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CN104776845B - Autonomous star recognition method based on combination mode - Google Patents

Autonomous star recognition method based on combination mode Download PDF

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CN104776845B
CN104776845B CN201510213434.4A CN201510213434A CN104776845B CN 104776845 B CN104776845 B CN 104776845B CN 201510213434 A CN201510213434 A CN 201510213434A CN 104776845 B CN104776845 B CN 104776845B
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CN104776845A (en
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张华�
许录平
罗丽燕
程鹏飞
赵闻博
孙景荣
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Xidian University
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    • G01MEASURING; TESTING
    • G01CMEASURING DISTANCES, LEVELS OR BEARINGS; SURVEYING; NAVIGATION; GYROSCOPIC INSTRUMENTS; PHOTOGRAMMETRY OR VIDEOGRAMMETRY
    • G01C21/00Navigation; Navigational instruments not provided for in groups G01C1/00 - G01C19/00
    • G01C21/02Navigation; Navigational instruments not provided for in groups G01C1/00 - G01C19/00 by astronomical means
    • G01C21/025Navigation; Navigational instruments not provided for in groups G01C1/00 - G01C19/00 by astronomical means with the use of startrackers

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Abstract

本发明公开了一种基于组合模式的自主星识别方法,采用组合主星在径向模式和编码模式组合模式下的特征作为主星的特征向量;识别过程中,利用主星所对应的编码值缩小其在导航星特征库中的搜索范围,将主星的特征向量与导航星特征库中的向量进行匹配比较,完成星的自主识别。本发明中主星的组合模式具有平移旋转不变性,具有较高的识别率,使得更适合于星的自主识别;同时,具有较快的星识别速度,利于提高系统的灵敏性。

The invention discloses a main star identification method based on a combination mode, which adopts the characteristics of the combined main star in the combination mode of the radial mode and the coding mode as the feature vector of the main star; The search range in the navigation star feature library matches and compares the feature vector of the main star with the vector in the navigation star feature library to complete the autonomous identification of the star. The combination mode of the main star in the present invention has the invariance of translation and rotation, and has a higher recognition rate, making it more suitable for the independent recognition of stars; meanwhile, it has a faster star recognition speed, which is beneficial to improving the sensitivity of the system.

Description

一种基于组合模式的自主星识别方法A Method of Autonomous Satellite Identification Based on Combination Patterns

技术领域technical field

本发明属于导航技术领域,尤其涉及一种基于组合模式的自主星识别方法。The invention belongs to the technical field of navigation, and in particular relates to an autonomous star identification method based on a combined pattern.

背景技术Background technique

在天文导航定位中,对天空中恒星的定位以及识别,能够有效地确定飞行器的方向信息;基于科学研究和硬件成本方面考虑,自主星跟踪器被视为大多数飞行器上姿态测量设备的首选;一个自主星跟踪器能够自动地进行星的识别以及飞行器姿态的解算;星识别精度直接影响着飞行器姿态解算的精度。因此,在星敏感器中,有效、精确的星识别算法是非常关键的。In celestial navigation and positioning, the positioning and identification of stars in the sky can effectively determine the direction information of the aircraft; based on scientific research and hardware cost considerations, the autonomous star tracker is regarded as the first choice for attitude measurement equipment on most aircraft; An autonomous star tracker can automatically identify stars and calculate the attitude of the aircraft; the accuracy of star identification directly affects the accuracy of the attitude of the aircraft. Therefore, in the star sensor, effective and accurate star identification algorithm is very critical.

在过去的几十年里,许多学者致力于星识别算法的研究,基于此基础上的星跟踪器被广泛应用于飞行器的姿态解算和控制;星识别算法可以分成两个基本类别:子图同构和模式识别;在这些算法中,没有利用任何有关飞行器姿态的先验信息;在第一个分类中,星点作为图的顶点,使用星对间的平面距离,或者三颗星间的平面距离(可能还包括星点的亮度信息)作为星识别的特征,这类算法主要包括三角形算法、多边形算法和组匹配算法等等;而在第二类的算法中,使用视场内的某些观测星或者全部观测星来构建易于定义的模式,其代表算法有网格算法、神经网络算法和遗传算法。In the past few decades, many scholars have devoted themselves to the research of star recognition algorithm, and the star tracker based on this basis has been widely used in the attitude calculation and control of aircraft; the star recognition algorithm can be divided into two basic categories: subgraph Isomorphism and pattern recognition; in these algorithms, no prior information about the attitude of the vehicle is utilized; in the first classification, star points are used as vertices of the graph, using the planar distance between star pairs, or the distance between three stars The plane distance (may also include the brightness information of the star point) is used as the feature of star recognition. This type of algorithm mainly includes triangle algorithm, polygon algorithm and group matching algorithm, etc.; Some observation stars or all observation stars are used to construct an easy-to-define pattern, and its representative algorithms include grid algorithm, neural network algorithm and genetic algorithm.

近年来,由于模式识别的发展,其在星识别中得到了广泛的应用。张广军等人提出了基于星模式的径向和循环特征的全天自主星识别算法,这一算法与网格算法相比,具有更稳健的识别性能。在这一算法中,径向模式具有可靠的旋转不变特征。然而,该算法依赖于存储空间的大小以及识别时间的开销来获取更好的性能;同时,循环特征对位置噪声敏感,为了降低星识别算法的复杂度以及加快星识别的速度,Youngwoo Yoon提出了编码模式的思想,将模式匹配问题简化为整数值间的比较。然而,这一算法需要选取一个合适的邻星来构建星模式的基轴。而选取到合适的邻星的概率往往比较低,因此,若选取了不合适的邻星将会生成错误的基轴,从而导致星识别不成功。此外,其他的学者在模式识别的基础上提出了不同的星识别算法。In recent years, due to the development of pattern recognition, it has been widely used in star recognition. Zhang Guangjun et al. proposed an all-sky autonomous satellite identification algorithm based on the radial and circular characteristics of star patterns. Compared with the grid algorithm, this algorithm has more robust identification performance. In this algorithm, the radial mode has reliable rotation invariant characteristics. However, the algorithm relies on the size of the storage space and the overhead of recognition time to obtain better performance; at the same time, the cyclic feature is sensitive to position noise. In order to reduce the complexity of the star recognition algorithm and speed up the star recognition, Youngwoo Yoon proposed The idea of encoding patterns reduces the pattern matching problem to a comparison between integer values. However, this algorithm needs to select a suitable neighboring star to construct the base axis of the star pattern. The probability of selecting a suitable neighboring star is often relatively low. Therefore, if an unsuitable neighboring star is selected, a wrong base axis will be generated, which will lead to unsuccessful star identification. In addition, other scholars have proposed different star recognition algorithms on the basis of pattern recognition.

在星敏感器中,要求尽可能快速和可靠地实现星的识别,从而为后续的处理提高更精准的识别信息。随着深空探测的发展,对星识别算法的要求越来越高。因此建立快速、精确、鲁棒的星识别算法具有重要的意义。In the star sensor, it is required to realize star identification as quickly and reliably as possible, so as to improve more accurate identification information for subsequent processing. With the development of deep space exploration, the requirements for star recognition algorithms are getting higher and higher. Therefore, it is of great significance to establish a fast, accurate and robust star recognition algorithm.

发明内容Contents of the invention

本发明的目的在于提供一种基于组合模式的自主星识别方法,旨在解决现有的星识别算法识别率低,识别速度慢的问题。The purpose of the present invention is to provide an autonomous star recognition method based on combined patterns, aiming at solving the problems of low recognition rate and slow recognition speed of existing star recognition algorithms.

本发明是这样实现的,一种基于组合模式的自主星识别方法,该基于组合模式的自主星识别方法将主星的邻域范围由内向外划分为等间距的环带,主星与每一环带上的邻星的平均平面距离构成主星在径向模式下的特征;每一环带上邻星的个数,利用编码基数得到的编码值为主星在编码模式下的特征;组合主星在径向模式和编码模式下的特征构成主星在组合模式下的特征向量;将CCD的光轴逐一指向基本星表中的导航星,生成导航星所对应的特征向量,并且保存为数据库的形式,形成导航星的特征库;利用主星所对应的编码值缩小在导航星特征库中的搜索范围,将主星的特征向量与导航星特征库想中的向量进行匹配比较,计算主星的特征向量与导航星特征库中的向量的相似度,从而得到识别的结果。The present invention is realized in this way, a kind of main star identification method based on combination mode, this main star identification method based on combination mode divides the neighborhood range of main star into equidistant ring belts from inside to outside, main star and each ring belt The average planar distance of the adjacent stars on the above constitutes the characteristics of the main star in the radial mode; the number of adjacent stars on each ring, and the encoding value obtained by using the encoding base are the characteristics of the main star in the encoding mode; the combined main star in the radial mode The features in mode and encoding mode constitute the feature vector of the main star in the combination mode; point the optical axis of the CCD to the navigation stars in the basic star catalog one by one, generate the feature vector corresponding to the navigation star, and save it in the form of a database to form a navigation star feature library; use the code value corresponding to the main star to narrow the search range in the navigation star feature library, match and compare the feature vector of the main star with the vector in the navigation star feature library, and calculate the feature vector of the main star and the navigation star feature The similarity of the vectors in the library, so as to obtain the recognition result.

进一步,在得到主星在组合模式下的特征向量之前需要:Further, before obtaining the eigenvector of the main star in the combination mode, it is necessary to:

计算导航星在星图图像中的坐标:根据导航星在惯性坐标系中的坐标,依据一定的转换规则,计算导航星在星图图像中的坐标;Calculate the coordinates of the navigation star in the star map image: calculate the coordinates of the navigation star in the star map image according to the coordinates of the navigation star in the inertial coordinate system and according to certain conversion rules;

确定主星的星模式:取视场内的某一观测星作为主星,根据邻域半径的大小,确定主星的邻星,由主星以及邻星组成主星的星模式。Determine the star mode of the main star: take an observed star in the field of view as the main star, and determine the neighboring stars of the main star according to the size of the neighborhood radius, and the star mode of the main star is composed of the main star and the neighboring stars.

进一步,导航星在惯性坐标系中的坐标转换到星图图像中的坐标的转换公式如下:Further, the conversion formula of the coordinates of the navigation star in the inertial coordinate system to the coordinates in the star map image is as follows:

其中,(Nx,Ny)为星敏感器中CCD的分辨率,(FOVx,FOVy)为CCD视场的大小,(αii)分别为观测星的赤经赤纬,(α,δ)为CCD的光轴方向;CCD的光轴始终指向导航星在惯性坐标中的位置,此导航星投影到星图图像的中心。Among them, (N x , N y ) is the resolution of the CCD in the star sensor, (FOV x , FOV y ) is the size of the field of view of the CCD, (α i , δ i ) are the right ascension and declination of the observed star, respectively, (α, δ) is the direction of the optical axis of the CCD; the optical axis of the CCD always points to the position of the navigation star in the inertial coordinates, and the navigation star is projected to the center of the star map image.

进一步,选取视场中心或者靠近视场中心的观测星作为主星,以求获得主星完整的星模式;根据邻域的大小以及主星的位置,确定主星的邻星的位置信息,由主星以及邻星的位置信息构成主星的星模式。Further, select the observation star in the center of the field of view or close to the center of the field of view as the main star, in order to obtain the complete star pattern of the main star; according to the size of the neighborhood and the position of the main star, determine the position information of the main star’s neighboring star, and the main star and the neighboring star The position information of constitutes the star pattern of the main star.

进一步,主星在径向模式下的特征:将主星的邻域沿主星的径向方向平均划分为n个环带,统计每一环带上的邻星与主星的平均平面距离,使用n个环带上的平均平面距离作为主星在径向模式中的特征。Further, the characteristics of the main star in the radial mode: the neighborhood of the main star is divided into n rings on average along the radial direction of the main star, and the average plane distance between the adjacent star and the main star on each ring is counted, and n rings are used The mean in-plane distance along the belt is used to characterize the host star in the radial pattern.

进一步,每一环带上的邻星与主星的平均平面距离具体方法为:Further, the specific method of the average plane distance between the neighboring star and the main star on each ring is:

n个环带由内到外依次标记为C0,C1,…,Cn-1,主星的邻域半径为R,则第i(i=0,…,n-1)个环带的内边界和外边界分别表示为i*R/n和(i+1)*R/n,位于第i个环带上的邻星的坐标应该满足以下的条件:The n rings are marked as C0, C1, ..., Cn-1 from the inside to the outside, and the radius of the neighborhood of the main star is R, then the inner boundary of the i-th (i=0,...,n-1) ring and The outer boundaries are respectively expressed as i*R/n and (i+1)*R/n, and the coordinates of the neighboring star on the i-th ring should meet the following conditions:

i=0,…,n-1; i=0,...,n-1;

其中,(x0,y0)和(x,y)分别为主星和邻星在星图图像上的质心坐标,n为主星邻域被平均划分的环带数;Among them, (x0, y0) and (x, y) are the coordinates of the center of mass of the main star and the neighboring star on the star map image respectively, and n is the number of rings in which the main star neighborhood is equally divided;

每一环带上邻星的个数分别表示为Ni(i=0,…,n-1),主星与第i个环带上的邻星的平均平面距离表示为:The number of neighboring stars on each ring is expressed as Ni (i=0,...,n-1), and the average plane distance between the main star and the neighboring star on the i-th ring is expressed as:

i=0,…n-1; i=0,...n-1;

其中,(xij,yij)为第i个环带上第j个邻星在星图图像上的质心坐标,Ni为第i个环带上邻星的个数,n个环带上的平均平面距离构成主星在径向模式下的特征,其表示为:Among them, (xij, yij) is the barycenter coordinates of the jth neighboring star on the i-th ring on the star map image, Ni is the number of neighboring stars on the i-th ring, and the average plane of n rings The distance constitutes the characteristic of the host star in the radial mode, which is expressed as:

D_vector={D0,D1,…,Dn-1};D_vector={D 0 ,D 1 ,...,D n-1 };

进一步,主星在编码模式下的特征:统计每一环带上邻星的个数,使用预设的编码基数,根据一定的编码规则进行编码,得到的编码值作为主星在编码模式中的特征。Further, the characteristics of the main star in the encoding mode: count the number of neighboring stars in each ring, use the preset encoding base, and encode according to certain encoding rules, and the obtained encoding value is used as the feature of the main star in the encoding mode.

进一步,编码值的获取方法为:Further, the method to obtain the encoded value is:

第i个环带上的邻星的个数为Ni(i=1,…,n),则主星在编码模式下所对应的编码值表示为:The number of adjacent stars on the i-th ring is N i (i=1,...,n), then the corresponding encoding value of the main star in the encoding mode is expressed as:

其中b为编码基数。Where b is the encoding base.

进一步,主星在组合模式下的特征向量表示为:Further, the eigenvector of the main star in the combination mode is expressed as:

Vector={Vs,D_vector};Vector = {V s , D_vector};

在导航星特征库中,每一导航星所对应的记录表示为:In the navigation star feature database, the record corresponding to each navigation star is expressed as:

Record={id,Vector}={id,Vs,D_vector};Record={id,Vector}={id,V s ,D_vector};

其中,id为导航星的标号,Vs为导航星所对应的编码值,即导航星作为主星在编码模式下的特征,D_vector为导航星作为主星与其邻域内n个环带上的邻星的平均平面距离所构成的主星在径向模式下的特征。Among them, id is the label of the navigation star, V s is the code value corresponding to the navigation star, that is, the feature of the navigation star as the main star in the encoding mode, D_vector is the navigation star as the main star and the adjacent stars on n rings in its neighborhood Characterization of host stars in radial mode by mean planar distance.

进一步,主星识别的过程表示为:Further, the process of main star identification is expressed as:

result=min{diff{Vectors,Vectorc}},Vs∈Vectors,Vc∈Vectorc,Vc∈[Vs1,Vs2];result=min{diff{Vector s ,Vector c }},V s ∈Vector s ,V c ∈Vector c ,V c ∈[V s1 ,V s2 ];

其中,Vs为导航星s所对应的特征向量中的编码值,Vc为特征库中的导航星c所对应的特征向量中的编码值,ε1和ε2为编码值所容许的误差。Among them, V s is the encoding value in the feature vector corresponding to the navigation star s, V c is the encoding value in the feature vector corresponding to the navigation star c in the feature library, ε 1 and ε 2 are the allowable errors of the encoding value .

本发明提供的基于组合模式的自主星识别方法,导航星的特征向量表征了导航星在径向模式和编码模式下的特征,具有平移旋转不变性,适用于星敏感器中的自主星识别,星识别过程中无需搜索整个导航星特征库,能够快速地得到识别的结果,星识别的过程简化为特征向量间的单一比较。In the autonomous star identification method based on the combination mode provided by the present invention, the eigenvector of the navigation star characterizes the characteristics of the navigation star in the radial mode and the encoding mode, has translation and rotation invariance, and is suitable for the identification of the autonomous star in the star sensor. In the star recognition process, there is no need to search the entire navigation star feature library, and the recognition results can be obtained quickly. The star recognition process is simplified to a single comparison between feature vectors.

本发明的有益效果在于:The beneficial effects of the present invention are:

1、径向模式下的特征具有平移不变性,编码模式下的特征具有旋转不变性,基于组合模式下的特征集合了径向模式和编码模式的优点,适于复杂环境下的星识别;1. The features in the radial mode have translation invariance, and the features in the coding mode have rotation invariance. Based on the features in the combination mode, the advantages of the radial mode and the coding mode are combined, which is suitable for star recognition in complex environments;

2、利用主星所对应的编码值限定搜索的范围,提高了星识别的速度,增强了系统的灵敏性;2. Use the code value corresponding to the main star to limit the search range, improve the speed of star recognition, and enhance the sensitivity of the system;

3、基于组合模式的星识别方法简单、易于操作,简化了星识别的过程,为星识别提供了新的思路;3. The star recognition method based on combination mode is simple and easy to operate, which simplifies the process of star recognition and provides a new idea for star recognition;

4、本发明提供的基于组合模式的自主星识别方法,与现有技术在同一条件下,性能优于现有的金字塔星识别方法以及基于改进的网格的星识别算法;4. The autonomous star recognition method based on the combination mode provided by the present invention is better than the existing pyramid star recognition method and the star recognition algorithm based on the improved grid under the same conditions as the prior art;

5、本发明简单、快速和稳定的基于组合模式的星识别方法,能够为飞行器的姿态解算和导航定位提供更精准的识别信息。5. The simple, fast and stable star recognition method based on the combination mode of the present invention can provide more accurate recognition information for aircraft attitude calculation and navigation positioning.

附图说明Description of drawings

图1是本发明实施例提供的基于组合模式的自主星识别方法流程图;Fig. 1 is the flow chart of the autonomous satellite identification method based on combination mode provided by the embodiment of the present invention;

图2是本发明实施例提供的在星敏感器中恒星由惯性坐标系投影到星图图像平面坐标系的成像原理图;Fig. 2 is an imaging schematic diagram of a star projected from an inertial coordinate system to a star map image plane coordinate system in a star sensor provided by an embodiment of the present invention;

图3是本发明实施例提供的主星邻域划分的环带;Fig. 3 is the annulus of the main star neighborhood division provided by the embodiment of the present invention;

图4是本发明实施例提供的导航星特征库的结果示意图。Fig. 4 is a schematic diagram of the result of the navigation star feature library provided by the embodiment of the present invention.

具体实施方式detailed description

为了使本发明的目的、技术方案及优点更加清楚明白,以下结合实施例,对本发明进行进一步详细说明。应当理解,此处所描述的具体实施例仅仅用以解释本发明,并不用于限定本发明。In order to make the object, technical solution and advantages of the present invention more clear, the present invention will be further described in detail below in conjunction with the examples. It should be understood that the specific embodiments described here are only used to explain the present invention, not to limit the present invention.

下面结合附图及具体实施例对本发明的应用原理作进一步描述。The application principle of the present invention will be further described below in conjunction with the accompanying drawings and specific embodiments.

如图1所示,本发明实施例的基于组合模式的自主星识别方法包括以下步骤:As shown in Figure 1, the autonomous satellite identification method based on the combined pattern of the embodiment of the present invention comprises the following steps:

S101:计算导航星在星图图像中的坐标:根据导航星在惯性坐标系中的坐标,依据一定的转换规则,计算导航星在星图图像中的坐标;S101: Calculate the coordinates of the navigation star in the star map image: calculate the coordinates of the navigation star in the star map image according to the coordinates of the navigation star in the inertial coordinate system and according to certain conversion rules;

S102:确定主星的星模式:取视场内的某一观测星作为主星,根据邻域半径的大小,确定此主星的邻星,由主星以及其邻星组成主星的星模式;S102: Determine the star mode of the main star: take an observed star in the field of view as the main star, determine the neighboring star of the main star according to the size of the neighborhood radius, and the star mode of the main star is composed of the main star and its neighboring stars;

S103:提取主星在径向模式下的特征:将主星的邻域沿主星的径向方向平均划分为n个环带,统计每一环带上的邻星与主星的平均平面距离,使用n个环带上的平均平面距离作为主星在径向模式中的特征;S103: Extract the characteristics of the main star in the radial mode: divide the neighborhood of the main star into n rings on average along the radial direction of the main star, and count the average plane distance between the neighboring star and the main star on each ring, using n The mean plane distance on the ring is used as the characteristic of the host star in the radial mode;

S104:提取主星在编码模式下的特征:统计每一环带上邻星的个数,使用预设的编码基数,根据一定的编码规则进行编码,得到的编码值作为主星在编码模式中的特征;S104: Extract the characteristics of the main star in the encoding mode: count the number of neighboring stars on each ring, use the preset encoding base, encode according to certain encoding rules, and use the obtained encoding value as the feature of the main star in the encoding mode ;

S105:建立主星的特征向量:根据主星在径向模式和编码模式中的特征,得到主星在组合模式下的特征向量;S105: Establish the eigenvector of the main star: according to the characteristics of the main star in the radial mode and the encoding mode, obtain the eigenvector of the main star in the combined mode;

S106:生成导航星的特征数据库:将CCD的光轴逐一指向基本星表中导航星,生成导航星所对应的特征向量,并且保存为数据库的形式;S106: Generate a feature database of the navigation star: point the optical axis of the CCD to the navigation star in the basic star catalog one by one, generate a feature vector corresponding to the navigation star, and save it in the form of a database;

S107:确定星识别的结果:根据导航星特征向量的特点,利用主星所对应的编码值限定其在导航星特征库中的搜索范围,计算主星的特征向量与导航星特征库中的向量的相似度,从而得到识别的结果。S107: Determine the result of star recognition: according to the characteristics of the navigation star feature vector, use the code value corresponding to the main star to limit its search range in the navigation star feature library, and calculate the similarity between the feature vector of the main star and the vector in the navigation star feature library degree, so as to obtain the recognition result.

步骤S101中,所述的导航星是从基本恒星库中依据一定的规则选取的;使用第谷2星表作为基本恒星库;在星表中,有些星缺少亮度信息,而有些星缺少位置信息,这些星都不能用作导航星;由于星敏感器中CCD分辨率的限制,当两颗星相距较近时,不能明确地将其区分开来;设定当两颗星相隔少于20个像素(大约0.39°)时,被视为双星;双星也不能用于作为导航星;因此,在第谷2星表中,有6685颗恒星可以作为导航星,其星等范围从1.0mv到6.5mv;导航星在惯性坐标系中的坐标从基本恒星库中得到,所以导航星的位置信息组成导航星的基本数据库。In step S101, the navigation star is selected from the basic stellar database according to certain rules; the Tycho 2 star catalog is used as the basic stellar database; in the star catalog, some stars lack brightness information, and some stars lack position information , none of these stars can be used as a navigation star; due to the limitation of the CCD resolution in the star sensor, when the two stars are relatively close to each other, they cannot be clearly distinguished; when the distance between the two stars is less than 20 pixel (about 0.39°), it is regarded as a double star; the double star cannot be used as a navigation star; therefore, in the Tycho 2 star catalog, there are 6685 stars that can be used as a navigation star, and its magnitude ranges from 1.0mv to 6.5 mv; The coordinates of the navigation star in the inertial coordinate system are obtained from the basic star database, so the position information of the navigation star constitutes the basic database of the navigation star.

步骤S101中,导航星在惯性坐标系中的坐标转换到星图图像中的坐标的转换公式如下:In step S101, the conversion formula of the coordinate conversion of the navigation star in the inertial coordinate system to the coordinates in the star map image is as follows:

其中,(Nx,Ny)为星敏感器中CCD的分辨率,(FOVx,FOVy)为CCD视场的大小,(αii)分别为观测星的赤经赤纬,(α,δ)为CCD的光轴方向;CCD的光轴始终指向导航星在惯性坐标中的位置,此导航星投影到星图图像的中心。Among them, (N x , N y ) is the resolution of the CCD in the star sensor, (FOV x , FOV y ) is the size of the field of view of the CCD, (α i , δ i ) are the right ascension and declination of the observed star, respectively, (α, δ) is the direction of the optical axis of the CCD; the optical axis of the CCD always points to the position of the navigation star in the inertial coordinates, and the navigation star is projected to the center of the star map image.

步骤S102中由于CCD视场大小的限制,位于视场边缘的观测星缺失了一部分邻星,造成其星模式的大量几何信息缺失,所以其所对应的星模式是不完整的;故而,选取视场中心或者靠近视场中心的观测星作为主星,以求获得主星完整的星模式;根据邻域的大小以及主星的位置,确定主星的邻星的位置信息,由主星以及其邻星的位置信息构成主星的星模式。In step S102, due to the limitation of the size of the field of view of the CCD, some neighboring stars are missing from the observed stars located at the edge of the field of view, resulting in the loss of a large amount of geometric information of the star pattern, so the corresponding star pattern is incomplete; The observed star in the center of the field or close to the center of the field of view is used as the main star in order to obtain the complete star pattern of the main star; according to the size of the neighborhood and the position of the main star, the position information of the neighboring star of the main star is determined, and the position information of the main star and its neighboring star is determined. The star pattern that makes up the primary star.

步骤S103中围绕主星具有一定半径范围的圆形区域为主星的邻域,将主星的邻域沿主星的径向方向平均划分为n个环带,邻域内的邻星只属于某一环带,根据主星以及其邻星在星图图像上的位置信息,统计每一环带上的邻星与主星的平均平面距离;具体做法为:In step S103, a circular area with a certain radius around the main star is the neighborhood of the main star, and the neighborhood of the main star is divided into n rings on average along the radial direction of the main star, and the neighboring stars in the neighborhood only belong to a certain ring, According to the position information of the main star and its neighboring star on the star map image, calculate the average plane distance between the neighboring star and the main star in each ring; the specific method is:

设n个环带由内到外依次标记为C0,C1,…,Cn-1,主星的邻域半径为R,则第i(i=0,…,n-1)个环带的内边界和外边界分别表示为i*R/n和(i+1)*R/n;因此,位于第i个环带上的邻星的坐标应该满足以下的条件:Assuming that n rings are marked as C0, C1, ..., Cn-1 from inside to outside, and the radius of the neighborhood of the main star is R, then the inner boundary of the i-th (i=0,...,n-1) ring and the outer boundary are expressed as i*R/n and (i+1)*R/n respectively; therefore, the coordinates of the neighboring star on the i-th ring should satisfy the following conditions:

i=0,…,n-1; i=0,...,n-1;

其中,(x0,y0)和(x,y)分别为主星和邻星在星图图像上的质心坐标,n为主星邻域被平均划分的环带数;Among them, (x0, y0) and (x, y) are the coordinates of the center of mass of the main star and the neighboring star on the star map image respectively, and n is the number of rings in which the main star neighborhood is equally divided;

设每一环带上邻星的个数分别表示为Ni(i=0,…,n-1),主星与第i个环带上的邻星的平均平面距离可以表示为:Assuming that the number of neighboring stars on each ring is represented as Ni (i=0,...,n-1), the average plane distance between the main star and the neighboring star on the i-th ring can be expressed as:

i=0,…n-1 i=0,...n-1

其中,(xij,yij)为第i个环带上第j个邻星在星图图像上的质心坐标,Ni为第i个环带上邻星的个数。Among them, (xij, yij) is the barycenter coordinates of the jth neighbor star on the i-th ring on the star map image, and Ni is the number of neighboring stars on the i-th ring.

步骤S104中统计每一环带上邻星的个数,使用预设的编码基数,根据一定的编码规则进行编码,得到的编码值作为主星在编码模式中的特征;设第i个环带上的邻星的个数为Ni(i=1,…,n),则主星在编码模式下所对应的编码值可以表示为:In step S104, count the number of adjacent stars on each ring, use the preset coding base, encode according to certain coding rules, and obtain the coded value as the characteristic of the main star in the coding mode; The number of adjacent stars of is N i (i=1,...,n), then the code value corresponding to the main star in the coding mode can be expressed as:

其中b为编码基数。Where b is the encoding base.

步骤S105中结合径向模式和编码模式的优点,使用主星与每一环带上的邻星的平均平面距离来表述主星在径向模式中的特征,使用编码值来描述主星在编码模式中的特征,主星的特征向量由主星在径向模式和编码模式的组合模式下的特征来表示,故而主星在组合模式下的特征向量可以表示为:In step S105, combining the advantages of the radial mode and the encoding mode, the average plane distance between the main star and the neighboring stars on each ring is used to describe the characteristics of the main star in the radial mode, and the encoding value is used to describe the characteristics of the main star in the encoding mode. Features, the eigenvector of the main star is represented by the features of the main star in the combination mode of the radial mode and the coding mode, so the eigenvector of the main star in the combination mode can be expressed as:

Vector={Vs,D0,D1,…,Dn+1}={Vs,D_vector}。Vector={V s , D 0 , D 1 , . . . , D n+1 }={V s , D_vector}.

步骤S106中特征数据库保存了所有导航星所对应的特征向量信息;星敏感器中的CCD逐一指向所选择的导航星,得到视场内分布的观测星在星图图像上的位置,根据特征向量的生成规则,得到主星所对应的特征向量,并保存在导航星特征库中;导航星特征库中的向量,是在没有任何噪声的情况下,观测星作为主星所对应的特征向量;从上面的描述可知,在导航星特征库中,每一导航星所对应的记录可以表示为:In step S106, the feature database stores the corresponding eigenvector information of all navigation stars; the CCD in the star sensor points to the selected navigation star one by one, and obtains the positions of the observation stars distributed in the field of view on the star map image, according to the eigenvector According to the generation rules of the main star, the eigenvector corresponding to the main star is obtained and stored in the navigation star feature library; the vector in the navigation star feature library is the eigenvector corresponding to the observation star as the main star without any noise; from the above According to the description of , in the navigation star feature database, the record corresponding to each navigation star can be expressed as:

Record={id,Vector}={id,Vs,D_vector}Record={id,Vector}={id,V s ,D_vector}

其中,id为导航星的标号,Vs为导航星所对应的编码值,也即导航星作为主星在编码模式下的特征,D_vector为导航星作为主星与其邻域内n个环带上的邻星的平均平面距离所构成的主星在径向模式下的特征。Among them, id is the label of the navigation star, V s is the code value corresponding to the navigation star, that is, the feature of the navigation star as the main star in the encoding mode, and D_vector is the navigation star as the main star and the adjacent stars on n rings in its neighborhood The characteristics of the host star in the radial mode formed by the mean planar distance of .

步骤S107中所述的星识别过程为对于任意的一幅星图图像,选取星图图像上的某一观测星作为主星,构建此主星在径向模式和编码模式下的特征,利用主星所对应的编码值限定其在导航星特征库中的搜索范围,计算主星的特征向量与导航星特征库中的向量的相似度,判定两特征向量是否一致或者相似,从而确定此观测星是否为所对应的导航星,从而得到识别的结果。The star recognition process described in step S107 is for any star map image, select a certain observation star on the star map image as the main star, construct the characteristics of the main star in radial mode and encoding mode, and use the corresponding The coded value of the guide star limits its search range in the navigation star feature library, calculates the similarity between the feature vector of the main star and the vector in the navigation star feature library, and determines whether the two feature vectors are consistent or similar, so as to determine whether the observed star is the corresponding one. The navigation star, so as to get the recognition result.

在步骤S107中所述的限定星识别时在导航星特征库中的搜索范围即为利用主星所对应的编码值限定其在导航星特征库中的搜索范围。因噪声或者其他干扰因素的影响,观测星作为主星所对应的编码值与在没有任何噪声的情况下同一观测星作为主星所对应的编码值相比,具有一定的差异。星识别时,只允许特征库中在一定差异范围内的编码值所对应的导航星进行匹配识别,在限定的搜索范围内,使用少量的比较快速地得到识别的结果,而无需搜索整个导航星特征库。星识别的过程可以表示为:In step S107 , defining the search range in the navigation star feature library during star identification is to use the code value corresponding to the main star to limit its search range in the navigation star feature library. Due to the influence of noise or other interference factors, there is a certain difference between the code value corresponding to the observation star as the main star and the code value corresponding to the same observation star as the main star without any noise. When identifying stars, only the navigation stars corresponding to the coded values within a certain difference range in the feature library are allowed to be matched and identified. Within the limited search range, a small number of comparisons can be used to quickly obtain the recognition results without searching the entire navigation star Feature Library. The process of star recognition can be expressed as:

result=min{diff{Vectors,Vectorc}},Vs∈Vectors,Vc∈Vectorc,Vc∈[Vs1,Vs2]result=min{diff{Vector s ,Vector c }},V s ∈Vector s ,V c ∈Vector c ,V c ∈[V s1 ,V s2 ]

其中,Vs为导航星s所对应的特征向量中的编码值,Vc为特征库中的导航星c所对应的特征向量中的编码值,ε1和ε2为编码值所容许的误差。Among them, V s is the encoding value in the feature vector corresponding to the navigation star s, V c is the encoding value in the feature vector corresponding to the navigation star c in the feature library, ε 1 and ε 2 are the allowable errors of the encoding value .

如图2所示,导航星在星图图像中采用在x轴和y轴上的坐标来表征其在像平面上的位置;导航星从基本星表中根据一定的规则选取,导航星需要包含完整的位置信息以及亮度信息,并且相邻较近的恒星被视为双星,不能作为导航星;到达星敏感器的来自恒星的光线认为为平行光线,其在星敏感器的CCD像平面上弥散为一个亮点,CCD光轴所指向的恒星投影到像平面的中心;导航星在惯性坐标系中的坐标转换到星图图像中的坐标的转换公式如下:As shown in Figure 2, the navigation star uses coordinates on the x-axis and y-axis in the star map image to represent its position on the image plane; the navigation star is selected from the basic star list according to certain rules, and the navigation star needs to contain Complete position information and brightness information, and adjacent stars are regarded as binary stars, and cannot be used as navigation stars; the light from stars reaching the star sensor is considered as parallel light, which is diffused on the CCD image plane of the star sensor As a bright spot, the star pointed by the CCD optical axis is projected to the center of the image plane; the conversion formula of the coordinates of the navigation star in the inertial coordinate system to the coordinates in the star map image is as follows:

其中,(Nx,Ny)为星敏感器中CCD的分辨率,(FOVx,FOVy)为CCD视场的大小,(αii)分别为观测星的赤经赤纬,(α,δ)为CCD的光轴方向;CCD的光轴始终指向导航星在惯性坐标中的位置。Among them, (N x , N y ) is the resolution of the CCD in the star sensor, (FOV x , FOV y ) is the size of the field of view of the CCD, (α i , δ i ) are the right ascension and declination of the observed star, respectively, (α, δ) is the direction of the optical axis of the CCD; the optical axis of the CCD always points to the position of the navigation star in the inertial coordinates.

如图3所示,选取视场中心或者靠近视场中心的观测星作为主星Ss,根据主星的邻域大小R,位于邻域范围内的观测星被视为主星的邻星,将主星的邻域沿主星的径向方向平均划分为n个环带,邻域内的邻星只属于某一环带,根据主星以及其邻星在星图图像上的位置信息,统计每一环带上的邻星与主星的平均平面距离;具体做法为:As shown in Fig. 3, the observed star in the center of the field of view or close to the center of the field of view is selected as the main star S s , according to the neighborhood size R of the main star, the observed star within the neighborhood is regarded as the neighboring star of the main star, The neighborhood is divided into n rings on average along the radial direction of the main star, and the neighboring stars in the neighborhood only belong to a certain ring. According to the position information of the main star and its neighbors on the star map image, count the The average plane distance between the neighboring star and the main star; the specific method is:

设n个环带由内到外依次标记为C0,C1,…,Cn-1,主星的邻域半径为R,则第i(i=0,…,n-1)个环带的内边界和外边界分别表示为i*R/n和(i+1)*R/n;因此,位于第i个环带上的邻星的坐标应该满足以下的条件:Assuming that n rings are marked as C0, C1, ..., Cn-1 from inside to outside, and the radius of the neighborhood of the main star is R, then the inner boundary of the i-th (i=0,...,n-1) ring and the outer boundary are expressed as i*R/n and (i+1)*R/n respectively; therefore, the coordinates of the neighboring star on the i-th ring should satisfy the following conditions:

i=0,…,n-1; i=0,...,n-1;

其中,(x0,y0)和(x,y)分别为主星和邻星在星图图像上的质心坐标,n为主星邻域被平均划分的环带数;Among them, (x0, y0) and (x, y) are the coordinates of the center of mass of the main star and the neighboring star on the star map image respectively, and n is the number of rings in which the main star neighborhood is equally divided;

设每一环带上邻星的个数分别表示为Ni(i=0,…,n-1),主星与第i个环带上的邻星的平均平面距离可以表示为:Assuming that the number of neighboring stars on each ring is represented as Ni (i=0,...,n-1), the average plane distance between the main star and the neighboring star on the i-th ring can be expressed as:

i=0,…n-1 i=0,...n-1

其中,(xij,yij)为第i个环带上第j个邻星在星图图像上的质心坐标,Ni为第i个环带上邻星的个数。Among them, (xij, yij) is the barycenter coordinates of the jth neighbor star on the i-th ring on the star map image, and Ni is the number of neighboring stars on the i-th ring.

如图4所示,不同的导航星可能具有相同的编码值,而有的编码值只对应某一导航星,即导航星与编码值之间存在着一对一和一对多的关系;利用这一特点,提出了先根据观测星的编码值确定候选匹配结果,再利用主星与邻星间的平均平面距离从候选匹配结果中得到最终的识别结果;另外,由于噪声的影响,同一观测星的编码值会有一定的浮动,因此,在识别时,只需对比位于某一变动范围的编码值就可以得到候选匹配结果,而无需搜索整个导航星特征库;如此,就根据少量的比较,就可以得到识别的结果,加快了星识别的速度。As shown in Figure 4, different navigation stars may have the same code value, and some code values only correspond to a certain navigation star, that is, there is a one-to-one and one-to-many relationship between the navigation star and the code value; For this feature, it is proposed to determine the candidate matching results according to the code value of the observed star, and then use the average plane distance between the main star and the neighboring star to obtain the final identification result from the candidate matching results; in addition, due to the influence of noise, the same observed star The encoding value of will have certain fluctuations, so when identifying, only need to compare the encoding values in a certain range of variation to obtain candidate matching results without searching the entire navigation star feature library; thus, based on a small number of comparisons, The recognition result can be obtained, which speeds up the speed of star recognition.

以上所述仅为本发明的较佳实施例而已,并不用以限制本发明,凡在本发明的精神和原则之内所作的任何修改、等同替换和改进等,均应包含在本发明的保护范围之内。The above descriptions are only preferred embodiments of the present invention, and are not intended to limit the present invention. Any modifications, equivalent replacements and improvements made within the spirit and principles of the present invention should be included in the protection of the present invention. within range.

Claims (8)

1. it is a kind of based on integrated mode from primary recognition methodss, it is characterised in that
The contiguous range of primary is divided into into from inside to outside equidistant annulus, primary is put down with the average of adjacent star on each annulus Feature of the identity distance from composition primary under radial mode;The number of adjacent star, the coding obtained using code base on each annulus It is worth the feature under coding mode for primary;Feature of the combination primary under radial mode and coding mode constitutes primary in combination Characteristic vector under pattern;
Adjacent star on each annulus is apart from concrete grammar with the mean level of the sea of primary:
N annulus is labeled as successively from inside to outside C0, C1 ..., Cn-1, and the radius of neighbourhood of primary is R, then the i-th (i=0 ..., n- 1) inner boundary and external boundary of individual annulus is expressed as i*R/n and (i+1) * R/n, the seat of the adjacent star on i-th annulus Mark meets following condition:
i &times; R / n < ( x - x 0 ) 2 + ( y - y 0 ) 2 &le; ( i + 1 ) &times; R / n , i = 0 , ... , n - 1 ;
Wherein, (x0, y0) and (x, y) be respectively the center-of-mass coordinate of primary and adjacent star on star map image, n is put down for primary neighborhood The annulus number for dividing;
The number of adjacent star is expressed as Ni (i=0 ..., n-1) on each annulus, and the adjacent star on primary and i-th annulus is put down Plan range is expressed as:
D i = 1 N i &Sigma; j = 1 N i ( x i j - x 0 ) 2 + ( y i j - y 0 ) 2 , i = 0 , ... n - 1 ;
Wherein, (xij, yij) it is the center-of-mass coordinate of j-th adjacent star on star map image on i-th annulus, Ni is on i-th annulus The number of adjacent star, the mean level of the sea distance on n annulus constitutes feature of the primary under radial mode, is expressed as:
D_vector={ D0,D1,…,Dn-1};
The optical axis of CCD is pointed to one by one the nautical star in fundamental catalog, the characteristic vector corresponding to nautical star is generated, and is preserved For the form of data base, the feature database of nautical star is formed;
The hunting zone in nautical star feature database is reduced using the encoded radio in primary characteristic vector, by the characteristic vector of primary Matched with the characteristic vector in nautical star feature database, calculate feature in characteristic vector and the nautical star feature database of primary to The similarity of amount, so as to the result being identified.
2. as claimed in claim 1 based on integrated mode from primary recognition methodss, it is characterised in that obtaining primary in group Need before characteristic vector under syntype:
Calculate coordinate of the nautical star in star map image:Coordinate according to nautical star in inertial coodinate system, turns according to certain Rule is changed, coordinate of the nautical star in star map image is calculated;
Determine the star pattern of primary:The a certain observation star in visual field is taken as primary, according to the size of the radius of neighbourhood, primary is determined Adjacent star, the star pattern of primary is constituted by primary and adjacent star.
3. as claimed in claim 2 based on integrated mode from primary recognition methodss, it is characterised in that nautical star is sat in inertia The conversion formula of the coordinate in Coordinate Conversion to star map image in mark system is as follows:
x r = N x &times; cos &delta; sin ( &alpha; i - &alpha; ) 2 &times; tan ( FOV x / 2 ) &times; ( sin&delta; i &times; sin &delta; + cos&delta; i &times; cos &delta; &times; cos ( &alpha; i - &alpha; ) ) y r = N y &times; ( sin&delta; i &times; cos &delta; - cos&delta; i &times; sin &delta; &times; cos ( &alpha; i - &alpha; ) ) 2 &times; tan ( FOV y / 2 ) &times; ( sin&delta; i &times; sin &delta; + cos&delta; i &times; cos &delta; &times; cos ( &alpha; i - &alpha; ) ) ;
Wherein, (Nx,Ny) for the resolution of CCD in star sensor, (FOVx,FOVy) for CCD visual fields size, (αii) respectively To observe the right ascension declination of star, (α, δ) is the optical axis direction of CCD;The optical axis of CCD points to all the time nautical star in inertial coordinate Position, this nautical star projects to the center of star map image.
4. it is as claimed in claim 2 based on integrated mode from primary recognition methodss, it is characterised in that choose field of view center or Person near field of view center observation star as primary, the star pattern complete in the hope of obtaining primary;Size and master according to neighborhood The position of star, determines the positional information of the adjacent star of primary, and by the positional information of primary and adjacent star the star pattern of primary is constituted.
5. as claimed in claim 1 based on integrated mode from primary recognition methodss, it is characterised in that primary is in coding mode Under feature:The number of adjacent star on each annulus is counted, using default code base, is compiled according to certain coding rule Code, feature of the encoded radio for obtaining as primary in coding mode.
6. as claimed in claim 5 based on integrated mode from primary recognition methodss, it is characterised in that the acquisition side of encoded radio Method is:
The number of the adjacent star on i-th annulus is Ni(i=1 ..., n), then the corresponding encoded radio table under coding mode of primary It is shown as:
V s = &Sigma; i = 0 n - 1 N i b n - i - 1 ;
Wherein b is code base.
7. as claimed in claim 1 based on integrated mode from primary recognition methodss, it is characterised in that with reference to primary radially Feature under pattern and coding mode constitutes primary feature in the combined mode, primary characteristic vector table in the combined mode It is shown as:
Vector={ Vs,D_vector};
In nautical star feature database, the record corresponding to each nautical star is expressed as:
Record={ id, Vector }={ id, Vs,D_vector};
Wherein, id for nautical star label, VsEncoded radio corresponding to nautical star, i.e. nautical star are as primary in coding mode Under feature, mean level of the sea distances of the D_vector by nautical star as the adjacent star on primary and n annulus in neighborhood constitute Feature of the primary under radial mode.
8. as claimed in claim 1 based on integrated mode from primary recognition methodss, it is characterised in that the process of primary identification It is expressed as:
Result=min { diff { Vectors,Vectorc}},Vs∈Vectors,Vc∈Vectorc,Vc∈[Vs1,Vs2];
Wherein, VsThe encoded radio in characteristic vector corresponding to nautical star s, VcThe spy being characterized corresponding to the nautical star c in storehouse Levy the encoded radio in vector, ε1And ε2For encoded radio institute tolerance.
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