CN112070891A - Image area network adjustment method and system with digital ground model as three-dimensional control - Google Patents
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Abstract
本发明提供一种数字地面模型作为三维控制的影像区域网平差方法及系统,包括根据遥感影像的连接关系对影像进行排序,建立连接点像点坐标观测方程;基于数字地面模型,建立空间曲面作为三维控制的观测方程;根据离散点计算空间曲面方向导数,统计距离观测值的均值和标准差,针对距离观测值的精度以及粗差对平差定位结果的影响,计算空间曲面三维控制观测值的权;以连接点像点坐标观测方程和空间距离观测方程作为遥感影像区域网平差的联合观测方程,解算数字地面模型对应空间曲面作为三维控制信息的遥感影像区域网平差,得到遥感影像定位参数及连接点物方坐标。本发明不仅提高遥感影像高程定位精度,同时在无地面控制点情况下有效提高平面定位精度。
The invention provides a digital ground model as a three-dimensionally controlled image area network adjustment method and system, including sorting images according to the connection relationship of remote sensing images, establishing a coordinate observation equation of connecting points and image points; establishing a space curved surface based on the digital ground model As the observation equation of 3D control; calculate the directional derivative of the space surface according to the discrete points, count the mean and standard deviation of the distance observations, and calculate the 3D control observations of the space surface according to the accuracy of the distance observations and the influence of the gross error on the adjustment and positioning results. Taking the coordinate observation equation of the connected point and the point image and the spatial distance observation equation as the joint observation equation of the remote sensing image block adjustment, solve the remote sensing image block adjustment with the spatial surface corresponding to the digital ground model as the three-dimensional control information, and obtain the remote sensing image block adjustment. Image positioning parameters and object coordinates of connection points. The invention not only improves the elevation positioning accuracy of remote sensing images, but also effectively improves the plane positioning accuracy in the absence of ground control points.
Description
技术领域technical field
本发明属于遥感技术领域,涉及一种空间曲面作为三维控制信息的立体影像区域网平差定位方法,适应于立体影像无地面控制点高精度三维定位。The invention belongs to the technical field of remote sensing, and relates to a three-dimensional image area network adjustment and positioning method using a space curved surface as three-dimensional control information, which is suitable for high-precision three-dimensional positioning of three-dimensional images without ground control points.
背景技术Background technique
遥感立体影像高精度几何定位需要可靠的控制信息,常规方法一般借助均匀分布的明显地物点作为平差控制点,以反演影像空间与地面空间坐标系之间的几何关联,消除影像成像过程中的各种系统误差,从而达到相应比例尺地图测绘的精度要求。因此,获取足够的地面控制点是保证卫星遥感影像区域网平差几何定位精度和可靠性的重要前提之一。在实际生产中由于种种条件限制,地面控制点测量往往费时费力,对于困难区域或者全球大范围测图,地面控制点的获取难度更大。充分利用既有地理信息数据资源,采用稀少控制甚至无地面控制的高精度几何定位技术以减少对地面控制点作业需求,是实现全球大区域覆盖和地面控制信息获取困难地区地图测绘、降低生产成本、提高生产效率的有效途径,也是摄影测量与遥感领域长期以来研究的热点和追求的目标。High-precision geometric positioning of remote sensing stereo images requires reliable control information. Conventional methods generally use uniformly distributed obvious object points as adjustment control points to invert the geometric relationship between the image space and the ground space coordinate system and eliminate the image imaging process. Various systematic errors in the corresponding scale map surveying and mapping can be achieved. Therefore, obtaining enough ground control points is one of the important prerequisites to ensure the accuracy and reliability of the geometric positioning of the satellite remote sensing image regional network adjustment. In actual production, due to various conditions, GCP measurement is often time-consuming and labor-intensive. For difficult areas or large-scale global mapping, it is more difficult to obtain GCPs. Make full use of existing geographic information data resources, and adopt high-precision geometric positioning technology with sparse control or even no ground control to reduce the demand for ground control points. , an effective way to improve production efficiency, is also a long-term research focus and goal in the field of photogrammetry and remote sensing.
遥感影像定位参数中包含的系统误差不一定能在区域网平差中相互抵消,甚至有可能系统累积,例如,由于传感器检校不充分产生的CCD线阵方向的比例误差会导致整个区域在垂直轨道方向的缩放,这项误差会随着区域范围的扩大而系统累积,从而导致无控自由网平差绝对定位精度下降。为摆脱对地面控制点的依赖并实现多源地理信息大数据的融合应用,研究者提出了“云控制”的概念和技术,从带有地理空间信息的影像、矢量及LIDAR点云数据中自动获取广义几何控制信息。The systematic errors contained in the positioning parameters of remote sensing images may not necessarily cancel each other out in the regional network adjustment, and may even be accumulated systematically. With the scaling of the orbit direction, this error will accumulate systematically with the expansion of the area, resulting in a decrease in the absolute positioning accuracy of the uncontrolled free network adjustment. In order to get rid of the dependence on ground control points and realize the fusion application of multi-source geographic information big data, the researchers put forward the concept and technology of "cloud control", which can automatically extract data from image, vector and LIDAR point cloud data with geospatial information. Obtain generalized geometric control information.
相关现有技术可参见:Related prior art can be found in:
CN103823981B,一种数字高程模型辅助的卫星影像区域网平差方法CN103823981B, a satellite image regional network adjustment method assisted by digital elevation model
CN110006408B,LIDAR数据“云控制”摄影测量方法CN110006408B, LIDAR data "cloud control" photogrammetry method
张祖勋,陶鹏杰。谈大数据时代的“云控制”摄影测量,《测绘学报》,2017,第1238-1248页。Zhang Zuxun, Tao Pengjie. Talking about "cloud-controlled" photogrammetry in the era of big data, Journal of Surveying and Mapping, 2017, pp. 1238-1248.
数字高程模型(DEM)一般以规则格网的形式表达三维地形信息,可作为控制信息提高卫星影像无控定位精度。目前的技术可分为两类:一类是在影像区域网平差中使用DEM作为高程控制,改善影像交会条件并改正影像对应成像模型中的系统误差,以提高影像高程定位精度,但平面定位精度的提升还需要依赖其它控制信息;另一类通过影像匹配生成的DSM或DEM与参考DEM的配准,计算两者之间的空间相似变换参数,并改正卫星影像定位参数。然而,这类方法需预先利用立体卫星影像自动匹配生成DEM,增加了计算时间和应用的复杂度且限制了卫星影像数据的使用条件。Digital elevation model (DEM) generally expresses three-dimensional terrain information in the form of regular grid, which can be used as control information to improve the accuracy of uncontrolled positioning of satellite images. The current technology can be divided into two categories: one is to use DEM as elevation control in the image block adjustment, to improve the image intersection conditions and to correct the systematic errors in the corresponding imaging model of the image, so as to improve the image elevation positioning accuracy, but the plane positioning The improvement of the accuracy also needs to rely on other control information; another type of registration of the DSM or DEM generated by image matching and the reference DEM, calculating the spatial similarity transformation parameters between the two, and correcting the satellite image positioning parameters. However, this kind of method requires automatic matching of stereo satellite images to generate DEM in advance, which increases the computational time and application complexity and limits the usage conditions of satellite image data.
通过两组三维离散点集匹配以解算其对应的坐标变换参数,最为经典和广泛应用的方法被称为ICP(Iterative Closest Point)方法,ICP方法通过迭代搜索“最邻近”点作为“同名点”,进而通过解算确定两组空间点集之间的变换参数,迭代过程中最邻近点搜索计算量很大是该方法的最大缺点。By matching two sets of three-dimensional discrete point sets to solve the corresponding coordinate transformation parameters, the most classic and widely used method is called the ICP (Iterative Closest Point) method. ”, and then determine the transformation parameters between the two sets of spatial point sets through the solution, the biggest disadvantage of this method is the large amount of calculation of the nearest neighbor search in the iterative process.
发明内容SUMMARY OF THE INVENTION
本发明的目的是通过引入连接点到空间曲面距离的观测方程,将立体影像对应目标的空间曲面作为区域网平差中的三维控制信息,在立体影像区域网平差过程中同时满足连接点和对应曲面的配准约束,实现了立体影像高程及平面的高精度三维定位。The purpose of the present invention is to introduce the observation equation of the distance between the connection point and the space curved surface, and use the space curved surface of the corresponding target of the stereo image as the three-dimensional control information in the block adjustment, so as to satisfy the connection point and Corresponding to the registration constraints of the curved surface, the high-precision three-dimensional positioning of the stereo image elevation and plane is realized.
为了达到此目的,本发明提供的技术方案提供一种数字地面模型作为三维控制的影像区域网平差方法,其特征在于:包括如下步骤,In order to achieve this purpose, the technical solution provided by the present invention provides a digital ground model as a three-dimensional control image area network adjustment method, which is characterized in that: it includes the following steps:
步骤1,根据遥感影像的连接关系对影像进行排序;
步骤2,根据遥感影像成像模型建立连接点像点坐标观测方程;
步骤3,基于数字地面模型,建立空间曲面作为三维控制的观测方程,得到空间距离观测方程,实现方式如下,
将数字地面模型作为三维空间中的一个曲面,定义三维空间点到该曲面的距离,相应得到将空间曲面作为三维控制信息的观测方程,然后对所有连接点列出对应的距离观测方程,得到空间距离观测方程;Take the digital ground model as a surface in the three-dimensional space, define the distance from the point in the three-dimensional space to the surface, and obtain the observation equation that uses the space surface as the three-dimensional control information, and then list the corresponding distance observation equations for all connection points to obtain the space distance observation equation;
步骤4,根据离散点计算空间曲面方向导数,包括将数字高程模型对应空间曲面的局部近似为三角形三个顶点所确定的平面,对应的方向导数和距离则通过对应的平面方程计算得到,由此逐点计算并组成空间距离观测方程中的系数矩阵;Step 4: Calculate the directional derivative of the space surface according to the discrete points, including approximating the part of the spatial surface corresponding to the digital elevation model as the plane determined by the three vertices of the triangle, and the corresponding directional derivative and distance are calculated by the corresponding plane equation, thus Calculate and form the coefficient matrix in the spatial distance observation equation point by point;
步骤5,统计距离观测值的均值和标准差,实现方式如下,Step 5: Calculate the mean and standard deviation of the distance observations. The implementation is as follows:
根据数字地面模型精度及遥感影像分辨率估算连接点至空间曲面距离精度,以此为间隔计算连接点到数字地面模型对应空间曲面距离的统计直方图,基于统计直方图计算该距离范围内有效连接点至空间曲面距离的均值和标准差;According to the accuracy of the digital ground model and the resolution of the remote sensing image, the accuracy of the distance between the connection point and the space surface is estimated, and the statistical histogram of the distance between the connection point and the corresponding space surface of the digital ground model is calculated based on this interval, and the effective connection within the distance range is calculated based on the statistical histogram. The mean and standard deviation of the distance from the point to the space surface;
步骤6,根据步骤5所得结果,针对距离观测值的精度以及粗差对平差定位结果的影响,计算空间曲面三维控制观测值的权;Step 6, according to the result obtained in step 5, for the accuracy of the distance observation value and the influence of gross error on the adjustment positioning result, calculate the weight of the three-dimensional control observation value of the space surface;
步骤7,以步骤2建立的连接点像点坐标观测方程和步骤3建立的空间距离观测方程作为遥感影像区域网平差的联合观测方程,利用最小二乘原理组成法方程,解算数字地面模型对应空间曲面作为三维控制信息的遥感影像区域网平差,得到遥感影像定位参数及连接点物方坐标。Step 7: Use the coordinate observation equation of the connection points established in
而且,步骤1中,根据遥感影像间的连接点对影像进行快速排序,实现方式如下,Moreover, in
首先根据连接点建立每景影像的关联影像列表,计算每景影像相关联的影像数,作为影像的总连接数,并选择总连接数最大的影像作为第一景影像;First, establish a list of images associated with each scene image according to the connection points, calculate the number of images associated with each scene image, as the total number of connections of the images, and select the image with the largest total number of connections as the first scene image;
然后遍历已排序影像关联列表里的未排序影像,计算该影像与已排序影像所关联的共同影像数作为共同连接数,选择共同连接数最大或者总连接数最大的影像作为下一景影像;Then traverse the unsorted images in the sorted image association list, calculate the number of common images associated with the image and the sorted images as the number of common connections, and select the image with the largest number of common connections or the largest total number of connections as the next scene image;
重复搜索和计算直到所有影像都被排序。Repeat the search and calculation until all images are sorted.
而且,步骤2中,根据连接点像点坐标及遥感影像成像模型,采用多片前方交会方法计算连接点物方坐标初值,由此进一步得到连接点像点坐标观测方程,建立第一组观测方程,矩阵表达形式如下:Moreover, in
V1=B11X1+B12X2-l1,P1 V 1 =B 11 X 1 +B 12 X 2 -l 1 , P 1
其中,V1是像点坐标残差向量,X1是立体影像的定位参数改正向量,X2是连接点物方坐标改正向量,B11、B12分别为第一组观测方程中X1、X2对应的系数矩阵,由成像模型对应的一阶导数计算得到,l1是常数项向量,P1是对应的权矩阵;Among them, V 1 is the residual vector of image point coordinates, X 1 is the correction vector of the positioning parameter of the stereo image, X 2 is the correction vector of the object coordinate of the connection point, and B 11 and B 12 are respectively X 1 , B 12 in the first group of observation equations. The coefficient matrix corresponding to X 2 is calculated from the first-order derivative corresponding to the imaging model, l 1 is the constant term vector, and P 1 is the corresponding weight matrix;
设所有像点坐标为独立观测值,对应的权矩阵P1为对角矩阵;每一个连接点像点坐标观测值对应的权pi按下式计算得到,Let the coordinates of all image points be independent observations, and the corresponding weight matrix P 1 is a diagonal matrix; the weight p i corresponding to the coordinate observations of each connection point is calculated as follows,
其中,σ0为单位权中误差,m为该连接点对应的观测数,vxi和vyi为像点坐标在x和y方向的残差。Among them, σ 0 is the error in the unit weight, m is the number of observations corresponding to the connection point, and v xi and v yi are the residuals of the image point coordinates in the x and y directions.
而且,步骤3的实现方式如下,Moreover, the implementation of
选择三维直角坐标系作为物方空间坐标系,对应的三个坐标轴分别为X,Y,Z;将数字地面模型S作为三维空间中的一个曲面,表达为方程S(X,Y,Z)=0,三维空间点P到该曲面的距离d定义为,Select the three-dimensional Cartesian coordinate system as the object space coordinate system, and the corresponding three coordinate axes are X, Y, Z respectively; take the digital ground model S as a surface in the three-dimensional space, and express it as the equation S(X, Y, Z) =0, the distance d from the point P in the three-dimensional space to the surface is defined as,
其中,Xp,Yp,Zp为点P的空间坐标,S(Xp,Yp,Zp)为点P对应曲面方程的值,Sx,Sy,Sz为曲面方程相对于X,Y,Z的一阶方向导数;Among them, X p , Y p , Z p are the spatial coordinates of the point P, S(X p , Y p , Z p ) is the value of the surface equation corresponding to the point P, S x , S y , S z are the surface equation relative to The first-order directional derivatives of X, Y, Z;
由此导出将空间曲面作为三维控制信息的观测方程如下,From this, the observation equation that uses the space curved surface as the three-dimensional control information is derived as follows:
其中,ΔX,ΔY,ΔZ为连接点物方坐标改正量,pd为距离观测值的权,vd为观测残差;Among them, ΔX, ΔY, ΔZ are the corrections of the object coordinate of the connection point, p d is the weight of the distance observation value, and v d is the observation residual error;
对所有连接点列出对应的距离观测方程,得到空间距离观测方程,作为第二组观测方程,矩阵形式为,List the corresponding distance observation equations for all connection points, and obtain the spatial distance observation equations, as the second set of observation equations, the matrix form is,
V2=B22X2-l2,P2 V 2 =B 22 X 2 -l 2 ,P 2
其中,V2是距离观测值残差向量,X2是连接点物方坐标改正向量,B22为第二组观测方程中X2对应的系数矩阵,由空间曲面方程的一阶方向导数计算得到,l2是常数项向量,P2是对应的权矩阵;Among them, V 2 is the residual vector of the distance observation value, X 2 is the correction vector of the object coordinate of the connection point, and B 22 is the coefficient matrix corresponding to X 2 in the second group of observation equations, which is calculated by the first-order directional derivative of the space surface equation. , l 2 is the constant term vector, P 2 is the corresponding weight matrix;
而且,步骤5中,如果统计直方图有明显的峰值则计算最大峰值所对应的距离范围,如果没有明显峰值则统计距离相对集中的连接点对应的范围。Moreover, in step 5, if the statistical histogram has obvious peaks, the distance range corresponding to the maximum peak value is calculated, and if there is no obvious peak value, the range corresponding to the connection points with relatively concentrated distances is calculated.
而且,步骤6中,使用如下公式计算距离观测值的权值pd,Moreover, in step 6, the following formula is used to calculate the weight p d of the distance observation value,
其中,σ0为单位权中误差,exp(·)是自然数e的指数函数;α是一个小于1的正数,d是步骤3中计算得到的距离,ed和σd分别是距离观测值的均值和标准差;Among them, σ 0 is the error in the unit weight, exp( ) is the exponential function of the natural number e; α is a positive number less than 1, d is the distance calculated in
假设每一个连接点到数字地面模型的距离为独立观测值,权矩阵P2是一个对角矩阵,其对角线元素按照上式逐点计算得到。Assuming that the distance from each connection point to the digital ground model is an independent observation value, the weight matrix P 2 is a diagonal matrix, and its diagonal elements are calculated point by point according to the above formula.
而且,步骤7中,采用逐点消元法以消去未知数X2,组成只包括遥感影像定位参数改正向量X1的约化法方程;解此约化法方程并改正立体影像的定位参数,利用多片前方交会方法更新连接点物方坐标,实现两组未知数交叉解算。Moreover, in step 7, the point-by-point elimination method is used to eliminate the unknown X 2 , and a reduced equation that only includes the correction vector X 1 of the remote sensing image positioning parameter is formed; the reduced equation is solved and the positioning parameters of the stereo image are corrected, using The multi-slice forward intersection method updates the object coordinate of the connection point and realizes the intersection of two sets of unknowns.
本发明还提供一种数字地面模型作为三维控制的影像区域网平差系统,用于实现如上所述的一种数字地面模型作为三维控制的影像区域网平差方法。The present invention also provides a digital ground model as a three-dimensionally controlled image area network adjustment system for realizing the above-mentioned digital ground model as a three-dimensionally controlled image area network adjustment method.
与现有技术相比,本发明的优点和有益效果:Compared with the prior art, the advantages and beneficial effects of the present invention:
本发明通过在遥感影像区域网平差过程中直接使用数字高程模型或空间曲面作为三维控制信息,充分利用开源地理信息数据,有效消除遥感影像成像模型参数中的系统偏移,实现遥感影像在无地面控制点情况下的高精度三维定位。以数字地面模型作为三维控制应用为例,不仅可以提升高程定位精度,同时可以在无地面控制点情况下有效提高平面定位精度。In the present invention, the digital elevation model or the space curved surface is directly used as the three-dimensional control information in the adjustment process of the remote sensing image area network, and the open source geographic information data is fully utilized to effectively eliminate the system offset in the parameters of the remote sensing image imaging model, and realize the remote sensing image without High-precision 3D positioning in the case of ground control points. Taking the digital ground model as an example of a 3D control application, it can not only improve the elevation positioning accuracy, but also effectively improve the plane positioning accuracy in the absence of ground control points.
附图说明Description of drawings
图1为本发明实施例数字地面模型作为三维控制遥感影像区域网平差计算流程图。FIG. 1 is a flow chart of calculation of a regional network adjustment of a digital ground model as a three-dimensional control remote sensing image according to an embodiment of the present invention.
图2为本发明实施例三维空间任意点到空间曲面距离计算示意图。FIG. 2 is a schematic diagram of calculating a distance from an arbitrary point in a three-dimensional space to a space curved surface according to an embodiment of the present invention.
图3为本发明实施例连接点至空间曲面距离观测值权函数系数变化曲线示意图。FIG. 3 is a schematic diagram of a change curve of a weight function coefficient of an observation value of a distance between a connection point and a space curved surface according to an embodiment of the present invention.
具体实施方式Detailed ways
下面结合附图和实施例对本发明的技术方案作进一步说明。The technical solutions of the present invention will be further described below with reference to the accompanying drawings and embodiments.
本发明注意到,立体影像间的同名点(连接点)和空间曲面的格网点之间并不存在直接的对应关系,但是连接点和空间曲面格网都是对应目标的描述,两者之间的配准问题应该理解为三维空间点集与空间曲面的匹配。基于这样的基本事实,本发明通过引入相应的观测方程,将立体影像对应目标的空间曲面作为区域网平差中的三维控制信息,在立体遥感影像区域网平差过程中同时满足连接点和对应曲面的配准约束,实现了立体遥感影像的高精度三维定位。The present invention notices that there is no direct correspondence between the point of the same name (connection point) between the stereoscopic images and the grid point of the space surface, but the connection point and the space surface grid are both descriptions of the corresponding target, and the difference between the two The registration problem should be understood as the matching of the three-dimensional space point set and the space surface. Based on such a basic fact, the present invention takes the spatial curved surface of the corresponding target of the stereo image as the three-dimensional control information in the block adjustment by introducing the corresponding observation equation, and satisfies the connection point and the corresponding connection point at the same time during the block adjustment process of the stereo remote sensing image. The registration constraint of the curved surface realizes the high-precision 3D positioning of the stereo remote sensing image.
本发明实施例提供一种数字地面模型作为三维控制信息的遥感影像区域网平差方法,首先基于连接点建立遥感影像关联列表,并进一步对影像进行快速排序以减小法方程带宽。将连接点在三维物方空间至数字地面模型相应空间曲面的距离作为三维控制的观测值,通过局部拟合计算曲面的方向导数,由此建立相应的三维控制观测方程。统计距离观测值的均值和方差,构造相应的距离观测值权函数,在顾及距离观测值误差的同时有效消除粗差去区域网平差的影响。不仅可以提升遥感影像高程定位精度,同时可以在无地面控制点情况下有效提高平面定位精度。Embodiments of the present invention provide a remote sensing image regional network adjustment method using a digital ground model as three-dimensional control information. First, a remote sensing image association list is established based on connection points, and further images are quickly sorted to reduce the normal equation bandwidth. The distance between the connection point in the three-dimensional object space and the corresponding space surface of the digital ground model is taken as the observed value of the three-dimensional control, and the directional derivative of the surface is calculated by local fitting, thereby establishing the corresponding three-dimensional control observation equation. The mean and variance of the distance observations are counted, and the corresponding weight function of the distance observations is constructed, which effectively eliminates the influence of gross errors and block adjustment while taking into account the errors of distance observations. It can not only improve the elevation positioning accuracy of remote sensing images, but also effectively improve the plane positioning accuracy without ground control points.
参见图1,本发明实施例提供的空间曲面作为三维控制信息的立体影像定位方法,包括以下步骤:Referring to FIG. 1 , a method for positioning a stereoscopic image using a space curved surface as three-dimensional control information provided by an embodiment of the present invention includes the following steps:
步骤1,根据遥感影像的连接关系对影像进行排序。Step 1: Sort the images according to the connection relationship of the remote sensing images.
当遥感影像的分布不具备规则航带的特点时,传统的摄影测量区域网平差最小带宽计算及影像排序方法不适用于大规模遥感影像区域网平差。为有效减小法方程带宽,提高平差解算效率,原则上需要把相关联的影像尽可能排列在一起。When the distribution of remote sensing images does not have the characteristics of regular flight zones, the traditional minimum bandwidth calculation of photogrammetric block adjustment and image sorting methods are not suitable for large-scale remote sensing image block adjustment. In order to effectively reduce the bandwidth of the normal equation and improve the efficiency of the adjustment solution, in principle, it is necessary to arrange the related images together as much as possible.
本发明进一步提出根据遥感影像间的连接点对影像进行快速排序。具体技术方案为:首先根据连接点建立每景影像的关联影像列表,计算每景影像相关联的影像数,将其作为影像的总连接数,并选择总连接数最大的影像作为第一景影像;然后遍历已排序影像关联列表里的未排序影像,计算该影像与已排序影像所关联的共同影像数作为共同连接数,选择共同连接数最大或者总连接数最大的影像作为下一景影像;重复搜索和计算直到所有影像都被排序。The present invention further proposes to quickly sort the images according to the connection points between the remote sensing images. The specific technical solution is as follows: first, establish a list of images associated with each scene image according to the connection points, calculate the number of images associated with each scene image, take it as the total number of connections of the images, and select the image with the largest total number of connections as the first scene image ; Then traverse the unsorted images in the sorted image association list, calculate the number of common images associated with the image and the sorted images as the number of common connections, and select the image with the largest number of common connections or the largest total number of connections as the next scene image; Repeat the search and calculation until all images are sorted.
步骤2,根据遥感影像成像模型建立连接点像点坐标观测方程。
根据连接点像点坐标及遥感影像成像模型,采用多片前方交会方法计算连接点物方坐标初值,由此进一步得到连接点像点坐标观测方程,此时得到第一组观测方程,其矩阵表达形式如下:According to the image point coordinates of the connection point and the remote sensing image imaging model, the multi-slice forward intersection method is used to calculate the initial value of the object coordinate of the connection point, and the observation equation of the image point coordinate of the connection point is further obtained. The expression is as follows:
V1=B11X1+B12X2-l1,P1 (1)V 1 =B 11 X 1 +B 12 X 2 -l 1 , P 1 (1)
其中,V1是像点坐标残差向量,X1是立体影像的定位参数改正向量,X2是连接点物方坐标改正向量,B11、B12分别为第一组观测方程中X1、X2对应的系数矩阵,由成像模型对应的一阶导数计算得到,l1是常数项向量,P1是对应的权矩阵。Among them, V 1 is the residual vector of image point coordinates, X 1 is the correction vector of the positioning parameter of the stereo image, X 2 is the correction vector of the object coordinate of the connection point, and B 11 and B 12 are respectively X 1 , B 12 in the first group of observation equations. The coefficient matrix corresponding to X 2 is calculated from the first derivative corresponding to the imaging model, l 1 is the constant term vector, and P 1 is the corresponding weight matrix.
本发明假设所有像点坐标为独立观测值,其对应的权矩阵P1为对角矩阵。进一步地,每一个连接点像点坐标观测值对应的权pi按下式计算得到,The present invention assumes that all image point coordinates are independent observation values, and the corresponding weight matrix P 1 is a diagonal matrix. Further, the weight p i corresponding to the coordinate observation value of each connection point is calculated as follows:
其中,σ0为单位权中误差,m为该连接点对应的观测数,vxi和vyi为像点坐标在x和y方向的残差。Among them, σ 0 is the error in the unit weight, m is the number of observations corresponding to the connection point, and v xi and v yi are the residuals of the image point coordinates in the x and y directions.
步骤3,建立空间曲面作为三维控制的观测方程,得到空间距离观测方程。In
参见图2,实施例中选择三维直角坐标系作为物方空间坐标系,其对应的三个坐标轴分别为X,Y,Z。数字地面模型S作为三维空间中的一个曲面,其一般数学形式可表达为方程S(X,Y,Z)=0,三维空间点P到该曲面的距离d优选定义为,Referring to FIG. 2 , in the embodiment, a three-dimensional rectangular coordinate system is selected as the object space coordinate system, and the corresponding three coordinate axes are X, Y, and Z respectively. The digital ground model S is a curved surface in the three-dimensional space, and its general mathematical form can be expressed as the equation S(X, Y, Z)=0, and the distance d from the point P in the three-dimensional space to the curved surface is preferably defined as,
其中,Xp,Yp,Zp为点P的空间坐标,S(Xp,Yp,Zp)为点P对应曲面方程的值,Sx,Sy,Sz为曲面方程相对于X,Y,Z的一阶方向导数。具体实施时,也可以采用其他距离定义方式。Among them, X p , Y p , Z p are the spatial coordinates of the point P, S(X p , Y p , Z p ) is the value of the surface equation corresponding to the point P, S x , S y , S z are the surface equations relative to the The first directional derivatives of X, Y, Z. During specific implementation, other distance definition methods may also be used.
由此可以导出将空间曲面作为三维控制信息的观测方程如下,From this, the observation equation that takes the space curved surface as the three-dimensional control information can be derived as follows:
其中,ΔX,ΔY,ΔZ为连接点物方坐标改正量,pd为距离观测值的权,vd为观测残差。Among them, ΔX, ΔY, ΔZ are the corrections of the object coordinate of the connection point, p d is the weight of the distance observation value, and v d is the observation residual error.
对所有连接点列出对应的距离观测方程,即空间距离观测方程,此时得到第二组观测方程,其矩阵形式为,List the corresponding distance observation equations for all connection points, that is, the spatial distance observation equations. At this time, the second set of observation equations is obtained, and its matrix form is,
V2=B22X2-l2,P2 (5)V 2 =B 22 X 2 -l 2 ,P 2 (5)
其中,V2是距离观测值残差向量,X2是连接点物方坐标改正向量,B22为第二组观测方程中X2对应的系数矩阵,由空间曲面方程的一阶方向导数计算得到,l2是常数项向量,P2是对应的权矩阵。Among them, V 2 is the residual vector of the distance observation value, X 2 is the correction vector of the object coordinate of the connection point, and B 22 is the coefficient matrix corresponding to X 2 in the second group of observation equations, which is calculated by the first-order directional derivative of the space surface equation. , l 2 is the constant term vector, and P 2 is the corresponding weight matrix.
步骤4,根据离散点计算空间曲面方向导数。Step 4: Calculate the directional derivative of the space surface according to the discrete points.
实际应用中,数字地面模型对应空间曲面方程的完整数学表达式很难得到,一般采用局部拟合方式近似。当空间曲面的表达形式为三维格网时,可以通过双线性拟合或者双三次拟合以得到局部的近似曲面,并由此计算其方向导数及距离。进一步地,数字地面模型对应空间曲面可以通过一组三维离散点构成的空间三角网来表达,这种情况下,数字高程模型或空间曲面的局部近似为三角形三个顶点所确定的平面,其对应的方向导数和距离则可以通过对应的平面方程计算得到,由此可以逐点计算并组成观测方程(5)中的系数矩阵B22。In practical applications, it is difficult to obtain the complete mathematical expression of the spatial surface equation corresponding to the digital ground model, and a local fitting method is generally used for approximation. When the expression form of the space surface is a three-dimensional grid, a local approximate surface can be obtained by bilinear fitting or bicubic fitting, and its directional derivative and distance can be calculated accordingly. Further, the spatial surface corresponding to the digital ground model can be expressed by a spatial triangulation network composed of a set of three-dimensional discrete points. The directional derivative and distance of , can be calculated by the corresponding plane equation, so that the coefficient matrix B 22 in the observation equation (5) can be calculated point by point and formed.
步骤5,统计距离观测值的均值和标准差。Step 5: Count the mean and standard deviation of the distance observations.
根据数字地面模型精度及遥感影像分辨率估算连接点至空间曲面距离精度,以此为间隔计算连接点到数字地面模型对应空间曲面距离的统计直方图。如果该直方图有明显的峰值则计算最大峰值所对应的距离范围;如果没有明显峰值,则删除直方图两端一定数量(例如10%)分布相对离散的距离值,得到相对集中的连接点对应的距离范围。在此基础上统计计算该距离范围内有效连接点至空间曲面距离的均值ed和标准差σd,即距离观测值的均值和标准差。According to the accuracy of the digital ground model and the resolution of the remote sensing image, the accuracy of the distance between the connection point and the space surface is estimated, and the statistical histogram of the distance between the connection point and the corresponding space surface of the digital ground model is calculated based on this interval. If the histogram has obvious peaks, calculate the distance range corresponding to the largest peak; if there is no obvious peak, delete a certain number (such as 10%) of relatively discrete distance values at both ends of the histogram, and obtain relatively concentrated connection points corresponding to distance range. On this basis, the mean value ed and the standard deviation σ d of the distance between the effective connection point and the space surface within the distance range are calculated statistically, that is, the mean value and standard deviation of the distance observations.
步骤6,根据步骤5所得结果,针对距离观测值的精度以及粗差对平差定位结果的影响,,计算空间曲面三维控制观测值的权。Step 6, according to the result obtained in step 5, for the accuracy of the distance observation value and the influence of gross error on the adjustment and positioning result, calculate the weight of the three-dimensional control observation value of the space surface.
以格网或者离散点集表达的数字地面模型对应空间曲面和真实地形或目标曲面之间可能存在误差,由于数据获取方式不同,数字地面模型对应空间曲面和遥感影像上获取的连接点可能不完全一致。所以,距离观测值的权应该根据其统计精度确定,同时需要有效消除“粗差”对平差定位结果的影响。本发明实施例优选使用如下公式计算距离观测值的权值pd,There may be errors between the corresponding space surface of the digital ground model expressed by grid or discrete point set and the real terrain or target surface. Due to different data acquisition methods, the connection points obtained from the digital ground model corresponding to the space surface and remote sensing images may be incomplete. Consistent. Therefore, the weight of the distance observation value should be determined according to its statistical accuracy, and at the same time, the influence of "gross error" on the adjustment and positioning results should be effectively eliminated. In this embodiment of the present invention, the following formula is preferably used to calculate the weight p d of the distance observation value:
其中,σ0为单位权中误差,exp(·)是自然数e的指数函数。α是一个小于1的正数,d是步骤3中计算得到的距离,ed和σd分别是距离观测值的均值和标准差。Among them, σ 0 is the error in the unit weight, and exp(·) is the exponential function of the natural number e. α is a positive number less than 1, d is the distance calculated in
参见图3,选择α=0.03,可以计算得到权系数函数随(-ed)/σd比值的变化曲线,比值小于1时权系数约等于1,比值大于3.3时权系数接近0。可以理解,按这种方式构造的权函数可以同时顾及距离观测值的精度并消除粗差对平差定位结果的影响。Referring to Figure 3, selecting α=0.03, the change curve of the weight coefficient function with the ratio of (-ed )/σ d can be calculated . When the ratio is less than 1, the weight coefficient is approximately equal to 1, and when the ratio is greater than 3.3, the weight coefficient is close to 0. It can be understood that the weight function constructed in this way can simultaneously take into account the accuracy of the distance observations and eliminate the influence of gross errors on the adjustment and positioning results.
具体实施时,也可以采用其他方式实现计算距离观测值的权值。During specific implementation, other methods may also be used to realize the calculation of the weight of the distance observation value.
本发明假设每一个连接点到数字地面模型的距离为独立观测值,观测方程(5)对应的权矩阵P2是一个对角矩阵,其对角线元素可以按照(6)式逐点计算得到。The present invention assumes that the distance between each connection point and the digital ground model is an independent observation value, the weight matrix P2 corresponding to the observation equation ( 5 ) is a diagonal matrix, and its diagonal elements can be calculated point by point according to the formula (6). .
步骤7,组成约化法方程并解算。Step 7, form a reduced normal equation and solve it.
以步骤2建立的连接点像点坐标观测方程(1)和步骤3建立的空间距离观测方程(5)作为遥感影像区域网平差的联合观测方程,利用最小二乘原理组成法方程,解算数字地面模型对应空间曲面作为三维控制信息的遥感影像区域网平差,可以得到遥感影像定位参数及连接点物方坐标。进一步地,考虑到连接点物方坐标改正项数量一般很大,为提高解算效率,本发明实施例采用逐点消元法以消去未知数X2,组成只包括遥感影像定位参数改正向量X1的约化法方程。解此约化法方程并改正立体影像的定位参数,利用多片前方交会方法更新连接点物方坐标,实现两组未知数交叉解算。Taking the coordinate observation equation (1) of the connection points established in
具体实施时,本发明技术方案提出的方法可由本领域技术人员采用计算机软件技术实现自动运行流程,运行方法的系统装置例如存储本发明技术方案相应计算机程序的计算机可读存储介质以及包括运行相应计算机程序的计算机设备,也应当在本发明的保护范围内。During specific implementation, the method proposed by the technical solution of the present invention can be automatically run by those skilled in the art using computer software technology. The system device for running the method is, for example, a computer-readable storage medium storing a computer program corresponding to the technical solution of the present invention, and a computer that runs the corresponding computer program. The computer equipment of the program should also be within the protection scope of the present invention.
本发明实施例还提供一种数字地面模型作为三维控制的影像区域网平差系统,用于实现如上所述的一种数字地面模型作为三维控制的影像区域网平差方法。系统实现参考上述方法可以很方便的实现,本发明不予赘述。Embodiments of the present invention further provide a digital ground model as a three-dimensionally controlled image area network adjustment system, which is used to implement the above-mentioned digital ground model as a three-dimensionally controlled image area network adjustment method. The system implementation can be easily implemented with reference to the above method, which is not repeated in the present invention.
在一些可能的实施例中,提供一种数字地面模型作为三维控制的影像区域网平差系统,包括处理器和存储器,存储器用于存储程序指令,处理器用于调用处理器中的存储指令执行如上所述的一种数字地面模型作为三维控制的影像区域网平差方法。In some possible embodiments, a digital ground model is provided as a three-dimensionally controlled image area network adjustment system, including a processor and a memory, the memory is used to store program instructions, and the processor is used to call the stored instructions in the processor to execute the above The described digital ground model is used as a three-dimensionally controlled image area network adjustment method.
在一些可能的实施例中,提供一种数字地面模型作为三维控制的影像区域网平差系统,包括可读存储介质,所述可读存储介质上存储有计算机程序,所述计算机程序执行时,实现如上所述的一种数字地面模型作为三维控制的影像区域网平差方法。In some possible embodiments, a digital ground model is provided as a three-dimensionally controlled image area network adjustment system, including a readable storage medium on which a computer program is stored, and when the computer program is executed, A digital ground model as described above is implemented as an image block adjustment method for 3D control.
在详细说明的较佳实施例之后,熟悉该项技术人士可清楚地了解,在不脱离上述申请专利范围与精神下可进行各种变化与修改,凡依据本发明的技术实质对以上实施例所作任何简单修改、等同变化与修饰,均属于本发明技术方案的范围。且本发明亦不受说明书中所举实例实施方式的限制。After the preferred embodiments are described in detail, those skilled in the art can clearly understand that various changes and modifications can be made without departing from the scope and spirit of the above-mentioned patent application. Any simple modifications, equivalent changes and modifications belong to the scope of the technical solutions of the present invention. And the present invention is not limited by the example implementations exemplified in the description.
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