CN105447452A - A remote sensing sub-pixel mapping method based on the spatial distribution characteristics of ground objects - Google Patents
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Abstract
本发明公开了一种基于地物空间分布特征的遥感亚像元制图方法,首先,根据地物的空间几何特征将遥感影像划分为面状模式、线状模式和点状模式三种地物类型。其次,在空间依赖假设下,利用基于矢量边界的亚像元制图方法处理面状地物;利用线状地物模板亚像元制图方法处理线状地物;利用空间模式一致性匹配的亚像元制图方法处理点状地物。最后镶嵌三种空间模式的亚像元制图结果,得到影像的亚像元制图。本发明从理论上构建一个能同时处点线面状地物、基于地物空间分布特征的亚像元制图理论模型,模拟精度高。
The invention discloses a remote sensing sub-pixel mapping method based on the spatial distribution characteristics of ground objects. Firstly, according to the spatial geometric characteristics of the ground objects, remote sensing images are divided into three ground object types: planar mode, linear mode and point mode. Secondly, under the assumption of spatial dependence, use the vector boundary-based sub-pixel mapping method to deal with surface features; use the linear feature template sub-pixel mapping method to deal with linear features; The meta-mapping method deals with point objects. Finally, the sub-pixel mapping results of the three spatial modes are mosaiced to obtain the sub-pixel mapping of the image. The present invention theoretically constructs a sub-pixel cartographic theoretical model capable of simultaneous point-line-surface feature and based on the spatial distribution characteristics of the feature, and has high simulation precision.
Description
技术领域technical field
本发明涉及一种亚像元制图方法,属于地球空间信息技术领域。The invention relates to a sub-pixel mapping method, which belongs to the technical field of geospatial information.
背景技术Background technique
遥感科学与技术已广泛深入地应用于土地资源调查、水文过程模拟、景观生态、农业估产与灾害监测、林业资源管理、全球气候变化等领域(梅安新,2001;周成虎等,1999),高空间、时间与光谱分辨率的遥感影像及其产品是适应其在各领域中进一步研究应用的发展趋势(赵英时,2003)。然而在遥感影像获取过程中,由于外部环境的影响与内部传感器自身的局限性,致使影像中普遍存在混合像元(MixedPixel),从而限制了遥感影像的应用并制约了遥感信息的提取(DeJongandvanderMeer,2004;Fisher,1997)。尤其在遥感分类过程中,混合像元会使传统的硬分类(HardClassification)结果产生误差与不确定性(Atkinson,2009;柏延臣和王劲峰,2003;葛咏和王劲峰,2003;葛咏和李三平,2008)。为降低硬分类将混合像元仅指定为单一类别给结果带来的误差,软分类(SoftClassification)方法被提出并用一种更加科学合理方式来表达分类结果即以百比(也称软信息,分数影像)的形式描述各地物类别所占像元的面积比。尽管软分类结果较硬软分表达出更多合理的信息,但是各地物类别在混合像元内的空间位置却是未知的,这又带来了新的不确定性(Tatemetal,2002a;Ibrahimetal,2005),即亚像元类别属性空间位置的不确定。为兼顾软分类方法能科学合理地表达分类结果与硬类方法能明确别具体的空间位置类方法能明确别具体的空间位置的空间位置各自的优点,亚像元制图(或称超分辨率制,Sub-pixelMappingorSuper-resolutionMapping)概念被正式提出并备受广大学者的关注与重视(Atkinson,1997)。Remote sensing science and technology have been widely and deeply applied in fields such as land resource survey, hydrological process simulation, landscape ecology, agricultural yield estimation and disaster monitoring, forestry resource management, global climate change (Mei Anxin, 2001; Zhou Chenghu et al., 1999), high space Remote sensing imagery and its products with high, temporal and spectral resolutions are the development trend for further research and application in various fields (Zhao Yingshi, 2003). However, in the process of remote sensing image acquisition, due to the influence of the external environment and the limitations of the internal sensor itself, mixed pixels (MixedPixel) generally exist in the image, which limits the application of remote sensing images and restricts the extraction of remote sensing information (DeJongandvanderMeer, 2004; Fisher, 1997). Especially in the process of remote sensing classification, mixed pixels will cause errors and uncertainties in the results of traditional hard classification (Atkinson, 2009; Bai Yanchen and Wang Jinfeng, 2003; Ge Yong and Wang Jinfeng, 2003; Ge Yong and Li Sanping, 2008). In order to reduce the error caused by hard classification and specifying mixed pixels as a single category, the soft classification (SoftClassification) method was proposed and used a more scientific and reasonable way to express the classification results. Image) in the form of describing the area ratio of each object category in the pixel. Although the result of soft classification expresses more reasonable information than hard and soft classification, the spatial position of each object category in the mixed pixel is unknown, which brings new uncertainties (Tatemetal, 2002a; Ibrahimetal, 2005), that is, the uncertainty of the spatial location of sub-pixel category attributes. In order to take into account the advantages of soft classification methods that can scientifically and reasonably express the classification results and hard classification methods that can identify specific spatial locations, the sub-pixel mapping (or super-resolution mapping) , Sub-pixelMappingorSuper-resolutionMapping) concept was formally proposed and attracted the attention and attention of scholars (Atkinson, 1997).
遥感亚像元制图是利用低空间分辨率的软类结果,定位出混合像元内在给定的任意高空间分辨率下的地物空间分布图。亚像元制图研究的主要对象是混合像元,其产生的原因复杂多样,而不同的成像条件产生的混合像元类型也不同。按照混合像元内部不同的地物空间分布特征,比较公认一种类标准是将其分为两类(WoodcockandStrahler,1987):(1)H型混合像元(H-TypeorH-Resolution)指地物斑块大于一个像元的面积而在多种地物交界处产生的混合像元,其中的地物是具有空间相关性分布特征的H型地物,可近似认为其是面状模式的地物(AreaPattern,AP);(2)L型混合像元(L-TypeorL-Resolution)指地物斑块小于一个像元面积的大小以零散独立的形式分布在像元内部而产生的混合像元,其中的地物是具有空间异质性分布特征的L型地物,可近似认为其是点状模式的地物(PointPattern,PP)。然而,三大地理要素不仅包括H型混合像元中的面状地物和L型混合像元中的点状地物,还包括与面状和点状地物空间分布特征明显不同的具有细长连通性的线状地物(LinePattern,LP)。因此,线状地物的亚像元制图也是众多学者亟待关注与研究的重点之一。Remote sensing sub-pixel mapping is to use the soft class results of low spatial resolution to locate the spatial distribution map of ground objects at a given arbitrary high spatial resolution within the mixed pixel. The main object of sub-pixel mapping research is mixed pixels, the reasons for which are complex and diverse, and the types of mixed pixels produced by different imaging conditions are also different. According to the different spatial distribution characteristics of the ground objects in the mixed pixel, it is generally accepted that a kind of standard is to divide it into two types (Woodcock and Strahler, 1987): (1) H-Type or H-Resolution refers to the surface feature spot The area of the block is larger than one pixel and the mixed pixel is generated at the junction of various ground objects. The ground objects in it are H-type ground objects with spatial correlation distribution characteristics, which can be approximately considered as surface objects ( AreaPattern, AP); (2) L-type mixed pixel (L-Type or L-Resolution) refers to the mixed pixel generated by the surface patch smaller than the size of a pixel area distributed in the pixel in a scattered and independent form, where The ground objects in are L-shaped objects with spatial heterogeneity distribution characteristics, which can be approximated as point pattern objects (PointPattern, PP). However, the three major geographical elements include not only the surface features in the H-type mixed pixel and the point-like features in the L-shaped mixed pixel, but also the spatial distribution characteristics of the surface and point features that are obviously different from those with fine details. Long-connected linear features (LinePattern, LP). Therefore, the sub-pixel mapping of linear ground objects is also one of the focuses that many scholars need to pay attention to and study.
经过十余年的发展研究,国内外学者相继提出了许多优秀的亚像元制图算法,其中绝大多数亚像元制图方法主要是基于空间相关性最大来同时定位整幅影像中混合像元内的点、线与面状地物的空间分布,而单独针对L型混合像元中的点状以及线状地物制图的研究甚微。尽管基于空间相关性最大的亚像元制图算法对面状地物具有良好的处理效果,然而在处理具有异质性分布特征的点状地物时会使其产生点状地物的聚集性,并且在处理线状地物时往往难以保证线状地物的连通性空间分布特征和易产生“锯齿效应”。由此,亚像元制图技术发展至今促使人们意识到仅仅是基于空间相关性最大的亚像元制图方法会制约其进一步的发展应用,也使人们重视和研究混合像元内部点状和线状空间分布特征地物的制图问题。因此,在考虑H型混合像元中的面状地物亚像元制图的同时,必须高度重视和研究混合像元内部点状和线状空间分布特征地物的制图问题,从理论上分析研究点线面状地物产生不同类型混合像元的机理、性质和类型,从方法上探求能同时处理混合像元内点线面状地物亚像元制图问题的处理技术,从而弥补目前亚像元制图研究的不足,进一步提高在亚像元尺度下的精细土地覆被分类图的精度。After more than ten years of development and research, scholars at home and abroad have successively proposed many excellent sub-pixel mapping algorithms, most of which are mainly based on the maximum spatial correlation to simultaneously locate the mixed pixels in the entire image. The spatial distribution of point, line and surface objects in the L-shape mixed pixel is very little. Although the sub-pixel mapping algorithm based on the largest spatial correlation has a good processing effect on surface objects, it will cause the aggregation of point objects when dealing with point objects with heterogeneous distribution characteristics, and When dealing with linear features, it is often difficult to ensure the connectivity and spatial distribution characteristics of linear features, and it is easy to produce "sawtooth effect". Therefore, the development of sub-pixel mapping technology has prompted people to realize that only the sub-pixel mapping method based on the largest spatial correlation will restrict its further development and application, and it has also made people pay attention to and study the point and line inside the mixed pixel. Mapping problems of spatially distributed features. Therefore, while considering the sub-pixel mapping of surface objects in the H-type mixed pixel, it is necessary to attach great importance to and study the mapping of point-shaped and linear spatially distributed feature objects in the mixed pixel, and analyze and study them theoretically. The mechanism, properties and types of different types of mixed pixels produced by point, line and surface objects, and the processing technology that can simultaneously deal with the sub-pixel mapping of point, line and surface objects in mixed pixels, so as to make up for the current sub-image Insufficient meta-cartography research, further improving the accuracy of fine land cover classification maps at the sub-pixel scale.
发明内容Contents of the invention
本发明解决的技术问题:克服现有技术的不足,提供一种地物空间分布特征的遥感亚像元制图方法,从理论上构建一个能同时处点线面状地物、基于地物空间分布特征的亚像元制图理论模型,亚像元制图的结果视觉效果好且精度高。The technical problem solved by the present invention is to overcome the deficiencies of the prior art, provide a remote sensing sub-pixel mapping method for the spatial distribution characteristics of ground objects, and theoretically construct a method based on the spatial distribution of ground objects that can simultaneously locate points, lines, and planes. The characteristic sub-pixel mapping theoretical model, the result of sub-pixel mapping has good visual effect and high precision.
首先,对于分数影像C,利用区域生长模型和形状指数,判断出地物的空间分布模式(面状分布、线状分布和点状分布)。其次,利用基于边界多边形的面状地物亚像元制图法对分数影像的面状地物进行亚像元制图;利用线性模板匹配算法对分数影像的线状地物进行亚像元制图;利用地物空间模式一致性匹配算法对分数影像的点状地物进行亚像元制图。最后依次镶嵌面状地物、点状地物和线状地物的亚像元制图结果得到整幅分数影像C的亚像元制图结果,用邻域频数最大的地物类型代替属性为null像素的值。First, for the fractional image C, the spatial distribution mode (area distribution, linear distribution and point distribution) of ground objects is judged by using the region growth model and shape index. Secondly, the surface object sub-pixel mapping method based on the boundary polygon is used to carry out sub-pixel mapping of the surface object of the fractional image; the linear template matching algorithm is used to perform sub-pixel mapping of the linear object of the fractional image; The spatial pattern consistency matching algorithm of ground objects is used for sub-pixel mapping of point-like ground objects in fractional images. Finally, the sub-pixel mapping results of surface features, point features and linear features are mosaiced in turn to obtain the sub-pixel mapping results of the entire fractional image C, and the null pixel is replaced by the feature type with the largest neighborhood frequency value.
本发明的技术方案:一种基于地物空间分布特征的遥感亚像元制图方法,包括如下步骤:The technical scheme of the present invention: a remote sensing sub-pixel mapping method based on the spatial distribution characteristics of ground objects, comprising the following steps:
步骤1、对输入遥感影像进行预处理,然后再利用软分类方法获取遥感影像每个像元内每种地物类别所占的组分比例称为丰度或分数影像;所述每种地物类别是三种地物,即点状地物、线状地物和面状地物;Step 1. Preprocess the input remote sensing image, and then use the soft classification method to obtain the component proportion of each feature category in each pixel of the remote sensing image, which is called the abundance or fractional image; The category is three kinds of features, namely point features, linear features and area features;
步骤2、利用区域生长模型,将分数影像分割成的不同区域,采用有序数据存储结构存储分割后的各区域,便于计算各区域的面积、周长和边界;Step 2. Use the region growth model to divide the fractional image into different regions, and use an ordered data storage structure to store the divided regions, so as to facilitate the calculation of the area, perimeter and boundary of each region;
步骤3、划分区域的地物类型:计算分割后分数影像的区域的形状密度指数,根据相应的判别阈值,实现点状地物、线状地物和面状地物的划分;Step 3, the type of object in the divided area: calculate the shape density index of the area of the fractional image after segmentation, and realize the division of point-shaped objects, linear objects and planar objects according to the corresponding discrimination threshold;
步骤4、根据步骤3的三种地物划分结果,对线状地物混合像元采用基于线状地物模板匹配的亚像元制图方法,对面状地物混合像元采用基于矢量边界的亚像元制图方法,对点状地物混合像元采用基于空间相关性与模型匹配的亚像元制图方法,得到点状地物、线状地物、面状地物亚像元制图结果;Step 4. According to the division results of the three types of ground objects in step 3, use the sub-pixel mapping method based on linear feature template matching for the mixed pixels of linear features, and use the sub-pixel mapping method based on vector boundaries for the mixed pixels of surface features. The pixel mapping method adopts the sub-pixel mapping method based on spatial correlation and model matching for the mixed pixels of point objects, and obtains the sub-pixel mapping results of point objects, linear objects, and surface objects;
步骤5、镶嵌点状地物、线状地物、面状地物的亚像元制图结果,最终获得亚像元制图结果。Step 5: Mosaic the sub-pixel mapping results of point objects, linear objects, and planar objects, and finally obtain the sub-pixel mapping results.
所述步骤2利用区域生长模型对分数影像进行分割,区域生长模型的基本思想是将具有相似性质,包括灰度级、纹理、梯度信息的像素集合起来构成区域,最终达到影像分割的目的,具体实现过程如下:The step 2 uses the region growing model to segment the fractional image. The basic idea of the region growing model is to combine pixels with similar properties, including gray level, texture, and gradient information to form a region, and finally achieve the purpose of image segmentation. The implementation process is as follows:
(1)在分数影像中随机选取n个像元,作为种子;(1) Randomly select n pixels in the fractional image as seeds;
(2)扩展种子所在的区域,直到分数影像的所有像元都划分为特定的区域,对于种子的邻域像元,若其像元值与种子的像元值之差在规定的阈值ε,则扩展该邻域像元至当前种子所在的区域中。(2) Expand the area where the seed is located until all the pixels of the fractional image are divided into a specific area. For the neighboring pixels of the seed, if the difference between the pixel value and the pixel value of the seed is within the specified threshold ε, Then expand the neighborhood pixel to the area where the current seed is located.
为了确保线性地物的连通性,所述阈值ε取值为1/S,亚像元制图是从低空间分辨率遥感影像的软类结果,获得给定高空间分辨率下遥感土地分类图的过程,S是亚像元制图中由低分辨率到高分辨的放大因子。In order to ensure the connectivity of linear features, the threshold ε is set to 1/S, and the sub-pixel mapping is obtained from the soft class results of low spatial resolution remote sensing images to obtain the remote sensing land classification map at a given high spatial resolution process, S is the magnification factor from low resolution to high resolution in sub-pixel mapping.
所述步骤3中,计算分割后分数影像的区域的形状密度指数,根据相应的判别阈值,实现点状地物、线状地物和面状地物的划分具体实现为;In the step 3, calculate the shape density index of the region of the fractional image after segmentation, and realize the division of point-like features, linear features and planar features according to the corresponding discrimination thresholds as follows;
I=ρ1×Sshape+ρ2×Ddensity I=ρ 1 ×S shape +ρ 2 ×D density
其中,I表示形状密度指数;Sshape表示以区域的形状指数,L表示区域边界的像元个数,A表示区域的面积,Ddensity表示区域的密度指数,N表示区域外界矩形的像元个数,M表示区域外界矩形边界像元的个数,ρ1,ρ2表示权重指数,其中ρ1+ρ2=1;如果S≥2.3,D≤1.1,I≥1.6,该区域为线状地物;否则,该区域划分为面状地物;对于剩余的区域,分数值大于1/S2的像元划分为点状地物。Among them, I represents the shape density index; S shape represents the shape index of the region, L represents the number of pixels on the border of the region, A represents the area of the region, D density represents the density index of the region, and N represents the number of pixels in the outer rectangle of the region M is the number of rectangular boundary pixels outside the region, ρ 1 and ρ 2 represent the weight index, where ρ 1 +ρ 2 =1; if S≥2.3, D≤1.1, I≥1.6, the region is linear Otherwise, the area is divided into surface features; for the rest of the area, the pixels with a score greater than 1/S 2 are divided into point features.
所述步骤4,对线状地物亚像元制图的方法采用线状地物模板匹配方法,包括定义线性模板、匹配线性模板和线状地物的亚像元制图三个步骤,具体如下:Described step 4, the method for sub-pixel mapping of linear features adopts the linear feature template matching method, including three steps of defining linear templates, matching linear templates and sub-pixel mapping of linear features, specifically as follows:
(1)定义线性模板:为了能简洁地表示出尽可能齐全的线性地物,本发明利用20种3×3像素的线性模板,线性模板包括直线和曲线类型;(1) Define linear templates: in order to succinctly represent as complete linear features as possible, the present invention utilizes 20 linear templates of 3 × 3 pixels, and the linear templates include straight line and curve types;
(2)匹配线性模板:为了能寻找出最适合混合像元内的线性地物模板,本发明利用3×3像素模板与分数影像的3×3局部窗口的相关系数表示它们的相关性,计算公式如下。(2) Matching linear template: In order to find the most suitable linear object template in the mixed pixel, the present invention uses the correlation coefficient of the 3×3 pixel template and the 3×3 local window of the fractional image to represent their correlation, and calculates The formula is as follows.
其中,Fjc表示第C类地物分数影像的第j个像元,x,y表示该像元的坐标,Tk表示第k个线性模板,m,n表示3×3像素线性模板中像素的位置,并规定左上角像素的坐标为-1,-1,本发明采用使得rjk最大的线性模板作为该混合像元的最佳模板;(x+m,y+n)表示第j个像元的邻域像元,在C类地物分数影像的分数值;Among them, F jc represents the jth pixel of the C-th object score image, x, y represent the coordinates of the pixel, T k represents the kth linear template, m, n represent the pixels in the 3×3 pixel linear template position, and stipulate that the coordinates of the upper left corner pixel are -1, -1, the present invention uses the linear template that makes r jk the largest as the best template for the mixed pixel; (x+m, y+n) represents the jth Neighborhood pixels of the pixel, the fractional value of the fractional image of the C-type ground object;
(3)线性地物的亚像元制图:于Fjc,上述两个步骤确定了该混合像元内线状地物的最佳走向,即最佳线状模板的走向,定义像元j左上角坐标为(0,0),右下角坐标(1,1),使线性模板的大小与混合像元j相等,则线性模板中像素的坐标通过以下公式计算:(3) Sub-pixel mapping of linear features: at F jc , the above two steps determine the best direction of linear features in the mixed pixel, that is, the direction of the best linear template, and define the upper left corner of pixel j The coordinates are (0, 0), and the coordinates of the lower right corner are (1, 1), so that the size of the linear template is equal to the mixed pixel j, then the coordinates of the pixels in the linear template are calculated by the following formula:
混合像元内的各个亚像元的像素可用下述公式表示:The pixels of each sub-pixel in the mixed pixel can be expressed by the following formula:
其中,x,y为亚像元的行列数,S是放大因子即图像扩大的倍数,计算新像元即各个亚像元到最佳线性模板Tk中值为1像素的最小欧氏距离,对这些最小欧式距离进行升序排列,前Fcj×S2的亚像元的地物类型是C类地物。Among them, x, y are the number of rows and columns of sub-pixels, S is the magnification factor, that is, the multiple of image expansion, and the minimum Euclidean distance of 1 pixel from each sub-pixel to the best linear template Tk is calculated, Arrange these minimum Euclidean distances in ascending order, and the surface object type of the first F cj ×S 2 sub-pixel is the C type surface object.
所述步骤4对面状地物亚像元制图的方法采用基于矢量边界的亚像元制图方法包括以下四个步骤:Said step 4 adopts the sub-pixel mapping method based on the vector boundary for the method of surface feature sub-pixel mapping and includes the following four steps:
(1)对于每个混合像元用矢量边界提取模型,得到混合像元内边界上每条线段的长度和位置;(1) For each mixed pixel Use the vector boundary to extract the model to get the length and position of each line segment on the boundary of the mixed pixel;
(2)顺时针依次连接步骤(1)生成的每条线段,得到混合像元内地物C的初始多边形边界;(2) Connect each line segment generated in step (1) in a clockwise order to obtain the initial polygon boundary of the object C in the mixed pixel;
(3)删除步骤(2)得到的初始多边形边界与步骤(1)的每条线段重合部分,即得到最终的矢量边界;(3) Deleting the overlapping part of the initial polygon boundary obtained in step (2) and each line segment of step (1), that is, obtaining the final vector boundary;
(4)用射线判别法,给矢量边界内的地物进行赋值。(4) Use the ray discrimination method to assign values to the features within the vector boundary.
所述步骤4对点状地物采用的基于空间相关性与模型匹配的亚像元制图方法,利用莫兰指数分析点状地物的空间分布模式,分布模式包括分散、随机和聚集,由于点状地物的空间模式随着空间范围的大小而改变,本发明采用3×3像素窗口计算点状地物的莫兰指数,具体过程如下;The step 4 adopts the sub-pixel mapping method based on spatial correlation and model matching for point-like features, and uses the Moran index to analyze the spatial distribution pattern of point-like features. The spatial pattern of the point-like feature changes with the size of the space range. The present invention uses a 3×3 pixel window to calculate the Moran index of the point-like feature. The specific process is as follows;
(1)对C类地物类型的分数影像,首先采用面状地物亚像元制图法得到其亚像元制图的影像;(1) For the fractional image of the C-type ground object type, firstly, the surface object sub-pixel mapping method is used to obtain the sub-pixel mapping image;
(2)对C类地物类型的分数影像中的点状地物像元j,计算它所在局部窗口的莫兰指数值I;对于该混合像元通过亚像元制图方法获得的影像,计算混合像元j的3×3×S2的莫兰指数I';(2) For the point-like feature pixel j in the fractional image of the C-type feature type, calculate the Moran index value I of the local window where it is located; for the image obtained by the sub-pixel mapping method of the mixed pixel, calculate 3×3×S 2 Moran’s exponent I’ of mixed pixel j;
(3)若|I'-I|≤θ,θ为区分像元级点状地物与亚像元地状地物空间分布是否匹配的阈值,则该亚像元制图的影像为点状地物的最终结果;若|I'-I|≥θ,随机调整混合像元j的亚像元制图影像中两个像素的属性值,重新计算莫兰指数值,直到满足|I'-I|≤θ为止,得到C类地物类型的分数影像的点状地物亚像元制图结果。(3) If |I'-I|≤θ, θ is the threshold for distinguishing whether the spatial distribution of pixel-level point-like objects and sub-pixel-like objects matches, then the sub-pixel mapping image is point-like The final result of the object; if |I'-I|≥θ, randomly adjust the attribute values of two pixels in the sub-pixel mapping image of the mixed pixel j, and recalculate the value of Moran's index until |I'-I| ≤ θ, the sub-pixel mapping results of the point-like features of the fractional images of the C-type feature types are obtained.
所述步骤5将点状地物、线状地物、面状地物亚像元制图结果集成镶嵌获得最终的亚像元制图结果中的过程为:首先将面状地物的亚像元制图影像作为背景图层,依次叠加点状地物的亚像元制图结果和线状地物的亚像元制图影像;在镶嵌的过程中,如果亚像元制图影像的像素值为null,则用3×3窗口遍历邻域,出现次数最多的类别为该像素的类别属性。In step 5, the process of integrating and mosaicing the sub-pixel mapping results of point-like features, linear features, and area-like features to obtain the final sub-pixel mapping results is: firstly, the sub-pixel mapping of the area features The image is used as the background layer, and the sub-pixel mapping results of point objects and the sub-pixel mapping images of linear objects are superimposed in sequence; during the mosaic process, if the pixel value of the sub-pixel mapping image is null, use The 3×3 window traverses the neighborhood, and the category with the most occurrences is the category attribute of the pixel.
本发明与现有技术相比的优点在于:本发明是考虑地物空间分布模式(面状地物、线状地物和面状地物)的亚像元制图方法。对于面状地物的亚像元制图,其能保证面状地物空间相关性的最大化,能有效的提高面状地物的亚像元制图精度;对于线状地物的亚像元制图,其能保证线状地物的连通性,并能产生相对平滑的线性地物边界;对于点状地物的亚像元制图,它能保证亚像元制图结果中的点状地物分布模式与参考影像相似,进而提高制图精度。与传统方法相比,此算法从地学角度出发,充分考虑地物的空间分布模式(面状分布、线状分布和点状分布),针对不同空间模式的地物分类而治,解释性强,亚像元制图的结果视觉效果好精度高。Compared with the prior art, the present invention has the advantages that: the present invention is a sub-pixel mapping method considering the spatial distribution mode of ground objects (area ground objects, linear ground objects and plane land objects). For the sub-pixel mapping of surface objects, it can ensure the maximization of the spatial correlation of surface objects, and can effectively improve the accuracy of sub-pixel mapping of surface objects; for the sub-pixel mapping of linear objects , which can ensure the connectivity of linear objects and produce relatively smooth boundaries of linear objects; for sub-pixel mapping of point objects, it can ensure the distribution pattern of point objects in the results of sub-pixel mapping Similarity to reference imagery improves cartographic accuracy. Compared with the traditional method, this algorithm starts from the perspective of geosciences, fully considers the spatial distribution mode of ground objects (area distribution, linear distribution and point distribution), and is based on the classification of ground objects in different spatial patterns, and has strong explanatory power. The result of sub-pixel mapping has good visual effect and high precision.
附图说明Description of drawings
图1为本发明的主流程图;Fig. 1 is main flowchart of the present invention;
图2为本发明中的线性模板图,包括直线和曲线类型,代表现实世界中线状地物的走向。Fig. 2 is a linear template diagram in the present invention, including straight lines and curve types, representing the direction of linear features in the real world.
图3为本发明的实验数据,(a)为400*400像元TM影像的标准假彩色合成图像,是一种常见的,在植被、农作物和土地利用等遥感图像处理方面,这是最常用的波段组合。(b)为空间分辨率更高,与(a)空间范围一致的谷歌地球影像;Fig. 3 is the experimental data of the present invention, (a) is the standard false-color synthetic image of 400*400 picture element TM image, is a kind of common, in aspect remote sensing image processing such as vegetation, crops and land use, this is the most commonly used band combinations. (b) is a Google Earth image with higher spatial resolution and the same spatial extent as (a);
图4为TM影像软分类得到的四种地物的分数影像(依次为植被,水域,道路和为建筑物),分数影像的像元值是该混合像元内地物类型C所占的比例,最高值为1,最低值为0;Figure 4 shows the fractional images of four kinds of ground features obtained by soft classification of TM images (in order of vegetation, waters, roads, and buildings). The pixel value of the fractional image is the proportion of the type C of the ground features in the mixed pixel. The highest value is 1, and the lowest value is 0;
图5为四类地物分数影像中,经过分割后得到区域的地物空间分布模式,地物空间分布模式包括点状分布、线状分布和面状分布。其中(a)为植被,(b)为水域,(c)为道路,(d)为建筑物;Figure 5 shows the spatial distribution patterns of the regional objects after segmentation in the four types of surface object fractional images. The spatial distribution patterns of the objects include point distribution, linear distribution and planar distribution. Where (a) is vegetation, (b) is water, (c) is road, (d) is building;
图6是不同亚像元制图算法的对比,(a)为谷歌地球影像数据的SVM硬分类结果,(b)为SAM算法的亚像元制图结果,(c)为HIIPD算法的亚像元制图结果,(d)为PSA算法的亚像元制图结果,(e)为LPSA算法的亚像元制图结果,(f)为MRF算法的亚像元制图结果,(g)为MAP算法的亚像元制图结果,(h)为SPMv算法的亚像元制图结果,(i)为本发明所采用基于空间地物分布特征的亚像元制图方法。Figure 6 is a comparison of different sub-pixel mapping algorithms, (a) is the SVM hard classification result of Google Earth image data, (b) is the sub-pixel mapping result of the SAM algorithm, (c) is the sub-pixel mapping of the HIIPD algorithm Results, (d) is the sub-pixel mapping result of the PSA algorithm, (e) is the sub-pixel mapping result of the LPSA algorithm, (f) is the sub-pixel mapping result of the MRF algorithm, (g) is the sub-pixel mapping result of the MAP algorithm The result of meta-mapping, (h) is the sub-pixel mapping result of the SPMv algorithm, (i) is the sub-pixel mapping method based on the distribution characteristics of spatial objects used in the present invention.
具体实施方式detailed description
下面结合附图以及具体实施例进一步说明本发明。The present invention will be further described below in conjunction with the accompanying drawings and specific embodiments.
如图1所示,本发明的具体实施过程如下:As shown in Figure 1, the specific implementation process of the present invention is as follows:
步骤1、对遥感影像进行几何校正、大气校正及去噪等预处理,然后根据实地考察得到的训练样本将真实的遥感影像经过软分类得到每个像元内各种地物类别所占的比例,即分数影像,以此作为本发明的输入数据。由于软分类过程往往存在误差,因此为避免软分类过程的误差影响亚像元制图,本发明利用高分辨率影像来描述亚像元制图的具体实施过程。本发明利用谷歌地图的高分辨率影像,以此作为参考图用于验证亚像元制图方法的有效性。Step 1. Perform geometric correction, atmospheric correction, and denoising preprocessing on the remote sensing image, and then softly classify the real remote sensing image according to the training samples obtained from the field survey to obtain the proportion of various ground object categories in each pixel , that is, the fractional image, which is used as the input data of the present invention. Since errors often exist in the soft classification process, in order to prevent the errors in the soft classification process from affecting sub-pixel mapping, the present invention uses high-resolution images to describe the specific implementation process of sub-pixel mapping. The present invention utilizes the high-resolution image of Google Maps as a reference image to verify the effectiveness of the sub-pixel mapping method.
步骤2、利用区域生长模型对分数影像进行分割,具体过程如下:Step 2. Use the region growing model to segment the fractional image. The specific process is as follows:
(1)在分数影像中随机选取n个像元,作为种子;(1) Randomly select n pixels in the fractional image as seeds;
(2)扩展种子所在的区域,直到分数影像的所有像元都划分为特定的区域,对于种子的邻域像元,若其像元值与种子的像元值之差在规定的阈值ε,则扩展该邻域像元至当前种子所在的区域中。为了确保线性地物的连通性,所述阈值ε取值为1/S,S是亚像元制图中由低分辨率到高分辨的放大因子。(2) Expand the area where the seed is located until all the pixels of the fractional image are divided into a specific area. For the neighboring pixels of the seed, if the difference between the pixel value and the pixel value of the seed is within the specified threshold ε, Then expand the neighborhood pixel to the area where the current seed is located. In order to ensure the connectivity of linear objects, the threshold ε is set to 1/S, and S is the amplification factor from low resolution to high resolution in sub-pixel mapping.
步骤3、计算分数影像分割后区域的形状密度指数,计算公式如下:Step 3. Calculate the shape density index of the region after fractional image segmentation, and the calculation formula is as follows:
I=ρ1×Sshape+ρ2×Ddensity I=ρ 1 ×S shape +ρ 2 ×D density
其中,I表示形状密度指数;Sshape表示以区域的形状指数,L表示区域边界的像元个数,A表示区域的面积,Ddensity表示区域的密度指数,N表示区域外界矩形的像元个数,M表示区域外界矩形边界像元的个数,ρ1,ρ2表示权重指数,其中ρ1+ρ2=1;如果S≥2.3,D≤1.1,I≥1.6,该区域为线状地物;否则,该区域划分为面状地物;对于剩余的区域,分数值大于1/S2的像元划分为点状地物。Among them, I represents the shape density index; S shape represents the shape index of the region, L represents the number of pixels on the border of the region, A represents the area of the region, D density represents the density index of the region, and N represents the number of pixels in the outer rectangle of the region M is the number of rectangular boundary pixels outside the region, ρ 1 and ρ 2 represent the weight index, where ρ 1 +ρ 2 =1; if S≥2.3, D≤1.1, I≥1.6, the region is linear Otherwise, the area is divided into surface features; for the rest of the area, the pixels with a score greater than 1/S 2 are divided into point features.
步骤4、对三种地物采用相应的亚像元制图方法。Step 4. Use the corresponding sub-pixel mapping method for the three ground objects.
首先对于线状地物,采用线状地物模板匹配的亚像元制图方法。具体过程如下:Firstly, for linear objects, the sub-pixel mapping method of linear object template matching is adopted. The specific process is as follows:
(1)定义线性模板:为了能简洁地表示出尽可能齐全的线性地物,本发明利用20种3×3像素的线性模板,线性模板包括直线和曲线类型;(1) Define linear templates: in order to succinctly represent as complete linear features as possible, the present invention utilizes 20 linear templates of 3 × 3 pixels, and the linear templates include straight line and curve types;
(2)匹配线性模板:为了能寻找出最适合混合像元内的线性地物模板,本发明利用3×3像素模板与分数影像的3×3局部窗口的相关系数表示它们的相关性,计算公式如下。(2) Matching linear template: In order to find the most suitable linear object template in the mixed pixel, the present invention uses the correlation coefficient of the 3×3 pixel template and the 3×3 local window of the fractional image to represent their correlation, and calculates The formula is as follows.
其中,Fjc表示第C类地物分数影像的第j个像元,x,y表示该像元的坐标,Tk表示第k个线性模板,m,n表示3×3像素线性模板中像素的位置,并规定左上角像素的坐标为-1,-1,本发明采用使得rjk最大的线性模板作为该混合像元的最佳模板;(x+m,y+n)表示第j个像元的邻域像元,在C类地物分数影像的分数值;Among them, F jc represents the jth pixel of the C-th object score image, x, y represent the coordinates of the pixel, T k represents the kth linear template, m, n represent the pixels in the 3×3 pixel linear template position, and stipulate that the coordinates of the upper left corner pixel are -1, -1, the present invention uses the linear template that makes r jk the largest as the best template for the mixed pixel; (x+m, y+n) represents the jth Neighborhood pixels of the pixel, the fractional value of the fractional image of the C-type ground object;
(3)线性地物的亚像元制图:对于Fjc,上述两个步骤确定了该混合像元内线状地物的最佳走向,即最佳线状模板的走向,定义像元j左上角坐标为(0,0),右下角坐标(1,1),使线性模板的大小与混合像元j相等,则线性模板中像素的坐标通过以下公式计算:(3) Sub-pixel mapping of linear features: For F jc , the above two steps determine the best direction of linear features in the mixed pixel, that is, the direction of the best linear template, and define the upper left corner of pixel j The coordinates are (0, 0), and the coordinates of the lower right corner are (1, 1), so that the size of the linear template is equal to the mixed pixel j, then the coordinates of the pixels in the linear template are calculated by the following formula:
混合像元内的各个亚像元的像素可用下述公式表示:The pixels of each sub-pixel in the mixed pixel can be expressed by the following formula:
其中,x,y为亚像元的行列数,S是放大因子即图像扩大的倍数,计算新像元即各个亚像元到最佳线性模板Tk中值为1像素的最小欧氏距离,对这些最小欧式距离进行升序排列,前Fcj×S2的亚像元的地物类型是C类地物。Among them, x, y are the number of rows and columns of sub-pixels, S is the magnification factor, that is, the multiple of image expansion, and the minimum Euclidean distance of 1 pixel from each sub-pixel to the best linear template Tk is calculated, Arrange these minimum Euclidean distances in ascending order, and the surface object type of the first F cj ×S 2 sub-pixel is the C type surface object.
其次对于面状地物采用基于矢量边界的亚像元制图方法包括以下四个过程:Secondly, the vector boundary-based sub-pixel mapping method for surface objects includes the following four processes:
(1)对于每个混合像元用矢量边界提取模型,得到混合像元内边界上每条线段的长度和位置;(2)顺时针依次连接步骤(1)生成的每条线段,得到混合像元内C类地物的初始多边形边界;(3)删除步骤(2)得到的初始多边形边界与步骤(1)的每条线段重合部分,即得到最终的矢量边界;(4)用射线判别法,给矢量边界内的地物进行赋值。(1) For each mixed pixel Use the vector boundary extraction model to obtain the length and position of each line segment on the boundary of the mixed pixel; (2) connect each line segment generated in step (1) clockwise to obtain the initial polygon of the C-type ground object in the mixed pixel Boundary; (3) delete the initial polygonal boundary that step (2) obtains and each line segment coincidence part of step (1), obtain the final vector boundary; assignment.
最后对于点状地物采用模式匹配的亚像元制图方法。(1)分别计算分数影像混合像元j所在的3×3局部窗口的莫兰指数值I和3×3×S个亚像元的莫兰指数I'。(2)比较两个莫兰指数,如果他们的差别小于规定的阈值,当前亚像元影像即为点状地物的亚像元制图结果,否则随机调整像元j的亚像元制图影像中两个像素的属性值,重新计算莫兰指数值,直到满足两种莫兰指数的差小于阈值为止,得到点状地物的亚像元制图影像。Finally, the sub-pixel mapping method of pattern matching is adopted for point objects. (1) Calculate the Moran index value I of the 3×3 local window where the fractional image mixed pixel j is located and the Moran index I' of the 3×3×S sub-pixels. (2) Compare the two Moran indices, if their difference is less than the specified threshold, the current sub-pixel image is the sub-pixel mapping result of point-like features, otherwise randomly adjust the sub-pixel mapping image of pixel j The attribute values of two pixels, recalculate the Moran index value, until the difference between the two Moran indices is less than the threshold, and the sub-pixel mapping image of point-like features is obtained.
步骤5点状地物、线状地物、面状地物亚像元制图结果集成。镶嵌获得最终的亚像元制图结果中的过程为:首先将面状地物的亚像元制图影像作为背景图层,依次叠加点状地物的亚像元制图结果和线状地物的亚像元制图影像;在镶嵌的过程中,如果亚像元制图影像的像素值为null,则用3×3窗口遍历邻域,出现次数最多的类别为该像素的类别属性。Step 5: Integrate the sub-pixel mapping results of point objects, linear objects, and planar objects. The process of mosaicing to obtain the final sub-pixel mapping results is as follows: firstly, the sub-pixel mapping image of the surface features is used as the background layer, and the sub-pixel mapping results of the point features and the sub-pixel mapping results of the linear features are superimposed successively. Pixel cartographic image; in the process of mosaicing, if the pixel value of the sub-pixel cartographic image is null, a 3×3 window is used to traverse the neighborhood, and the category with the most occurrences is the category attribute of the pixel.
为对比本发明提出的SPMs方法与传统的亚像元制图方法在实验中的性能,该过程进行了8种亚像元制图方法的实验。实验结果分别为:图6中,(b)为SAM算法的亚像元制图结果,(c)为HIIPD算法的亚像元制图结果,(d)为PSA算法的亚像元制图结果,(e)为LPSA算法的亚像元制图结果,(f)为MRF算法的亚像元制图结果,(g)为MAP算法的亚像元制图结果,(h)为SPMv算法的亚像元制图结果,(i)为本发明所采用基于空间地物分布特征的亚像元制图方法。与其他发明相比,本发明对处理线状地物时的结果更准确,因为本发明充分考虑了线状地物的连通性。而且本发明也充分展现出了面状地物的细节,并保证了较高的准确性。In order to compare the performance of the SPMs method proposed by the present invention and the traditional sub-pixel mapping method in the experiment, the experiment of 8 sub-pixel mapping methods was carried out in this process. The experimental results are as follows: in Figure 6, (b) is the sub-pixel mapping result of the SAM algorithm, (c) is the sub-pixel mapping result of the HIPD algorithm, (d) is the sub-pixel mapping result of the PSA algorithm, (e ) is the sub-pixel mapping result of LPSA algorithm, (f) is the sub-pixel mapping result of MRF algorithm, (g) is the sub-pixel mapping result of MAP algorithm, (h) is the sub-pixel mapping result of SPMv algorithm, (i) is the sub-pixel mapping method based on the distribution characteristics of spatial objects used in the present invention. Compared with other inventions, the present invention has more accurate results when dealing with linear features, because the present invention fully considers the connectivity of linear features. Moreover, the present invention fully demonstrates the details of planar features and ensures higher accuracy.
本发明未详细阐述部分属于本领域技术人员的公知技术。Parts not described in detail in the present invention belong to the known techniques of those skilled in the art.
以上所述仅为本发明的优选实施例而已,并不用于限制本发明,对于本邻域的技术人员来说,本发明可以有各种更改和变化。凡在本发明的精神和原则之内,所作的任何修改、等同替换、改进等,均应包含在本发明的权利要求范围之内。The above descriptions are only preferred embodiments of the present invention, and are not intended to limit the present invention. For those skilled in the art, the present invention may have various modifications and changes. Any modifications, equivalent replacements, improvements, etc. made within the spirit and principles of the present invention shall be included within the scope of the claims of the present invention.
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