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CN106251368B - The fusion method of SAR image and multispectral image based on BEMD - Google Patents

The fusion method of SAR image and multispectral image based on BEMD Download PDF

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CN106251368B
CN106251368B CN201610407820.1A CN201610407820A CN106251368B CN 106251368 B CN106251368 B CN 106251368B CN 201610407820 A CN201610407820 A CN 201610407820A CN 106251368 B CN106251368 B CN 106251368B
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刘广
郭华东
李磊
宋瑞
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Institute of Remote Sensing and Digital Earth of CAS
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Abstract

A kind of fusion method of SAR image and multispectral image of the present invention, comprising: IHS is carried out to multispectral image and converts to obtain I, H, S component;BEMD is carried out respectively to SAR image and I component to convert to obtain the IMF component and residual components of SAR image and I component;The IMF component and residual components for adjusting SAR image and I component are consistent the IMF component number of the two, and corresponding residual components are added in extra IMF component;The IMF component of SAR image adjusted and I component and IMF component and residual components are merged with residual components respectively;BEMD inverse transformation is carried out according to fusion results, obtains fused I component;IHS inverse transformation is carried out to fused I component, H component and S component, obtains fused image.The fusion method of SAR image and multispectral image based on BEMD of the invention saves preferable texture information, and reliable guarantee can be provided for the specific subdivision of similar atural object, is improved to non-linear, non-stationary signal analysis and processing capacity.

Description

基于BEMD的SAR影像与多光谱影像的融合方法Fusion method of SAR image and multispectral image based on BEMD

技术领域technical field

本发明涉及影像处理领域,尤其涉及一种基于BEMD的SAR影像与多光谱影像的融合方法。The invention relates to the field of image processing, in particular to a fusion method of a BEMD-based SAR image and a multispectral image.

背景技术Background technique

随着传感器技术、遥感技术等的迅猛发展,多平台、多层面、多时相、多传感器、多光谱和多分辨率的遥感影像构成了多区域的多源遥感信息。不同的传感器具有不同的成像机理且工作于不同的波长范围,因此所获得的影像往往反映地物不同方面的特征。通过单一传感器所提供的信息可能是不全面、不一致、甚至是不准确的。为了更有效的利用日益复杂的多源遥感影像信息,与之相关的影像融合技术应运而生。With the rapid development of sensor technology and remote sensing technology, multi-platform, multi-layer, multi-temporal, multi-sensor, multi-spectral and multi-resolution remote sensing images constitute multi-regional and multi-source remote sensing information. Different sensors have different imaging mechanisms and work in different wavelength ranges, so the obtained images often reflect the characteristics of different aspects of ground objects. The information provided by a single sensor may be incomplete, inconsistent, or even inaccurate. In order to use the increasingly complex multi-source remote sensing image information more effectively, the related image fusion technology emerges as the times require.

合成孔径雷达(Synthetic Aperture Radar,SAR)是一种微波传感器,其通过主动发射电磁波并接收返回的电磁波信息实现遥感成像。相对于光学传感器来说,合成孔径雷达具有全天时、全天候、高分辨率的成像能力,并且其作用距离远,成像范围广,穿透能力强,解决了光学遥感传感器受时间及天气的影响问题。Synthetic Aperture Radar (SAR) is a microwave sensor that realizes remote sensing imaging by actively emitting electromagnetic waves and receiving the returned electromagnetic wave information. Compared with optical sensors, synthetic aperture radar has all-weather, all-weather, high-resolution imaging capabilities, and it has a long range of action, a wide imaging range, and strong penetrating ability, which solves the problem of optical remote sensing sensors affected by time and weather. question.

目前,常用的融合方法有:IHS变换、PCA变换、Brovey变换以及小波变换,其中,IHS变换、PCA变换和Brovey变换通常会导致比较严重的光谱扭曲,而小波变换则解决了光谱扭曲的问题。然而,上述方法主要用于多光谱影像及全色影像的融合,在本文提出的对光学影像与高分辨率SAR影像进行融合时,采用上述方法会丢失大量纹理信息,在对细微地物进行分类提取时有很大难度。At present, the commonly used fusion methods are: IHS transform, PCA transform, Brovey transform and wavelet transform. Among them, IHS transform, PCA transform and Brovey transform usually lead to serious spectral distortion, while wavelet transform solves the problem of spectral distortion. However, the above methods are mainly used for the fusion of multi-spectral images and panchromatic images. When the optical image and high-resolution SAR image are fused in this paper, a large amount of texture information will be lost when the above method is used, and it is difficult to classify subtle objects. It is very difficult to extract.

下面,对上述的遥感影像融合领域的现有技术做一个较为详细的描述,以便更好地理解本发明。Hereinafter, a more detailed description of the above-mentioned prior art in the field of remote sensing image fusion is made in order to better understand the present invention.

传统的遥感影像融合一般采用光学全色影像与多光谱影像进行融合,传统的融合方法包括:IHS变换、主成分变换(PCA)、比值融合法、主成分分析法(K-L变换)、加权融合法、小波变换法等。Traditional remote sensing image fusion generally uses optical panchromatic images and multispectral images for fusion. Traditional fusion methods include: IHS transform, principal component transform (PCA), ratio fusion method, principal component analysis (K-L transform), weighted fusion method , wavelet transform, etc.

以IHS变换为例:将由光学、热红外和雷达(微波)等方式得到的不同波段遥感数据合成的一个对物体颜色属性进行描述的RGB颜色空间变换到以亮度(Intensity)、色度H(Hue)、饱和度S(Saturation)来描述影像的IHS彩色空间。Take IHS transformation as an example: transform a RGB color space that describes the color attributes of objects, synthesized from remote sensing data of different bands obtained by optical, thermal infrared and radar (microwave), into an RGB color space with intensity (Intensity), chromaticity H (Hue). ), saturation S (Saturation) to describe the IHS color space of the image.

IHS变换的融合算法如下:The fusion algorithm of IHS transform is as follows:

正变公式:Positive formula:

H=arctg(v1/v2)H=arctg(v 1 /v 2 )

式中:I表示亮度,H表示色度,S表示饱和度,v1、v2是为了计算I、H引入的中间变量。In the formula: I represents brightness, H represents chroma, S represents saturation, and v1 and v2 are intermediate variables introduced to calculate I and H.

反换公式:Reverse formula:

以小波变换为例:小波变换融合的过程如下:Take wavelet transform as an example: the process of wavelet transform fusion is as follows:

小波变换定义为: The wavelet transform is defined as:

变换核函数为: The transformation kernel function is:

其中,为一个基本小波,又称母小波,或者是小波基,它是以t=0为为中心的带通函数,且时域平均值 in, is a basic wavelet, also known as mother wavelet, or wavelet basis, which is a bandpass function centered at t=0, and the time domain average value

小波变换在于,以空间大尺度处理低频信息,以空间小尺度处理高频信息。The wavelet transform is to process low-frequency information on a large spatial scale and high-frequency information on a small spatial scale.

目前,SAR影像与光学影像的融合方法中采用的多尺度分析方法主要包括:二维离散小波变换、平移不变离散小波变换以及表示各向异性的曲波变换等。本领域技术人员应当理解,小波变换在本质上是一种线性变换,对非线性,非平稳信号的处理能力有限;而且,小波变换是非适应的,其融合效果取决于小波基的选择。At present, the multi-scale analysis methods used in the fusion method of SAR image and optical image mainly include: two-dimensional discrete wavelet transform, translation-invariant discrete wavelet transform, and curvelet transform representing anisotropy. Those skilled in the art should understand that the wavelet transform is essentially a linear transform, and has limited processing capability for nonlinear and non-stationary signals; moreover, the wavelet transform is non-adaptive, and its fusion effect depends on the selection of the wavelet base.

因此,需要一种将高分辨率SAR影像与光学影像进行融合的方法,该方法能够克服现有方法在处理非线性、非平稳信号上较为乏力的缺陷,并且同时能够保持多源影像中的光谱信息、边缘信息及纹理信息。Therefore, there is a need for a method for fusing high-resolution SAR images with optical images, which can overcome the shortcomings of existing methods that are relatively weak in processing nonlinear and non-stationary signals, and at the same time can maintain the spectrum in multi-source images. information, edge information and texture information.

本说明书中的部分关键术语的缩略语的意义在此被示出,包括:EMD一维经验模态分解(Empirical Mode Decomposition,EMD);二维经验模态分解(BidimensionalEmpirical Mode Decomposition,BEMD);本征模函数(Intrinsic ModeFunction,IMF);合成孔径雷达((SyntheticApertureRadar,SAR)。The meanings of the abbreviations of some key terms in this specification are shown here, including: EMD One-dimensional Empirical Mode Decomposition (EMD); Two-dimensional Empirical Mode Decomposition (BEMD); Intrinsic ModeFunction (IMF); Synthetic Aperture Radar (SyntheticApertureRadar, SAR).

发明内容SUMMARY OF THE INVENTION

本发明的目的是提供一种能够克服上述缺陷的合成孔径雷达SAR影像与多光谱影像的融合方法。The purpose of the present invention is to provide a fusion method of synthetic aperture radar SAR image and multi-spectral image which can overcome the above-mentioned defects.

在第一方面,本发明提供了一种合成孔径雷达SAR影像与多光谱影像的融合方法,其特征在于:对多光谱影像进行IHS变换,得到所述多光谱影像的I分量、H分量和S分量;对所述SAR影像和所述I分量分别进行二维经验模态分解BEMD变换,得到所述SAR影像的本征模函数IMF分量和残余分量,以及所述I分量的IMF分量和残余分量;对所述SAR影像的IMF分量和残余分量,以及所述I分量的IMF分量和残余分量进行调整,使所述SAR影像的IMF分量与所述I分量的IMF分量个数保持一致,并将多余的IMF分量加入对应的残余分量;分别将所述调整后的SAR影像的IMF分量与I分量的IMF分量,以及调整后的SAR影像的残余分量与I分量的残余分量进行融合;根据融合结果进行BEMD逆变换,得到融合后的I分量;对融合后的I分量、所述H分量和所述S分量进行IHS逆变换,得到融合后的影像。In a first aspect, the present invention provides a method for fusing a synthetic aperture radar SAR image and a multispectral image, characterized in that: performing IHS transformation on the multispectral image to obtain the I component, the H component and the S component of the multispectral image. components; perform two-dimensional empirical mode decomposition BEMD transformation on the SAR image and the I component, respectively, to obtain the eigenmode function IMF component and residual component of the SAR image, and the IMF component and residual component of the I component ; Adjust the IMF component and residual component of the SAR image, and the IMF component and residual component of the I component, so that the IMF component of the SAR image is consistent with the number of IMF components of the I component, and the The redundant IMF component is added to the corresponding residual component; the IMF component of the adjusted SAR image and the IMF component of the I component, and the residual component of the adjusted SAR image and the residual component of the I component are respectively fused; according to the fusion result Perform inverse BEMD transformation to obtain the fused I component; perform inverse IHS transformation on the fused I component, the H component and the S component to obtain a fused image.

优选地,所述BEMD变换的步骤包括:对待进行BEMD变换的影像进行初始化;识别初始化后的影像中的极值点;在所述极值点满足预定阈值的情况下,通过对所述极值点进行拟合,得到影像的平均包络面;根据所述平均包络面提取影像的局部趋势;在所述局部趋势满足预定的IMF条件的情况下,将所述局部趋势判定为IMF分量;根据所述IMF分量计算残余分量;在所述残余分量满足预定单调条件的情况下,将所述残余分量判定为最终的残余分量。Preferably, the step of BEMD transformation includes: initializing the image to be subjected to BEMD transformation; identifying extreme value points in the initialized image; when the extreme value points satisfy a predetermined threshold, The points are fitted to obtain the average envelope surface of the image; the local trend of the image is extracted according to the average envelope surface; in the case that the local trend satisfies a predetermined IMF condition, the local trend is determined as an IMF component; A residual component is calculated according to the IMF component; in the case that the residual component satisfies a predetermined monotonic condition, the residual component is determined as the final residual component.

优选地,在所述局部趋势不满足IMF判定条件的情况下,用所述局部趋势代替初始化后的影像,继续寻找其中的极值点;在所述残余分量不满足单调条件的情况下,用所述残余分量代替初始化后的影像,继续寻找其中的极值点。Preferably, in the case that the local trend does not satisfy the IMF determination condition, use the local trend to replace the initialized image, and continue to find the extreme point in it; in the case that the residual component does not satisfy the monotonic condition, use The residual component replaces the initialized image, and continues to search for extreme points in it.

优选地,所述IMF判定条件根据在其中识别极值点的影像中的极值点与零点之间的关系以及所述平均包络面的值决定;所述单调条件通过两个相继判定出来的IMF分量计算得到。Preferably, the IMF determination condition is determined according to the relationship between the extreme point and the zero point in the image in which the extreme point is identified and the value of the average envelope surface; the monotonic condition is determined by two successively determined IMF components are calculated.

优选地,在对多光谱影像进行IHS变换的步骤之前,还包括:对所述SAR影像进行去噪;通过重采样统一去噪后的SAR影像和所述多光谱影像的像素分辨率;对重采样之后的SAR影像和多光谱影像进行影像配准。Preferably, before the step of performing IHS transformation on the multispectral image, the method further includes: denoising the SAR image; unifying the pixel resolution of the denoised SAR image and the multispectral image by resampling; After sampling, the SAR image and the multispectral image are registered.

优选地,在所述融合的步骤前,还包括:对所述调整后的SAR影像的IMF分量与I分量的IMF分量进行拉普拉斯高通滤波,并且对调整后的SAR影像的残余分量与I分量的残余分量进行拉普拉斯低通滤波;基于所述滤波的结果分别计算所述SAR影像中的IMF分量和残余分量中各像素的权重;其中,所述融合基于所述权重进行。Preferably, before the step of fusing, the method further includes: performing Laplace high-pass filtering on the IMF component of the adjusted SAR image and the IMF component of the I component, and performing Laplace high-pass filtering on the residual component of the adjusted SAR image and the IMF component of the I component. The residual component of the I component is subjected to Laplace low-pass filtering; the IMF component in the SAR image and the weight of each pixel in the residual component are respectively calculated based on the filtering result; wherein, the fusion is performed based on the weight.

本发明的基于BEMD的SAR影像与多光谱影像的融合方法保存了较好的纹理信息,能够对于同类地物的具体细分提供可靠保证,提高了对非线性、非平稳信号的分析及处理能力。The fusion method of SAR image and multispectral image based on BEMD of the present invention preserves better texture information, can provide reliable guarantee for the specific subdivision of similar ground objects, and improves the analysis and processing ability of nonlinear and non-stationary signals .

附图说明Description of drawings

图1为根据本发明实施例的基于BEMD的SAR与多光谱影像的融合方法的流程图;FIG. 1 is a flowchart of a fusion method of BEMD-based SAR and multispectral imagery according to an embodiment of the present invention;

图2为图1中的BEMD变换的流程图;Fig. 2 is the flow chart of the BEMD transformation in Fig. 1;

图3为基于小波变换的桂林地区的多源遥感影像的融合结果图;Fig. 3 is a fusion result diagram of multi-source remote sensing images in Guilin area based on wavelet transform;

图4为基于本发明的融合方法的桂林地区的多源遥感影像的融合结果图。FIG. 4 is a result diagram of fusion results of multi-source remote sensing images in Guilin area based on the fusion method of the present invention.

具体实施方式Detailed ways

下面通过附图和实施例,对本发明的技术方案做进一步的详细描述。The technical solutions of the present invention will be further described in detail below through the accompanying drawings and embodiments.

针对现有的遥感影像融合变换方法在处理非线性、非平稳信号上较为乏力的缺陷,本发明提出一种新的遥感影像融合变换方法。BEMD变换适用于非线性、非平稳信号的分析,具有较高信噪比;另外,BEMD依据信号自身的时间初读特征实现信号分解,最终融合效果不依赖任何基函数的选择,具有完全的自适应性。利用BEMD变换方法,本发明实现了SAR影像与高分光学影像的融合。Aiming at the defect that the existing remote sensing image fusion transformation method is relatively weak in processing nonlinear and non-stationary signals, the present invention proposes a new remote sensing image fusion transformation method. BEMD transform is suitable for the analysis of nonlinear and non-stationary signals, and has a high signal-to-noise ratio; in addition, BEMD realizes signal decomposition according to the time initial reading characteristics of the signal itself, and the final fusion effect does not depend on the selection of any basis function, and has complete self-determination. adaptability. Using the BEMD transform method, the present invention realizes the fusion of SAR image and high-resolution optical image.

首先,将本发明所采用的影像融合方法笼统地描述如下几个步骤。First, the following steps are generally described in the image fusion method adopted in the present invention.

1)对多源遥感影像融合的对象影像进行预处理。1) Preprocessing the object images fused by multi-source remote sensing images.

例如,可以选取以TerraSAR-X卫星获取的SAR影像和GF-1相机获取的多光谱影像进行影像融合。优选地,为保证融合效果,分别先对两种影像数据进行地理定标、几何校正、影像配准、滤波去噪等预处理。由于两种影像具有不同的空间分辨率,在进行影像配准之前需统一影像的像素分辨率;另外,由于SAR影像在获取时存在入射角,需在预处理过程中消除叠影。For example, the SAR image obtained by the TerraSAR-X satellite and the multispectral image obtained by the GF-1 camera can be selected for image fusion. Preferably, in order to ensure the fusion effect, preprocessing such as geo-scaling, geometric correction, image registration, filtering and denoising, etc. is performed on the two kinds of image data respectively. Since the two images have different spatial resolutions, the pixel resolutions of the images need to be unified before image registration; in addition, since the SAR images have an incident angle during acquisition, ghosting needs to be eliminated in the preprocessing process.

2)针对影像融合过程中的计算循环等问题,合理地选取影像像素和影像窗口的大小。影像像素大小可以选取8的倍数,优选地以正方形为最佳;且影像不宜过大,例如可以选取影像窗口大小为4000*4000。2) Aiming at the calculation cycle in the image fusion process, reasonably select the image pixels and the size of the image window. The image pixel size can be selected as a multiple of 8, preferably a square is the best; and the image should not be too large, for example, the image window size can be selected as 4000*4000.

3)对多光谱影像和SAR影像进行BEMD分解。3) BEMD decomposition of multispectral images and SAR images.

多光谱影像含有三个波段R、G、B,而IHS彩色空间三分量具有相对独立性,能够更好的体现色彩信息。因此,对多光谱影像先进行IHS变换,后进行BEMD分解,即对其三个波段分别进行分解。在实验中,可以定义分解得到四层分量,分别为三个IMF分量和一个残余分量。第一IMF分量为最高频信息,第二和第三分量的频率信息依次降低,残余分量主要为亮度信息。Multispectral images contain three bands R, G, and B, while the three components of IHS color space are relatively independent and can better reflect color information. Therefore, the multispectral image is first subjected to IHS transformation and then to BEMD decomposition, that is, the three bands are decomposed respectively. In the experiment, the decomposition can be defined to obtain four layers of components, which are three IMF components and one residual component. The first IMF component is the highest frequency information, the frequency information of the second and third components decreases sequentially, and the residual component is mainly luminance information.

SAR影像只有一个波段,即灰度波段,那么也对SAR影像的灰度波段进行BEMD分解。The SAR image has only one band, that is, the gray band, so the gray band of the SAR image is also decomposed by BEMD.

4)将分解后的SAR影像灰度波段与分解后的多光谱影像I分量进行融合,然后与H、S分量合并再转换为R、G、B,最后得到融合影像。4) Fusion of the decomposed SAR image grayscale band with the decomposed I component of the multispectral image, and then combined with the H and S components, and then converted into R, G, and B, and finally the fused image is obtained.

下面,详细描述根据本发明的基于BEMD高分辨率的SAR影像与光学影像的融合方法。Below, the fusion method of SAR image and optical image based on BEMD high resolution according to the present invention will be described in detail.

图1为根据本发明实施例的基于BEMD的SAR影像与多光谱影像的融合方法的流程图。FIG. 1 is a flowchart of a method for fusing a BEMD-based SAR image and a multispectral image according to an embodiment of the present invention.

第一步:影像预处理,其过程主要包括影像重采样,SAR影像去噪,影像配准。The first step: image preprocessing, the process mainly includes image resampling, SAR image denoising, and image registration.

首先,可以通过下采样统一两幅影像的像素分辨率。First, the pixel resolution of the two images can be unified by downsampling.

其次,由于SAR影像易受噪声影响,从而导致影像的非线性、非平稳信号随影像空间分辨率提高而愈加明显,固有噪声也随之更加突出。因此,需要在SAR影像采样前先对其进行去噪处理,例如可以采用改进Goldstein滤波对SAR影像进行降噪处理。Secondly, because SAR images are easily affected by noise, the nonlinear and non-stationary signals of the image become more and more obvious with the increase of the spatial resolution of the image, and the inherent noise also becomes more prominent. Therefore, it is necessary to denoise the SAR image before sampling, for example, the improved Goldstein filter can be used to denoise the SAR image.

最后,针对去噪、采样后的SAR影像和采样后的多光谱影像,采集同名像点对进行影像配准。Finally, for the denoised, sampled SAR image and the sampled multispectral image, image point pairs with the same name are collected for image registration.

第二步:将SAR影像与多光谱影像进行融合,其具体操作步骤如下:Step 2: Fusion of SAR image and multispectral image, the specific operation steps are as follows:

1、对多光谱影像进行IHS变换(即图1中的彩色空间转换),得到多光谱影像的I、H、S分量。1. Perform IHS transformation on the multispectral image (that is, the color space conversion in Figure 1) to obtain the I, H, and S components of the multispectral image.

H=arctg(v1/v2)H=arctg(v 1 /v 2 )

注:v1、v2为中间变量。Note: v1 and v2 are intermediate variables.

2、对预处理后的SAR影像和变换后的多光谱影像I分量分别进行BEMD变换。2. Perform BEMD transformation on the preprocessed SAR image and the I component of the transformed multispectral image respectively.

通过分别的BEMD变换,得到SAR影像的IMF分量和残余分量R,并且得到多光谱影像的IMF分量和残余分量R。经BEMD分解后,SAR影像可表示为多光谱影像I分量可表示为其中,I、R分别为IMF分量与残余分量;M、N分别为SAR与多光谱影像的I分量可分解的IMF的个数。The IMF components and residual components R of the SAR images are obtained through the respective BEMD transformations, and the IMF components and the residual components R of the multispectral images are obtained. After being decomposed by BEMD, the SAR image can be expressed as The I component of the multispectral image can be expressed as Among them, I and R are the IMF component and residual component, respectively; M, N are the number of IMFs that can be decomposed by the I component of the SAR and multispectral images, respectively.

3、对SAR影像和多光谱影像的影像分解量进行处理,使二者具有相同的分解层数。3. Process the image decomposition amount of SAR image and multi-spectral image so that they have the same number of decomposition layers.

由于BEMD具有完全自适应性,SAR影像与多光谱影像的I分量通过BEMD分解后得到的IMF个数可能不同,从而导致在后续的融合过程中的不一致。因此,需要对影像的分解量进行处理,使待融合影像的分解层数一致。具体地,可以在BEMD变换中设定分解后将得到的IMF个数,使得两种影像最终得到的IMF个数相同。例如,设n=min{M,N},以n=M为例,多光谱影像的I分量的第n个IMF之后的IMFs分量将被加入到残余分量中,使其IMF个数为n。此时,多光谱影像的I分量可以表示为:Because BEMD is fully adaptive, the number of IMFs obtained by decomposing the I component of SAR image and multispectral image by BEMD may be different, resulting in inconsistency in the subsequent fusion process. Therefore, it is necessary to process the decomposition amount of the images so that the number of decomposition layers of the images to be fused is consistent. Specifically, the number of IMFs to be obtained after decomposition can be set in the BEMD transformation, so that the number of IMFs finally obtained by the two images is the same. For example, set n=min{M,N}, take n=M as an example, the IMFs components after the nth IMF of the I component of the multispectral image will be added to the residual component, so that the number of IMFs is n. At this time, the I component of the multispectral image can be expressed as:

其中, in,

4、对SAR影像和多光谱影像通过BEMD变换得到的分量进行拉普拉斯滤波,以检测影像中的边缘信息。例如,对SAR影像和多光谱影像的IMF分量进行拉普拉斯高通滤波,对二者的残余分量进行拉普拉斯低通滤波。影像中的边缘信息主要对应高频信息,即通过BEMD分别得到的IMF分量,相应地,其中的低频信息为残余分量。4. Perform Laplace filtering on the components obtained by BEMD transformation of SAR images and multispectral images to detect edge information in the images. For example, Laplacian high-pass filtering is performed on the IMF components of SAR images and multispectral images, and Laplacian low-pass filtering is performed on the residual components of the two. The edge information in the image mainly corresponds to the high-frequency information, that is, the IMF components obtained by BEMD respectively. Correspondingly, the low-frequency information in it is the residual component.

5、基于拉普拉斯算子确定的像素窗口,检测窗口区域内是否平滑。通过检测,判断上一步骤滤波后是否得到相同频率的信息。如判断为平滑,则表明高通滤波得到的都是高频信息,低通滤波得到的都是低频信息。换言之,平滑表明滤波后得到的信息在频率上没有跳跃性差异,即没有边缘。5. Based on the pixel window determined by the Laplacian operator, detect whether the window area is smooth or not. Through detection, it is judged whether information of the same frequency is obtained after filtering in the previous step. If it is judged to be smooth, it means that all high-frequency information is obtained by high-pass filtering, and all low-frequency information is obtained by low-pass filtering. In other words, smoothing means that the filtered information has no jumps in frequency, ie no edges.

6、在判断像素窗口内区域平滑的情况下,表示频率信息相同或相似,则可推断像素窗口内为同一地物,那么计算其平均权重即可;否则需要分别计算权重。例如,可以根据基于区域特征的融合规则来计算SAR影像各分量中各像素的权重,并将SAR影像的IMF分量与残余分量的权重分别记作αn、β。6. In the case of judging that the area in the pixel window is smooth, it means that the frequency information is the same or similar, and it can be inferred that the pixel window is the same feature, then the average weight can be calculated; otherwise, the weight needs to be calculated separately. For example, the weight of each pixel in each component of the SAR image can be calculated according to a fusion rule based on regional features, and the weights of the IMF component and the residual component of the SAR image can be denoted as α n and β, respectively.

7、将IMF分量及残余分量分别进行不同尺度的融合,其融合公式为如下:7. The IMF component and residual components The fusion of different scales is carried out respectively, and the fusion formula is as follows:

Rfuse=βRSF+(1-β)RMI R fuse =βR SF +(1-β)R MI

6、进行BEMD逆变换,将融合结果作为新的I分量Ifuse,其中逆变换公式如下:6. Perform inverse BEMD transformation, and use the fusion result as a new I component I fuse , where the inverse transformation formula is as follows:

7、将新的I分量Ifuse与多光谱影像的H、S分量进行彩色空间逆变换,即将IfuseHMSM逆变换到RGB空间,得到融合后的影像。7. Inversely transform the color space between the new I component I fuse and the H and S components of the multispectral image, that is, inversely transform the I fuse H M S M to the RGB space, to obtain a fused image.

图2是图1中的BEMD变换的流程图。FIG. 2 is a flowchart of the BEMD transformation in FIG. 1 .

在步骤201,对待进行BEMD变换的影像进行初始化。In step 201, the image to be BEMD transformed is initialized.

在步骤202,识别初始化后的影像的极值点,具体地,即寻找其所有的局部极大值点和极小值点。In step 202, the extremum points of the initialized image are identified, specifically, all local maxima and minima are found.

在步骤203,判断极值点的个数是否满足预定条件。如果满足,则流程进行到204;否则流程进行到步骤207。In step 203, it is judged whether the number of extreme points satisfies a predetermined condition. If so, the flow goes to 204; otherwise, the flow goes to step 207.

在步骤204,选择有效的插值算法分别拟合信号的极大值点与极小值点,得到上下包络面,并计算得到平均包络面。In step 204, select an effective interpolation algorithm to fit the maximum value point and the minimum value point of the signal, respectively, to obtain the upper and lower envelope surfaces, and calculate the average envelope surface.

在步骤205,根据平均包络面提取影像的局部趋势;In step 205, the local trend of the image is extracted according to the average envelope;

在步骤206,判断该局部趋势是否满足IMF条件。若满足,则流程进行到步骤207;否则,用该局部趋势代替步骤202中的初始化的影像,流程回到步骤202。In step 206, it is judged whether the local trend satisfies the IMF condition. If satisfied, the flow proceeds to step 207 ; otherwise, the local trend is used to replace the initialized image in step 202 , and the flow returns to step 202 .

IMF判定条件为:The IMF judgment condition is:

1)对于整个数据集,|极值点-零点|≤1;1) For the entire dataset, |extreme point-zero point|≤1;

2)对于数据集上任一点,局部极大值与局部极小值确定的平均包络面值为零。2) For any point on the dataset, the average envelope value determined by the local maxima and local minima is zero.

在步骤207,将该局部趋势设定为IMF分量。At step 207, the local trend is set as the IMF component.

在步骤208,根据该IMF分量计算残余分量。In step 208, a residual component is calculated from the IMF component.

在步骤209,判断步骤207中计算得到的残余分量是否满足单调条件。如满足,则流程结束,将该残余分量判定为最终输出的残余分量;否则用该残余分量代替步骤202中的初始化影像,流程回到步骤202。In step 209, it is judged whether the residual component calculated in step 207 satisfies the monotonic condition. If satisfied, the process ends, and the residual component is determined as the final output residual component; otherwise, the residual component is used to replace the initialization image in step 202 , and the process returns to step 202 .

残余分量是否单调的判定标准为:The criterion for determining whether the residual component is monotonic is:

1)不包含任何IMF;或者1) does not contain any IMF; or

2)残余分量小于SD,0.2<SD<0.3, 2) The residual component is less than SD, 0.2<SD<0.3,

通常,SD设置的范围为0.2-0.3,即当SD满足0.2<SD<0.3时,筛选过程结束。Usually, SD is set in the range of 0.2-0.3, that is, when SD satisfies 0.2<SD<0.3, the screening process ends.

图3为基于小波变换的桂林地区的多源遥感影像的融合结果图;图4为基于本发明的融合方法的桂林地区的多源遥感影像的融合结果图。通过图3和图4的比较可以明显看出,根据本发明的融合方法保存了较好的纹理信息,能够对于同类地物的具体细分提供可靠保证,提高了对非线性、非平稳信号的分析及处理能力。FIG. 3 is a graph of fusion results of multi-source remote sensing images in Guilin based on wavelet transform; FIG. 4 is a graph of fusion results of multi-source remote sensing images in Guilin based on the fusion method of the present invention. It can be clearly seen from the comparison between Fig. 3 and Fig. 4 that the fusion method according to the present invention preserves better texture information, can provide reliable guarantee for the specific subdivision of similar ground objects, and improves the accuracy of nonlinear and non-stationary signals. Analytical and processing capabilities.

本发明基于BEMD变换对多源遥感影像进行融合,作为遥感影像分类的基础,能够保证在处理线性或者非线性,平稳或者非平稳信号的同时,保证多源遥感影像所包含的光谱信息、边缘信息以及纹理信息不丢失。传统SAR与光学影像融合方法主要采用二维离散小波变换、平移不变小波变换等线性变换,这些方法在很大程度上放弃了非线性及非平稳信号的处理。本发明提供的融合方案更适用于非线性、非平稳信号的分析,具有较高的信噪比。另外,BEMD变换优于小波变换在于它不同于小波变换在对信号处理时依赖于小波基的选择,它是依赖于信号自身时间尺度特征来实现信号分解,具有完全自适应性。The present invention fuses multi-source remote sensing images based on BEMD transformation, and as the basis for remote sensing image classification, it can ensure the spectral information and edge information contained in multi-source remote sensing images while processing linear or nonlinear, stationary or non-stationary signals. And texture information is not lost. Traditional SAR and optical image fusion methods mainly use linear transformations such as two-dimensional discrete wavelet transform and translation-invariant wavelet transform. These methods largely abandon the processing of nonlinear and non-stationary signals. The fusion scheme provided by the present invention is more suitable for the analysis of nonlinear and non-stationary signals, and has a higher signal-to-noise ratio. In addition, BEMD transform is superior to wavelet transform in that it is different from wavelet transform which depends on the selection of wavelet base in signal processing. It relies on the time scale characteristics of the signal itself to achieve signal decomposition and has complete adaptability.

专业人员应该还可以进一步意识到,结合本文中所公开的实施例描述的各示例的单元及算法步骤,能够以电子硬件、计算机软件或者二者的结合来实现,为了清楚地说明硬件和软件的可互换性,在上述说明中已经按照功能一般性地描述了各示例的组成及步骤。这些功能究竟以硬件还是软件方式来执行,取决于技术方案的特定应用和设计约束条件。专业技术人员可以对每个特定的应用来使用不同方法来实现所描述的功能,但是这种实现不应认为超出本发明的范围。Professionals should be further aware that the units and algorithm steps of each example described in conjunction with the embodiments disclosed herein can be implemented in electronic hardware, computer software, or a combination of the two. Interchangeability, the above description has generally described the components and steps of each example in terms of function. Whether these functions are performed in hardware or software depends on the specific application and design constraints of the technical solution. Skilled artisans may implement the described functionality using different methods for each particular application, but such implementations should not be considered beyond the scope of the present invention.

结合本文中所公开的实施例描述的方法或算法的步骤可以用硬件、处理器执行的软件模块,或者二者的结合来实施。软件模块可以置于随机存储器(RAM)、内存、只读存储器(ROM)、电可编程ROM、电可擦除可编程ROM、寄存器、硬盘、可移动磁盘、CD-ROM、或技术领域内所公知的任意其它形式的存储介质中。The steps of a method or algorithm described in connection with the embodiments disclosed herein may be implemented in hardware, a software module executed by a processor, or a combination of the two. A software module can be placed in random access memory (RAM), internal memory, read only memory (ROM), electrically programmable ROM, electrically erasable programmable ROM, registers, hard disk, removable disk, CD-ROM, or any other in the technical field. in any other known form of storage medium.

以上所述的具体实施方式,对本发明的目的、技术方案和有益效果进行了进一步详细说明。所应理解的是,以上所述仅为本发明的具体实施方式而已,并不用于限定本发明的保护范围。凡在本发明的精神和原则之内,所做的任何修改、等同替换、改进等,均应包含在本发明的保护范围之内。The specific embodiments described above further describe the objectives, technical solutions and beneficial effects of the present invention in detail. It should be understood that the above descriptions are only specific embodiments of the present invention, and are not intended to limit the protection scope of the present invention. Any modification, equivalent replacement, improvement, etc. made within the spirit and principle of the present invention shall be included within the protection scope of the present invention.

Claims (5)

1. A method for fusing a Synthetic Aperture Radar (SAR) image and a multispectral image based on BEMD is characterized by comprising the following steps:
IHS transformation is carried out on the multispectral image to obtain an I component, an H component and an S component of the multispectral image;
respectively carrying out two-dimensional empirical mode decomposition (BEMD) transformation on the SAR image and the I component to obtain an Intrinsic Mode Function (IMF) component and a residual component of the SAR image, and the IMF component and the residual component of the I component;
adjusting the IMF component and the residual component of the SAR image and the IMF component and the residual component of the I component to keep the number of the IMF component of the SAR image consistent with that of the IMF component of the I component, and adding the redundant IMF components into the corresponding residual components;
performing laplacian high-pass filtering on the IMF component of the adjusted SAR image and the IMF component of the I component, and performing laplacian low-pass filtering on the residual component of the adjusted SAR image and the residual component of the I component;
determining whether or not a detection window region is smooth based on a result of the filtering;
if smooth, calculate its average weight;
if not smooth, respectively calculating the weight of each pixel in the IMF component and the residual component in the SAR image;
wherein the fusing is performed based on the weights;
respectively fusing the IMF component and the IMF component of the I component of the adjusted SAR image and the residual component of the I component of the adjusted SAR image;
performing BEMD inverse transformation according to the fusion result to obtain a fused I component;
performing IHS inverse transformation on the fused I component, the H component and the S component to obtain a fused image;
when linear or nonlinear, stationary or non-stationary signals are processed, spectral information, edge information and texture information contained in the multi-source remote sensing image are guaranteed not to be lost.
2. The method of claim 1 for fusing a BEMD-based synthetic aperture radar SAR image with a multispectral image, wherein said step of BEMD transforming comprises:
initializing an image to be subjected to BEMD conversion;
identifying extreme points in the initialized image;
under the condition that the extreme point meets a preset threshold value, fitting the extreme point to obtain an average envelope surface of the image;
extracting the local trend of the image according to the average envelope surface;
determining the local trend as an IMF component if the local trend satisfies a predetermined IMF condition;
computing a residual component from the IMF component;
and in the case that the residual component satisfies a predetermined monotone condition, determining the residual component as a final residual component.
3. The method for fusion of a synthetic aperture radar SAR image with a multispectral image based on claim 2, characterized in that:
under the condition that the local trend does not meet the IMF judgment condition, replacing the initialized image with the local trend, and continuously searching for an extreme point;
and under the condition that the residual component does not meet the monotone condition, replacing the initialized image with the residual component, and continuously searching for an extreme point in the initialized image.
4. The method for fusion of a synthetic aperture radar SAR image with a multispectral image based on claim 2, characterized in that:
the IMF determination condition is determined according to a relationship between an extreme point and a zero point in an image in which the extreme point is identified, and a value of the average envelope surface;
the monotonic condition is calculated by two sequentially determined IMF components.
5. The method of fusing a BEMD-based synthetic aperture radar SAR image with a multispectral image according to claim 1, further comprising, before the step of IHS transforming the multispectral image:
denoising the SAR image;
unifying the pixel resolution of the denoised SAR image and the multispectral image through resampling;
and carrying out image registration on the SAR image and the multispectral image after resampling.
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