搜索区域;(4) In the real-time image of salient features, determine the search area of interest for small landmarks centered on the coarse matching point;
(5)在感兴趣搜索区域进行小型地标的精确定位。(5) Precise positioning of small landmarks in the search area of interest.
所述空间约束关系包括小型地标与显著地物的包含关系、相邻关系以及间距。The spatial constraint relationship includes the inclusion relationship, adjacent relationship and distance between small landmarks and prominent features.
所述步骤(4)的感兴趣搜索区域以粗匹配点为中心,区域长度和宽度由m*(h/tanθ)决定,h为飞行高度,θ为俯仰角,常量m取值范围是[0,0.1]。The search region of interest in the step (4) is centered on the coarse matching point, and the length and width of the region are determined by m*(h/tanθ), h is the flight height, and θ is the pitch angle, and the value range of the constant m is [0 , 0.1].
本发明针对现有导航定位、匹配定位的缺陷,根据复杂背景小型地标的特点,提出一种基于空间约束关系的动平台小型地标自动捕获定位方法,该方法的技术效果体现在:Aiming at the defects of existing navigation positioning and matching positioning, the present invention proposes a method for automatic capture and positioning of small landmarks on a moving platform based on spatial constraint relationships according to the characteristics of small landmarks in complex backgrounds. The technical effects of this method are reflected in:
(1)本发明预先在地面建立小型地标与显著地物之间的空间约束关系知识库,对小型地标定位时,首先检测显著地物,再进一步根据空间约束关系定位小型地标。这种动平台条件下小型地标的递推捕获定位方法,具有很好的鲁棒性和精度。这是因为显著地物正确检测率高,尽管精度不够,然而基于显著地物参考图的匹配可靠性高,小型地标与各显著地物的约束关系不止一个,而且可靠。(1) The present invention pre-establishes a knowledge base of spatial constraint relationships between small landmarks and prominent features on the ground, and when locating small landmarks, first detects prominent features, and then further locates small landmarks according to the spatial constraint relationship. This method of recursive capture and positioning of small landmarks under moving platform conditions has good robustness and precision. This is because the correct detection rate of salient features is high, although the accuracy is not enough, but the matching reliability based on the reference map of salient features is high, and the constraint relationship between small landmarks and each salient feature is more than one, and it is reliable.
(2)在地面根据卫片建立地标和场景中显著地物之间的几何关系,比如场景中出现机场,桥梁,大块水域等地物时,建立这些地物与地标之间的几何关系,得到N个约束关系。飞行时对实时图像,依次检测出图像中的显著地物。根据这N个约束关系,确定进行显著地物实时图像的匹配搜索区。这样一来,搜索区就不再是全图了,而是在N个约束关系限制下的局部区域了,这样就明显减小了二义性的影响,同时提高了匹配正确率。(2) On the ground, establish the geometric relationship between the landmarks and the prominent features in the scene based on the satellite images. For example, when there are airports, bridges, large waters and other features in the scene, establish the geometric relationship between these features and the landmarks, Get N constraints. For the real-time image during flight, the prominent ground objects in the image are sequentially detected. According to the N constraints, the matching search area for the real-time image of the salient ground objects is determined. In this way, the search area is no longer the whole image, but a local area limited by N constraints, which significantly reduces the impact of ambiguity and improves the matching accuracy.
(3)在对小型地标进行精确定位时,不是在全图进行精确定位,而是在参考图粗匹配点的感兴趣区域进行特征模板匹配,这样就进一步减小了二义性的影响,同时提高了检测正确率。(3) When accurately locating small landmarks, instead of performing precise locating on the whole image, feature template matching is performed on the region of interest of the coarse matching points in the reference image, which further reduces the impact of ambiguity, and at the same time Improve the detection accuracy.
附图说明 Description of drawings
图1是本发明流程示意图;Fig. 1 is a schematic flow chart of the present invention;
图2是条带区域检测流程图;Fig. 2 is a flow chart of strip region detection;
图3是条带检测模板图,图3(a)为水平模板,图3(b)为垂直模板,图3(c)为45度模板,图3(d)为135度模板;Fig. 3 is a strip detection template diagram, Fig. 3 (a) is a horizontal template, Fig. 3 (b) is a vertical template, Fig. 3 (c) is a 45-degree template, and Fig. 3 (d) is a 135-degree template;
图4是透视变换模型图;Fig. 4 is a perspective transformation model diagram;
图5是含桥梁、河流、陆地的卫片图;Figure 5 is a satellite image containing bridges, rivers, and land;
图6是小型地标(桥梁与河道交叉点)与河流,桥梁,陆地的空间约束关系图;Figure 6 is a spatial constraint relationship diagram between small landmarks (bridges and river intersections) and rivers, bridges, and land;
图7是桥梁条带参考图;Fig. 7 is a bridge strip reference diagram;
图8是含桥梁、河流,水道、陆地等显著地物的参考图;Figure 8 is a reference map including bridges, rivers, waterways, land and other prominent features;
图9是动平台上光电成像传感器获取的桥梁区域实时图例子;Figure 9 is an example of a real-time map of the bridge area captured by the photoelectric imaging sensor on the moving platform;
图10是从该实时图提取的桥梁区域二值图;Fig. 10 is the bridge region binary image extracted from this real-time image;
图11是桥梁直线段部分Radon变换参考点图;Fig. 11 is a Radon transformation reference point diagram of the straight section of the bridge;
图12是桥梁直线段部分Radon变换得到的条带区域图;Fig. 12 is a strip area map obtained by Radon transformation of the straight section of the bridge;
图13是进行显著地物粗匹配的条带状搜索区图;Figure 13 is a striped search area map for rough matching of prominent features;
图14是显著地物参考图中用于粗匹配的子参考图(已根据飞行惯性导航参数进行透视变换);Fig. 14 is the sub-reference image used for rough matching in the prominent feature reference image (perspective transformation has been carried out according to the flight inertial navigation parameters);
图15是粗匹配定位结果图;Fig. 15 is a rough matching positioning result diagram;
图16是搜索地标的感兴趣区图;Fig. 16 is a region-of-interest diagram for searching landmarks;
图17是小型地标(桥梁/河道交叉点)特征模板图;Fig. 17 is a small-scale landmark (bridge/river intersection) feature template diagram;
图18是桥梁/河道交叉点在感兴趣区精确匹配定位结果图;Fig. 18 is a map of accurate matching and positioning results of bridge/river intersections in the region of interest;
图19是含湖中小岛、湖岸、条带地物的卫星图;Figure 19 is a satellite image containing small islands in the lake, lake shores, and strip features;
图20是小型地标(湖中小岛)与湖岸、条带地物的空间约束关系图;Figure 20 is a diagram of the spatial constraint relationship between small landmarks (small islands in the lake) and lake shores and strip features;
图21是含湖中小岛、湖岸、条带地物的参考图;Fig. 21 is a reference map including small islands in the lake, lake shores, and strip features;
图22是动平台上光电成像传感器获取的含湖中小岛的实时图例子;Fig. 22 is an example of a real-time map containing small islands in the lake obtained by the photoelectric imaging sensor on the moving platform;
图23是条带地物检测结果图;Fig. 23 is a diagram of detection results of strip ground objects;
图24是条带地物Radon变换参考点图;Figure 24 is a Radon transformation reference point map of strip features;
图25是条带地物Radon变换后的直线图;Fig. 25 is a straight line diagram after Radon transformation of strip features;
图26是进行显著地物粗匹配的条带状匹配搜索区域示意图;Fig. 26 is a schematic diagram of a strip-shaped matching search area for rough matching of prominent features;
图27是显著地物参考图中用于粗匹配的模板示意图(已根据飞行惯性Figure 27 is a schematic diagram of the template used for rough matching in the salient object reference map (according to the flight inertia
导航参数进行透视变换);navigation parameter for perspective transformation);
图28是粗匹配定位结果图;Fig. 28 is a rough matching positioning result diagram;
图29是湖中小岛的感兴趣搜索区域示意图;Fig. 29 is a schematic diagram of a search area of interest for an island in a lake;
图30是小型地标(湖中小岛)的二值特征模板图;Figure 30 is a binary feature template diagram of a small landmark (island in a lake);
图31是湖中小岛在感兴趣区精确匹配定位结果示意图。Figure 31 is a schematic diagram of the precise matching and positioning results of small islands in the lake in the ROI.
具体实施方式 Detailed ways
下面结合附图和两个实例对本发明作进一步详细的说明。Below in conjunction with accompanying drawing and two examples the present invention is described in further detail.
实例1:Example 1:
以图5含桥梁、河流、陆地的卫星图片为例,地标点为图中圆圈部分,即桥梁与河流的某个交叉点,可以看出该交叉点与桥梁和河流具有明显的空间约束关系,即它既在桥梁条带上,又在河岸处。Taking the satellite image of bridges, rivers, and land in Figure 5 as an example, the landmark point is the circled part in the figure, that is, a certain intersection point between the bridge and the river. It can be seen that the intersection point has an obvious spatial constraint relationship with the bridge and the river. That is, it is both on the bridge strip and at the river bank.
飞行前处理步骤为:The pre-flight processing steps are:
(1)地面准备(1) Ground preparation
在地面根据卫片建立小型地标和背景中显著地物之间的空间几何关系,显著地物主要包含三种:显著平面类地物,显著线条类地物和显著区域类地物。图5中桥梁为显著线条类地物,且地标点为桥梁与河流的某个交叉点,根据卫片建立地标点与桥梁,河流之间的空间几何关系如图6所示。图6中地标点坐标为桥梁的两个端点坐标分别为和且地标点所处的河流区域为R。建立的空间几何关系表达式为:On the ground, the spatial geometric relationship between the small landmarks and the salient features in the background is established according to the satellite images. The salient features mainly include three types: salient planar features, prominent line features and salient area features. In Figure 5, the bridge is a prominent line object, and the landmark point is a certain intersection point between the bridge and the river. The spatial geometric relationship between the landmark point and the bridge is established according to the satellite image, and the river is shown in Figure 6. The coordinates of the landmark points in Figure 6 are The coordinates of the two endpoints of the bridge are and and the landmark The river area where it is located is R. The established spatial geometric relationship expression is:
(x0,y0)∈l且(x0,y0)∈R,(x 0 , y 0 )∈l and (x 0 ,y 0 )∈R,
其中桥梁所在直线l由(x1,y1)和(x2,y2)确定The straight line l where the bridge is located is determined by (x 1 , y 1 ) and (x 2 , y 2 )
制备显著线条类地物的参考图。参考图的制备与实际图像的类别和目标的种类是紧密相连的,根据不同实际类型图像和不同目标,制备不同的参考图。对于光学图像来说,对含有地标,目标及周边环境的可见光图像做二值分割,手动找到一个合适门限,后续的工作是去掉黑、白色的噪声,然后根据原始图像调整相应的边缘和区域,使得需要进行匹配的地标及目标特征更加得显著,并尽量按照光学成像图像的特点去除相应的噪声及干扰。Prepare a reference map of prominent line-like features. The preparation of the reference image is closely related to the category of the actual image and the type of the target, and different reference images are prepared according to different actual types of images and different targets. For optical images, binary segmentation is performed on visible light images containing landmarks, targets and surrounding environments, and a suitable threshold is manually found. The follow-up work is to remove black and white noise, and then adjust the corresponding edges and regions according to the original image. It makes the landmarks and target features that need to be matched more prominent, and removes the corresponding noise and interference as much as possible according to the characteristics of the optical imaging image.
根据含桥梁、河流、陆地的卫片和红外成像传感器的特点,在地面制备的桥梁条带参考图如图7所示,含桥梁、河流,水道、陆地等显著地物的参考图如图8所示。同时,考虑到该显著地物为线条类地物,为了在飞行中更好地确定条带直线,便于飞行中投影(Radon)变换,在地面选取Radon变换点。在参考图上,在地面找出桥梁在长条部分上的两个点a和b,并记录这两个点在参考图上的坐标(xa,ya)和(xb,yb),将其存入飞行器计算机中,如图11所示(圆圈部分为在地面找的两个点a和b)。According to the characteristics of satellite images including bridges, rivers, and land and infrared imaging sensors, the reference map of bridge strips prepared on the ground is shown in Figure 7, and the reference map of significant features including bridges, rivers, waterways, and land is shown in Figure 8 shown. At the same time, considering that the prominent feature is a line-like feature, in order to better determine the strip line in flight and facilitate the in-flight projection (Radon) transformation, Radon transformation points are selected on the ground. On the reference map, find two points a and b on the long strip of the bridge on the ground, and record the coordinates (x a , y a ) and (x b , y b ) of these two points on the reference map , and store it in the aircraft computer, as shown in Figure 11 (the circle part is two points a and b found on the ground).
飞行中处理步骤为:The in-flight processing steps are:
(2)检测显著线条类地物(2) Detection of significant line objects
图9为动平台上光电成像传感器获取的桥梁区域实时图例子。首先检测图中的桥梁条带,检测桥梁条带区域的流程如图2所示。Figure 9 is an example of a real-time map of the bridge area captured by the photoelectric imaging sensor on the moving platform. Firstly, the bridge strips in the figure are detected, and the process of detecting bridge strip areas is shown in Figure 2.
检测图9中的桥梁直线的过程如下:首先利用4个模板(如图3所示)对实时图像做卷积运算,可得到4幅卷积结果图。对4幅卷积结果图像逐像素点取4幅图像中的最大值,得到综合4个方向信息且具有抗一定旋转能力的综合卷积结果图。计算综合卷积结果图的均值μ和标准差δ,取阈值G=μ+Kσ,取K=2作门限,对综合卷积结果图进行二值分割。遍历分割后的二值图像,得到图中的连通区域,把构成同一个连通区域的像素用链表的形式记录下来,并对每个连通区域赋予不同的标志值,得到一系列感兴趣区域。对这一系列感兴趣区域分别计算区域的外接矩形中不在区域上的像素点的灰度均值,如果灰度均值与水域均值相差不大,则判定为桥梁。如果有多个符合条件的桥梁区域,则取长度最长者为桥梁区域。得到的桥梁区域二值图如图10所示。The process of detecting the straight line of the bridge in Figure 9 is as follows: first, use 4 templates (as shown in Figure 3) to perform convolution operation on the real-time image, and 4 convolution result images can be obtained. For the 4 convolution result images, the maximum value of the 4 images is taken pixel by pixel, and a comprehensive convolution result image that integrates information in 4 directions and has the ability to resist certain rotations is obtained. Calculate the mean value μ and standard deviation δ of the comprehensive convolution result map, take the threshold G=μ+Kσ, and take K=2 as the threshold, and perform binary segmentation on the comprehensive convolution result map. Traverse the segmented binary image to obtain the connected regions in the image, record the pixels that constitute the same connected region in the form of a linked list, and assign different flag values to each connected region to obtain a series of regions of interest. For this series of regions of interest, calculate the average gray value of the pixels in the circumscribed rectangle of the area that are not on the area. If the average gray value is not much different from the average value of the water area, it is judged as a bridge. If there are multiple eligible bridge areas, the one with the longest length is taken as the bridge area. The resulting binary map of the bridge area is shown in Figure 10.
为了保证检测得到的桥梁区域为长条形,对图10进行Radon变换。二维Radon变换的表达式为:In order to ensure that the detected bridge area is a long strip, Radon transform is performed on Figure 10 . The expression of the two-dimensional Radon transform is:
D为整个实时图像直角坐标平面;f(x,y)为图像点(x,y)的灰度值;ρ为坐标原点到直线ρ=xcosθ+ysinθ的距离;θ为直线ρ=xcosθ+ysinθ与x轴的夹角。它使f(x,y)沿直线ρ=xcosθ+ysinθ进行积分,Radon变换可以理解为图像在ρ-θ空间的投影,ρ-θ空间的每一点对应图像空间一条直线,而Radon变换是图像像素点在每一条直线上的积分。根据不同的ρ和θ的组合,对图像进行Radon变换,找出极大值,其对应的ρ和θ就是需要找的直线参数。D is the Cartesian coordinate plane of the entire real-time image; f(x, y) is the gray value of the image point (x, y); ρ is the distance from the coordinate origin to the straight line ρ=xcosθ+ysinθ; θ is the straight line ρ=xcosθ+ysinθ Angle with the x-axis. It makes f(x, y) integrate along the straight line ρ=xcosθ+ysinθ, the Radon transform can be understood as the projection of the image in the ρ-θ space, each point in the ρ-θ space corresponds to a straight line in the image space, and the Radon transform is the image Integral of pixels on each line. According to different combinations of ρ and θ, perform Radon transformation on the image to find the maximum value, and the corresponding ρ and θ are the parameters of the straight line that need to be found.
在进行Radon变换时,并不是在θ所有的角度(0~2π)都进行变换,而只是在某个角度范围之内进行,考虑到惯测组合的误差,该角度范围由动平台惯性导航测量组合装置提供,这样可以兼顾速度和准确率。When performing Radon transformation, not all angles of θ (0~2π) are transformed, but only within a certain angle range. Considering the error of the inertial measurement combination, the angle range is measured by the inertial navigation of the moving platform Combination devices are provided so that both speed and accuracy can be considered.
根据飞行器的导航信息(导引头的航向角α,俯仰角θ和高度h),便可以对图11所示显著线条类地物参考图像中的a和b进行透视变换,得到a和b在实时前视图中的像素点a′和b′,其坐标分别为(xa′,ya′)和xb′,yb′)。透视变换模型如图4所示,其中:φ为成像仪纵向成像视场角,为成像仪横向成像角,前视图像行数为ROW,图像列数为COL,α为方位角,θ为俯仰角,h为飞行高度。如图4所示:T0(x0,y0)为光轴所在点,T1(x1,y1)为地面的某个点,则在光电传感器获取的前视图像中T0的像素点位置为(COL/2,ROW/2),设T1在光电传感器获取的前视图像中的像素点位置为(T1_COL,T1_ROW),则计算T1_COL和T1_ROW的过程如下:According to the navigation information of the aircraft (the heading angle α of the seeker, the pitch angle θ and the height h), the perspective transformation of a and b in the reference image of prominent line-like objects shown in Fig. The coordinates of pixel points a' and b' in the real-time front view are (x a' , y a' ) and x b' , y b' ), respectively. The perspective transformation model is shown in Figure 4, where: φ is the longitudinal imaging field angle of the imager, is the lateral imaging angle of the imager, the number of front-view image rows is ROW, the number of image columns is COL, α is the azimuth angle, θ is the pitch angle, and h is the flight height. As shown in Figure 4 : T 0 (x 0 , y 0 ) is the point where the optical axis is located, and T 1 (x 1 , y 1 ) is a certain point on the ground. The pixel point position is (COL/2, ROW/2), and the pixel point position of T 1 in the front-view image acquired by the photoelectric sensor is (T 1 _COL, T 1 _ROW), then calculate T 1 _COL and T 1 _ROW The process is as follows:
OT0=h/tanθOT 0 =h/tanθ
tan(∠OMP)=h/OMtan(∠OMP)=h/OM
T1_ROW=(∠OMP-θ)*ROW/φT 1 _ROW=(∠OMP-θ)*ROW/φ
其中,OT0为光轴与大地交点T0与成像仪投影至大地O点的距离,M点为T1点投影至光轴纵向方向与OT0直线的交点,OM则为点O到点M的距离。Among them, OT 0 is the distance between the intersection point T 0 of the optical axis and the earth and the projection of the imager to the point O of the earth, point M is the intersection point between the projection of point T 1 to the longitudinal direction of the optical axis and the straight line OT 0 , and OM is point O to point M distance.
对于参考图中已知的两个点(xa,ya)和(xb,yb),它们在光电成像传感器获取的实时图像上的位置为xa′,ya′)和xb′,yb′),则可以通过透视变换模型,根据导航系统的方位角α,俯仰角θ,高度h,计算xa′,ya′,xb′,yb′如下(将坐标分别代入透视变换模型公式即可):For two known points (x a , ya ) and (x b , y b ) in the reference image, their positions on the real-time image captured by the photoelectric imaging sensor are x a′ , y a′ ) and x b ′ , y b′ ), then the perspective transformation model can be used to calculate x a′ , y a′ , x b′ , and y b ′ according to the azimuth α, pitch angle θ, and height h of the navigation system as follows (the coordinates are respectively Substitute into the perspective transformation model formula):
已知两个点,便可以确定一条直线,计算出实时图像中长条形的斜率
ρ=xcosω+ysinωρ=xcosω+ysinω
对图10中所有的白像素点进行如下处理:对于所有灰度值等于255的点,计算这些点到直线ρ=xcosω+ysinω的距离,如果距离大于Δd(如取Δd为3),则将距离大于Δd的点的灰度值置为0,否则保持不变。Radon变换结果得到的条带区域如图12所示,包含该区域的最小矩形就是匹配搜索区域,如图13所示。All the white pixels in Fig. 10 are processed as follows: For all the points whose gray value is equal to 255, calculate the distance from these points to the straight line ρ=xcosω+ysinω, if the distance is greater than Δd (for example, Δd is 3), then the The gray value of the point whose distance is greater than Δd is set to 0, otherwise it remains unchanged. The strip area obtained by the Radon transformation result is shown in Figure 12, and the smallest rectangle containing this area is the matching search area, as shown in Figure 13.
(3)沿线条区域方向的显著地物参考图匹配(3) Matching of salient object reference maps along the direction of the line area
依据小型地标与显著地物间的空间约束关系限定显著地物实时图像的匹配搜索区域,在这个匹配搜索区域内对小型地标进行粗定位,得到小型地标粗匹配点,以该粗匹配点为中心,确定一个适当大小的局部区域,在该局部区域内检测地标特征进行精定位。According to the spatial constraint relationship between small landmarks and prominent features, the matching search area of the real-time image of prominent features is limited, and the small landmarks are roughly positioned in this matching search area to obtain the rough matching point of the small landmark, and the coarse matching point is the center , to determine a local region with an appropriate size, and detect landmark features in the local region for fine positioning.
对于实时图像,参见图9,导引头的姿态参数为:俯仰角θ,航向角α,高度h。根据姿态参数,对显著线条类地物参考图进行透视变换,得到参考图的前视变换图。在变换后的显著地物参考图选取方形的匹配模板,匹配模板的中心为小型地标,模板的长度和宽度由θhμ确定,其中θ为俯仰角,h为高度,μ为常量,μ的取值范围是[0,0.01],本实施例取为0.005。将选取的匹配模板沿着图13中的白色条带区域与实时图像相关匹配。For the real-time image, see Fig. 9, the attitude parameters of the seeker are: pitch angle θ, heading angle α, height h. According to the attitude parameters, the perspective transformation is carried out on the reference image of prominent line objects, and the front-view transformation image of the reference image is obtained. Select a square matching template in the transformed salient feature reference map, the center of the matching template is a small landmark, the length and width of the template are determined by θhμ, where θ is the pitch angle, h is the height, μ is a constant, and the value of μ The range is [0, 0.01], which is taken as 0.005 in this embodiment. Match the selected matching template with the real-time image along the white strip area in Figure 13.
选取的显著地物参考图子图模板如图14所示。根据在地面准备阶段得到小型地标与周围显著地物之间的空间约束关系,可以知道待检测的小型地标位于桥梁与河道的某个交叉处。直接采用全图检测或全图匹配的方法来检测小型地标会很困难,因为桥梁与河道的交叉口有很多,且该小型地标特征不显著。但是根据地面准备阶段得到的小型地标与周围显著地物之间的空间约束关系,可以先把显著的桥梁地物检测出来,然后沿着桥梁条带方向进行针对小型地标的参考图匹配,不仅减少了计算量,而且这样会明显提高检测准确率。前一步骤已经检测定位到了桥梁条带区域,可以知道小型地标点就在这个条带区域上,但还不知道该小型地标在条带上的具体位置,于是根据空间约束关系(小型地标在桥梁上),沿着条带方向进行含小型地标的显著地物参考图匹配,进行匹配的搜索区如图13中的白色条带区域所示。如果是全图搜索,则会由于图像中存在的大量的类似小型地标的区域而造成检测不准确,而采用基于小型地标与周围显著地物的空间约束关系的匹配,则限定了匹配搜索区范围,从而提高了检测准确率。The submap template of the selected reference map of salient features is shown in Figure 14. According to the spatial constraint relationship between the small landmarks and the surrounding prominent features obtained in the ground preparation stage, it can be known that the small landmarks to be detected are located at a certain intersection of the bridge and the river. It is difficult to detect small landmarks directly by full-image detection or full-image matching, because there are many intersections between bridges and rivers, and the features of the small landmarks are not significant. However, according to the spatial constraint relationship between the small landmarks and the surrounding prominent features obtained in the ground preparation stage, the prominent bridge features can be detected first, and then the reference image matching for the small landmarks can be carried out along the direction of the bridge strip, which not only reduces the The amount of calculation is reduced, and this will significantly improve the detection accuracy. The bridge strip area has been detected and located in the previous step. It can be known that the small landmark point is on this strip area, but the specific position of the small landmark on the strip is not yet known, so according to the spatial constraint relationship (the small landmark is on the bridge Above), along the direction of the strip, match the reference map of prominent features containing small landmarks, and the search area for matching is shown in the white strip area in Figure 13. If it is a full-image search, the detection will be inaccurate due to the existence of a large number of areas similar to small landmarks in the image, and the matching based on the spatial constraint relationship between small landmarks and surrounding prominent features will limit the scope of the matching search area , thereby improving the detection accuracy.
匹配采用的度量为去均值归一化灰度互相关,去均值归一化灰度互相关匹配算法的定义如下:设实时图为Gr,其大小为Mr×Nr,参考图为Gs,其大小为Ms×Ns,且Ms<Mr,Ns<Nr。则实时图中以(u,v)为左上角、大小为Ms×Ns的子图Gr(u,v)与参考图Gs间的去均值归一化互相关度量ρ(u,v)为:The metric used for matching is de-mean normalized gray-scale cross-correlation, and the definition of the de-mean normalized gray-scale cross-correlation matching algorithm is as follows: Let the real-time image be G r , whose size is M r ×N r , and the reference image be G s , its size is M s ×N s , and M s <M r , N s <N r . Then the de-mean normalized cross-correlation measure ρ ( u , v) is:
其中与分别为Gr(u,v)与Gs的灰度均值。由ρ(u,v)构成的相关系数矩阵就是相关面。再从计算出的匹配相关面数据ρ(u,v)中选取极值点得到匹配定位点,互相关匹配算法的运算量主要集中在相关面数据ρ(u,v)的计算上。in and are the gray mean values of G r (u, v) and G s respectively. The correlation coefficient matrix composed of ρ(u, v) is the correlation surface. Then select the extreme points from the calculated matching related surface data ρ(u, v) to obtain the matching positioning point, and the calculation amount of the cross-correlation matching algorithm is mainly concentrated on the calculation of the related surface data ρ(u, v).
匹配结果如图15所示。The matching results are shown in Figure 15.
这样就粗略地得到了小型地标的位置,但是还不精确,以该粗匹配点为中心,选取一个局部区域(区域大小由m(h/tanθ)决定,h为飞行高度,θ为俯仰角,m为常量,取值范围是[0,0.1],本实施例取为0.01),该局部区域就是感兴趣区(小型地标的潜在位置区域),如图16所示。In this way, the position of the small landmark is roughly obtained, but it is not accurate yet. With the rough matching point as the center, select a local area (the size of the area is determined by m(h/tanθ), h is the flight height, θ is the pitch angle, m is a constant, and the value range is [0, 0.1], which is 0.01 in this embodiment), the local area is the area of interest (potential location area of small landmarks), as shown in Figure 16.
(4)检测和精确定位小型地标(4) Detect and pinpoint small landmarks
经过前面的步骤,已经确定了小型地标所在的感兴趣区域,但还不能精确定位小型地标在感兴趣区域中的具体位置。因此还需要在该感兴趣区中进行小型地标的精确定位。本实施例采用的方法是在前一步骤经过透视变换,将显著地物参考图透视变换为显著地物参考图的前视图。在显著地物参考图的前视图中以小型地标点为中心选取一个特征小模板,用该模板与实时图的感兴趣区进行特征匹配,以得到小型地标的精确位置。选取的小模板大小根据θhs决定,其中θ为俯仰角,h为高度,s为常量,s的取值范围是[0,0.005],本实施例取为0.0025。选取的地标参考模板例子如图17所示,地标检测定位结果如图18所示。After the previous steps, the region of interest where the small landmarks are located has been determined, but the specific location of the small landmarks in the region of interest cannot be precisely located. Therefore, precise positioning of small landmarks in this ROI is also required. The method adopted in this embodiment is to perform perspective transformation in the previous step to transform the perspective transformation of the reference map of prominent features into the front view of the reference map of prominent features. In the front view of the salient object reference map, a small feature template is selected centering on the small landmark point, and the template is used to perform feature matching with the ROI of the real-time map to obtain the precise position of the small landmark. The size of the selected small template is determined according to θhs, where θ is the pitch angle, h is the height, s is a constant, and the value range of s is [0, 0.005], which is 0.0025 in this embodiment. An example of the selected landmark reference template is shown in Figure 17, and the results of landmark detection and positioning are shown in Figure 18.
实例2:Example 2:
以如图19所示的某湖中小岛的卫星图片为例,地标点为图中圆圈包含的小岛,地标小岛包含于湖泊中,可以看到小岛旁边由一个明显的条带地物,湖中小岛与该条带地物和湖岸之间具有显著空间约束关系。Take the satellite image of a small island in a lake as shown in Figure 19 as an example. The landmark point is the small island contained in the circle in the picture. The landmark small island is included in the lake. You can see that there is an obvious strip feature next to the small island , there is a significant spatial constraint relationship between the small island in the lake, the features of the strip and the shore of the lake.
飞行前处理步骤为:The pre-flight processing steps are:
(1)地面准备(1) Ground preparation
在地面根据卫片建立小型地标和场景中显著地物之间的空间几何关系,显著地物主要包含三种:显著平面类地物,显著线条类地物和显著区域类地物。图19中小岛附近有一座桥梁,且小岛与湖岸有明显的几何关系,建立小岛的空间约束关系如图20所示。On the ground, the spatial geometric relationship between the small landmarks and the salient features in the scene is established based on the satellite images. The salient features mainly include three types: salient plane-like features, prominent line-like features and salient area-like features. In Figure 19, there is a bridge near the island, and there is an obvious geometric relationship between the island and the lake shore. Figure 20 shows the spatial constraint relationship of the island.
根据湖中小岛卫星图片和光学图像的特点,在地面制备的显著地物二值参考图如图21所示。同时,考虑到该显著地物为线条类地物,为了在飞行中更好地确定条带直线,便于飞行中Radon变换,在地面选取Radon变换点。在参考图上,在地面找出桥梁在长条部分上的两个点α和b,并记录这两个点在参考图上的坐标(xa,ya)和(xb,yb),将其存入飞行器计算机中,如图24所示。According to the characteristics of satellite images and optical images of small islands in the lake, the binary reference map of salient ground features prepared on the ground is shown in Figure 21. At the same time, considering that the prominent feature is a line-like feature, in order to better determine the strip line in flight and facilitate the Radon transformation in flight, the Radon transformation point is selected on the ground. On the reference map, find two points α and b on the long strip of the bridge on the ground, and record the coordinates (x a , y a ) and (x b , y b ) of these two points on the reference map , and store it in the aircraft computer, as shown in Figure 24.
飞行中处理步骤为:The in-flight processing steps are:
(2)检测显著线条类地物(2) Detection of significant line objects
图22为光电成像传感器获取的湖中小岛的实时图像,小岛附近的条带状桥梁地物特征很显著,对其进行检测定位。Figure 22 is the real-time image of the small island in the lake captured by the photoelectric imaging sensor. The strip-shaped bridge near the small island has obvious features, so it is detected and positioned.
首先利用4个模板(如图3所示)对图像做卷积运算,可得到4幅卷积结果图。对4幅卷积结果图像逐像素点取4幅图像中的最大值,得到综合4个方向信息且具有抗一定旋转能力的综合卷积结果图。计算综合卷积结果图的均值μ和标准差δ,取阈值G=μ+Kσ,取K=2作门限,对综合卷积结果图进行二值分割。遍历分割后的二值图像,得到图中的连通区域,把构成同一个连通区域的像素用链表的形式记录下来,并对每个连通区域赋予不同的标志值,得到一系列感兴趣区域。对这一系列感兴趣区域分别计算区域的外接矩形中不在区域上的像素点的灰度均值,如果灰度均值与水域均值相差不大,则判定为条带。如果有多个符合条件的条带区域,则取长度最长者为条带区域。得到的条带区域如图23所示。First, use 4 templates (as shown in Figure 3) to perform convolution operations on the image, and 4 convolution result images can be obtained. For the 4 convolution result images, the maximum value of the 4 images is taken pixel by pixel, and a comprehensive convolution result image that integrates information in 4 directions and has the ability to resist certain rotations is obtained. Calculate the mean value μ and standard deviation δ of the comprehensive convolution result map, take the threshold G=μ+Kσ, and take K=2 as the threshold, and perform binary segmentation on the comprehensive convolution result map. Traverse the segmented binary image to obtain the connected regions in the image, record the pixels that constitute the same connected region in the form of a linked list, and assign different flag values to each connected region to obtain a series of regions of interest. For this series of regions of interest, calculate the gray mean value of the pixels in the circumscribed rectangle of the region that are not on the region. If the gray value mean value is not much different from the water area mean value, it is judged as a band. If there are multiple eligible strip areas, the one with the longest length is taken as the strip area. The resulting striped area is shown in Figure 23.
为了得到直线方程,对图23进行Radon变换。根据实时参数(俯仰角θ,航向角α,高度h)分别对图23中的点a和b进行变换,得到对应的实时图中点的坐标位置(xa′,ya′)和(xb′,yb′)。通过
变换后得到直线的极坐标表达式:After transformation, the polar coordinate expression of the straight line is obtained:
ρ=xcosθ+ysinθρ=xcosθ+ysinθ
Radon变换后得到的直线r如图25所示。The straight line r obtained after Radon transformation is shown in Figure 25.
(3)沿线条区域方向的显著地物参考图匹配(3) Matching of salient object reference maps along the direction of the line area
根据飞行参数(俯仰角θ,航向角α,高度h)对参考图进行透视变换,得到参考图的实时前视变换图。选取一定大小的参考子图(选取大小由θhμ确定,其中θ为俯仰角,h为飞行高度,μ为常量,本实施例μ取为0.005),选取的参考子图如图27所示。According to the flight parameters (pitch angle θ, heading angle α, height h), the perspective transformation of the reference image is carried out to obtain the real-time forward-looking transformation image of the reference image. Select a reference subgraph of a certain size (the selected size is determined by θhμ, where θ is the pitch angle, h is the flight height, μ is a constant, and μ is taken as 0.005 in this embodiment), and the selected reference subgraph is shown in Figure 27.
根据湖中小岛与显著条带地物之间的空间约束关系,可以知道湖中小岛与显著条带地物之间存在一定的几何关系,湖中小岛不在条带地物上,而是与条带地物有一定的距离。如图20所示的湖中小岛与显著地物之间的空间约束关系中,对湖中小岛与条带桥梁地物之间的距离l进行透视变换,得到实时图像中的l′。于是可以知道实时图中的湖中小岛应该在与显著条带地物的距离不超过l′的条带区域中。于是定义湖中小岛参考图匹配的搜索区域为:According to the spatial constraint relationship between the small islands in the lake and the prominent strip features, it can be known that there is a certain geometric relationship between the small islands in the lake and the prominent strip features. There is a certain distance with ground objects. In the spatial constraint relationship between the small island in the lake and the prominent features shown in Figure 20, the distance l between the small island in the lake and the strip bridge feature is subjected to perspective transformation to obtain l′ in the real-time image. Therefore, it can be known that the small island in the lake in the real-time map should be in the strip area whose distance from the prominent strip feature does not exceed l′. Then define the search area for matching the reference image of the small island in the lake as:
Dxr≤l′D xr ≤ l′
其中Dxr表示实时图像中像素点x到Radon变换得到的直线r之间的距离。这样就不是全图搜索了,而是利用了湖中小岛与显著线条地物之间的空间约束关系,大大限定了匹配搜索区,提高了检测准确率。图26为匹配搜索区。Among them, D xr represents the distance between the pixel point x in the real-time image and the straight line r obtained by Radon transformation. In this way, it is not a full-image search, but the spatial constraint relationship between small islands in the lake and prominent line features is used, which greatly limits the matching search area and improves the detection accuracy. Figure 26 is a matching search area.
本实施例采用的匹配方法为去均值归一化灰度互相关算法:The matching method used in this embodiment is the de-mean normalized gray-scale cross-correlation algorithm:
进行湖中小岛参考图匹配后的结果如图28所示。Figure 28 shows the result after matching the reference image of the small island in the lake.
这样就粗略地得到了湖中小岛的位置,但是还不精确,以匹配点为中心,选取一个局部区域(区域大小由m(h/tanθ)决定,h为飞行高度,θ为俯仰角,m为常量,本实施例取m为0.01),该局部区域就是感兴趣区(湖中小岛的潜在位置区域),如图29所示。In this way, the position of the small island in the lake is roughly obtained, but it is not accurate yet. With the matching point as the center, select a local area (the size of the area is determined by m(h/tanθ), h is the flight height, θ is the pitch angle, m is a constant, in this embodiment, m is taken as 0.01), and this local area is the area of interest (the potential location area of the small island in the lake), as shown in Figure 29.
(4)检测小型地标(4) Detection of small landmarks
经过前面的步骤,已经确定了湖中小岛的感兴趣区域,但还不能精确定位湖中小岛在感兴趣区域中的具体位置。因此还需要在该感兴趣区中进行湖中小岛的精确定位。本实施例采用的方法是在前一步骤经过透视变换,将显著地物参考图透视变换为显著地物参考图的前视图。在显著地物参考图的前视图中以小型地标点(湖中小岛)为中心选取一个小模板,用该模板与实时图的感兴趣区进行匹配,以得到小型地标的精确位置。选取的小模板大小根据θhs决定,其中θ为俯仰角,h为高度,常量s的取值范围是[0,0.005],本实施例取为0.0025。选取的地标参考模板例子如图30所示,地标检测定位结果如图31所示。After the previous steps, the area of interest of the small island in the lake has been determined, but the specific location of the small island in the lake in the area of interest cannot be precisely located. Therefore, it is also necessary to accurately locate the small island in the lake in this area of interest. The method adopted in this embodiment is to perform perspective transformation in the previous step to transform the perspective transformation of the reference map of prominent features into the front view of the reference map of prominent features. In the front view of the salient feature reference map, select a small template centered on the small landmark point (island in the lake), and use this template to match the ROI of the real-time map to obtain the precise position of the small landmark. The size of the selected small template is determined according to θhs, where θ is the pitch angle, h is the height, and the value range of the constant s is [0, 0.005], which is 0.0025 in this embodiment. An example of the selected landmark reference template is shown in Figure 30, and the results of landmark detection and positioning are shown in Figure 31.
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