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CN114332589B - A precise detection method for water or hydroxyl on the surface of non-atmospheric celestial bodies - Google Patents

A precise detection method for water or hydroxyl on the surface of non-atmospheric celestial bodies Download PDF

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CN114332589B
CN114332589B CN202111674703.9A CN202111674703A CN114332589B CN 114332589 B CN114332589 B CN 114332589B CN 202111674703 A CN202111674703 A CN 202111674703A CN 114332589 B CN114332589 B CN 114332589B
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秦楠楠
吴昀昭
徐天弈
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Purple Mountain Observatory of CAS
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Abstract

本发明提出一种无大气天体表面水或羟基的精检测方法,包括:遍历高光谱图像,屏蔽信号微弱、噪声过大或包含异常反射率的像素光谱,得到噪声屏蔽区域图;计算原始光谱图像未屏蔽区域各像素光谱在3μm波段处的波段深度,若波段深度大于设定阈值,则将对应的像素位置标记为含水/羟基,得到原始光谱图的水/羟基分布区域;利用直方图均衡化方法对原始高光谱图像的各通道分别进行平滑,并对平滑后的高光谱图像采用上述方法处理得到平滑光谱图的水/羟基分布区域;将原始光谱图的水/羟基分布区域和平滑光谱图的水/羟基分布区域的交集作为最终精确的水/羟基分布区域。本发明采用由粗到精策略,能够稳健获取精确的水/羟基检测结果。

Figure 202111674703

The present invention proposes a precise detection method for water or hydroxyl on the surface of an atmospheric celestial body, including: traversing the hyperspectral image, shielding the pixel spectrum with weak signal, excessive noise or containing abnormal reflectivity, and obtaining the noise shielding area map; calculating the original spectral image The band depth of each pixel spectrum in the unshielded area at the 3 μm band. If the band depth is greater than the set threshold, the corresponding pixel position is marked as containing water/hydroxyl, and the water/hydroxyl distribution area of the original spectrum is obtained; use histogram equalization Methods Smooth each channel of the original hyperspectral image separately, and use the above method to process the smoothed hyperspectral image to obtain the water/hydroxyl distribution area of the smoothed spectrum; the water/hydroxyl distribution area of the original spectrum and the smoothed spectrum The intersection of the water/hydroxyl distribution area of is used as the final accurate water/hydroxyl distribution area. The present invention adopts a coarse-to-fine strategy, and can stably obtain accurate water/hydroxyl detection results.

Figure 202111674703

Description

一种无大气天体表面水或羟基的精检测方法A precise detection method for water or hydroxyl on the surface of non-atmospheric celestial bodies

技术领域technical field

本发明属于行星科学技术领域,具体涉及一种无大气天体表面水或羟基的精检测方法。The invention belongs to the field of planetary science and technology, and in particular relates to a precise detection method for water or hydroxyl on the surface of an atmospheric celestial body.

背景技术Background technique

月球、小行星等无大气天体中的水冰记录了有关太阳风注入、挥发分撞击传递以及太阳星云吸积和演化过程中挥发分掺入保留等重要信息,水冰资源也是月球基地选址及小行星资源采矿的核心考量因素之一。当前多个国际任务都在计划探测月球南极以及小行星,科研人员已基于可见-红外光谱等数据对月球、小行星等无大气天体的水冰分布、时序变化以及来源开展了研究并取得了大量成果。Water ice in non-atmospheric bodies such as the moon and asteroids has recorded important information about solar wind injection, impact transfer of volatiles, and incorporation and retention of volatiles during solar nebula accretion and evolution. One of the core considerations in planetary resource mining. At present, many international missions are planning to detect the south pole of the moon and asteroids. Based on data such as visible-infrared spectra, researchers have conducted research on the distribution, timing changes and sources of water ice on the moon, asteroids and other non-atmospheric celestial bodies, and obtained a large number of research results. results.

Pieters等人首次利用M3光谱数据对月球表面水/羟基的全球分布进行了研究,发现月表水/羟基存在纬度效应。Li等人则基于一种新的热校正模型构建了月球表面水/羟基的全球定量图,发现月表水/羟基的含量不但随纬度升高而增加,还随空间风化程度增加,并存在日间变化。Klima等人通过M3光谱数据发现Bullialdus撞击坑的中央峰存在水/羟基,认为其可能来自于月球岩浆洋。Milliken等人通过采用新的M3光谱温度校正模型,发现月球火山碎屑沉积物中也存在水/羟基。Kramer等人利用M3光谱数据的水/羟基吸收特征识别月球旋涡。Wang等人基于M3光谱数据研究月球处于地球磁场内外表面水/羟基的变化,进而推断有地球风的存在。此外,Simon等人利用可见-红外光谱仪绘制了贝努小行星水合矿物的全球分布图。Pieters et al. used the M3 spectral data to study the global distribution of water/hydroxyl on the lunar surface for the first time, and found that there is a latitude effect on the water/hydroxyl on the lunar surface. Li et al. constructed a global quantitative map of water/hydroxyl on the lunar surface based on a new thermal correction model, and found that the content of water/hydroxyl on the lunar surface not only increases with latitude, but also increases with the degree of space weathering. change between. Klima et al. found water/hydroxyl in the central peak of the Bullialdus impact crater through M 3 spectral data, and believed that it might come from the lunar magma ocean. Milliken et al. found water/hydroxyl also present in lunar pyroclastic deposits by employing a new temperature-corrected model of the M3 spectrum. Kramer et al. identified lunar vortices using the water/hydroxyl absorption signature of M3 spectral data. Based on the M3 spectral data, Wang et al. studied the changes of water/hydroxyl on the surface of the moon inside and outside the earth's magnetic field, and then inferred the existence of the earth's wind. In addition, Simon et al. used the visible-infrared spectrometer to map the global distribution of Bennu asteroid hydrated minerals.

由于光照条件较差,月球南极区域的光谱数据中普遍存在较为严重的噪声。然而,现有研究在检测月球水/羟基时很少全面考虑原始光谱图像数据中的各种噪声,导致检测结果存在噪声引起的不确定性。为此,亟需提出一种由粗到精的检测方法,进一步提升月球南极区域以及其它类似无大气天体表面水/羟基的检测精度。Due to the poor lighting conditions, there are generally serious noises in the spectral data of the south pole region of the moon. However, existing studies rarely fully consider various noises in the original spectral image data when detecting lunar water/hydroxyl groups, resulting in uncertainties caused by noise in the detection results. Therefore, it is urgent to propose a coarse-to-fine detection method to further improve the detection accuracy of water/hydroxyl on the surface of the lunar south pole region and other similar non-atmospheric celestial bodies.

发明内容Contents of the invention

本发明针对现有技术中的不足,提供一种无大气天体表面水或羟基的精检测方法,采用的技术方案如下:Aiming at the deficiencies in the prior art, the present invention provides a precise detection method for water or hydroxyl on the surface of an atmospheric celestial body, and the adopted technical scheme is as follows:

一种无大气天体表面水或羟基的精检测方法,包括以下步骤:A method for precise detection of water or hydroxyl on the surface of an atmospheric celestial body, comprising the following steps:

步骤1:遍历高光谱图像各像素,屏蔽信号微弱、噪声过大或包含异常反射率的像素光谱,得到原始光谱图的噪声屏蔽区域图;Step 1: traverse each pixel of the hyperspectral image, shield the pixel spectrum with weak signal, excessive noise or abnormal reflectance, and obtain the noise masked area map of the original spectral map;

步骤2:遍历原始高光谱图像未屏蔽区域各像素,计算各像素光谱在3μm波段处的波段深度,若波段深度大于设定阈值,则将对应的像素位置标记为含水/羟基,从而得到原始光谱图的水/羟基分布区域;Step 2: traverse each pixel in the unshielded area of the original hyperspectral image, and calculate the band depth of each pixel spectrum at the 3 μm band. If the band depth is greater than the set threshold, mark the corresponding pixel position as containing water/hydroxyl, thereby obtaining the original spectrum The water/hydroxyl distribution area of the graph;

步骤3:利用直方图均衡化方法对原始高光谱图像的各通道分别进行平滑,并依次采用步骤1和2的方法对平滑后光谱图像各像素光谱进行处理,得到平滑光谱图的水/羟基分布区域;Step 3: Use the histogram equalization method to smooth each channel of the original hyperspectral image, and sequentially use the methods of steps 1 and 2 to process the spectra of each pixel of the smoothed spectral image to obtain the water/hydroxyl distribution of the smoothed spectral image area;

步骤4:将原始光谱图的水/羟基分布区域和平滑光谱图的水/羟基分布区域的交集区域作为最终精确的水/羟基分布区域。Step 4: The intersection area of the water/hydroxyl distribution area of the original spectrogram and the water/hydroxyl distribution area of the smoothed spectrogram is used as the final accurate water/hydroxyl distribution area.

进一步地,所述步骤1包括以下步骤:Further, said step 1 includes the following steps:

S1.1、遍历原始高光谱图像像素,若某像素光谱包含的任一波段反射率小于0或大于1,则屏蔽该像素,得到带有屏蔽标记的光谱图img1;S1.1. Traversing the pixels of the original hyperspectral image, if the reflectance of any band contained in the spectrum of a certain pixel is less than 0 or greater than 1, then mask the pixel to obtain the spectral image img1 with the shielding mark;

S1.2、遍历光谱图img1中未被屏蔽的像素,计算各像素光谱去除最大反射率和最小反射率后的各波段反射率均值,若反射率均值小于设定阈值,则将对应的像素屏蔽,得到带有屏蔽标记的光谱图像img2;S1.2. Traversing the unshielded pixels in the spectrogram img1, calculating the average reflectance of each band after removing the maximum reflectance and minimum reflectance of each pixel spectrum, if the average reflectance is less than the set threshold, the corresponding pixel is shielded , to get the spectral image img2 with masked markers;

S1.3、遍历光谱图像img2中未被屏蔽的像素,计算各像素光谱在2.5-3μm波长区间各波段的反射率与其前后波段的反射率均值e的差值,并进一步计算该差值与反射率均值e的比值r;若在2.5-3μm波长区间存在任一波段计算的比值r大于设定阈值,则屏蔽该像素,得到带有屏蔽标记的光谱图像img3;S1.3. Traverse the unshielded pixels in the spectral image img2, calculate the difference between the reflectance of each pixel spectrum in each band in the 2.5-3 μm wavelength range and the average reflectance e of the front and rear bands, and further calculate the difference and reflectance The ratio r of the rate mean value e; if the ratio r calculated by any band in the 2.5-3 μm wavelength range is greater than the set threshold, the pixel is shielded to obtain a spectral image img3 with shielding marks;

S1.4、遍历光谱图像img3中未被屏蔽的像素,利用三次样条拟合法对各像素光谱进行平滑,并计算相应的光谱信噪比指数,若信噪比指数大于设定阈值,则将对应的像素屏蔽,得到噪声屏蔽区域图。S1.4. Traversing the unshielded pixels in the spectral image img3, using the cubic spline fitting method to smooth the spectrum of each pixel, and calculating the corresponding spectral signal-to-noise ratio index, if the signal-to-noise ratio index is greater than the set threshold, then the The corresponding pixels are masked to obtain a noise masked area map.

进一步地,步骤2中像素光谱在3μm波段处的波段深度表示为:Further, the band depth of the pixel spectrum at the 3 μm band in step 2 is expressed as:

BD=1-Rb/RcBD=1-R b /R c ,

其中,BD表示波段深度,Rb表示像素光谱在2.9μm波段处的反射率均值,Rc表示像素光谱在2.6μm波段处的反射率均值。Among them, BD represents the depth of the band, R b represents the average reflectance of the pixel spectrum at the 2.9 μm band, and R c represents the average reflectance of the pixel spectrum at the 2.6 μm band.

进一步地,所述光谱信噪比指数的计算公式为:Further, the calculation formula of the spectral signal-to-noise ratio index is:

Figure GDA0004153327790000021
Figure GDA0004153327790000021

其中,SNRI表示信噪比指数,N为光谱图像总的波段数,ri和r'i分别代表像素光谱在第i个波段的原始反射率和平滑后的反射率。Among them, SNRI represents the signal-to-noise ratio index, N is the total number of bands in the spectral image, r i and r' i represent the original reflectance and smoothed reflectance of the pixel spectrum in the i-th band, respectively.

进一步地,步骤2中波段深度的设定阈值为0.02,S1.2中反射率均值的设定阈值为0.05,S1.3中比值r的设定阈值为0.1,S1.4中信噪比指数的设定阈值为0.07。Further, the set threshold of the band depth in step 2 is 0.02, the set threshold of the reflectance mean value in S1.2 is 0.05, the set threshold of the ratio r in S1.3 is 0.1, and the signal-to-noise ratio index in S1.4 The set threshold is 0.07.

相比于现有方法,本发明具有如下有益效果:Compared with existing methods, the present invention has the following beneficial effects:

(1)采用了由粗到精的策略,能够稳健的获取精确的水/羟基检测结果。(1) The coarse-to-fine strategy is adopted to obtain accurate water/hydroxyl detection results robustly.

(2)考虑了原始图像条带噪声对3μm附近波长区域水/羟基吸收特征的干扰,屏蔽了大量存在疑义的呈条带分布的含水/羟基像素光谱,提升了检测结果的可靠性。(2) Considering the interference of band noise in the original image on the water/hydroxyl absorption characteristics in the wavelength region near 3 μm, a large number of suspicious water/hydroxyl pixel spectra in strip distribution are shielded, which improves the reliability of the detection results.

附图说明Description of drawings

图1为本发明方法的流程示意图;Fig. 1 is a schematic flow sheet of the inventive method;

图2为原始高光谱图像;Figure 2 is the original hyperspectral image;

图3为原始光谱图像的噪声屏蔽区域图;Fig. 3 is the noise masking area diagram of original spectrum image;

图4为原始光谱图的水/羟基分布区域图;Fig. 4 is the water/hydroxyl distribution area diagram of original spectrogram;

图5为平滑后的高光谱图像;Fig. 5 is the hyperspectral image after smoothing;

图6为平滑光谱图的水/羟基分布区域图;Fig. 6 is the water/hydroxyl distribution region figure of smooth spectrogram;

图7为最终的水/羟基分布区域图。Figure 7 is a plot of the final water/hydroxyl distribution area.

具体实施方式Detailed ways

现在结合附图对本发明作进一步详细的说明。The present invention is described in further detail now in conjunction with accompanying drawing.

本发明提供了一种无大气天体表面水或羟基的精检测方法,如图1所示,主要包括以下步骤:The present invention provides a kind of precise detection method of water or hydroxyl on the surface of atmospheric celestial body, as shown in Figure 1, mainly comprises the following steps:

步骤1,为保证水/羟基吸收特征检测的稳健性,屏蔽原始高光谱图像中信号微弱、整体噪声过大以及包含异常反射率的像素光谱,原始高光谱图像如图2所示。具体包括:Step 1. In order to ensure the robustness of the detection of water/hydroxyl absorption features, the original hyperspectral image is shielded from weak signals, excessive overall noise, and pixel spectra containing abnormal reflectivity. The original hyperspectral image is shown in Figure 2. Specifically include:

步骤1.1、屏蔽包含任一波段反射率小于0或大于1的像素光谱,高光谱图像中波段反射率的正常取值范围为[0,1],由于噪声干扰会出现异常值;Step 1.1, shield the pixel spectrum containing any band reflectance less than 0 or greater than 1, the normal value range of the band reflectance in the hyperspectral image is [0,1], and abnormal values will appear due to noise interference;

步骤1.2、分别计算各像素光谱去除最大反射率和最小反射率后的各波段反射率均值,若波段反射率均值小于0.05,则将对应的像素光谱屏蔽;Step 1.2, respectively calculate the mean value of the reflectance of each band after removing the maximum reflectance and the minimum reflectance of each pixel spectrum, if the mean value of the band reflectance is less than 0.05, then shield the corresponding pixel spectrum;

步骤1.3,遍历光谱图像img2中未被屏蔽的像素,计算各像素光谱在2.5-3μm波长区间各波段的反射率与其前后波段的反射率均值e的差值,并进一步计算该差值与反射率均值e的比值r。若在2.5-3μm波长区间存在任一波段计算的比值r大于0.1,则屏蔽该像素;Step 1.3, traverse the unshielded pixels in the spectral image img2, calculate the difference between the reflectance of each pixel spectrum in each band in the 2.5-3 μm wavelength range and the average reflectance e of the preceding and following bands, and further calculate the difference and the reflectance The ratio r of the mean e. If the ratio r calculated by any band is greater than 0.1 in the 2.5-3 μm wavelength range, the pixel is blocked;

步骤1.4,利用三次样条拟合法对各像素光谱进行平滑,并分别计算平滑后各像素光谱的信噪比指数(SNRI),若信噪比指数大于0.07,则将对应的像素光谱屏蔽。信噪比指数的计算公式为:Step 1.4, use the cubic spline fitting method to smooth each pixel spectrum, and calculate the signal-to-noise ratio index (SNRI) of each pixel spectrum after smoothing, if the signal-to-noise ratio index is greater than 0.07, the corresponding pixel spectrum is masked. The formula for calculating the signal-to-noise ratio index is:

Figure GDA0004153327790000031
Figure GDA0004153327790000031

其中,SNRI表示信噪比指数,N为光谱图像总的波段数,ri和r'i分别代表像素光谱在第i个波段的原始反射率和平滑后的反射率。Among them, SNRI represents the signal-to-noise ratio index, N is the total number of bands in the spectral image, r i and r' i represent the original reflectance and smoothed reflectance of the pixel spectrum in the i-th band, respectively.

通过以上预去噪处理,得到如图3所示的噪声屏蔽区域图,图3中黑色表示噪声屏蔽区。Through the above pre-denoising processing, the noise shielding area diagram shown in Figure 3 is obtained, and the black in Figure 3 represents the noise shielding area.

步骤2,计算未被屏蔽的像素光谱在3μm波段的波段深度,为保证检测结果的准确性,将波段深度(BD)大于0.02的光谱像素点标记为潜在含水/羟基的位置,得到得到原始光谱图的水/羟基分布区域。波段深度(BD)的计算公式如下:Step 2. Calculate the band depth of the unshielded pixel spectrum in the 3 μm band. In order to ensure the accuracy of the detection results, mark the spectral pixels with a band depth (BD) greater than 0.02 as the position of potential water/hydroxyl, and obtain the original spectrum The water/hydroxyl distribution area of the diagram. The formula for calculating the band depth (BD) is as follows:

BD=1-Rb/RcBD=1-R b /R c ,

其中,Rb表示像素光谱在在2.9μm波段处(2.896μm波段和2.936μm波段)的反射率均值,Rc表示像素光谱在2.6μm波段处(2.617μm波段、2.657μm波段、2.697μm波段)的反射率均值。Among them, R b represents the average reflectance of the pixel spectrum at the 2.9 μm band (2.896 μm band and 2.936 μm band), and R c represents the pixel spectrum at the 2.6 μm band (2.617 μm band, 2.657 μm band, 2.697 μm band) average reflectance.

原始光谱图的水/羟基分布区域如图4所示,图中白色区域为水/羟基的分布区域。The water/hydroxyl distribution area of the original spectrum is shown in Figure 4, and the white area in the figure is the distribution area of water/hydroxyl.

步骤3,识别并屏蔽因原始光谱图条带噪声干扰而存在疑义的含水/羟基像素,得到更为精确的水/羟基分布,具体包括:Step 3, identifying and shielding the suspicious water/hydroxyl pixels due to band noise interference in the original spectrum, to obtain a more accurate water/hydroxyl distribution, including:

S3.1、利用直方图均衡化方法对原始高光谱图像(如图2所示)的各通道分别进行平滑,得到平滑后的光谱图像(如图5所示);S3.1, using the histogram equalization method to smooth each channel of the original hyperspectral image (as shown in Figure 2), respectively, to obtain a smoothed spectral image (as shown in Figure 5);

S3.2、遍历平滑后的光谱图像,依次采用步骤1和2的方法进行处理,得到平滑光谱图的水/羟基分布区域(如图6所示);S3.2, traversing the smoothed spectral image, sequentially using the method of steps 1 and 2 to process, to obtain the water/hydroxyl distribution area of the smoothed spectral image (as shown in Figure 6);

S3.3、将原始光谱图的水/羟基分布区域和平滑光谱图的水/羟基分布区域的共同区域作为最终精确的水/羟基分布区域,即取两个区域的交集,最终结果如图7所示。S3.3. Take the common area of the water/hydroxyl distribution area of the original spectrum and the water/hydroxyl distribution area of the smoothed spectrum as the final accurate water/hydroxyl distribution area, that is, take the intersection of the two areas, and the final result is shown in Figure 7 shown.

以上仅是本发明的优选实施方式,本发明的保护范围并不仅局限于上述实施例,凡属于本发明思路下的技术方案均属于本发明的保护范围。应当指出,对于本技术领域的普通技术人员来说,在不脱离本发明原理前提下的若干改进和润饰,应视为本发明的保护范围。The above are only preferred implementations of the present invention, and the protection scope of the present invention is not limited to the above-mentioned embodiments, and all technical solutions under the idea of the present invention belong to the protection scope of the present invention. It should be pointed out that for those skilled in the art, some improvements and modifications without departing from the principle of the present invention should be regarded as the protection scope of the present invention.

Claims (5)

1. The fine detection method of the atmospheric celestial body surface water or hydroxyl is characterized by comprising the following steps of:
step 1: traversing each pixel of the hyperspectral image, and shielding the pixel spectrum with weak signal, excessive noise or abnormal reflectivity to obtain a noise shielding area diagram of the original spectrogram;
step 2: traversing each pixel in an unshielded area of an original hyperspectral image, calculating the band depth of each pixel spectrum at a 3 mu m band, and if the band depth is larger than a set threshold value, marking the corresponding pixel position as water/hydroxyl, thereby obtaining a water/hydroxyl distribution area of the original spectrogram;
step 3: smoothing each channel of the original hyperspectral image by using a histogram equalization method, and sequentially processing each pixel spectrum of the smoothed hyperspectral image by using the methods of the steps 1 and 2 to obtain a water/hydroxyl distribution area of the smoothed spectrogram;
step 4: the intersection area of the water/hydroxyl distribution area of the original spectrogram and the water/hydroxyl distribution area of the smooth spectrogram is taken as the final accurate water/hydroxyl distribution area.
2. The fine detection method of water or hydroxyl groups on the surface of an atmospheric-free celestial body according to claim 1, wherein the step 1 comprises the steps of:
s1.1, traversing an original hyperspectral image pixel, and shielding the pixel if the reflectivity of any wave band contained in the spectrum of a certain pixel is smaller than 0 or larger than 1, so as to obtain a spectrogram img1 with a shielding mark;
s1.2, traversing the unshielded pixels in the spectrogram img1, calculating the average value of the reflectivities of all the wave bands after the maximum reflectivities and the minimum reflectivities of the spectrums of all the pixels are removed, and shielding the corresponding pixels if the average value of the reflectivities is smaller than a set threshold value to obtain a spectral image img2 with shielding marks;
s1.3, traversing the unshielded pixels in the spectrum image img2, calculating the difference value between the reflectivity of each wavelength band of each pixel spectrum in the wavelength interval of 2.5-3 mu m and the reflectivity mean value e of the front wavelength band and the rear wavelength band of each pixel spectrum, and further calculating the ratio r of the difference value to the reflectivity mean value e; if the ratio r calculated by any wave band exists in the wavelength interval of 2.5-3 mu m is larger than a set threshold value, shielding the pixel to obtain a spectral image img3 with a shielding mark;
s1.4, traversing the unmasked pixels in the spectral image img3, smoothing the spectra of the pixels by using a cubic spline fitting method, calculating corresponding spectral signal-to-noise ratio indexes, and shielding the corresponding pixels if the signal-to-noise ratio indexes are larger than a set threshold value to obtain a noise shielding region diagram.
3. The fine detection method of water or hydroxyl groups on the surface of an atmospheric-free celestial body according to claim 1, wherein the band depth of the pixel spectrum at the 3 μm band in step 2 is expressed as:
BD=1-R b /R c
wherein BD represents the band depth, R b Represents the average value of the reflectivity of the pixel spectrum at the wave band of 2.9 mu m, R c The average value of the reflectivity of the pixel spectrum at the 2.6 μm band is shown.
4. The fine detection method of water or hydroxyl on the surface of an atmospheric-free celestial body as set forth in claim 2, wherein the calculation formula of the spectral signal-to-noise ratio index is:
Figure FDA0004153327780000021
wherein SNRI represents signal-to-noise ratio index, N is total band number of spectrum image, r i And r' i Representing the original reflectance and the smoothed reflectance of the pixel spectrum in the ith band, respectively.
5. The fine detection method of water or hydroxyl on the surface of an atmospheric celestial body according to claim 2, wherein the set threshold of the band depth in the step 2 is 0.02, the set threshold of the average value of the reflectivity in the step S1.2 is 0.05, the set threshold of the ratio r in the step S1.3 is 0.1, and the set threshold of the signal to noise ratio index in the step S1.4 is 0.07.
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