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CN105869161B - Hyperspectral image band selection method based on image quality evaluation - Google Patents

Hyperspectral image band selection method based on image quality evaluation Download PDF

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CN105869161B
CN105869161B CN201610182415.4A CN201610182415A CN105869161B CN 105869161 B CN105869161 B CN 105869161B CN 201610182415 A CN201610182415 A CN 201610182415A CN 105869161 B CN105869161 B CN 105869161B
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CN105869161A (en
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曹向海
李星华
梁甜
李泽瀚
焦李成
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Xidian University
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    • G06COMPUTING OR CALCULATING; COUNTING
    • G06TIMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T7/00Image analysis
    • G06T7/0002Inspection of images, e.g. flaw detection
    • GPHYSICS
    • G06COMPUTING OR CALCULATING; COUNTING
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    • G06T2207/10032Satellite or aerial image; Remote sensing
    • G06T2207/10036Multispectral image; Hyperspectral image
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    • G06COMPUTING OR CALCULATING; COUNTING
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Abstract

本发明提出了一种基于图像质量评价的高光谱图像波段选择方法,用于解决无监督波段选择方法中存在的选择的波段子集判别性能差的问题;包括如下步骤:输入待波段选择的高光谱图像;将高光谱图像进行归一化;将归一化后的高光谱图像中的波段图像进行平均,得到平均图像;将波段图像和平均图像进行量化;以平均图像作为参考,求各个波段图像的图像质量评价值;将MRMR波段选择方法中的波段与样本标签之间的互信息替换为图像质量评价值;根据改进的MRMR进行波段选择。本发明通过引入图像质量评价,可以选择出高质量的波段,且波段与波段之间的相关性小,选择的波段子集判别性能好,可用于对高光谱图像进行降维。

The present invention proposes a hyperspectral image band selection method based on image quality evaluation, which is used to solve the problem of poor discrimination performance of the selected band subset existing in the unsupervised band selection method; it includes the following steps: input the high Spectral image; normalize the hyperspectral image; average the band images in the normalized hyperspectral image to obtain the average image; quantify the band image and the average image; use the average image as a reference to calculate each band The image quality evaluation value of the image; the mutual information between the band and the sample label in the MRMR band selection method is replaced by the image quality evaluation value; the band selection is performed according to the improved MRMR. By introducing image quality evaluation, the present invention can select high-quality wave bands, and the correlation between wave bands is small, and the selected wave band subset has good discrimination performance, and can be used to reduce the dimension of hyperspectral images.

Description

基于图像质量评价的高光谱图像波段选择方法Band Selection Method for Hyperspectral Image Based on Image Quality Evaluation

技术领域technical field

本发明属于图像处理技术领域,涉及一种高光谱图像波段选择方法,具体涉及一种基于图像质量评价的高光谱图像波段选择方法,可用于对高光谱图像进行降维。The invention belongs to the technical field of image processing, and relates to a hyperspectral image band selection method, in particular to a hyperspectral image band selection method based on image quality evaluation, which can be used for dimensionality reduction of hyperspectral images.

背景技术Background technique

遥感是从远处探测自然界物体的一种技术,自然中的一切物体都具有反射或发射电磁波的特性,而且物体不同,所处于的环境不同,物体发射或反射的电磁波也不相同,被物体发射或反射的电磁波中包含着物体的特征信息,能够作为感知不同物体的工具。基于此原理,遥感技术通过物理设备收集物体发射或反射的电磁波来感知和判别物体。通过遥感获得的图像就是遥感图像。Remote sensing is a technology to detect objects in nature from a distance. All objects in nature have the characteristics of reflecting or emitting electromagnetic waves, and the objects are different, and the environments they are in are different. The electromagnetic waves emitted or reflected by objects are also different. Or the reflected electromagnetic wave contains the characteristic information of the object, which can be used as a tool to perceive different objects. Based on this principle, remote sensing technology uses physical equipment to collect electromagnetic waves emitted or reflected by objects to perceive and identify objects. Images obtained through remote sensing are remote sensing images.

多光谱图像是我们平常接触较多的遥感影像,其在电磁波谱中的几个可见光波段上同时获取信息。经过长时间的发展,遥感技术已经取得了很大的进步,高光谱遥感是遥感技术发展到一定阶段后的产物。高光谱遥感图像在电磁波谱的紫外、可见光、近红外和中红外区域中的数十至数百个非常窄的且连续的光谱段上同时获取信息。相比于传统的遥感图像如多光谱图像来说,高光谱图像可以提供丰富的信息而且有很高的光谱分辨率。高光谱图像提供大量信息的同时也会出现信息冗余的现象。大量高度相关的信息为高光谱图像的进一步处理带来了计算复杂度高,耗费存储空间等难题。因此在最大程度保留高光谱丰富信息的基础上降低维度是高光谱图像处理中的一个重要环节。Multispectral image is a remote sensing image that we usually contact with more, and it acquires information in several visible light bands in the electromagnetic spectrum at the same time. After a long period of development, remote sensing technology has made great progress. Hyperspectral remote sensing is the product of remote sensing technology developed to a certain stage. Hyperspectral remote sensing images simultaneously acquire information on tens to hundreds of very narrow and continuous spectral segments in the ultraviolet, visible, near-infrared, and mid-infrared regions of the electromagnetic spectrum. Compared with traditional remote sensing images such as multispectral images, hyperspectral images can provide rich information and have high spectral resolution. While hyperspectral images provide a large amount of information, there is also the phenomenon of information redundancy. A large amount of highly correlated information brings difficulties such as high computational complexity and memory consumption to the further processing of hyperspectral images. Therefore, dimensionality reduction is an important part of hyperspectral image processing on the basis of retaining hyperspectral rich information to the greatest extent.

用于高光谱图像降维的方法有特征提取和波段选择。特征提取一般是通过线性或者非线性的方法将高维数据空间映射到低维数据空间来实现降维。特征提取方法通过映射获取的低维空间的数据失去了原始数据所代表的物理意义。相对于特征提取的方法,波段选择是基于非变换的降维方法,这种方法是从原始的波段中选择表现性能好的波段子集,相对于特征提取的方法,波段选择不会改变原始的数据,较好的保留了原始数据中的物理含义以及地物的信息。Methods for dimensionality reduction of hyperspectral images include feature extraction and band selection. Feature extraction generally achieves dimensionality reduction by mapping a high-dimensional data space to a low-dimensional data space through a linear or nonlinear method. The data in the low-dimensional space obtained by the feature extraction method through mapping loses the physical meaning represented by the original data. Compared with the method of feature extraction, band selection is based on a non-transformation dimensionality reduction method. This method selects a subset of bands with good performance from the original bands. Compared with the method of feature extraction, band selection does not change the original Data, better retain the physical meaning and information of ground objects in the original data.

高光谱图像降维根据是否需要标记样本的参与分为有监督波段选择和无监督波段选择。有监督波段选择需要标记样本的参与,现有的有监督波段选择方法有基于类间可分性的方法,基于最大相关最小冗余(MRMR)的方法等,其中MRMR是非常经典的有监督波段选择方法,其原理简单并有较高的计算效率,而且可以选择出高质量的波段子集且波段之间的冗余度较低。有监督波段选择因为有标记样本的参与,所以可以选择出性能较好的波段子集,但是获取标记样本需要耗费大量的人力物力,而且有些区域是没有进行标记的。这很大程度上限制了有监督波段选择的应用范围。无监督波段选择没有标记样本的参与,它是根据波段之间的内在结构来选择高质量的波段子集的。因为不需要标记样本的参与,所以无监督波段选择方法适用范围广。Hyperspectral image dimensionality reduction can be divided into supervised band selection and unsupervised band selection according to whether the participation of labeled samples is required. Supervised band selection requires the participation of labeled samples. The existing supervised band selection methods include methods based on inter-class separability, methods based on maximum correlation and minimum redundancy (MRMR), among which MRMR is a very classic supervised band The selection method has a simple principle and high computational efficiency, and can select a high-quality band subset with low redundancy between bands. Supervised band selection can select a subset of bands with better performance because of the participation of marked samples, but obtaining marked samples requires a lot of manpower and material resources, and some areas are not marked. This largely limits the scope of applications of supervised band selection. Unsupervised band selection does not involve labeled samples, and it selects a high-quality subset of bands based on the intrinsic structure between bands. Because it does not require the participation of labeled samples, the unsupervised band selection method has a wide range of applications.

现有的无监督波段选择方法有基于信息量的波段选择方法,基于相似性的波段选择方法和基于聚类的波段选择方法,其中基于信息量的波段选择方法具体有基于最大方差主分量分析的方法(MVPCA),MVPCA根据负载因子矩阵来对原始波段进行排序,从而挑选出方差大的波段,此方法虽然可以选择出高质量的波段,但波段之间的冗余度非常高,波段之间的信息在很大程度上是重复的,所以选出的波段集合的表现性能比较差。第二种是基于相似性的波段选择方法,其思路为从未挑选的剩余波段中,选择与已选波段集合最不相似的波段,此方法的缺点是只保证了被选择的波段和以选择的波段之间的冗余度最低,但是其包含的有用的信息可能很少,而且此方法选出的波段集合性能的好坏与设定的两个初始波段有很大关系。第三种基于聚类的波段选择方法具体有基于K中心点波段选择方法(k-medoids),其实施思路为对波段进行聚类,然后选出位于中间位置的波段,此方法选择的缺点是选择的波段集合易受初始中心点的影响,所以选出的波段的性能也有待提高。The existing unsupervised band selection methods include information-based band selection methods, similarity-based band selection methods, and cluster-based band selection methods, among which information-based band selection methods specifically include principal component analysis based on maximum variance. method (MVPCA), MVPCA sorts the original bands according to the load factor matrix, so as to select bands with large variance. Although this method can select high-quality bands, the redundancy between bands is very high. The information in is largely repetitive, so the performance performance of the selected band set is relatively poor. The second is the band selection method based on similarity. Its idea is to select the band least similar to the selected band set from the unselected remaining bands. The disadvantage of this method is that only the selected bands and the selected bands are guaranteed. The redundancy between the bands is the lowest, but it may contain very little useful information, and the performance of the band set selected by this method has a lot to do with the two initial bands set. The third cluster-based band selection method is specifically based on the K-medoids band selection method (k-medoids). The implementation idea is to cluster the bands and then select the bands located in the middle. The disadvantages of this method are: The set of selected bands is susceptible to the influence of the initial center point, so the performance of the selected bands also needs to be improved.

图像是人类感知和机器模式识别的重要信息来源,然而在图像的采集、压缩、处理、传输及显示等过程中产生了图像质量下降的问题。如何建立有效的图像质量评价机制被学者们广泛研究。图像质量评价可以划分为主观评价方法和客观评价方法。对于主观评价,客观评价具有易操作、花费低等优点,所以客观评价已经成为目前研究的重点,客观评价根据原始参考图像是否参与图像质量评价分为全参考,半参考和无参考3类方法,全参考图像质量评价方法需要用到原始参考图像。基于结构相似度的图像质量评价(SSIM)是一种经典的全参考图像质量评价准则,SSIM是一种基于结构信息衡量原始图像与处理后图像之间相似程度的方法,其计算简单、与主观质量评价关联性较强。近年来质量评价机制已经在视频传输、字符识别、安全监控、医学等方面得到广泛应用,但是图像质量评价还没有在高光谱图像降维方面的得到应用,而高光谱图像的各个波段其实就是一幅图像,对各个波段图像进行质量评价,得到的质量评价的值可能会对高光谱降维降维有指导作用。Image is an important source of information for human perception and machine pattern recognition. However, the problem of image quality degradation occurs in the process of image acquisition, compression, processing, transmission and display. How to establish an effective image quality evaluation mechanism has been extensively studied by scholars. Image quality evaluation can be divided into subjective evaluation methods and objective evaluation methods. For subjective evaluation, objective evaluation has the advantages of easy operation and low cost, so objective evaluation has become the focus of current research. According to whether the original reference image participates in image quality evaluation, objective evaluation is divided into three types: full reference, semi-reference and no reference. The full-reference image quality assessment method needs to use the original reference image. Structural similarity-based image quality evaluation (SSIM) is a classic full-reference image quality evaluation criterion. SSIM is a method based on structural information to measure the similarity between the original image and the processed image. Its calculation is simple and subjective. Quality evaluation is highly correlated. In recent years, the quality evaluation mechanism has been widely used in video transmission, character recognition, security monitoring, medicine, etc., but image quality evaluation has not been applied in hyperspectral image dimensionality reduction, and each band of hyperspectral image is actually a The quality of images in each band is evaluated, and the obtained quality evaluation value may be instructive for hyperspectral dimensionality reduction.

发明内容Contents of the invention

本发明的目的在于克服上述现有技术存在的缺陷,提出了一种基于图像质量评价的高光谱图像波段选择方法,通过引入图像质量评价,对MRMR波段选择方法进行改进,提出了一种新的无监督波段选择方法,用于解决现有无监督波段选择方法存在的选择出的波段识别能力差的问题。The purpose of the present invention is to overcome the above-mentioned defects in the prior art, propose a hyperspectral image band selection method based on image quality evaluation, improve the MRMR band selection method by introducing image quality evaluation, and propose a new The unsupervised band selection method is used to solve the problem of poor recognition ability of selected bands existing in the existing unsupervised band selection method.

本发明的技术思路是:通过引入质量评价准则得到了一种新的无监督波段选择方法,此方法可以选择出质量评价值大的波段,此波段同时又与已选择的波段之间的冗余度低,从而可以得到包含较多判别信息的波段子集,达到高光谱图像降维的目的。The technical idea of the present invention is: a new unsupervised band selection method is obtained by introducing a quality evaluation criterion. This method can select a band with a large quality evaluation value, and at the same time, this band is redundant with the selected band. The degree is low, so that a subset of bands containing more discriminant information can be obtained, and the purpose of dimensionality reduction of hyperspectral images can be achieved.

根据上述技术思路,实现本发明采取的技术方案,包括如下步骤:According to above-mentioned technical train of thought, realize the technical scheme that the present invention takes, comprise the steps:

步骤1,输入高光谱图像A;Step 1, input hyperspectral image A;

步骤2,将高光谱图像A的光谱值归一化到0-1之间,得到归一化后的高光谱图像A′;Step 2, normalize the spectral value of the hyperspectral image A to between 0 and 1 to obtain the normalized hyperspectral image A';

步骤3,将归一化后的高光谱图像A′中的每个波段图像记为xi,其中xi表示第i个波段图像,i=1,2...N,对高光谱图像A′中的各个波段图像求平均,得到平均图像,记为y′;Step 3, record each band image in the normalized hyperspectral image A′ as x i , where x i represents the i-th band image, i=1,2...N, for hyperspectral image A ' in each band image averaged to obtain the average image, denoted as y';

步骤4,对归一化后的高光谱图像A′中每个波段图像xi和平均图像y′进行量化,得到量化后的波段图像xi′和量化后的平均图像y′;Step 4: Quantize each band image x i and average image y' in the normalized hyperspectral image A' to obtain quantized band image x i ' and quantized average image y';

步骤5,利用质量评价准则,以量化后的平均波段图像为参考,求出所述量化后的波段图像xi′的质量评价值,第i个量化后的波段图像xi′的质量评价值,记为Q(xi′,y′);Step 5, using the quality evaluation criterion, taking the quantized average band image as a reference, to obtain the quality evaluation value of the quantized band image x i ', and the quality evaluation value of the ith quantized band image x i ' , denoted as Q( xi ′, y′);

步骤6,利用所述的质量评价值Q(xi′,y′),替换MRMR波段选择方法所用公式中波段与样本标签之间的互信息,得到替换后的公式:Step 6, using the quality evaluation value Q( xi ', y') to replace the mutual information between the band and the sample label in the formula used in the MRMR band selection method, to obtain the replaced formula:

其中m指的是选择的第m个波段,此波段是X-Sm-1波段中的一个波段,X为波段全集,Sm-1为已选出的m-1个波段的集合,X-Sm-1为待进行选择的波段的集合,xi′是待进行选择的一个波段,I(xi′,xq′)指的是波段xi′与波段xq′的互信息,xq′是已经选出来的波段,Q(xi′,y′)指的是波段xi′和波段xq′的图像质量评价值,参数α用来调整图像质量评价值和波段之间冗余度所占的重要性;Among them, m refers to the selected m-th band, which is a band in the XS m-1 band, X is the full set of bands, S m-1 is the set of selected m-1 bands, XS m- 1 is the set of bands to be selected, x i ′ is a band to be selected, I( xi ′, x q ′) refers to the mutual information of band x i ′ and band x q ′, x q ′ is the selected band, Q( xi ′, y′) refers to the image quality evaluation value of the band xi ′ and the band x q ′, and the parameter α is used to adjust the image quality evaluation value and the redundancy between the bands the importance of

步骤7,根据所述替换后的公式,得到改进的MRMR波段选择方法,并利用该方法进行波段选择。Step 7: Obtain an improved MRMR band selection method according to the replaced formula, and use this method to select bands.

本发明与现有技术相比,具有以下优点:Compared with the prior art, the present invention has the following advantages:

第一:本发明由于采用质量评价准则,将MRMR波段选择方法公式中的波段与样本标签之间的互信息,替换为图像质量评价值,然后根据替换之后的MRMR进行波段选择,与现有技术相比,可以选择出信息量丰富的波段,同时又保证了波段与波段之间的相关性较小,提高了波段子集的判别能力。First: the present invention replaces the mutual information between the band and the sample label in the MRMR band selection method formula with the image quality evaluation value due to the use of the quality evaluation criterion, and then performs band selection according to the MRMR after replacement, which is different from the prior art In contrast, bands with rich information can be selected, and at the same time, the correlation between bands is guaranteed to be small, and the discrimination ability of band subsets is improved.

第二:本发明由于采用质量评价准则,将MRMR波段选择方法公式中的波段与样本标签之间的互信息,替换为质量评价值,在波段选择过程中不需要样本标签的参与,与现有的MRMR波段选择方法相比,可以处理没有标记样本的高光谱图像。Second: the present invention replaces the mutual information between the band and the sample label in the formula of the MRMR band selection method with a quality evaluation value due to the use of the quality evaluation criterion, and does not require the participation of the sample label in the band selection process, which is different from the existing Compared to the MRMR band selection method, hyperspectral images of unlabeled samples can be processed.

附图说明Description of drawings

图1为本发明的实现流程框图;Fig. 1 is the realization flow diagram of the present invention;

图2为本发明方法与其他波段选择方法在indian pines高光谱图像上的性能对比曲线图;Fig. 2 is the performance contrast curve figure on the indian pines hyperspectral image of the inventive method and other band selection methods;

图3为本发明与其他波段选择方法在paviaU高光谱图像上的性能对比曲线图;Fig. 3 is a graph showing the performance comparison between the present invention and other band selection methods on paviaU hyperspectral images;

具体实施方式:Detailed ways:

以下结合附图和具体实施例,对本发明作进一步详细说明:Below in conjunction with accompanying drawing and specific embodiment, the present invention is described in further detail:

参照附图1,本实施例中所采用的高光谱图像为印第安纳州高光谱图像。Referring to Figure 1, the hyperspectral image used in this embodiment is a hyperspectral image of Indiana.

步骤1,输入高光谱图像A;Step 1, input hyperspectral image A;

步骤2,将高光谱图像A的光谱值归一化到0-1之间,得到归一化后的高光谱图像A′;Step 2, normalize the spectral value of the hyperspectral image A to between 0 and 1 to obtain the normalized hyperspectral image A';

步骤3,将归一化后的高光谱图像A′中的每个波段图像记为xi,其中xi表示第i个波段图像,i=1,2...220,对高光谱图像A′中的各个波段图像求平均,得到平均图像,记为y′;Step 3, record each band image in the normalized hyperspectral image A′ as x i , where x i represents the i-th band image, i=1,2...220, for hyperspectral image A ' in each band image averaged to obtain the average image, denoted as y';

步骤4,对归一化后的高光谱图像A′中每个波段图像xi和平均图像y′进行量化,得到量化后的波段图像xi′和量化后的平均图像y′;Step 4: Quantize each band image x i and average image y' in the normalized hyperspectral image A' to obtain quantized band image x i ' and quantized average image y';

步骤5,利用质量评价准则,以量化后的平均图像为参考,求出所述量化后的波段图像xi′的质量评价值,第i个量化后的波段图像xi′的质量评价值,记为Q(xi′,y′);Step 5, using the quality evaluation criteria and taking the quantized average image as a reference, to obtain the quality evaluation value of the quantized band image x i ', the quality evaluation value of the i-th quantized band image x i ', Denoted as Q( xi ′, y′);

本发明采用结构相似性质量评价准则SSIM(structural similarity)对图像的质量进行评价,SSIM是一种基于结构信息衡量图像之间相似程度的方法,其计算简单、与主观质量评价关联性较强。其求取具体步骤如下所示:The present invention adopts the structural similarity quality evaluation criterion SSIM (structural similarity) to evaluate the quality of the image. The SSIM is a method for measuring the similarity between images based on the structural information, and the calculation is simple and has strong correlation with the subjective quality evaluation. The specific steps for obtaining it are as follows:

(5a)计算量化后的波段图像xi′,i=1,2...220和量化后的平均图像y′的平均强度(5a) Calculate the average intensity of the quantized band image x i ', i=1,2...220 and the quantized average image y'

表示量化后的波段图像xi′的平均强度,μy′表示量化后的平均图像y′的平均强度,M指的是波段图像xi′和平均图像y′的像素点数,表示波段图像xi′的第j个像素点,yj′表示平均图像y′的第j个像素点,j=1,2...21025; Indicates the average intensity of the quantized band image x i ', μ y' indicates the average intensity of the quantized average image y', M refers to the number of pixels in the band image x i ' and the average image y', Indicates the jth pixel of the band image x i ', y j 'indicates the jth pixel of the average image y', j=1,2...21025;

(5b)计算量化后的波段图像xi′和量化后的平均图像y′的亮度对比函数I(xi′,y′)(5b) Calculate the brightness contrast function I(x i ′, y′) of the quantized band image x i ′ and the quantized average image y′

其中C1是为了避免分母为零而加的一个小的非零常数,本发明中令C1=(K1L)2,参数L可以取像素值变化范围内的任意值,在本例中像素值的变化范围为0-255,所以L可以取0-255内的任意值,在本发明中L取值为255,参数K1是一个小于1的常数,本发明中K1取值为0.01。Wherein C 1 is a small non-zero constant added in order to avoid the denominator being zero. In the present invention, C 1 =(K 1 L) 2 , parameter L can take any value in the range of pixel value variation, in this example The range of variation of the pixel value is 0-255, so L can take any value in 0-255, and in the present invention, L takes a value of 255, and parameter K is a constant less than 1 , and among the present invention, K takes a value of 0.01.

(5c)计算量化后的波段图像xi′和量化后的平均图像y′的标准差(5c) Calculate the standard deviation of the quantized band image x i ' and the quantized mean image y'

其中为量化后的波段图像xi′的标准差,δy′为量化后的平均图像y′的标准差;in is the standard deviation of the quantized band image x i ', and δ y' is the standard deviation of the quantized average image y';

(5d)计算量化后的波段图像xi′和量化后的平均图像y′的对比度对比函数C(xi′,y′)(5d) Calculate the contrast function C(x i ′, y′) of the quantized band image x i ′ and the quantized average image y′

其中C2是为了避免分母为零而加的一个小的非零常数,本发明中令C2=(K2L)2,参数K2是一个小于1的常数,本发明中K2取值为0.03。Wherein C 2 is a small non-zero constant added in order to avoid denominator being zero, order C 2 =(K 2 L) 2 in the present invention, parameter K 2 is a constant less than 1, K 2 value among the present invention is 0.03.

(5e)计算量化后的波段图像xi′和量化后的平均图像y′的结构对比函数S(xi′,y′)(5e) Calculate the structure comparison function S(x i ′, y′) of the quantized band image x i ′ and the quantized average image y′

其中C3是为了避免分母为零而加的一个小的非零常数,令 的定义如下所示where C 3 is a small non-zero constant added to avoid a zero denominator, so that is defined as follows

(5f)计算SSIM的值(5f) Calculate the value of SSIM

SSIM(xi′,y′)=[I(xi′,y′)]η[C(xi′,y′)]β[S(xi′,y′)]γ SSIM(x i ′,y′)=[I(x i ′,y′)] η [C(x i ′,y′)] β [S(x i ′,y′)] γ

η、β、γ为大于零的常数,控制I(xi′,y′)、C(xi′,y′)、S(xi′,y′)在求SSIM值时所占的重要性,SSIM(xi′,y′)即步骤5记为Q(xi′,y′)的图像质量评价值。在本发明中令η=β=γ,将上述所求的I(xi′,y′)、C(xi′,y′)、S(xi′,y′)及参数η、β、γ的值带入到SSIM(xi′,y′)公式中整理得到:η, β, and γ are constants greater than zero, controlling the importance of I( xi ′, y′), C( xi ′, y′), and S( xi ′, y′) in calculating the SSIM value SSIM( xi ′, y′) is the image quality evaluation value recorded as Q( xi ′, y′) in step 5. In the present invention, let η=β=γ, the above-mentioned I( xi ', y'), C( xi ', y'), S( xi ', y') and parameters η, β , γ into the SSIM( xi ′, y′) formula to get:

步骤6,利用所述的质量评价值SSIM(xi′,y′),替换MRMR波段选择方法所用公式中波段与样本标签之间的互信息,得到替换后的公式:Step 6, using the quality evaluation value SSIM( xi ', y'), replace the mutual information between the band and the sample label in the formula used in the MRMR band selection method, and obtain the replaced formula:

其中m指的是选择的第m个波段,此波段是X-Sm-1波段中的一个波段,X为波段全集,Sm-1为已选出的m-1个波段的集合,X-Sm-1为待进行选择的波段的集合,xi′是待进行选择的一个波段,I(xi′,xq′)指的是波段xi′与波段xq′的互信息,xq′是已经选出来的波段,SSIM(xi′,y′)指的是波段xi′和y′的图像质量评价值,参数α用来调整图像质量评价值和波段之间冗余度所占的重要性;Among them, m refers to the selected m-th band, which is a band in the XS m-1 band, X is the full set of bands, S m-1 is the set of selected m-1 bands, XS m- 1 is the set of bands to be selected, x i ′ is a band to be selected, I( xi ′, x q ′) refers to the mutual information of band x i ′ and band x q ′, x q ′ is the selected band, SSIM( xi ′, y′) refers to the image quality evaluation value of the band x i ′ and y′, the parameter α is used to adjust the image quality evaluation value and the redundancy between the bands the importance of;

步骤7根据替换后的公式,得到改进的MRMR波段选择方法,并利用该方法进行波段选择,具体步骤如下所示:Step 7 According to the formula after replacement, an improved MRMR band selection method is obtained, and this method is used for band selection. The specific steps are as follows:

(7a)将高光谱图像中的220个波段组成的波段集合记为X,设置一个空集合S=[];(7a) Denote the band set composed of 220 bands in the hyperspectral image as X, and set an empty set S=[];

(7b)根据求得的SSIM值,从波段集合X选择一个波段,将其加入空集合S,得到已选波段集合S1,在原始波段集X中去除选择出的第一个波段,得到待选波段集合X-S1(7b) According to the obtained SSIM value, select a band from the band set X, add it to the empty set S, and obtain the selected band set S 1 , remove the selected first band from the original band set X, and obtain Selected band set XS 1 ;

从220个SSIM值中选出最大的SSIM值,把其对应的波段图像作为选出来的第一个波段,并把此波段记为p1,将此波段加入空集合S,得到已选波段集合S1=[p1],在原始波段集X中去除掉波段p1,得到待选波段集合为X-S1,其波段个数为219;Select the largest SSIM value from 220 SSIM values, take the corresponding band image as the first selected band, and record this band as p 1 , add this band to the empty set S, and get the selected band set S 1 =[p 1 ], the band p 1 is removed from the original band set X, and the band set to be selected is XS 1 , and the number of bands is 219;

(7c)根据改进的公式从待选波段集合X-S1中选择第二个波段,将其加入S1得到已选波段集合S2,在待选集合X-S1中去除选择出的第二个波段,得到新的待选波段集合X-S2 (7c) Select the second band from the band set XS 1 to be selected according to the improved formula, add it to S 1 to obtain the set S 2 of the selected bands, remove the selected second band from the set XS 1 to be selected, Get new candidate band set XS 2

把MRMR波段选择方法,所用公式中波段与样本标签之间的互信息替换为图像质量评价值SSIM,改进的公式如下所示:In the MRMR band selection method, the mutual information between the band and the sample label in the formula used is replaced by the image quality evaluation value SSIM, and the improved formula is as follows:

根据上式选择第二个波段,其中xk′是待选波段集合X-S1中的一个波段,k=1,2...219,xq′是已选波段集合S1中的一个波段,此时的已选波段集合中只有一个波段,即(7b)中选出来的波段p1,此公式的目的是选出SSIM值大的波段同时此波段又与已选波段集合中波段的冗余度最小。把选出来的第二个波段记为p2,将此波段加入波段集合S1,得到已选波段集合S2=[p1p2],S2表示已选波段集合中有两个波段,在X-S1集合中去除选择出的第二个波段,得到新的待选波段集合X-S2,其波段个数为218,参数α用来调整图像质量评价值SSIM和波段之间冗余度所占的重要性,在Indian pines图像上α设为1.573;Select the second band according to the above formula, where x k ′ is a band in the band set XS 1 to be selected, k=1,2...219, x q ′ is a band in the set S 1 of the selected bands, At this time, there is only one band in the selected band set, that is, the band p 1 selected in (7b). The purpose of this formula is to select the band with a large SSIM value and the redundancy of this band with the bands in the selected band set minimum. Record the second selected band as p 2 , add this band to the band set S 1 , and obtain the selected band set S 2 =[p 1 p 2 ], S 2 means that there are two bands in the selected band set, Remove the selected second band from the XS 1 set to get a new candidate band set XS 2 , the number of bands is 218, and the parameter α is used to adjust the image quality evaluation value SSIM and the redundancy between the bands The importance of , α is set to 1.573 on the Indian pines image;

(7d)根据改进的公式从所述待选波段集合X-S2中选择第三个波段,将其加入S2得到已选波段集合S3,在待选波段集合X-S2中去除选择出的第三个波段,得到新的待选波段集合X-S3,改进的公式如下所示:(7d) Select the third band from the candidate band set XS 2 according to the improved formula, add it to S 2 to obtain the selected band set S 3 , remove the selected third band from the candidate band set XS 2 bands to get a new set of bands to be selected XS 3 , the improved formula is as follows:

根据上式选择第三个波段,其中xk′为待选波段集合X-S2中的一个波段,k=1,2...218,xq′是已选波段集合S2中的一个波段,此时的已选波段集合中有两个波段,即(7b)中选出来的波段p1和(7c)中选出来的波段p2,此公式的目的是选出SSIM值大的波段同时此波段又与已选波段集合中波段的冗余度最小。把选出来的第三个波段记为p3,将此波段加入S2,得到已选波段集合S3=[p1p2p3],S3表示已选波段集合中有三个波段,在X-S2集合中去除选择出的第三个波段,得到新的待选波段集合X-S3,其波段个数为217;Select the third band according to the above formula, where x k ′ is a band in the band set XS 2 to be selected, k=1,2...218, x q ′ is a band in the set S 2 of the selected bands, At this time, there are two bands in the selected band set, that is, the band p 1 selected in (7b) and the band p 2 selected in (7c). The purpose of this formula is to select the band with a large SSIM Minimum redundancy with the bands in the Selected Bands Set. Record the selected third band as p 3 , add this band to S 2 , and get the selected band set S 3 =[p 1 p 2 p 3 ], S 3 means that there are three bands in the selected band set, in Remove the selected third band from the XS 2 set to obtain a new candidate band set XS 3 , the number of which is 217;

(7e)根据改进的公式从待选波段集合X-Sm-1中选择第m个波段,将其加入Sm-1得到已选波段集合Sm,在待选波段集合X-Sm-1中去除选择出的第m个波段,得到新的待选波段集合X-Sm (7e) Select the mth band from the candidate band set XS m-1 according to the improved formula, add it to S m-1 to obtain the selected band set S m , and remove the selection from the candidate band set XS m-1 out of the mth band, get a new set of bands to be selected XS m

根据上式选择第m个波段,其中xk′为待选波段集合X-Sm-1中的一个波段,k=1,2...N-(m-1),xq′是已选波段集合Sm-1中的一个波段,此时的已选波段集合中有m-1个波段,即通过上述步骤选出来的波段p1p2...pm-1,此公式的目的是选出SSIM值大的波段同时此波段又与已选波段集合的波段的冗余度最小。把选出来的第m个波段记为pm,将此波段加入已选波段集合Sm-1中得到已选波段集合Sm=[p1p2p3...pm-1pm],Sm表示已选波段集合中有m个波段,在X-Sm-1集合中去除选择出的第m个波段,得到新的待选波段集合X-SmSelect the mth band according to the above formula, where x k ′ is a band in the candidate band set XS m-1 , k=1,2...N-(m-1), x q ′ is the selected band A band in the set S m-1 . At this time, there are m-1 bands in the selected band set, that is, the band p 1 p 2 ...p m-1 selected through the above steps. The purpose of this formula is A band with a large SSIM value is selected, and at the same time, the redundancy between this band and the bands in the selected band set is the smallest. Record the selected mth band as p m , add this band to the selected band set S m-1 to get the selected band set S m =[p 1 p 2 p 3 ...p m-1 p m ], S m represents that there are m bands in the selected band set, remove the selected m band in the XS m-1 set, and obtain a new candidate band set XS m ;

(7f):重复执行步骤(7e),逐步选择波段,直到达到所需的波段数目p,此时已选集合Sp中即为所需波段。(7f): Repeat step (7e) to gradually select bands until the required number of bands p is reached. At this time, the required bands are in the selected set S p .

以下结合仿真图对本发明的效果做进一步的说明。The effect of the present invention will be further described in conjunction with the simulation diagram below.

仿真过程包括有:The simulation process includes:

1.仿真条件:1. Simulation conditions:

本发明的仿真实验采用的硬件测试平台是:处理器为Inter Core i7-4720HQ,主频为2.60GHz,内存8GB;软件平台为:Windows 10旗舰版64位操作系统、Matlab R2015a进行仿真测试。The hardware test platform adopted in the simulation experiment of the present invention is: the processor is Inter Core i7-4720HQ, the main frequency is 2.60GHz, and the internal memory is 8GB; the software platform is: Windows 10 Ultimate Edition 64-bit operating system, Matlab R2015a for simulation testing.

2.仿真数据:2. Simulation data:

本发明中采用的是ROSIS-03光学传感器所记录的帕维亚大学的图像,以及通过机载可见光及红外成像光谱仪AVIRIS获取的印第安纳州高光谱图像进行分类算法仿真来验证本发明选择波段的有效性;将帕维亚大学的高光谱图像记为paviaU,印第安纳州高光谱图像记为Indian pines,这两个数据集是行业公认的高光谱数据处理实验数据。What adopted in the present invention is the image of the University of Pavia recorded by the ROSIS-03 optical sensor, and the hyperspectral image of Indiana obtained by the airborne visible light and infrared imaging spectrometer AVIRIS to carry out the classification algorithm simulation to verify the effectiveness of the selected band of the present invention The hyperspectral image of the University of Pavia is recorded as paviaU, and the hyperspectral image of Indiana is recorded as Indian pines. These two data sets are industry-recognized experimental data for hyperspectral data processing.

上述高光谱数据以及对应的ground truth图都来自于:The above hyperspectral data and the corresponding ground truth images are from:

http://www.ehu.es/ccwintco/index.php?title=Hyperspectral_Remote_Sensing_Sceneshttp://www.ehu.es/ccwintco/index.php?html title=Hyperspectral_Remote_Sensing_Scenes

3.仿真内容:3. Simulation content:

为了验证选择的波段集合的有效性,一般在进行波段选择后,会使用所选波段对应的高光谱数据,以ground truth图中的类别作为标签,对高光谱图像进行分类,以分类准确度作为波段选择性能的判断标准。In order to verify the effectiveness of the selected band set, generally after band selection, the hyperspectral data corresponding to the selected band will be used, and the category in the ground truth image will be used as the label to classify the hyperspectral image, and the classification accuracy will be used as Criteria for judging band selection performance.

(3.1)仿真一:(3.1) Simulation 1:

实验选择三个现有的具有代表性的无监督波段选择方法与本发明提到的方法做比较。这三种方法分别是SBBS(基于相似性的波段选择方法)、MVPCA(最大方差主分量分析)、k-medoids(K中心点波段选择方法);In the experiment, three existing representative unsupervised band selection methods are selected for comparison with the method mentioned in the present invention. These three methods are SBBS (similarity-based band selection method), MVPCA (maximum variance principal component analysis), k-medoids (K center point band selection method);

对于Indian pines图像,使用本发明的方法与SBBS、MVPCA和k-medoids都选取了100个波段,选择10%的已知标记样本作为训练样本,剩余的已知标记样本作为测试样本,使用支撑向量机(svm)分类器做分类实验。本高光谱图像实验中所有的svm分类器都使用libsvm-3.20实现,参数设为c=1024,g=2-7,其余参数使用默认值;For the Indian pines image, use the method of the present invention and SBBS, MVPCA and k-medoids to select 100 bands, select 10% of the known labeled samples as training samples, and the remaining known labeled samples as testing samples, using support vectors machine (svm) classifier for classification experiments. All svm classifiers in this hyperspectral image experiment are implemented using libsvm-3.20, the parameters are set to c=1024, g= 2-7 , and the rest parameters use default values;

下面通过仿真结果分析阐述本发明的有效性;结果如附图2;The effectiveness of the present invention is set forth below by simulation result analysis; Result is as accompanying drawing 2;

附图2是在Indian pines高光谱图像上得到的本发明方法与现有三种波段选择方法的效果对比曲线图,波段选择方法选择的波段子集包含的判别信息越多,得到的分类准确度越高。图中呈现了四种方法分别挑选出10至100个波段后用于分类得到的准确度。从图中可以看出,本发明方法(SSIM)除了在10波段时略低于k-medoids,但效果要比SBBS和MVPCA好,在其他波段上效果都要优于三个对比方法,尤其是本发明挑选出40个波段所取得的效果就已经优于现有三种方法获取的100个波段的时候的性能,说明本发明的波段选择性能非常优秀,包含的了丰富的判别信息,降维的效果好。Accompanying drawing 2 is the effect comparison curve diagram of the present invention method and existing three kinds of band selection methods obtained on Indian pines hyperspectral image, the more discriminant information that the band subset that the band selection method selects comprises, the classification accuracy that obtains is more high. The figure shows the accuracy obtained by selecting 10 to 100 bands for classification by the four methods respectively. It can be seen from the figure that the method of the present invention (SSIM) is slightly lower than k-medoids in band 10, but the effect is better than SBBS and MVPCA, and the effect in other bands is better than the three comparison methods, especially The effect obtained by selecting 40 bands in the present invention is already better than the performance of the 100 bands obtained by the existing three methods, which shows that the band selection performance of the present invention is very good, contains rich discriminant information, and reduces dimensionality. The effect is good.

(3.2)仿真二:(3.2) Simulation 2:

对于paviaU图像,使用本发明的方法与SBBS、MVPCA和k-medoids都选取了50个波段,选择1%的已知标记样本作为训练样本,剩余的已知标记样本作为测试样本,使用支撑向量机(svm)分类器做分类实验。本高光谱图像实验中所用的svm分类器都使用libsvm-3.20实现,参数设为c=1024,g=2,其余参数使用默认值;结果如附图3;For the paviaU image, use the method of the present invention and SBBS, MVPCA and k-medoids to select 50 bands, select 1% of the known labeled samples as training samples, and use the remaining known labeled samples as testing samples, use the support vector machine (svm) classifier for classification experiments. The svm classifier used in this hyperspectral image experiment is implemented using libsvm-3.20, the parameters are set to c=1024, g=2, and the rest parameters use default values; the results are shown in Figure 3;

附图3是在paviaU高光谱图像上得到的本发明方法与现有三种波段选择方法的效果对比曲线图。图中呈现了四种方法分别挑选出5至50个波段后用于分类得到的准确度。从图中可以看出,在整个波段变化范围上本发明方法的效果明显优于现有三种方法,而且本发明在挑选10个波段时,识别性能已经趋于稳定水平,而且分类效果很好,达到了其他方法选择50个波段时的水平,说明本发明方法在挑选出较少的波段时就可以达到最优效果。Accompanying drawing 3 is the comparison curve of the effect of the method of the present invention and the existing three band selection methods obtained on the paviaU hyperspectral image. The figure shows the accuracy obtained by selecting 5 to 50 bands for classification by the four methods respectively. As can be seen from the figure, the effect of the method of the present invention is obviously better than that of the existing three methods in the entire range of band variation, and when the present invention selects 10 bands, the recognition performance has tended to a stable level, and the classification effect is very good. It has reached the level when other methods select 50 bands, indicating that the method of the present invention can achieve the optimal effect when selecting less bands.

综上,本发明的效果明显优于其它几种方法,在不同波段数目的情况下,除了个别的波段数,相对其他方法识别性能都有了明显提升,表明本发明选择的波段子集中包含丰富的判别信息,有较好的识别性能。To sum up, the effect of the present invention is obviously better than several other methods. In the case of different numbers of bands, except for the number of individual bands, the recognition performance of other methods has been significantly improved, indicating that the band subset selected by the present invention contains abundant The discriminant information has better recognition performance.

Claims (3)

1.一种基于图像质量评价的高光谱图像波段选择方法,其特征在于,包括有如下步骤:1. a hyperspectral image band selection method based on image quality evaluation, is characterized in that, comprises the steps: (1)输入高光谱图像Α;(1) input hyperspectral image α; (2)将所述高光谱图像Α的光谱值归一化到0-1之间,得到归一化后的高光谱图像Α′;(2) normalizing the spectral value of the hyperspectral image A to between 0-1 to obtain a normalized hyperspectral image A'; (3)将所述归一化后的高光谱图像Α′中的每个波段图像记为xi,其中xi表示第i个波段图像,i=1,2...N,对归一化后的高光谱图像Α′中的各个波段图像求平均,得到平均图像,记为y′;(3) Record each band image in the normalized hyperspectral image A' as x i , where x i represents the i-th band image, i=1, 2...N, for normalization Each band image in the hyperspectral image Α ' after being transformed is averaged, obtains average image, is denoted as y '; (4)对所述归一化后的高光谱图像Α′中每个波段图像xi和平均图像y′进行量化,得到量化后的波段图像xi′和量化后的平均图像y′;(4) Quantify each band image x i and average image y' in the normalized hyperspectral image A' to obtain quantized band image x i ' and quantized average image y'; (5)利用质量评价准则,以量化后的平均图像y′为参考,求出所述量化后的波段图像xi′的质量评价值,第i个量化后的波段图像xi′的质量评价值,记为Q(xi′,y′);(5) Using the quality evaluation criteria and taking the quantized average image y′ as a reference, obtain the quality evaluation value of the quantized band image x i ′, and the quality evaluation value of the ith quantized band image x i ′ Value, denoted as Q( xi ′, y′); (6)利用所述的质量评价值Q(xi′,y′),替换MRMR波段选择方法所用公式中波段与样本标签之间的互信息,得到替换后的公式:(6) Using the quality evaluation value Q( xi ', y'), replace the mutual information between the band and the sample label in the formula used in the MRMR band selection method, and obtain the replaced formula: 其中m指的是选择第m个波段,此波段是X-Sm-1波段集合中的一个波段,X为波段全集,Sm-1为已选出的m-1个波段的集合,X-Sm-1为待进行选择的波段的集合,xi′是待进行选择的一个波段,I(xi′,xq′)指的是波段xi′与波段xq′的互信息,xq′是已经选出来的波段,Q(xi′,y′)指的是波段xi′和波段y′的图像质量评价值,参数α用来调整图像质量评价值和波段之间冗余度所占的重要性;Among them, m refers to the selection of the mth band, which is a band in the XS m-1 band set, X is the full set of bands, S m-1 is the set of selected m-1 bands, and XS m- 1 is the set of bands to be selected, x i ′ is a band to be selected, I( xi ′, x q ′) refers to the mutual information of band x i ′ and band x q ′, x q ′ is the selected band, Q( xi ′, y′) refers to the image quality evaluation value of the band xi ′ and the band y′, and the parameter α is used to adjust the image quality evaluation value and the redundancy between the bands. the importance of (7)根据所述替换后的公式,得到改进的MRMR波段选择方法,并利用该方法进行波段选择。(7) According to the formula after the replacement, an improved MRMR band selection method is obtained, and the band selection is performed using this method. 2.根据权利要求1所述的基于图像质量评价的高光谱图像波段选择方法,其特征在于,步骤(5)中所述的质量评价值,采用基于结构相似性的质量评价准则SSIM求取,按照如下步骤实现:2. the hyperspectral image band selection method based on image quality evaluation according to claim 1, is characterized in that, the quality evaluation value described in step (5), adopts the quality evaluation criterion SSIM based on structural similarity to ask for, Follow the steps below to achieve: (5a)计算量化后的波段图像xi′,i=1,2...N和量化后的平均图像y′的平均强度(5a) Calculate the average intensity of the quantized band image x i ', i=1,2...N and the quantized average image y' 表示量化后的波段图像xi′的平均强度,μy′表示量化后的平均图像y′的平均强度,M指的是波段图像xi′和平均图像y′的像素点数,表示波段图像xi′的第j个像素点,yj′表示平均图像y′的第j个像素点,j=1,2...M; Indicates the average intensity of the quantized band image x i ', μ y' indicates the average intensity of the quantized average image y', M refers to the number of pixels in the band image x i ' and the average image y', Indicates the jth pixel of the band image x i ', y j 'indicates the jth pixel of the average image y', j=1,2...M; (5b)计算量化后的波段图像xi′和量化后的平均图像y′的亮度对比函数I(xi′,y′)(5b) Calculate the brightness contrast function I(x i ′, y′) of the quantized band image x i ′ and the quantized average image y′ 其中C1=(K1L)2,参数L可以取像素值变化范围内的任意值,参数K1是一个小于1的常数;Wherein C 1 =(K 1 L) 2 , the parameter L can take any value within the variation range of the pixel value, and the parameter K1 is a constant less than 1; (5c)计算量化后的波段图像xi′和量化后的平均图像y′的标准差(5c) Calculate the standard deviation of the quantized band image x i ' and the quantized mean image y' 其中为量化后的波段图像xi′的标准差,δy′为量化后的平均图像y′的标准差;in is the standard deviation of the quantized band image x i ', and δ y' is the standard deviation of the quantized average image y'; (5d)计算量化后的波段图像xi′和量化后的平均图像y′的对比度对比函数C(xi′,y′)(5d) Calculate the contrast function C(x i ′, y′) of the quantized band image x i ′ and the quantized average image y′ 其中C2=(K2L)2,参数K2是一个小于1的常数;Where C 2 =(K 2 L) 2 , parameter K 2 is a constant less than 1; (5e)计算量化后的波段图像xi′和量化后的平均图像y′的结构对比函数S(xi′,y′)(5e) Calculate the structure comparison function S(x i ′, y′) of the quantized band image x i ′ and the quantized average image y′ 其中 的定义如下所示in is defined as follows (5f)计算SSIM的值(5f) Calculate the value of SSIM SSIM(xi′,y′)=[I(xi′,y′)]η[C(xi′,y′)]β[S(xi′,y′)]γ SSIM(x i ′,y′)=[I(x i ′,y′)] η [C(x i ′,y′)] β [S(x i ′,y′)] γ η、β、γ为大于零的常数,控制I(xi′,y′)、C(xi′,y′)、S(xi′,y′)在求SSIM值时所占的重要性,SSIM(xi′,y′)即步骤(5)记为Q(xi′,y′)的图像质量评价值。η, β, and γ are constants greater than zero, controlling the importance of I( xi ′, y′), C( xi ′, y′), and S( xi ′, y′) in calculating the SSIM value SSIM( xi ′, y′) is the image quality evaluation value recorded as Q( xi ′, y′) in step (5). 3.根据权利要求2所述的基于图像质量评价的高光谱图像波段选择方法,其特征在于,步骤(7)中所述的波段选择,其选择的波段数记为P,按如下步骤实现:3. the hyperspectral image band selection method based on image quality evaluation according to claim 2, is characterized in that, the band selection described in step (7), the band number of its selection is denoted as P, realizes as follows: (7a)将高光谱图像中的N个波段组成的波段集合记为X,设置一个空集合S=[];(7a) Denote the band set composed of N bands in the hyperspectral image as X, and set an empty set S=[]; (7b)根据所述的SSIM值,从波段集合X选择一个波段,将其加入空集合S,得到已选波段集合S1,在原始波段集X中去除选择出的第一个波段,得到待选波段集合X-S1(7b) According to the SSIM value, select a band from the band set X, add it to the empty set S, and obtain the selected band set S 1 , remove the selected first band from the original band set X, and obtain Selected band set XS 1 ; 从N个SSIM值中选出最大的SSIM值,把其对应的波段图像作为选出来的第一个波段,并把此波段记为p1,将此波段加入空集合S,得到已选波段集合S1=[p1],在原始波段集X中去除掉波段p1,得到待选波段集合为X-S1,其波段个数为N-1个;Select the largest SSIM value from N SSIM values, use its corresponding band image as the first selected band, and record this band as p 1 , add this band to the empty set S, and get the selected band set S 1 =[p 1 ], the band p 1 is removed from the original band set X, and the band set to be selected is XS 1 , and the number of bands is N-1; (7c)根据改进的公式从所述待选波段集合X-S1中选择第二个波段,将其加入S1得到已选波段集合S2,在待选集合X-S1中去除选择出的第二个波段,得到新的待选波段集合X-S2(7c) Select the second band from the candidate band set XS 1 according to the improved formula, add it to S 1 to obtain the selected band set S 2 , remove the selected second band from the candidate band set XS 1 Band, get the new band set XS 2 to be selected; 把MRMR波段选择方法,所用公式中波段与样本标签之间的互信息替换为质量评价值SSIM,改进的公式如下所示:In the MRMR band selection method, the mutual information between the band and the sample label in the formula used is replaced by the quality evaluation value SSIM, and the improved formula is as follows: 根据上式选择第二个波段,其中xk′是待选波段集合X-S1中的一个波段,k=1,2...N-1,xq′是已选波段集合S1中的一个波段,此时的已选波段集合中只有一个波段,即(7b)中选出来的波段p1,此公式的目的是选出SSIM值大的波段同时此波段又与已选波段集合中波段的冗余度最小;把选出来的第二个波段记为p2,将此波段加入波段集合S1,得到已选波段集合S2=[p1p2],S2表示已选波段集合中有两个波段,在X-S1集合中去除选择出的第二个波段,得到新的待选波段集合X-S2,其波段个数为N-2,参数α用来调整图像质量评价值SSIM和波段之间冗余度所占的重要性;Select the second band according to the above formula, where x k ′ is a band in the band set XS 1 to be selected, k=1,2...N-1, x q ′ is a band in the set S 1 of the selected bands At this time, there is only one band in the selected band set, that is, the band p 1 selected in (7b). The purpose of this formula is to select a band with a large SSIM The margin is the smallest; record the second selected band as p 2 , add this band to the band set S 1 , and get the selected band set S 2 =[p 1 p 2 ], S 2 means that there are Two bands, remove the selected second band in the XS 1 set to get a new candidate band set XS 2 , the number of bands is N-2, and the parameter α is used to adjust the image quality evaluation value SSIM and the band The importance of inter-redundancy; (7d)根据改进的公式从所述待选波段集合X-S2中选择第三个波段,将其加入S2得到已选波段集合S3,在待选波段集合X-S2中去除选择出的第三个波段,得到新的待选波段集合X-S3(7d) Select the third band from the candidate band set XS 2 according to the improved formula, add it to S 2 to obtain the selected band set S 3 , remove the selected third band from the candidate band set XS 2 bands to obtain a new band set XS 3 to be selected; 根据上式选择第三个波段,其中波段图像xk′为待选波段集合X-S2中的一个波段,k=1,2...N-2,波段图像xq′是已选波段集合S2中的一个波段,此时的已选波段集合中有两个波段,即(7b)中选出来的波段p1和(7c)中选出来的波段p2,此公式的目的是选出SSIM值大的波段同时此波段又与已选波段集合中波段的冗余度最小;把选出来的第三个波段记为p3,将此波段加入S2,得到已选波段集合S3=[p1p2p3],S3表示已选波段集合中有三个波段,在X-S2集合中去除选择出的第三个波段,得到新的待选波段集合X-S3,其波段个数为N-3;Select the third band according to the above formula, where the band image x k ′ is a band in the candidate band set XS 2 , k=1,2...N-2, and the band image x q ′ is the selected band set S 2 , there are two bands in the selected band set at this time, that is, the band p 1 selected in (7b) and the band p 2 selected in (7c). The purpose of this formula is to select At the same time, this band has the smallest redundancy with the bands in the selected band set; record the third selected band as p 3 , add this band to S 2 , and get the selected band set S 3 =[p 1 p 2 p 3 ], S 3 means that there are three bands in the selected band set, remove the selected third band in the XS 2 set, and get a new candidate band set XS 3 , the number of bands is N-3 ; (7e)根据改进的公式从所述待选波段集合X-Sm-1中选择第m个波段,将其加入Sm-1得到已选波段集合Sm,在待选波段集合X-Sm-1中去除选择出的第m个波段,得到新的待选波段集合X-Sm(7e) Select the mth band from the candidate band set XS m-1 according to the improved formula, add it to S m-1 to obtain the selected band set S m , in the candidate band set XS m-1 Remove the selected mth band to obtain a new set of bands to be selected XS m ; 根据上式选择第m个波段,其中xk′为待选波段集合X-Sm-1中的一个波段,k=1,2...N-(m-1),波段图像xq′是已选波段集合Sm-1中的一个波段,此时的已选波段集合中有m-1个波段,即通过上述步骤选出来的波段p1p2...pm-1,此公式的目的是选出SSIM值大的波段同时此波段又与已选波段集合的波段的冗余度最小;把选出来的第m个波段记为pm,将此波段加入已选波段集合Sm-1中得到已选波段集合Sm=[p1p2p3...pm-1pm],Sm表示已选波段集合中有m个波段,在X-Sm-1集合中去除选择出的第m个波段,得到新的待选波段集合X-SmSelect the m-th band according to the above formula, where x k ′ is a band in the band set XS m-1 to be selected, k=1,2...N-(m-1), and the band image x q ′ is Select a band in the band set S m-1 . At this time, there are m-1 bands in the selected band set, that is, the band p 1 p 2 ...p m-1 selected through the above steps. The formula The purpose is to select a band with a large SSIM value and at the same time, this band has the smallest redundancy with the bands in the selected band set; record the selected mth band as p m , and add this band to the selected band set S m- In 1 , get the selected band set S m = [p 1 p 2 p 3 ...p m-1 p m ], S m means that there are m bands in the selected band set, and remove the selection in the XS m-1 set The m-th wave band out, obtains the new band set XS m to be selected; (7f):重复执行步骤(7e),逐步选择波段,直到达到所需的波段数目p,此时已选集合Sp中即为所需波段。(7f): Repeat step (7e) to gradually select bands until the required number of bands p is reached. At this time, the required bands are in the selected set S p .
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