CN112630189B - Inland water body water quality inversion method based on improved QAA algorithm - Google Patents

Inland water body water quality inversion method based on improved QAA algorithm Download PDF

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CN112630189B
CN112630189B CN202010988458.8A CN202010988458A CN112630189B CN 112630189 B CN112630189 B CN 112630189B CN 202010988458 A CN202010988458 A CN 202010988458A CN 112630189 B CN112630189 B CN 112630189B
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厉小润
陈仲锴
王建军
王晶
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Zhejiang University ZJU
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Abstract

The invention provides an inland water body water quality inversion method based on an improved QAA algorithm. Firstly, based on the assumption that the inherent optical characteristics of the water bodies are similar between the adjacent points of the water bodies and the absorption coefficient and the backscattering coefficient are both greater than 0, an optimization objective function of the original QAA algorithm is defined. Secondly, combining the geographical position of the water body and the shape characteristics of the water body, selecting a part or all of remote sensing images of the water body as an interested area set, obtaining initial inherent optical quantity of the water body by using a QAA algorithm, and continuously adjusting parameters of the QAA algorithm until the value of a target function is minimum by approximating an optimization target. And then, calculating the inherent optical quantity of the water body by using the improved QAA algorithm, and constructing a water quality parameter inversion model by using the inherent optical quantity of the water body. And finally, obtaining a water quality parameter spatial distribution map. The invention can improve the QAA algorithm suitable for the ocean water body under the condition of no actually measured water body optical quantity data, so that the method can invert the inland water body, and solves the problems of high labor cost and economic cost, time and labor consumption, and incapability of quick and large-area inversion of the traditional water quality monitoring method.

Description

一种基于改进QAA算法的内陆水体水质反演方法An inversion method of inland water quality based on improved QAA algorithm

技术领域technical field

本发明属于测量领域,更具体地,涉及一种利用光学遥感数据获取内陆水体水质参数的方法。The invention belongs to the field of measurement, and more particularly, relates to a method for obtaining water quality parameters of inland water bodies by using optical remote sensing data.

背景技术Background technique

水是生态系统的血液,是人类生存与发展不可或缺的自然资源。充足、优质的水资源是生态系统健康发展的物质基础,也是国民经济和社会发展的物质保障。近几十年来,在我国工业化、城镇化的推进过程中,内陆水体的生态环境不断地发生变化,也催生了诸多生态环境保护与经济社会发展之间的矛盾。居民生活废水污染、农业污染、工业污染等对水环境造成了较大的损坏,使我国水环境的发展面临着很大的挑战。水质监测是水质评价和水污染防治的主要依据,快捷、准确的水质监测对于社会经济发展至关重要。传统水质监测方法需要在水体内设置采样点进行采样,并通过实验室分析获得相应的水质指标,整个过程耗时耗力、人力成本和经济成本高,无法对水体进行大面积监测。遥感水质反演技术的出现和发展为水质监测提供了新的选择。遥感水质反演利用经验法、半经验法或物理分析的方法等,选择合适的遥感数据,建立水质参数的遥感反演模型来反演水体中的水质参数,具有快捷准确、成本低、可大面积批量反演水质等优点。Water is the blood of the ecosystem and an indispensable natural resource for human survival and development. Sufficient and high-quality water resources are the material basis for the healthy development of ecosystems, as well as the material guarantee for national economic and social development. In recent decades, in the process of my country's industrialization and urbanization, the ecological environment of inland water bodies has been constantly changing, which has also spawned many contradictions between ecological environmental protection and economic and social development. Domestic waste water pollution, agricultural pollution, industrial pollution, etc. have caused great damage to the water environment, which makes the development of my country's water environment face great challenges. Water quality monitoring is the main basis for water quality evaluation and water pollution prevention and control. Fast and accurate water quality monitoring is crucial to social and economic development. The traditional water quality monitoring method needs to set up sampling points in the water body for sampling, and obtain the corresponding water quality indicators through laboratory analysis. The emergence and development of remote sensing water quality inversion technology provides new options for water quality monitoring. Remote sensing water quality inversion uses empirical, semi-empirical or physical analysis methods to select appropriate remote sensing data and establish a remote sensing inversion model for water quality parameters to invert water quality parameters in water bodies, which is fast, accurate, low-cost, and scalable. Area batch inversion of water quality and other advantages.

当前的水质反演方法有经验法、分析法、半分析法三类。其中经验法利用数据挖掘和机器学习的方法寻找水质数据和遥感反射率数据的关系,并建立反演模型,具备反演精度高、普适性强、可对任何水体进行反演等优点,其缺点为需要大量水质实测数据及遥感数据,且分析法不具备物理依据,不具备普适性;分析法需要对研究水体的物理光学特性进行详细精确的分析,建立水体的物理光学模型,其优点为具备很强的物理机理支撑,缺点为模型建立难度大;半分析法可视为经验法和分析法的结合,其优点为有一定物理依据且样本需求量不大,但对于内陆水体而言,半分析法普适性弱,需要针对不同的水体建立不同的模型。There are three types of water quality inversion methods: empirical method, analytical method and semi-analytical method. Among them, the empirical method uses data mining and machine learning methods to find the relationship between water quality data and remote sensing reflectance data, and establishes an inversion model, which has the advantages of high inversion accuracy, strong universality, and can invert any water body. The disadvantage is that it requires a large amount of water quality measured data and remote sensing data, and the analysis method has no physical basis and is not universal; the analysis method requires a detailed and accurate analysis of the physical and optical characteristics of the water body to be studied, and the establishment of a physical-optical model of the water body, its advantages In order to have strong physical mechanism support, the disadvantage is that it is difficult to establish the model; the semi-analytical method can be regarded as a combination of empirical method and analytical method, and its advantages are that it has a certain physical basis and the sample demand is not large, but it is not suitable for inland water bodies. In other words, the semi-analytical method is weak in generality and needs to establish different models for different water bodies.

基于QAA的水质反演算法是半分析反演方法的一种,QAA算法全称Quasi-Analytical Algorithm。QAA算法可以使用原始遥感反射率数据反演得到水体吸收系数、后向散射系数等固有光学量,并利用水体的固有光学量反演相应的水质参数。QAA算法提供了一种直接、高效的反演水体固有光学量的方法,根据国际海洋水色遥感组织的报告,QAA算法对于清澈海水以及沿海水域具有较高的适用性;但对于近岸以及内陆水体而言,由于内陆水体受近岸建筑物以及人为活动的影响,其适用性较差,需要对原始QAA算法做一定调整后才可以应用在内陆水体中。目前,基于改进QAA的内陆水体水质反演需要先测量水体的遥感反射率和固有光学量,并基于对水体遥感反射率和固有光学量数据的分析,设置QAA算法中的参考波长,调整QAA算法中的参数,再利用修改后的QAA算法实现对水质参数的反演。目前,现有基于改进QAA算法的内陆水体水质反演算法的不足主要包括:The water quality inversion algorithm based on QAA is a kind of semi-analytical inversion method. The full name of QAA algorithm is Quasi-Analytical Algorithm. The QAA algorithm can use the original remote sensing reflectivity data to invert to obtain the inherent optical quantities of the water body such as absorption coefficient and backscattering coefficient, and use the inherent optical quantities of the water body to invert the corresponding water quality parameters. The QAA algorithm provides a direct and efficient method for retrieving the intrinsic optical quantities of water bodies. According to the report of the International Ocean Color Remote Sensing Organization, the QAA algorithm has high applicability for clear seawater and coastal waters; but for nearshore and inland waters In terms of water bodies, since inland water bodies are affected by nearshore structures and human activities, their applicability is poor, and the original QAA algorithm needs to be adjusted before it can be applied to inland water bodies. At present, the inland water quality inversion based on improved QAA needs to measure the remote sensing reflectance and intrinsic optical quantity of the water body first, and based on the analysis of the remote sensing reflectance and intrinsic optical quantity data of the water body, set the reference wavelength in the QAA algorithm, adjust the QAA The parameters in the algorithm, and then use the modified QAA algorithm to invert the water quality parameters. At present, the shortcomings of the existing inland water quality inversion algorithms based on the improved QAA algorithm mainly include:

(1)现有基于改进QAA算法的内陆水体水质反演算法,为了得到水体固有光学量的反演模型,首先需要测量水体的吸收系数和后向散射系数等固有光学量。水体固有光学量需要与遥感数据进行准同时、准同地的测定,且需要足够的测量装置、人力成本、经济成本和时间成本的支撑,因此,无法满足模型建立方便性和快速性的要求。(1) In the existing inland water quality inversion algorithm based on the improved QAA algorithm, in order to obtain the inversion model of the inherent optical quantity of the water body, it is first necessary to measure the inherent optical quantities such as the absorption coefficient and the backscattering coefficient of the water body. The inherent optical quantity of water body needs to be measured quasi-simultaneously and quasi-situ with remote sensing data, and it needs the support of sufficient measuring devices, labor cost, economic cost and time cost. Therefore, it cannot meet the requirements of the convenience and rapidity of model establishment.

(2)现有基于改进QAA算法的内陆水体水质反演算法,为了实现对水质参数的反演,首先需要建立固有光学量的反演模型,且对于不同的水体而言,需要建立不同的固有光学量反演模型。即现有算法具有普适性较弱,反演得到的模型可迁移性差,对多个水体进行反演模型构建时重复工作量大等缺点。(2) In the existing inland water quality inversion algorithm based on the improved QAA algorithm, in order to realize the inversion of water quality parameters, it is first necessary to establish an inversion model of intrinsic optical quantities, and for different water bodies, it is necessary to establish different Intrinsic optical quantity inversion model. That is to say, the existing algorithms have the disadvantages of weak universality, poor transferability of the inversion model, and large repetitive workload when constructing inversion models for multiple water bodies.

发明内容SUMMARY OF THE INVENTION

针对现有技术在反演内陆水体水质参数时需要人为测量水体吸收系数和后向散射系数等固有光学量,模型构建过程较复杂,对人力成本、设备装置、时间成本要求高;构建多个水体的反演模型时,需要测量每个水体的固有光学量,并需要为每个水体调整QAA模型,模型推广难度大、重复工作量大等问题,本发明提出了一种基于改进QAA算法的内陆水体水质反演方法。In view of the fact that the existing technology needs to manually measure the inherent optical quantities such as water absorption coefficient and backscattering coefficient when inverting the water quality parameters of inland water, the model building process is complicated, and the cost of labor, equipment and time is high; In the inversion model of water body, it is necessary to measure the inherent optical quantity of each water body, and it is necessary to adjust the QAA model for each water body, which is difficult to popularize the model, and has a large amount of repetitive work. Inland water quality inversion method.

其中所述QAA算法,全称Quasi-Analytical Algorithm,QAA算法基于辐射传输原理,估算水体后向散射系数,是目前较为成熟的半分析模型方法。本发明中使用国际海洋水色遥感组织发布的第五版QAA算法,全称Quasi-Analytical Algorithm Version 5,即QAA_v5”。所述Adam算法,全称Adaptive Moment Estimation,即适应性矩估计,是一种可以替代传统随机梯度下降过程的一阶优化算法,它能基于训练数据迭代地更新模型权重。The QAA algorithm, the full name of Quasi-Analytical Algorithm, is a relatively mature semi-analytical model method based on the principle of radiative transfer to estimate the backscattering coefficient of water bodies. In the present invention, the fifth edition of the QAA algorithm issued by the International Ocean Water Color Remote Sensing Organization is used, the full name is Quasi-Analytical Algorithm Version 5, that is, QAA_v5". The Adam algorithm, the full name of which is Adaptive Moment Estimation, that is, adaptive moment estimation, is an alternative A first-order optimization algorithm for the traditional stochastic gradient descent process that iteratively updates model weights based on training data.

所述的改进QAA算法,是一种对适用于清澈海水以及沿海水域的QAA算法进行了改进后的方法,通过定义目标函数,并利用Adam算法调整QAA的参数,实现对目标函数的逼近和QAA算法的改进。该方法无需实测水体吸收系数和后向散射系数数据,即可实现对QAA算法中参数的调整,为利用半分析法进行内陆水体的水质反演提供了新的思路。The improved QAA algorithm is an improved method for the QAA algorithm suitable for clear seawater and coastal waters. By defining the objective function and adjusting the parameters of the QAA using the Adam algorithm, the approximation of the objective function and the QAA are realized. Algorithm improvements. This method can realize the adjustment of the parameters in the QAA algorithm without actually measuring the water absorption coefficient and backscattering coefficient data, which provides a new idea for the water quality inversion of inland water using the semi-analytical method.

本发明采用的技术方案是,所述基于改进QAA算法的内陆水体水质反演方法,包括步骤:The technical solution adopted in the present invention is that the inversion method for inland water body water quality based on the improved QAA algorithm includes the steps:

步骤1,获取内陆水体的遥感影像数据,并对遥感影像进行图像预处理,预处理的步骤一般包括:几何校正、辐射校正和大气校正;Step 1: Obtain remote sensing image data of inland water bodies, and perform image preprocessing on the remote sensing images. The preprocessing steps generally include: geometric correction, radiation correction, and atmospheric correction;

步骤2,使用改进的归一化差分水体指数,即NDWI,全称Normalized DifferenceWater Index,提取水体,并利用形态学处理方法对提取到的水体进行后处理,滤除非水体区域,平滑水体边界;Step 2, use the improved normalized difference water index, namely NDWI, the full name is Normalized Difference Water Index, extract the water body, and use the morphological processing method to post-process the extracted water body, filter the non-water body area, and smooth the water body boundary;

步骤3,结合水体地理位置和水体形状特点,选择部分或全部水体的遥感图像作为感兴趣区域集合;Step 3: Select remote sensing images of part or all of the water body as a collection of regions of interest in combination with the geographical location of the water body and the shape characteristics of the water body;

步骤4,定义目标函数,并利用Adam算法调整QAA算法中的参数,以实现对目标函数的优化,进一步地,实现对QAA算法的改进;Step 4, define the objective function, and use Adam algorithm to adjust the parameters in the QAA algorithm to realize the optimization of the objective function, and further, realize the improvement of the QAA algorithm;

步骤5,利用改进后的QAA算法反演水体吸收系数和后向散射系数;Step 5, use the improved QAA algorithm to invert the water absorption coefficient and the backscattering coefficient;

步骤6,利用水体固有光学量和水质参数实测数据完成水质参数反演模型训练,利用训练好的水质参数反演模型进行水体的水质参数反演,并获得水质参数空间分布。Step 6: Complete the training of the water quality parameter inversion model by using the inherent optical quantity of the water body and the measured data of water quality parameters, and use the trained water quality parameter inversion model to invert the water quality parameters of the water body, and obtain the spatial distribution of the water quality parameters.

总而言之,通过本发明构思的技术方案与现有技术相比,具有下列优点:All in all, compared with the prior art, the technical solution conceived by the present invention has the following advantages:

(1)本发明提出的基于改进QAA算法的内陆水体水质反演方法,无需提前获取水体的吸收系数、后向散射系数等固有光学量,而是利用了同一水体相邻位置之间固有光学性质的同质性和合理性,且水体吸收系数和后向散射系数应大于 0的性质,实现了无监督的对QAA算法的调整。(1) The inland water quality inversion method based on the improved QAA algorithm proposed by the present invention does not need to obtain the inherent optical quantities such as the absorption coefficient and backscattering coefficient of the water body in advance, but utilizes the inherent optical properties between adjacent positions of the same water body. The properties are homogenous and reasonable, and the water absorption coefficient and backscattering coefficient should be greater than 0, which realizes the unsupervised adjustment of the QAA algorithm.

(2)本发明提出的对原始QAA算法进行改进的方法,不受区域限制,可方便地推广至其他内陆水体的水质反演中。(2) The method for improving the original QAA algorithm proposed by the present invention is not limited by regions, and can be easily extended to the water quality inversion of other inland water bodies.

(3)本发明属于半分析法中的一种,相对于经验法而言,本发明不需要大量的实测水质数据和遥感数据,仅使用有限的数据即可达到一定的反演精度。(3) The present invention belongs to one of the semi-analytical methods. Compared with the empirical method, the present invention does not require a large amount of measured water quality data and remote sensing data, and only limited data can be used to achieve a certain inversion accuracy.

附图说明Description of drawings

图1是本发明实施例提供的基于改进QAA算法的内陆水体水质反演方法流程图。FIG. 1 is a flowchart of a method for inversion of inland water quality based on an improved QAA algorithm provided by an embodiment of the present invention.

图2是本发明实施例提供的研究区域位置和采样点分布图Fig. 2 is the location of the research area and the distribution map of sampling points provided by the embodiment of the present invention

图3是本发明实施例提供的遥感影像RGB波段图。FIG. 3 is an RGB band diagram of a remote sensing image provided by an embodiment of the present invention.

图4是本发明实施例提供的候选水体图像。FIG. 4 is a candidate water body image provided by an embodiment of the present invention.

图5是本发明实施例提供的矩形卷积核算子。FIG. 5 is a rectangular convolution operator provided by an embodiment of the present invention.

图6是本发明实施例提供的水陆分割效果图。FIG. 6 is an effect diagram of water and land segmentation provided by an embodiment of the present invention.

图7是本发明实施例提供的候选区域集合。FIG. 7 is a candidate region set provided by an embodiment of the present invention.

图8是本发明实施例提供的一阶线性模型拟合效果图。FIG. 8 is a fitting effect diagram of a first-order linear model provided by an embodiment of the present invention.

图9是本发明实施例提供的一阶线性模型悬浮物浓度空间分布图。FIG. 9 is a spatial distribution diagram of the concentration of suspended solids in a first-order linear model provided by an embodiment of the present invention.

具体实施方式Detailed ways

为了使本发明的目的、技术方案及优点更加清楚明白,下面结合附图及实施例对本发明提供的基于改进QAA算法的内陆水体水质反演方法进行详细说明。应当说明,此处所描述的具体实施例仅仅用于解释本发明,并不用于限定本发明。In order to make the objectives, technical solutions and advantages of the present invention clearer, the following describes the inland water quality inversion method based on the improved QAA algorithm provided by the present invention in detail with reference to the accompanying drawings and embodiments. It should be noted that the specific embodiments described herein are only used to explain the present invention, but not to limit the present invention.

本发明实施例,基于改进QAA算法的内陆水体水质反演方法,如图1所示,包括:The embodiment of the present invention, based on the improved QAA algorithm inversion method for inland water quality, as shown in Figure 1, includes:

步骤1,获取内陆水体的遥感影像数据,并对遥感影像进行图像预处理:包括辐射定标、几何校正、大气校正中的一种或多种。Step 1: Obtain remote sensing image data of inland water bodies, and perform image preprocessing on the remote sensing images: including one or more of radiometric calibration, geometric correction, and atmospheric correction.

步骤2,使用改进的归一化差分水体指数NDWI提取水体,并利用形态学处理方法对提取到的水体进行后处理,滤除非水体区域,平滑水体边界。Step 2, using the improved normalized differential water index NDWI to extract the water body, and use the morphological processing method to post-process the extracted water body, filter out the non-water body area, and smooth the water body boundary.

步骤3,结合水体地理位置和水体形状特点,选择部分或全部水体的遥感图像作为感兴趣区域集合。Step 3: Select remote sensing images of part or all of the water body as a collection of regions of interest in combination with the geographical location of the water body and the shape characteristics of the water body.

步骤4,定义目标函数,并利用Adam算法调整原始QAA算法中的参数,以实现对目标函数的优化,进一步地,实现对QAA算法的改进。Step 4, define the objective function, and use the Adam algorithm to adjust the parameters in the original QAA algorithm, so as to realize the optimization of the objective function, and further, realize the improvement of the QAA algorithm.

步骤5,利用改进后的QAA算法反演水体吸收系数和后向散射系数。Step 5, use the improved QAA algorithm to invert the water absorption coefficient and the backscattering coefficient.

步骤6,利用水体固有光学量和水质参数实测数据完成水质参数反演模型训练,利用训练好的水质参数反演模型进行水体的水质参数反演,并获得水质参数空间分布。Step 6: Complete the training of the water quality parameter inversion model by using the inherent optical quantity of the water body and the measured data of water quality parameters, and use the trained water quality parameter inversion model to invert the water quality parameters of the water body, and obtain the spatial distribution of the water quality parameters.

其中,步骤1,遥感影像的预处理步骤包括辐射定标、几何校正、大气校正中的一种或多种。本发明实施例提供长2394像素,宽460像素,共270个波段的遥感影像,如图2所示,为研究区域位置与采样点分布图,如图3所示,为预处理后的RGB波段遥感影像。Wherein, in step 1, the preprocessing step of the remote sensing image includes one or more of radiometric calibration, geometric correction, and atmospheric correction. The embodiment of the present invention provides a remote sensing image with a length of 2394 pixels, a width of 460 pixels, and a total of 270 bands. As shown in Figure 2, it is a map of the location of the research area and the distribution of sampling points. As shown in Figure 3, it is the preprocessed RGB band remote sensing images.

进一步地,步骤2包括:Further, step 2 includes:

步骤2-1,使用改进的归一化差分水体指数NDWI实现水陆分割,其中NDWI 全称Normalized Difference Water Index,得到水体区域:Step 2-1, use the improved normalized difference water index NDWI to achieve water and land segmentation, where the full name of NDWI is Normalized Difference Water Index, and the water body area is obtained:

Figure GDA0003496741570000051
Figure GDA0003496741570000051

式中,R750和R560分别为750波长处和560波长处的水体表观反射率,NDWI 介于-1到1之间,NDWI大于等于阈值0时,则该像元为候选水体。如图4所示,使用改进的归一化差分水体指数NDWI得到候选水体,候选水体存在水体分割不干净、水陆界线不平滑、部分水体与主体区域断连的问题,因此需要进行形态学后处理。In the formula, R 750 and R 560 are the apparent reflectivity of the water body at the wavelength of 750 and 560, respectively, the NDWI is between -1 and 1, and when the NDWI is greater than or equal to the threshold 0, the pixel is a candidate water body. As shown in Figure 4, the candidate water body is obtained by using the improved normalized differential water body index NDWI. The candidate water body has the problems of unclean water body segmentation, uneven land and water boundary, and some water bodies are disconnected from the main area. Therefore, morphological post-processing is required. .

步骤2-2,利用形态学处理方法对提取到的水体进行后处理的具体实现方式为:In step 2-2, the specific implementation method of post-processing the extracted water body by using the morphological processing method is as follows:

选择如图5所示的5*5卷积核,利用形态学开运算消除部分非水体区域与水体区域的连接;标记候选水体的连通域,按照面积大小滤除非水体的连通域;选择如图5所示的5*5卷积核使用形态学闭运算平滑水陆边界。图4和图6所示分别为形态学处理前和形态学处理后的水陆分割效果图,其中白色的部分为水体区域,黑色的部分为陆地区域。如图4所示,形态学处理前得到的水体区域中包含较多误分类的非水体区域,且水体边缘不够平滑;如图6所示为经过形态学处理后的水体,水体提取更加准确且边缘更光滑。Select the 5*5 convolution kernel as shown in Figure 5, and use the morphological opening operation to eliminate the connection between some non-water areas and water areas; mark the connected areas of candidate water bodies, and filter the connected areas of non-water bodies according to the size of the area; The 5*5 convolution kernel shown in 5 uses morphological closing operation to smooth the water-land boundary. Figure 4 and Figure 6 show the effect of water and land segmentation before and after morphological processing, respectively, where the white part is the water body area, and the black part is the land area. As shown in Figure 4, the water body area obtained before morphological processing contains many misclassified non-water body areas, and the water body edge is not smooth enough; Figure 6 shows the water body after morphological processing, the water body extraction is more accurate and Smoother edges.

步骤3,需要结合水体的地理位置、形状特点选择R个合适大小的区域组成感兴趣区域集合。选择区域时,应结合水体的地理位置、形状特点,选择距离岸边较远、受人类活动影响较小的区域,且所选择的感兴趣区域应覆盖水体的各个区域,例如对于湖泊应该包括湖泊的东、南、西、北、中各个区域,对于河流应该包括河流的上游和下游;理论上而言,在满足前两条原则的前提下,感兴趣区域面积应越大越好,出于对后续计算量的考虑,可适度减少区域集合覆盖的水体面积。如图7所示为本发明实施例选择的感兴趣区域集合,本发明实施例中选择了包括上下游,近南北两岸的4个区域作为感兴趣区域,即R=4,4个区域的大小均为100*50,0~3区域的中心坐标分别为(185,400),(355,870),(215, 1350),(135,1770)。In step 3, it is necessary to select R regions of suitable size to form a set of regions of interest in combination with the geographical location and shape characteristics of the water body. When selecting the area, the geographical location and shape characteristics of the water body should be combined, and the area far from the shore and less affected by human activities should be selected, and the selected area of interest should cover all areas of the water body. For example, lakes should include lakes. The east, south, west, north, and middle areas of the river should include the upstream and downstream of the river; theoretically, under the premise of satisfying the first two principles, the area of the area of interest should be as large as possible. Considering the amount of subsequent calculations, the area of the water body covered by the regional collection can be moderately reduced. Figure 7 shows a set of regions of interest selected by the embodiment of the present invention. In the embodiment of the present invention, four regions including upstream and downstream, and near the north and south banks are selected as regions of interest, that is, R=4, the size of the four regions All are 100*50, and the center coordinates of the 0-3 areas are (185,400), (355,870), (215, 1350), (135,1770) respectively.

步骤4,改进QAA算法,包括:Step 4, improve the QAA algorithm, including:

步骤4-1,定义目标函数,目标函数的具体表现形式如下:Step 4-1, define the objective function, the specific expression of the objective function is as follows:

Figure GDA0003496741570000061
Figure GDA0003496741570000061

其中R为感兴趣区域集合的大小,本实施例中取R=4;λ为波长,(rowi,coli) 为第i区域中第row行第col列的像元坐标,w为w0、w1、w2、w3、w4组成的向量,即w=[w0,w1,w2,w3,w4],w的初始值为w=[0.39,1.14,2.0,-2.4,-0.9];ρ为控制该目标函数中最后一项

Figure GDA0003496741570000062
重要性的权重,ρ的取值范围为0<ρ<1,本实施例中,ρ=0.005。
Figure GDA0003496741570000063
为λ波长,w参数时, (rowi,coli)坐标处的吸收系数,
Figure GDA0003496741570000064
为在λ波长,w参数时,(rowi,coli) 坐标处的后向散射系数,
Figure GDA0003496741570000065
为在参数w波长λ下,(rowi,coli) 坐标处的水体吸收系数与其8邻域内其他坐标处水体吸收系数差值平方的加权和,
Figure GDA0003496741570000066
为在参数w波长λ下,(rowi,coli)坐标处的水体后向散射系数与其8邻域内其他坐标处水体后向散射系数差值平方的加权和,以水体吸收系数为例,
Figure GDA0003496741570000067
的具体表现形式如下:where R is the size of the area of interest set, in this embodiment, R=4; λ is the wavelength, (row i , col i ) is the pixel coordinate of the row-th row and the col-th column in the i-th area, and w is w 0 , w 1 , w 2 , w 3 , w 4 , that is, w=[w 0 , w 1 , w 2 , w 3 , w 4 ], the initial value of w is w=[0.39, 1.14, 2.0, -2.4,-0.9]; ρ is the last item in the control objective function
Figure GDA0003496741570000062
The weight of importance, the value range of ρ is 0<ρ<1, in this embodiment, ρ=0.005.
Figure GDA0003496741570000063
is the wavelength of λ, the absorption coefficient at (row i , col i ) coordinates when the w parameter,
Figure GDA0003496741570000064
is the backscattering coefficient at (row i , col i ) coordinates at λ wavelength, w parameter,
Figure GDA0003496741570000065
is the weighted sum of the square of the difference between the absorption coefficient of the water body at the coordinate (row i , col i ) and the absorption coefficient of the water body at other coordinates in the 8 neighborhood under the parameter w wavelength λ,
Figure GDA0003496741570000066
is the weighted sum of the squares of the difference between the backscattering coefficient of the water body at the coordinate (row i , col i ) and the backscattering coefficient of the water body at other coordinates in the 8 neighborhood under the parameter w wavelength λ, taking the water body absorption coefficient as an example,
Figure GDA0003496741570000067
The specific manifestations are as follows:

Figure GDA0003496741570000068
Figure GDA0003496741570000068

Figure GDA0003496741570000071
Figure GDA0003496741570000071

其中,a(λ)和bbp(λ)分别为λ波长处的水体吸收系数和后向散射系数,a(λ)和 bbp(λ)通过QAA算法求出,其计算步骤如下:Among them, a(λ) and b bp (λ) are the water absorption coefficient and backscattering coefficient at the wavelength of λ, respectively, a(λ) and b bp (λ) are calculated by the QAA algorithm, and the calculation steps are as follows:

如公式(4)所示,利用水体上表面遥感反射率Rrs(λ)求得水体下表面遥感反射率rrs(λ)。As shown in formula (4), the remote sensing reflectivity R rs (λ) of the lower surface of the water body is obtained by using the remote sensing reflectivity R rs (λ) of the upper surface of the water body.

Figure GDA0003496741570000072
Figure GDA0003496741570000072

进一步地,如公式(5)所示,利用水体下表面遥感反射率rrs(λ),求得后向散射系数与后向散射系数和吸收系数之和的比值μ(λ)。Further, as shown in formula (5), using the remote sensing reflectivity r rs (λ) of the lower surface of the water body, the ratio μ(λ) of the backscattering coefficient to the sum of the backscattering coefficient and the absorption coefficient is obtained.

Figure GDA0003496741570000073
Figure GDA0003496741570000073

进一步地,如公式(6)所示,规定参考波长λ0为670nm。Further, as shown in formula (6), the reference wavelength λ 0 is specified to be 670 nm.

λ0=670nm (6)λ 0 =670nm (6)

进一步地,如公式(7)所示,求得参考波长λ0处的水体吸收系数,其中aw0) 为纯水在参考波长λ0处的水体吸收系数,w0,w1为需要调整的两个参数,其初始值为w0=0.39,w1=1.14。Further, as shown in formula (7), the water absorption coefficient at the reference wavelength λ 0 is obtained, where a w0 ) is the water absorption coefficient of pure water at the reference wavelength λ 0 , w 0 , w 1 are The initial values of the two parameters that need to be adjusted are w 0 =0.39 and w 1 =1.14.

Figure GDA0003496741570000074
Figure GDA0003496741570000074

进一步地,如公式(8)所示,求得参考波长λ0处的水体后向散射系数,其中 bbw0)为纯水在参考波长λ0处的水体后向散射系数。Further, as shown in formula (8), the backscattering coefficient of the water body at the reference wavelength λ 0 is obtained, where b bw0 ) is the backscattering coefficient of the water body of pure water at the reference wavelength λ 0 .

Figure GDA0003496741570000075
Figure GDA0003496741570000075

进一步地,如公式(9)所示,求得颗粒物后向散射光谱斜率Y,其中w2,w3和w4为需要调整的三个参数,其初始值为w2=2.0,w3=-2.4,w4=-0.9。Further, as shown in formula (9), the slope Y of the backscattering spectrum of the particulate matter is obtained, wherein w 2 , w 3 and w 4 are three parameters that need to be adjusted, and the initial values are w 2 =2.0, w 3 = -2.4, w 4 =-0.9.

Figure GDA0003496741570000081
Figure GDA0003496741570000081

进一步地,如公式(10)所示,求得所有波长处的水体后向散射系数bbp(λ),如公式(11)所示,求得所有波长处的水体吸收系数a(λ)。Further, as shown in formula (10), the backscattering coefficient b bp (λ) of water body at all wavelengths is obtained, and as shown in formula (11), the absorption coefficient a(λ) of water body at all wavelengths is obtained.

Figure GDA0003496741570000082
Figure GDA0003496741570000082

Figure GDA0003496741570000083
Figure GDA0003496741570000083

步骤4-2,设定最大迭代次数为500,经过500轮迭代,调整参数w的值,实现对QAA算法的改进。最终,得到参数w的结果为w= [-0.64367,0.40317,-0.85593,241.39779,-5.5001]。Step 4-2, set the maximum number of iterations to 500, and adjust the value of the parameter w after 500 iterations to improve the QAA algorithm. Finally, the result of obtaining the parameter w is w = [-0.64367, 0.40317, -0.85593, 241.39779, -5.5001].

其中,训练样本来自于步骤3中获得的感兴趣区域集合中的样本点,在每一次迭代中,计算每个样本点的吸收系数和后向散射系数,并获得步骤4-1中定义的目标函数值。在每次迭代时,采用Adam算法,调整参数w的值,对目标函数进行优化。Adam算法的参数配置为:学习率=0.01,beta1=0.9,beta2=0.999, eps=1e-08,weight_decay=0。Among them, the training samples come from the sample points in the region of interest set obtained in step 3. In each iteration, the absorption coefficient and backscattering coefficient of each sample point are calculated, and the target defined in step 4-1 is obtained. function value. In each iteration, the Adam algorithm is used to adjust the value of the parameter w to optimize the objective function. The parameter configuration of Adam algorithm is: learning rate=0.01, beta1=0.9, beta2=0.999, eps=1e-08, weight_decay=0.

步骤5,利用改进的QAA算法反演研究区域内每个点的吸收系数和后向散射系数。Step 5, use the improved QAA algorithm to invert the absorption coefficient and backscattering coefficient of each point in the study area.

步骤6,利用水体吸收系数、后向散射系数和水质参数实测数据完成水质参数反演模型训练,利用训练好的水质参数反演模型进行水体的水质参数反演,并获得水质参数空间分布。其中,水质参数包括叶绿素、总悬浮物浓度和浊度。所述利用水体固有光学量和水质参数实测数据完成水质参数反演模型训练的具体实现方式为:Step 6: Complete the training of water quality parameter inversion model using the water absorption coefficient, backscattering coefficient and water quality parameter measured data, use the trained water quality parameter inversion model to invert the water quality parameters of the water body, and obtain the spatial distribution of water quality parameters. Among them, water quality parameters include chlorophyll, total suspended solids concentration and turbidity. The specific implementation method for completing the training of the water quality parameter inversion model by using the inherent optical quantity of the water body and the measured data of water quality parameters is as follows:

利用归一化吸收系数差分指数NDAI进行波段扩充,其中NDAI全称 NormalizedDifference Absorption Index,计算水体固有光学量和水质参数的相关性,并按照相关性大小进行波段选择,得到的最优波段为451nm波长处水体吸收系数和449nm波长处水体吸收系数的归一化差分指数,其具体表现如公式( 12) 所示。The normalized difference index of absorption coefficient, NDAI, is used to expand the band. The full name of NDAI is Normalized Difference Absorption Index. The correlation between the inherent optical quantity of the water body and the water quality parameters is calculated, and the band is selected according to the correlation. The optimal band is obtained at the wavelength of 451 nm. The water absorption coefficient and the normalized difference index of the water absorption coefficient at the wavelength of 449 nm are shown in formula (12).

Figure GDA0003496741570000084
Figure GDA0003496741570000084

进一步地,利用线性回归构建水体水质参数反演模型。其中,模型训练用线性回归算法实现,样本标签为水质采样点测得的水质数据,训练数据为最优波段下的水体吸收系数和数据。选择20%的数据作为测试集,图8为模型在测试集上的拟合效果图,其中横轴为悬浮物浓度真实值,纵轴为悬浮物浓度预测值,图中各个点为测试集中每个样本悬浮物浓度的真实值和预测值的分布,图中直线为悬浮物浓度的理想分布,点离直线越近说明模型效果越好,从图中可以看出本实施例中获得的悬浮物反演模型总体精度较高,可以满足内陆水体悬浮物反演的要求。Further, an inversion model of water quality parameters was constructed using linear regression. Among them, the model training is realized by linear regression algorithm, the sample label is the water quality data measured at the water quality sampling point, and the training data is the water absorption coefficient and data in the optimal band. Select 20% of the data as the test set. Figure 8 shows the fitting effect of the model on the test set, where the horizontal axis is the actual value of the suspended solids concentration, and the vertical axis is the predicted value of the suspended solids concentration. The distribution of the actual and predicted values of the suspended solids concentration of each sample. The straight line in the figure is the ideal distribution of suspended solids concentration. The closer the point is to the straight line, the better the model effect is. It can be seen from the figure that the suspended solids obtained in this example is obtained. The overall accuracy of the inversion model is high, which can meet the requirements of inversion of suspended matter in inland water.

进一步地,利用得到的水体水质参数反演模型对研究区域的水质参数进行反演。Further, the water quality parameters in the study area are inverted using the obtained water quality parameter inversion model.

进一步地,通过图像镶嵌的方式获得水质参数空间分布,如图9所示为一阶线性模型的悬浮物浓度空间分布图,彩色图中水体颜色越偏向绿色,表示悬浮物浓度越高,水体颜色越偏向蓝色,表示悬浮物浓度越低;彩色图转化为黑白图后,水体颜色越浅,表示悬浮物浓度越高,水体颜色越深,表示悬浮物浓度越低。Further, the spatial distribution of water quality parameters is obtained by image mosaicking. Figure 9 shows the spatial distribution of the suspended solids concentration of the first-order linear model. The more blue it is, the lower the suspended solids concentration is; after the color map is converted to black and white, the lighter the water color is, the higher the suspended solids concentration is, and the darker the water color is, the lower the suspended solids concentration is.

本发明实施例的方法,对比现有技术无需提前获取水体的吸收系数、后向散射系数等固有光学量,而是利用了同一水体相邻位置之间固有光学特性类似,且水体吸收系数和后向散射系数应大于0的性质,实现了无监督的对QAA算法的调整;本发明实施例提出的对原始QAA算法进行改进的方法,不受区域限制,可方便地推广至其他内陆水体的水质反演中;本发明实施例的方法不需要大量的实测水质数据和遥感数据,仅使用有限的数据即可达到一定的反演精度。Compared with the prior art, the method of the embodiment of the present invention does not need to obtain the inherent optical quantities such as the absorption coefficient and backscattering coefficient of the water body in advance, but utilizes the similar inherent optical characteristics between adjacent positions of the same water body, and the absorption coefficient of the water body is the same as the backscattering coefficient. The property that the scattering coefficient should be greater than 0 realizes the unsupervised adjustment of the QAA algorithm; the method for improving the original QAA algorithm proposed in the embodiment of the present invention is not limited by the region, and can be easily extended to other inland water bodies. In water quality inversion; the method of the embodiment of the present invention does not require a large amount of measured water quality data and remote sensing data, and only limited data can be used to achieve a certain inversion accuracy.

本发明实施例所示的附图说明,可使本发明的目的、技术方案及优点介绍得更加清楚明白。应当说明,此处所描述的具体实施例仅仅用于解释本发明,并不用于限定本发明。凡在本发明提供的方法思路和原则之内所作的等同替换、改进等,均应包含在本发明的保护范围之内。The description of the drawings shown in the embodiments of the present invention can make the purpose, technical solutions and advantages of the present invention more clearly introduced. It should be noted that the specific embodiments described herein are only used to explain the present invention, but not to limit the present invention. All equivalent replacements, improvements, etc. made within the method ideas and principles provided by the present invention shall be included within the protection scope of the present invention.

Claims (7)

1.一种基于改进QAA算法的内陆水体水质反演方法,其特征在于,包括:1. an inland water quality inversion method based on improving QAA algorithm, is characterized in that, comprises: (1)获取内陆水体的遥感影像数据;(1) Obtain remote sensing image data of inland water bodies; (2)使用改进的归一化差分水体指数NDWI提取水体,并利用形态学处理方法对提取到的水体进行后处理;(2) Use the improved normalized differential water index NDWI to extract the water body, and use the morphological processing method to post-process the extracted water body; (3)结合水体地理位置和水体形状特点,选择部分或全部水体的遥感图像作为感兴趣区域集合;(3) Select remote sensing images of some or all water bodies as a collection of regions of interest in combination with the geographical location of the water body and the shape of the water body; (4)定义对原始QAA算法的优化目标函数,利用QAA算法获得感兴趣区域的初始水体固有光学量,并利用Adam算法不断调整QAA算法的参数直到目标函数值最小;(4) Define the optimization objective function of the original QAA algorithm, use the QAA algorithm to obtain the initial water intrinsic optical quantity in the region of interest, and use the Adam algorithm to continuously adjust the parameters of the QAA algorithm until the objective function value is the smallest; (5)利用改进QAA算法反演水体的固有光学量;(5) Using the improved QAA algorithm to invert the inherent optical quantity of the water body; (6)利用水体固有光学量和水质参数实测数据完成水质参数反演模型训练,利用训练好的水质参数反演模型进行水体的水质参数反演,并获得水质参数空间分布;所述改进的归一化差分水体指数,即NDWI,计算公式如下:(6) Complete the training of the water quality parameter inversion model by using the inherent optical quantity of the water body and the measured data of water quality parameters, and use the trained water quality parameter inversion model to invert the water quality parameters of the water body, and obtain the spatial distribution of water quality parameters; The normalized difference water index, namely NDWI, is calculated as follows:
Figure FDA0003543511080000011
Figure FDA0003543511080000011
其中R750和R560分别指750nm波长和560nm波长的遥感反射率,NDWI介于-1到1之间,NDWI大于阈值0时,则该像元为候选水体;Among them, R 750 and R 560 refer to the remote sensing reflectivity of 750nm wavelength and 560nm wavelength respectively, and the NDWI is between -1 and 1. When the NDWI is greater than the threshold value of 0, the pixel is a candidate water body; 所述QAA算法,即QAA_V5,具体表现形式为:The QAA algorithm, namely QAA_V5, has a specific form of expression:
Figure FDA0003543511080000012
Figure FDA0003543511080000012
Figure FDA0003543511080000013
Figure FDA0003543511080000013
λ0=550nm (4)λ 0 =550nm (4)
Figure FDA0003543511080000014
Figure FDA0003543511080000014
Figure FDA0003543511080000015
Figure FDA0003543511080000015
Figure FDA0003543511080000016
Figure FDA0003543511080000016
Figure FDA0003543511080000017
Figure FDA0003543511080000017
Figure FDA0003543511080000018
Figure FDA0003543511080000018
其中λ为波长,λ0为参考波长,QAA_V5中取550nm,Rrs(λ)为λ波长时的水体上表面遥感反射率,rrs(λ)为λ波长时的水体下表面遥感反射率,Y是颗粒物后向散射光谱斜率,μ(λ)为λ波长时后向散射系数与后向散射系数和吸收系数之和的比值,a(λ)为λ波长时的水体吸收系数,bbp(λ)为λ波长时的水体后向散射系数,aw0)为纯水在参考波长λ0处的吸收系数,bbw0)为纯水在参考波长λ0处的后向散射系数,w0、w1、w2、w3、w4为需要调整的参数,QAA_V5算法中,w0=0.39,w1=1.14,w2=2.0,w3=-2.4,w4=-0.9;where λ is the wavelength, λ 0 is the reference wavelength, 550 nm is taken in QAA_V5, R rs (λ) is the remote sensing reflectance of the upper surface of the water body at λ wavelength, r rs (λ) is the remote sensing reflectivity of the lower surface of the water body at λ wavelength, Y is the backscattering spectral slope of particulate matter, μ(λ) is the ratio of the backscattering coefficient to the sum of the backscattering coefficient and the absorption coefficient at λ wavelength, a(λ) is the water absorption coefficient at λ wavelength, b bp ( λ) is the backscattering coefficient of water at λ wavelength, a w0 ) is the absorption coefficient of pure water at the reference wavelength λ 0 , b bw0 ) is the backscattering coefficient of pure water at the reference wavelength λ 0 Scattering coefficient, w 0 , w 1 , w 2 , w 3 , and w 4 are parameters that need to be adjusted. In the QAA_V5 algorithm, w 0 =0.39, w 1 =1.14, w 2 =2.0, w 3 =-2.4, w 4 =-0.9; 所述QAA算法的优化目标函数的具体实现方式为:The specific implementation mode of the optimization objective function of the QAA algorithm is:
Figure FDA0003543511080000021
Figure FDA0003543511080000021
其中,R为感兴趣区域集合的大小,λ为波长,(rowi,coli)为i区域中第row行第col列的像元坐标,w为w0、w1、w2、w3、w4组成的向量,即w=[w0,w1,w2,w3,w4],ρ为控制该目标函数中最后一项
Figure FDA0003543511080000022
重要性的权重,ρ的取值范围为0<ρ<1;
Figure FDA0003543511080000023
为λ波长,w参数时,(rowi,coli)坐标处的吸收系数,
Figure FDA0003543511080000024
为在λ波长,w参数时,(rowi,coli)坐标处的后向散射系数,
Figure FDA0003543511080000025
为在参数w波长λ下,(rowi,coli)坐标处的水体吸收系数与其8邻域内其他坐标处水体吸收系数差值平方的加权和,
Figure FDA0003543511080000026
为在参数w波长λ下,(rowi,coli)坐标处的水体后向散射系数与其8邻域内其他坐标处水体后向散射系数差值平方的加权和;
Among them, R is the size of the area of interest set, λ is the wavelength, (row i , col i ) is the pixel coordinates of the row row and col column in the i area, and w is w 0 , w 1 , w 2 , w 3 A vector composed of , w 4 , namely w=[w 0 , w 1 , w 2 , w 3 , w 4 ], ρ is the last item in the control objective function
Figure FDA0003543511080000022
The weight of importance, the value range of ρ is 0<ρ<1;
Figure FDA0003543511080000023
is the wavelength of λ, when the parameter w, the absorption coefficient at the coordinates of (row i , col i ),
Figure FDA0003543511080000024
is the backscattering coefficient at (row i , col i ) coordinates at λ wavelength, w parameter,
Figure FDA0003543511080000025
is the weighted sum of the square of the difference between the absorption coefficient of the water body at the coordinates (row i , col i ) and the absorption coefficients of the water body at other coordinates in the 8 neighborhood under the parameter w wavelength λ,
Figure FDA0003543511080000026
is the weighted sum of the square of the difference between the backscattering coefficient of the water body at the coordinates (row i , col i ) and the backscattering coefficient of the water body at other coordinates in the 8 neighborhood under the parameter w wavelength λ;
所述改进的QAA算法,其改进的点是对原始QAA算法中的五个参数的调整,即公式(5)中的w0、w1和公式(7)中的w2、w3、w4The improvement point of the improved QAA algorithm is the adjustment of five parameters in the original QAA algorithm, namely w 0 , w 1 in formula (5) and w 2 , w 3 , w in formula (7) 4 ; 所述利用Adam算法不断调整QAA算法的参数直到目标函数值最小;其具体表现形式为:定义总的迭代次数,并利用Adam算法在每一轮迭代时更新w,使得公式(10)表示的目标函数逐步变小。The Adam algorithm is used to continuously adjust the parameters of the QAA algorithm until the objective function value is the smallest; its specific form is: define the total number of iterations, and use the Adam algorithm to update w in each iteration, so that the target represented by formula (10) is The function gradually gets smaller.
2.如权利要求1所述的一种基于改进QAA算法的内陆水体水质反演方法,其特征在于,所述利用形态学处理方法对提取到的水体进行后处理的具体实现为:2. a kind of inland water quality inversion method based on improved QAA algorithm as claimed in claim 1, is characterized in that, the concrete realization that described utilizing morphological processing method to carry out post-processing to the water body that extracts is: 利用形态学处理方法对候选水体进行后处理,滤除非水体区域,平滑水体边界。The candidate water bodies are post-processed by morphological processing methods to filter out non-water body areas and smooth the water body boundaries. 3.如权利要求1所述的一种基于改进QAA算法的内陆水体水质反演方法,其特征在于,所述形态学处理方法为:利用开运算消除部分非水体区域与水体区域的连接;标记候选水体的连通域,按照面积大小滤除非水体的连通域;使用闭运算平滑水陆边界。3. a kind of inland water quality inversion method based on improved QAA algorithm as claimed in claim 1, is characterized in that, described morphological processing method is: utilize open operation to eliminate the connection of part non-water body area and water body area; Mark the connected domain of candidate water bodies, filter the connected domain of non-water bodies according to the size of the area; use the closing operation to smooth the water-land boundary. 4.如权利要求1所述的一种基于改进QAA算法的内陆水体水质反演方法,其特征在于,所述感兴趣区域集合的选择,应结合水体的地理位置、形状特点选择合适大小的区域;记感兴趣区域集合的大小为R。4. a kind of inland water quality inversion method based on improved QAA algorithm as claimed in claim 1, is characterized in that, the selection of described interest area set, should combine the geographical position of water body, shape characteristic to select suitable size. area; note the size of the area of interest set as R. 5.如权利要求1所述的一种基于改进QAA算法的内陆水体水质反演方法,其特征在于,所述迭代次数应设置为1000以上,Adam的参数为学习率=0.01,beta1=0.9,beta2=0.999,eps=1e-08,weight_decay=0。5. The inland water quality inversion method based on an improved QAA algorithm as claimed in claim 1, wherein the number of iterations should be set to more than 1000, and the parameters of Adam are learning rate=0.01, beta1=0.9 , beta2=0.999, eps=1e-08, weight_decay=0. 6.如权利要求1所述的一种基于改进QAA算法的内陆水体水质反演方法,其特征在于,所述利用水体固有光学量和水质参数实测数据完成水质参数反演模型训练的具体表现方式为:6. a kind of inland water quality inversion method based on improved QAA algorithm as claimed in claim 1, is characterized in that, described utilizing water body inherent optical quantity and water quality parameter measured data to complete the concrete performance of water quality parameter inversion model training The way is: 计算水体固有光学量和水质参数的相关性,并按照相关性大小进行波段选择;利用线性回归得到最优波段反演水质参数的模型。Calculate the correlation between the inherent optical quantity of the water body and the water quality parameters, and select the band according to the correlation; use the linear regression to obtain the model of the optimal band to invert the water quality parameters. 7.如权利要求1~6任一项所述的一种基于改进QAA算法的内陆水体水质反演方法,所述水质参数包括叶绿素、总悬浮物浓度和浊度。7. An inland water quality inversion method based on an improved QAA algorithm according to any one of claims 1 to 6, wherein the water quality parameters include chlorophyll, total suspended solids concentration and turbidity.
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