CN111738916A - Remote sensing image generalized shadow spectrum reconstruction method and system based on statistics - Google Patents

Remote sensing image generalized shadow spectrum reconstruction method and system based on statistics Download PDF

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CN111738916A
CN111738916A CN202010846356.2A CN202010846356A CN111738916A CN 111738916 A CN111738916 A CN 111738916A CN 202010846356 A CN202010846356 A CN 202010846356A CN 111738916 A CN111738916 A CN 111738916A
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shadow
remote sensing
reconstruction
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spectral
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CN111738916B (en
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张利军
曹创华
文春华
徐质彬
杨晓弘
尹展
黄志飙
杨海燕
陈海龙
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Hunan Xinxiang Geophysical Exploration Engineering Co ltd
Research Institute Of Hunan Province Nonferrous Metals Geological Exploration Bureau
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Abstract

The invention discloses a remote sensing image generalized shadow spectrum reconstruction method and a system based on statistics.A remote sensing image data to be subjected to spectrum reconstruction is obtained, and is subjected to radiometric calibration and converted into radiometric data, and meanwhile, a spectrum reconstruction area to be subjected to data cutting is carried out; performing mixed spectrum decomposition on the spectrum reconstruction area subjected to data cutting, and extracting shadow basis components; according to a radiation transmission theory, deducing a generalized shadow consistency spectrum reconstruction equation; and acquiring spectral parameters based on statistical equation estimation to realize the generalized shadow spectral reconstruction of the remote sensing image to be subjected to spectral reconstruction. The method breaks through the classical definition of the traditional remote sensing image shadow, deduces the spectral reconstruction equation of the generalized shadow consistency, and has the advantages of natural color transition, more prominent texture, no edge effect and very obvious effect of the reconstruction result; the fidelity of the information recorded by the image data is kept to the maximum extent.

Description

Remote sensing image generalized shadow spectrum reconstruction method and system based on statistics
Technical Field
The invention relates to the technical field of remote sensing image data processing, and particularly discloses a statistics-based remote sensing image generalized shadow spectrum reconstruction method and system.
Background
The correction or spectral reconstruction of the optical remote sensing image data shadow belongs to the research of remote sensing mechanism and method in the national science foundation classification catalogue, and the classification code is D0106; in the concrete research content, the method belongs to remote sensing image processing and enhancement. The existence of the shadow in the remote sensing image data can cause the loss of partial or all information, and the optical characteristic information in the image is weakened, so that the subsequent remote sensing interpretation and information extraction are influenced, and the method is particularly applied to the quantitative remote sensing inversion based on a reflectivity spectrum curve, the hidden target tracking, the image multi-scale segmentation and the like.
Classical definition of optical remote sensing image shadows: shadows are common in scenes where objects obstruct all or part of the direct light in the light source (Arevalo et al, 2008); analyzing from the optical cause type of the shadow, the shadow can be divided into two main categories: self-shadow is the portion of the terrain itself not illuminated by direct light, generally with a higher brightness than projection (Dare, 2005); the projection is a part of the ground object which shields the direct light projection of the light source, and is further divided into a home shadow in which all the direct light is shielded and a penumbra in which part of the direct light is shielded (Arevalo et al, 2005). From the on-ground analysis of the terrain causing the optical remote sensing image shadow, the shadow is divided into a terrain shadow, an urban (building) shadow, a cloud shadow, and a mixed shadow (Shahtamassebi et al, 2013).
In view of the important role, particularly adverse effects, played by the optical remote sensing image shadow in the multi-field remote sensing scientific research and application, many scholars at home and abroad (Nakajinma et al, 2002; Sarabandi et al, 2004; Chen et al, 2007; Arevalo et al, 2008; Arora and Mathur, 2001; rieno et al, 2003; Sala et al, 2005; Yang et al, 2007; richter et al, 2009; Simpson and titt, 1998; Arellano, 2003; warm mega fly et al, 2016; tsunami et al, 2006; sudang et al, 2017; rei et al, 2018; populus et al, 2012; yuexi et al, 2018; bellar et al, 2006; gajun et al, 2012) have paid enormous efforts to research the forming mechanism, detection method, removal or recovery technology, and have been achieved at the same time as the image shadow correction technology. The shadow detection-correction methods can be roughly classified into three types of terrain shadow correction, urban building shadow correction and cloud shadow correction from the shadow category, and can be roughly classified into a statistical model, a physical model, a geoscience data space autocorrelation model, an auxiliary data dependent model and a mixed model from the characteristic attribute of a correction model.
The research on the correction of the remote sensing image shadow in the complex terrain area is early, many of the remote sensing image shadows belong to a physical model and a mixed model, the research focuses on mechanism research, modeling correction is carried out by researching the physical process of interaction between electromagnetic waves and the earth surface under different solar illumination conditions, and two important assumptions are as follows: in 1989, the earth surface is assumed to be a lambertian body, and the total radiation of pixels received by a sensor is divided into path radiation of direct solar radiation reflected by a ground object, downward scattered radiation reflected by atmosphere, light radiation reflected by surrounding environment and upward scattered radiation reflected by atmosphere; secondly, Sandmeier et al assume that the earth surface is a non-Lambert body, and further divide the uplink radiation of the pixel into uplink radiation reflected by the pixel through direct light, uplink radiation reflected by the pixel through various anisotropic scattered lights around the sun, uplink radiation reflected by various isotropic scattered lights through the pixel, and uplink radiation reflected by the adjacent pixel through the pixel. The calibration model can be roughly summarized into a method based on a wave band ratio, a method based on DEM, multi-source and multi-temporal auxiliary data and a plurality of geoscience data space autocorrelation methods developed in recent years, wherein the research result of the calibration method based on DEM is very abundant, and the calibration method based on DEM can be roughly divided into a statistical-empirical model, a normalized model, a Lambert body reflectivity model and a non-Lambert body reflectivity model (Gaoyongnian and Zhang Wanchang, 2008). The band ratio method is the simplest method for eliminating terrain shadows, and can reduce the influence of the terrain shadows to a certain extent, but the effect is usually limited, and particularly when the surface coverage has similar reflection characteristics, the albedo difference becomes blurred. In the method based on DEM auxiliary data, the statistical-empirical model mainly comprises a Tellet-regression correction (Tellet et al, 1982), a b correction and a variable empirical coefficient method (VECA) and the like; the normalized model is more classical 2-stage correction method proposed in 1989 by Civco et al; lambertian bulk reflectance models mainly include Cosin correction (Ekstrand et al, 1996), C correction (Tokola et al, 2001), Cosin-T model, Cosin-C model, Cosin-b model, SCS model (Gu and Gillespie et al, 1998), SCS + C model (Soenen et al, 2005), and the like; non-lambertian body reflectance models include primarily minnart correction (Bishop et al, 2003), Ekstrand-e model (Ekstrand et al, 1996), and minnart-SCS model (Vincini et al, 2002), among others. The method is based on the spatial autocorrelation of geological data, the spatial autocorrelation of the pixels of the geological features in the nature is utilized to model and restore weak spectral information of a shadow area, for example, the fact that the zhangtian and the like carry out information reconstruction on the hilly area by utilizing an envelope elimination method (zhangtian and the like, 2017), the fact that the Yang Qiyong and the like adopt a Kriging method to repair the mountain shadow area of a remote sensing image of the hilly area (Yang Qiyong and the like, 2012) all obtain better effects, but the surrounding similar pixels are used for replacing the corresponding pixels of the shadow area, and the geological information of the shadow area can be distorted. Considering that most terrain correction models mainly aim at influences caused by different incident angles of pixel direct solar rays due to terrain fluctuation, the terrain correction models have obvious effect on areas irradiated by the direct solar rays, and when the terrain correction models act on shadow areas without direct solar ray irradiation, more problems of overcorrection, undercorrection and the like often exist, and the shadow area information needs to be compensated first and then corrected. The scholars such as Yueyinje and Linxi use DEM data to classify shadows of mountain regions in 2018 in detail, the 8 types are divided, different models are adopted to correct the shadows according to different types of the shadows, shadow detection-compensation is adopted for areas without direct light irradiation, and then correction is carried out by using a scheme of a terrain correction model (Yueyinje and Linxi, and the like, 2018), so that a good effect is achieved, but the model is high in complexity and large in implementation difficulty. The terrain correction model based on DEM auxiliary data has good applicability in many scenes, plays an important role in the practical application of the remote sensing technology, but has some limitations and disadvantages: the correction accuracy depends on the quality, completeness and spatial resolution of the DEM; registration error between the remote sensing image and the DEM; the high-precision DEM data acquisition cost is high, and data in many regions are lost; the phenomena of local over-correction and under-correction easily occur in the area with the solar incident angle close to 90 degrees, and the method is not suitable for complex terrain areas.
In addition, many excellent models have been developed for correcting the shadow of the high-resolution remote sensing image in the urban area, and the classical models include a histogram matching method (Dare, 2005; Sarabandi et al, 2004), a gamma correction (Nakajima et al, 2002), a mean variance transformation Method (MVT) (Chen et al, 2007; Zhan et al, 2005; Shahtahmasebi et al, 2013), and the like. The method has the advantages of simplicity, high efficiency and easy realization, obtains good application effect in a plurality of scenes, proves the practicability, and has the defects that the physical significance of parameters is unknown and the functions can be realized only under the condition that certain prior hypothesis is established. The detection and removal of cloud shadow are more common solutions such as radar microwave remote sensing, semi-physical models, wavelet transformation, hybrid models and multi-source and multi-temporal data methods, and the basic idea is to detect a mask firstly by using spectral characteristic attributes or morphological characteristics of the shadow and then remove the mask. Arellano researches on the removal of cloud shadows by using radar data in 2003, the main problem is that microwave signals are weak, so that image resolution is low, Roy and Jin research on the removal of cloud shadows of MODIS and Landsat ETM + data by using semi-physical models in 2008 and 2013 respectively, Carvalho removes the shadows by using a nonlinear wavelet regression analysis method in 2001, and has better robustness, and Richter and Muller research on the removal of the cloud shadows by using a multi-end spectral decomposition idea in 2005. The method has good effect in each scene, but still has the problems that the geometric homography of multi-source data, the calculation of the field angle of the sensor, the correction of solar spectrum and the like are difficult to solve.
Therefore, the above-mentioned defects existing in the existing remote sensing image shadow correction are a technical problem to be solved urgently.
Disclosure of Invention
The invention provides a method and a system for reconstructing a spectrum of a generalized shadow of a remote sensing image based on statistics, and aims to solve the technical problem of the defects in the existing shadow correction of the remote sensing image.
The invention relates to a remote sensing image generalized shadow spectrum reconstruction method based on statistics, which comprises the following steps:
obtaining remote sensing image data to be subjected to spectral reconstruction, carrying out radiometric calibration on the remote sensing image data, converting the remote sensing image data into radiometric data, and simultaneously carrying out data cutting on a region to be subjected to spectral reconstruction;
performing mixed spectrum decomposition on the spectral reconstruction region after data cutting, and extracting shadow base components
Figure 769438DEST_PATH_IMAGE002
According to a radiation transmission theory, deducing a generalized shadow consistency spectrum reconstruction equation R (lambda, x, y);
and acquiring spectral parameters based on MVT statistical equation estimation, and realizing the generalized shadow spectral reconstruction of the remote sensing image to be subjected to spectral reconstruction.
Further, the step of performing mixed spectrum decomposition on the spectral reconstruction region after data clipping and extracting shadow basis components comprises:
the shadow basis components are extracted using the SMACC algorithm.
Further, according to the radiation transmission theory, the step of deriving the generalized shadow consistency spectral reconstruction equation R (λ, x, y) includes:
establishing an MVT statistical equation under the classical definition of the remote sensing image shadow;
for the extracted shadow base component
Figure DEST_PATH_IMAGE003
Performing mathematical transformation and mapping to obtain shadow component map of each band
Figure DEST_PATH_IMAGE005
Further, the generalized shadow consistency spectral reconstruction equation R (λ, x, y) is derived as:
Figure DEST_PATH_IMAGE007
wherein the content of the first and second substances,
Figure DEST_PATH_IMAGE009
representing picture elements
Figure DEST_PATH_IMAGE011
Radiance after spectral reconstruction
Figure 622118DEST_PATH_IMAGE013
Representing an initial radiance;
Figure 801427DEST_PATH_IMAGE005
representing picture elements
Figure 152249DEST_PATH_IMAGE011
(ii) each band shadow component;
Figure 123616DEST_PATH_IMAGE015
representing the range radiation as a constant term;
shadow component of each band
Figure 537411DEST_PATH_IMAGE005
Comprises the following steps:
Figure 594229DEST_PATH_IMAGE017
wherein the content of the first and second substances,
Figure 876306DEST_PATH_IMAGE019
representing a shadow base component
Figure 187333DEST_PATH_IMAGE021
Scaling function of
Figure 21296DEST_PATH_IMAGE023
Representing a transformation parameter;
Figure 50563DEST_PATH_IMAGE025
representing the curved surface translation factor after transformation;
shadow base component
Figure 260965DEST_PATH_IMAGE003
Mapping to band-shadow components
Figure 706726DEST_PATH_IMAGE005
The mapping function used is:
Figure 852536DEST_PATH_IMAGE026
wherein the content of the first and second substances,
Figure 618367DEST_PATH_IMAGE019
representing a shadow base component
Figure 117613DEST_PATH_IMAGE021
Scaling function of
Figure 918078DEST_PATH_IMAGE028
Representing a transformation parameter;
Figure 969211DEST_PATH_IMAGE030
a classic shaded area is shown and is,
Figure 973070DEST_PATH_IMAGE032
a classical non-shaded region is indicated.
Further, the step of obtaining the spectrum parameters based on the MVT statistical equation estimation and realizing the generalized shadow spectrum reconstruction of the remote sensing image to be subjected to spectrum reconstruction comprises the following steps:
obtaining spectral parameters based on MVT statistical equation estimation;
and substituting the acquired spectral parameters into a generalized shadow consistency spectral reconstruction equation R (lambda, x, y) to obtain a generalized shadow spectral reconstruction result of the remote sensing image to be subjected to spectral reconstruction.
Another aspect of the present invention relates to a system for reconstructing a spectrum of a generalized shadow of a remote sensing image based on statistics, comprising:
the cutting module is used for acquiring remote sensing image data to be subjected to spectral reconstruction, carrying out radiometric calibration on the remote sensing image data, converting the remote sensing image data into radiometric data, and simultaneously carrying out data cutting on a spectral reconstruction area to be subjected to spectral reconstruction;
an extraction module for performing mixed spectrum decomposition on the spectrum reconstruction region after data clipping to extract shadow basis component
Figure 525274DEST_PATH_IMAGE002
The derivation module is used for deriving a generalized shadow consistency spectrum reconstruction equation R (lambda, x, y) according to a radiation transmission theory;
and the reconstruction module is used for acquiring spectral parameters based on MVT statistical equation estimation and realizing the generalized shadow spectral reconstruction of the remote sensing image to be subjected to spectral reconstruction.
Further, the extraction module comprises:
and the extracting unit is used for extracting the shadow base component by adopting an SMACC algorithm.
Further, the derivation module includes:
the establishing unit is used for establishing an MVT statistical equation under the classical definition of the remote sensing image shadow;
a mapping unit for mapping the extracted shadow base component
Figure 665400DEST_PATH_IMAGE003
Performing mathematical transformation and mapping to obtain shadow component map of each band
Figure 277647DEST_PATH_IMAGE005
Further, the generalized shadow consistency spectral reconstruction equation R (λ, x, y) is derived as:
Figure 893436DEST_PATH_IMAGE007
wherein the content of the first and second substances,
Figure 731554DEST_PATH_IMAGE009
representing picture elements
Figure 241033DEST_PATH_IMAGE011
Radiance after spectral reconstruction
Figure 774914DEST_PATH_IMAGE013
Representing an initial radiance;
Figure 877999DEST_PATH_IMAGE005
representing picture elements
Figure 772006DEST_PATH_IMAGE011
Shadow component of each band
Figure 621144DEST_PATH_IMAGE015
Representing the range radiation as a constant term;
shadow component of each band
Figure 309614DEST_PATH_IMAGE005
Comprises the following steps:
Figure 775362DEST_PATH_IMAGE017
wherein the content of the first and second substances,
Figure 207480DEST_PATH_IMAGE019
representing a shadow base component
Figure 566917DEST_PATH_IMAGE021
Scaling function of
Figure 445530DEST_PATH_IMAGE023
Representing a transformation parameter;
Figure 382262DEST_PATH_IMAGE025
representing the curved surface translation factor after transformation;
shadow base component
Figure 634383DEST_PATH_IMAGE003
Mapping to band-shadow components
Figure 848327DEST_PATH_IMAGE005
The mapping function used is:
Figure 144179DEST_PATH_IMAGE026
wherein the content of the first and second substances,
Figure 584519DEST_PATH_IMAGE019
representing a shadow base component
Figure 233806DEST_PATH_IMAGE021
A scaling transformation function of (a);
Figure 692469DEST_PATH_IMAGE028
representing a transformation parameter;
Figure 909955DEST_PATH_IMAGE030
a classic shaded area is shown and is,
Figure 821279DEST_PATH_IMAGE033
a classical non-shaded region is indicated.
Further, the reconstruction module includes:
the acquisition unit is used for acquiring spectral parameters based on MVT statistical equation estimation;
and the substituting unit is used for substituting the acquired spectral parameters into a generalized shadow consistency spectral reconstruction equation R (lambda, x, y) to obtain a generalized shadow spectral reconstruction result of the remote sensing image to be subjected to spectral reconstruction.
The beneficial effects obtained by the invention are as follows:
the invention provides a remote sensing image generalized shadow spectrum reconstruction method and system based on statistics.A remote sensing image data to be subjected to spectrum reconstruction is obtained, and the remote sensing image data is subjected to radiometric calibration and converted into radiometric data, and meanwhile, data cutting is carried out on a spectrum reconstruction area to be subjected to; performing mixed spectrum decomposition on the spectrum reconstruction area subjected to data cutting, and extracting shadow basis components; according to a radiation transmission theory, deducing a generalized shadow consistency spectrum reconstruction equation; and acquiring spectral parameters based on statistical equation estimation to realize the generalized shadow spectral reconstruction of the remote sensing image to be subjected to spectral reconstruction. The remote sensing image generalized shadow spectrum reconstruction method and system based on statistics break through the classical definition of the traditional remote sensing image shadow, derive a new generalized shadow consistency spectrum reconstruction equation, have natural color transition of the reconstruction result, have more prominent texture and no edge effect, and have very obvious effect; for a small amount of ground information missing areas in the image, complete automatic filtering is realized, error correction of pixels in the information missing areas is eliminated, and the fidelity of the recorded information of the image data is maintained to the maximum extent.
Drawings
FIG. 1 is a schematic flow chart of an embodiment of a method for reconstructing a spectrum of a generalized shadow of a remote sensing image based on statistics according to the present invention;
FIG. 2 is a schematic view of a detailed flowchart of an embodiment of the step of deriving the generalized shadow coherence spectral reconstruction equation shown in FIG. 1 according to the radiation transmission theory;
FIG. 3 is a schematic view of a detailed flow chart of an embodiment of the step of obtaining spectral parameters based on statistical equation estimation and implementing the spectral reconstruction of the generalized shadow of the remote sensing image to be spectrally reconstructed shown in FIG. 1;
FIG. 4 is an initial image of the ASTER image generalized shadow spectral reconstruction of the present invention;
FIG. 5 is a diagram of experimental theoretical results of the ASTER image generalized shadow spectral reconstruction of the present invention;
FIG. 6 is a functional block diagram of an embodiment of a system for reconstructing a generalized shadow spectrum of a remote sensing image based on statistics according to the present invention;
FIG. 7 is a functional block diagram of an embodiment of the derivation module shown in FIG. 6;
fig. 8 is a functional block diagram of an embodiment of the reconstruction module shown in fig. 6.
The reference numbers illustrate:
10. a cutting module; 20. an extraction module; 30. a derivation module; 40. a reconstruction module; 31. a building unit; 32. a mapping unit; 41. an acquisition unit; 42. and substituting the unit.
Detailed Description
In order to better understand the technical solution, the technical solution will be described in detail with reference to the drawings and the specific embodiments.
As shown in fig. 1, a first embodiment of the present invention provides a method for reconstructing a spectrum of a generalized shadow of a remote sensing image based on statistics, which includes the following steps:
and S100, obtaining remote sensing image data to be subjected to spectral reconstruction, carrying out radiometric calibration on the remote sensing image data, converting the remote sensing image data into radiometric data, and simultaneously carrying out data cutting on a spectral reconstruction region to be subjected to spectral reconstruction.
And acquiring remote sensing image data to be subjected to spectral reconstruction, carrying out radiometric calibration on the remote sensing image data, converting the remote sensing image data to be subjected to spectral reconstruction into radiometric data, and simultaneously carrying out data cutting on a region to be subjected to spectral reconstruction, and recording the data as I.
And S200, performing mixed spectrum decomposition on the spectrum reconstruction area subjected to data cutting, and extracting shadow basis components.
Performing mixed spectrum decomposition on the I by adopting an SMACC (sequential MaximumAngle ConvexCone) algorithm, extracting shadow basis components, and recording the shadow basis components as
Figure 274257DEST_PATH_IMAGE002
And S300, deriving a generalized shadow consistency spectrum reconstruction equation according to a radiation transmission theory.
According to the radiation transmission theory, a generalized shadow consistency spectrum reconstruction equation is deduced
Figure 69650DEST_PATH_IMAGE035
And S400, acquiring spectral parameters based on statistical equation estimation, and realizing the generalized shadow spectral reconstruction of the remote sensing image to be subjected to spectral reconstruction.
And acquiring spectral parameters based on MVT statistical equation estimation, and realizing the generalized shadow spectral reconstruction of the remote sensing image to be subjected to spectral reconstruction.
The remote sensing image generalized shadow spectrum reconstruction method based on statistics provided by the embodiment has the following working principle:
most of the traditional remote sensing image shadow correction methods are based on the classical definition of traditional shadows, firstly, various characteristics caused by the shadows are used for detection, then different models are used for partition processing according to different scenes, and as the shadows have transition regions, the problems of block edge effect, local overcorrection and undercorrection are inevitably caused. In fact, the nature does not have an absolutely ideal mirror image ground, and on the contrary, the ground is rough and uneven, so that shading effects of different degrees are necessarily existed, therefore, the generalized shadow should exist in any one pixel in the remote sensing image, and only the components of the shadow of different pixels are different. Consider such a scenario: in the non-shadow region of the low-resolution remote sensing image, a corresponding high-resolution image may have a classical shadow pixel, so that, in a broad sense, a corresponding pixel in the low-resolution remote sensing image cannot be defined as the non-shadow region, but the shadow component is small, and the caused effect is not enough to define the image as the classical shadow region, which is caused by the scale effect. According to the embodiment, a mathematical basis component M (x, y) for uniformly and quantitatively describing generalized shadows in the remote sensing images is extracted from a single-scene remote sensing image by adopting an SMACC algorithm according to a mixed spectrum decomposition principle, then a segmented mapping function is established to map the mathematical basis component M (x, y) into shadow components S (lambda, x, y) with different wave bands, finally a generalized shadow consistency spectrum reconstruction equation R (lambda, x, y) is deduced according to a radiation transmission theory, equation parameters of R (lambda, x, y) are estimated based on an MVT statistical equation, and the generalized shadow spectrum reconstruction of the multi/hyperspectral remote sensing image is realized.
Compared with the prior art, the remote sensing image generalized shadow spectrum reconstruction method based on statistics is characterized in that remote sensing image data to be subjected to spectrum reconstruction are obtained, radiometric calibration is carried out on the remote sensing image data, the remote sensing image data are converted into radiometric data, and meanwhile data cutting is carried out on a spectral reconstruction area to be subjected; performing mixed spectrum decomposition on the spectrum reconstruction area subjected to data cutting, and extracting shadow basis components; according to a radiation transmission theory, deducing a generalized shadow consistency spectrum reconstruction equation; and acquiring spectral parameters based on statistical equation estimation to realize the generalized shadow spectral reconstruction of the remote sensing image to be subjected to spectral reconstruction. The remote sensing image generalized shadow spectrum reconstruction method based on statistics breaks through the classical definition of the traditional remote sensing image shadow, deduces a new generalized shadow consistency spectrum reconstruction equation, and has the advantages of natural color transition, more prominent texture, no edge effect and very obvious effect of the reconstruction result; for a small amount of ground information missing areas in the image, complete automatic filtering is realized, error correction of pixels in the information missing areas is eliminated, and the fidelity of the recorded information of the image data is maintained to the maximum extent.
Further, please refer to fig. 2, fig. 2 is a schematic detailed flowchart of an embodiment of step S300 shown in fig. 1, in this embodiment, step S300 includes:
and S310, establishing a statistical equation under the classical definition of the remote sensing image shadow.
And establishing an MVT statistical equation under the classical definition of the remote sensing image shadow, wherein the parameters of the MVT statistical equation are given according to the remote sensing image shadow detection method of energy integration.
Step S320, performing mathematical transformation on the extracted shadow basis component, and mapping the shadow basis component into a shadow component map of each band.
For the extracted shadow base component
Figure 707305DEST_PATH_IMAGE003
Performing mathematical transformation and mapping to obtain shadow component map of each band
Figure 856658DEST_PATH_IMAGE005
. And deducing a generalized shadow consistency spectrum reconstruction equation R (lambda, x, y) according to a radiation transmission theory.
The mathematical principle of deriving the generalized shadow consistency spectral reconstruction equation R (λ, x, y) according to the radiation transmission theory is as follows:
a. in this embodiment, a generalized shadow consistency spectral reconstruction equation is constructed under the assumption of Proy:
proy assumes that: the earth surface is a lambertian body, and the total radiation of the pixels received by the sensor is divided into direct solar radiation reflected by the ground objects, downward scattered radiation reflected by the atmosphere, light radiation reflected by the surrounding environment and upward scattered path radiation reflected by the atmosphere.
Under completely ideal conditions, the sun is irradiated by all direct rays, and the reflectivity of the ground object X is as follows:
Figure 237961DEST_PATH_IMAGE037
(1)
in the formula (1), the first and second groups,
Figure 281003DEST_PATH_IMAGE039
represents the surface feature X reflectivity;
Figure 574712DEST_PATH_IMAGE041
representing apparent brightness of corresponding pixel of sensor
Figure 195049DEST_PATH_IMAGE043
Representing atmospheric range radiation;
Figure 130775DEST_PATH_IMAGE045
represents the atmospheric radiation transmittance along the observation direction of the sensor;
Figure 152958DEST_PATH_IMAGE047
representing the direct solar radiation received by the ground object X;
Figure 7782DEST_PATH_IMAGE049
representing the atmospheric downlink scattered optical radiation received by X,
Figure 122938DEST_PATH_IMAGE051
representing the ambient radiation received by X.
Under natural conditions, only part of the direct sunlight is irradiated due to the mutual shielding effect of the ground objects, and the reflectivity of the ground object X is
Figure 846043DEST_PATH_IMAGE053
(2)
In the formula (2), the first and second groups,
Figure 863677DEST_PATH_IMAGE039
represents the surface feature X reflectivity;
Figure 30348DEST_PATH_IMAGE055
representing the apparent brightness of the corresponding pixel of the sensor;
Figure 359698DEST_PATH_IMAGE043
representing atmospheric range radiation;
Figure 371647DEST_PATH_IMAGE045
represents the atmospheric radiation transmittance along the observation direction of the sensor;
Figure 368422DEST_PATH_IMAGE057
representing the direct solar radiation received by the ground object X,
Figure 830628DEST_PATH_IMAGE059
Figure 398006DEST_PATH_IMAGE049
representing atmospheric scattered light radiation received by the terrain X,
Figure 994073DEST_PATH_IMAGE051
representing the ambient radiation received by X.
The feature reflectivity is a material property of the feature, and is constant, and formula (1) = formula (2).
Figure 327578DEST_PATH_IMAGE061
Is a constant term, within a certain spatial range, instantaneous
Figure 695105DEST_PATH_IMAGE045
Figure 999047DEST_PATH_IMAGE043
Approximately constant, we derive:
Figure 618379DEST_PATH_IMAGE062
(3)
order to
Figure 58587DEST_PATH_IMAGE064
Then equation (3) transforms to:
Figure 737961DEST_PATH_IMAGE066
(4)
as can be seen from the formula (4), the apparent radiance of the shadow area pixel can be restored by linear transformation,
Figure 529200DEST_PATH_IMAGE068
the mean variance transformation method assumes that pixels in a shadow area and pixels in a non-shadow area have the same mean and variance, and the core equation is as follows:
Figure 76856DEST_PATH_IMAGE069
(5)
in the formula (5)
Figure 653462DEST_PATH_IMAGE071
Is a shadow regionThe radiation brightness after pixel correction;
Figure 487426DEST_PATH_IMAGE073
Figure 785202DEST_PATH_IMAGE075
Figure 870969DEST_PATH_IMAGE077
Figure 551349DEST_PATH_IMAGE079
statistical mean and standard deviation of the shaded and unshaded regions, respectively.
The MVT method does not take into account the spatial variability of the shadow components, assuming that k is constant. Under the thought framework of generalized shadow, k is no longer constant, shadow components exist in any pixel, and the formula (4) needs to be further extended. Considering picture elements
Figure 572526DEST_PATH_IMAGE011
In the wavelength band of the wavelength λ, its shadow component is assumed to be
Figure 213723DEST_PATH_IMAGE005
Then equation (4) is transformed into
Figure 227815DEST_PATH_IMAGE081
(5)
In the formula (5), the first and second groups,
Figure 513434DEST_PATH_IMAGE009
representing picture elements
Figure 954780DEST_PATH_IMAGE011
Radiance after spectral reconstruction
Figure 83273DEST_PATH_IMAGE013
Representing an initial radiance;
Figure 386209DEST_PATH_IMAGE005
to representPixel element
Figure 41182DEST_PATH_IMAGE011
A shadow component;
Figure 401231DEST_PATH_IMAGE015
representing the range radiation as a constant term.
Equation (5) is named as the generalized shadow consistency spectral reconstruction equation, where,
Figure 751441DEST_PATH_IMAGE083
for the shadow component function, the key to solving equation (5) is
Figure 107336DEST_PATH_IMAGE083
Is estimated.
Two, pair the extracted shadow base component
Figure 367547DEST_PATH_IMAGE003
Performing mathematical transformation and mapping to obtain shadow component map of each band
Figure 150696DEST_PATH_IMAGE005
The principle of (1) is as follows:
a. the embodiment adopts the mapping of shadow base components extracted by the mixed spectrum decomposition technology to the shadow components of each wave band
In the process of decomposing the remote sensing image mixed spectrum, the shadow can be treated as a separate 'spectrum end member' due to the unique attribute of the shadow. In the continuous maximum Convex pyramid (SMACC) model, the continuous maximum Convex pyramid (SMACC) is extracted as a 'Null Vector' connecting the Convex pyramid (A Convex Cone) model and the Convex bag model (A Convex Hull), representing the total shadow components, and in addition, a Bayesian method, a linear spectral decomposition model (MESMA) and the like can be used for obtaining a component map of the shadow 'spectral end members'. Obviously, in the remote sensing image, the size of the shadow component changes with different wavelengths, and the shadow component cannot be directly used as the shadow component of the consistent spectral reconstruction equation. In the embodiment, the SMACC algorithm is adopted to extract the shadow basis component from the remote sensing image, and the shadow basis component is recorded as
Figure 519360DEST_PATH_IMAGE003
Then the shadow component is mapped into a shadow component graph of each wave band through mathematical transformation and is recorded as
Figure 164099DEST_PATH_IMAGE005
The present embodiment considers a simple mathematical mapping model:
Figure 528084DEST_PATH_IMAGE002
the value interval of the element is (0, 1), the geometric form is an uneven curved surface between a 0 plane and a 1 plane in a three-dimensional rectangular coordinate system, the mapping process is a process of stretching and translating the curved surface in the interval (0, 1) in the z-axis direction, and different functions can be considered in the stretching process, such as stretching
Figure 357500DEST_PATH_IMAGE085
Figure 823248DEST_PATH_IMAGE087
Etc., as follows.
Figure 520945DEST_PATH_IMAGE088
(6)
In the formula (6), the first and second groups,
Figure 880382DEST_PATH_IMAGE089
representing a shadow base component
Figure 770714DEST_PATH_IMAGE021
A scaling transformation function of (a);
Figure 707446DEST_PATH_IMAGE028
representing transformation parameters
Figure 84201DEST_PATH_IMAGE091
Representing the transformed surface translation factor.
Substituting the formula (6) into the formula (5), and solvingIs most preferred
Figure 173511DEST_PATH_IMAGE093
Figure 469363DEST_PATH_IMAGE095
And
Figure 644123DEST_PATH_IMAGE096
shadow base component
Figure 558990DEST_PATH_IMAGE003
Mapping to band-shadow components
Figure 283232DEST_PATH_IMAGE005
The mapping function used is:
Figure 500718DEST_PATH_IMAGE097
(7)
in the formula (7), the first and second groups,
Figure 21829DEST_PATH_IMAGE089
representing a shadow base component
Figure 865020DEST_PATH_IMAGE021
A scaling transformation function of (a);
Figure 925993DEST_PATH_IMAGE028
representing a transformation parameter;
Figure 563647DEST_PATH_IMAGE098
represents a classical shadow region;
Figure 572055DEST_PATH_IMAGE099
a classical non-shaded region is indicated.
Compared with the prior art, the remote sensing image generalized shadow spectrum reconstruction method based on statistics establishes a statistical equation under the classical definition of the remote sensing image shadow; and performing mathematical transformation on the extracted shadow basis components, and mapping into a shadow component map of each wave band. The remote sensing image generalized shadow spectrum reconstruction method based on statistics breaks through the classical definition of the traditional remote sensing image shadow, deduces a new generalized shadow consistency spectrum reconstruction equation, and has the advantages of natural color transition, more prominent texture, no edge effect and very obvious effect of the reconstruction result; for a small amount of ground information missing areas in the image, complete automatic filtering is realized, error correction of pixels in the information missing areas is eliminated, and the fidelity of the recorded information of the image data is maintained to the maximum extent.
Preferably, referring to fig. 3, fig. 3 is a schematic view of a detailed flow of an embodiment of step S400 shown in fig. 1, in this embodiment, step S400 includes:
and S410, obtaining spectral parameters based on statistical equation estimation.
Equation parameter estimation based on statistics: in the data of the example, the slope vector of the MVT equation parameter
Figure 704090DEST_PATH_IMAGE101
And intercept vector
Figure 871766DEST_PATH_IMAGE103
The vectors are as follows:
Figure 431054DEST_PATH_IMAGE105
(8)
Figure 457916DEST_PATH_IMAGE107
(9)
range radiation
Figure 111752DEST_PATH_IMAGE015
According to equation (4), the vector in the experiment
Figure 150246DEST_PATH_IMAGE015
Calculated using the formula:
Figure 864124DEST_PATH_IMAGE109
(9)
Figure 725419DEST_PATH_IMAGE111
(10)
mapping function parameters
Figure 323891DEST_PATH_IMAGE093
Figure 466159DEST_PATH_IMAGE095
Satisfies the following formula:
Figure 429567DEST_PATH_IMAGE113
(11)
in formula (11)
Figure 978491DEST_PATH_IMAGE115
Represents a mathematical expectation;
Figure 505288DEST_PATH_IMAGE117
representing base surfaces of shadow components
Figure 252795DEST_PATH_IMAGE003
The classical shadow part of (a), is obviously an underdetermined equation,
Figure 574055DEST_PATH_IMAGE093
Figure 531647DEST_PATH_IMAGE095
the experimental data are as follows:
Figure 344357DEST_PATH_IMAGE119
(12)
Figure 930059DEST_PATH_IMAGE121
(13)
shadow base curve
Figure 172953DEST_PATH_IMAGE003
After the piecewise function transformation, 5 × 5 low-pass filtering is carried out to obtain the shadow component curved surface of each wave band
Figure 742475DEST_PATH_IMAGE123
Translation vector of curved surface
Figure 361806DEST_PATH_IMAGE091
Solved by the following equation:
Figure 942960DEST_PATH_IMAGE125
(14)
in the formula (14), the first and second groups,
Figure 871602DEST_PATH_IMAGE127
representing the shadow component curved surface of each wave band;
Figure 413573DEST_PATH_IMAGE123
statistical maximum of classical shadow region;
Figure 226808DEST_PATH_IMAGE091
representing the translation vector of the surface.
The concrete solving results are as follows:
Figure 787102DEST_PATH_IMAGE129
Figure 628589DEST_PATH_IMAGE131
and step S420, substituting the acquired spectral parameters into a generalized shadow consistency spectral reconstruction equation to obtain a generalized shadow spectral reconstruction result of the remote sensing image to be subjected to spectral reconstruction.
Substituting the acquired spectral parameters into the generalized shadow consistency spectral reconstruction equation of the formula (5) to obtain a generalized shadow spectral reconstruction result of the remote sensing image to be subjected to spectral reconstruction, wherein initial image and experimental reconstruction result graphs of the ASTER image generalized shadow spectral reconstruction are respectively shown in FIG. 4 and FIG. 5.
Compared with the traditional remote sensing image data shadow correction method, as can be clearly seen from fig. 5, most of shadow region information of the image is restored to the result approximately consistent with the non-shadow region by the method provided by the embodiment, the color transition is natural, the texture is more prominent, no edge effect exists, and the effect is very obvious. Meanwhile, for a small number of 'black spot areas', because the pixel reflection radiation is very weak and is close to the '0' reflection pixel, the data recorded by the sensor is similar to the atmospheric upstroke radiation noise, which is equivalent to a ground information missing area, the data can be identified, the reconstruction of false information is eliminated, and the fidelity of the information recorded by the image data is maintained to the maximum extent.
Compared with the prior art, the remote sensing image generalized shadow spectrum reconstruction method based on statistics obtains spectrum parameters through MVT statistical equation estimation; and substituting the acquired spectral parameters into the generalized shadow consistency spectral reconstruction equation to obtain a generalized shadow spectral reconstruction result of the remote sensing image to be subjected to spectral reconstruction. The remote sensing image generalized shadow spectrum reconstruction method based on statistics breaks through the classical definition of the traditional remote sensing image shadow, deduces a new generalized shadow consistency spectrum reconstruction equation, and has the advantages of natural color transition, more prominent texture, no edge effect and very obvious effect of the reconstruction result; for a small amount of ground information missing areas in the image, complete automatic filtering is realized, error correction of pixels in the information missing areas is eliminated, and the fidelity of the recorded information of the image data is maintained to the maximum extent.
As shown in fig. 6, the invention further provides a statistics-based remote sensing image generalized shadow spectrum reconstruction system, which includes a clipping module 10, an extraction module 20, a derivation module 30 and a reconstruction module 40, wherein the clipping module 10 is configured to obtain remote sensing image data to be subjected to spectrum reconstruction, perform radiometric calibration on the remote sensing image data, convert the remote sensing image data into radiometric data, and perform data clipping on a spectral reconstruction region to be subjected to spectrum reconstruction; the extraction module 20 is configured to perform mixed spectrum decomposition on the spectrum reconstruction region after the data clipping, and extract a shadow basis component; the derivation module 30 is configured to derive a generalized shadow consistency spectrum reconstruction equation according to a radiation transmission theory; and the reconstruction module 40 is used for acquiring spectral parameters based on statistical equation estimation and realizing the generalized shadow spectral reconstruction of the remote sensing image to be subjected to spectral reconstruction.
The cutting module 10 obtains remote sensing image data to be subjected to spectral reconstruction, performs radiometric calibration on the remote sensing image data, converts the remote sensing image data to be subjected to spectral reconstruction into radiometric data, and performs data cutting on a region to be subjected to spectral reconstruction, and records the data as I.
The extracting module 20 performs mixed spectrum decomposition on the I by using an SMACC (sequential maximum angle convex cone analysis) algorithm, extracts a shadow basis component, and records the shadow basis component as
Figure 907123DEST_PATH_IMAGE002
The derivation module 30 derives the generalized shadow consistency spectrum reconstruction equation according to the radiation transmission theory
Figure 992891DEST_PATH_IMAGE035
The reconstruction module 40 obtains spectral parameters based on the MVT statistical equation estimation, and realizes the spectral reconstruction of the generalized shadow of the remote sensing image to be subjected to spectral reconstruction.
The remote sensing image generalized shadow spectrum reconstruction system based on statistics provided by the embodiment has the following working principle:
most of the traditional remote sensing image shadow correction methods are based on the classical definition of traditional shadows, firstly, various characteristics caused by the shadows are used for detection, then different models are used for partition processing according to different scenes, and as the shadows have transition regions, the problems of block edge effect, local overcorrection and undercorrection are inevitably caused. In fact, the nature does not have an absolutely ideal mirror image ground, and on the contrary, the ground is rough and uneven, so that shading effects of different degrees are necessarily existed, therefore, the generalized shadow should exist in any one pixel in the remote sensing image, and only the components of the shadow of different pixels are different. Consider such a scenario: in the non-shadow region of the low-resolution remote sensing image, a corresponding high-resolution image may have a classical shadow pixel, so that, in a broad sense, a corresponding pixel in the low-resolution remote sensing image cannot be defined as the non-shadow region, but the shadow component is small, and the caused effect is not enough to define the image as the classical shadow region, which is caused by the scale effect. According to the embodiment, a mathematical basis component M (x, y) for uniformly and quantitatively describing generalized shadows in the remote sensing images is extracted from a single-scene remote sensing image by adopting an SMACC algorithm according to a mixed spectrum decomposition principle, then a segmented mapping function is established to map the mathematical basis component M (x, y) into shadow components S (lambda, x, y) with different wave bands, finally a generalized shadow consistency spectrum reconstruction equation R (lambda, x, y) is deduced according to a radiation transmission theory, equation parameters of R (lambda, x, y) are estimated based on an MVT statistical equation, and the generalized shadow spectrum reconstruction of the multi/hyperspectral remote sensing image is realized.
Compared with the prior art, the system for reconstructing the spectrum of the generalized shadow of the remote sensing image based on statistics obtains the remote sensing image data to be subjected to spectrum reconstruction, performs radiometric calibration on the remote sensing image data, converts the remote sensing image data into radiometric data, and performs data cutting on the region to be subjected to spectrum reconstruction; performing mixed spectrum decomposition on the spectrum reconstruction area subjected to data cutting, and extracting shadow basis components; according to a radiation transmission theory, deducing a generalized shadow consistency spectrum reconstruction equation; and acquiring spectral parameters based on statistical equation estimation to realize the generalized shadow spectral reconstruction of the remote sensing image to be subjected to spectral reconstruction. The remote sensing image generalized shadow spectrum reconstruction system based on statistics breaks through the classical definition of the traditional remote sensing image shadow, deduces a new generalized shadow consistency spectrum reconstruction equation, and has the advantages of natural color transition, more prominent texture, no edge effect and very obvious effect of the reconstruction result; for a small amount of ground information missing areas in the image, complete automatic filtering is realized, error correction of pixels in the information missing areas is eliminated, and the fidelity of the recorded information of the image data is maintained to the maximum extent.
Further, please refer to fig. 7, fig. 7 is a schematic functional module diagram of an embodiment of the derivation module shown in fig. 6, in this embodiment, the derivation module 30 includes an establishing unit 31 and a mapping unit 32, and the establishing unit 31 is configured to establish a statistical equation under the classical definition of the remote sensing image shadow; the mapping unit 32 performs mathematical transformation on the extracted shadow basis components and maps the shadow basis components into a shadow component map of each band.
The establishing unit 31 establishes an MVT statistical equation under the classical definition of the remote sensing image shadow, wherein the parameters of the MVT statistical equation are given according to the remote sensing image shadow detection method of energy integration.
The mapping unit 32 maps the extracted shadow base component
Figure 689583DEST_PATH_IMAGE003
Performing mathematical transformation and mapping to obtain shadow component map of each band
Figure 960027DEST_PATH_IMAGE005
(ii) a And deducing a generalized shadow consistency spectrum reconstruction equation R (lambda, x, y) according to a radiation transmission theory.
Compared with the prior art, the remote sensing image generalized shadow spectrum reconstruction system based on statistics establishes a statistical equation under the classical definition of the remote sensing image shadow; and performing mathematical transformation on the extracted shadow basis components, and mapping into a shadow component map of each wave band. The remote sensing image generalized shadow spectrum reconstruction system based on statistics breaks through the classical definition of the traditional remote sensing image shadow, deduces a new generalized shadow consistency spectrum reconstruction equation, and has the advantages of natural color transition, more prominent texture, no edge effect and very obvious effect of the reconstruction result; for a small amount of ground information missing areas in the image, complete automatic filtering is realized, error correction of pixels in the information missing areas is eliminated, and the fidelity of the recorded information of the image data is maintained to the maximum extent.
Preferably, referring to fig. 8, fig. 8 is a functional module schematic diagram of an embodiment of the reconstruction module shown in fig. 6, in this embodiment, the reconstruction module 40 includes an obtaining unit 41 and a substituting unit 42, where the obtaining unit 41 is configured to obtain the spectral parameters based on the MVT statistical equation estimation; and a substituting unit 42, configured to substitute the acquired spectral parameters into a generalized shadow consistency spectral reconstruction equation R (λ, x, y), so as to obtain a generalized shadow spectral reconstruction result of the remote sensing image to be subjected to spectral reconstruction.
The obtaining unit 41 obtains the spectral parameters based on the MVT statistical equation estimation, and the spectral parameters may be slope vectors of the MVT equation parameters
Figure 601224DEST_PATH_IMAGE101
And intercept vector
Figure 366049DEST_PATH_IMAGE103
Vectors, and the like.
The substituting unit 42 substitutes the acquired spectral parameters into the generalized shadow consistency spectral reconstruction equation of equation (5) to obtain a generalized shadow spectral reconstruction result of the remote sensing image to be subjected to spectral reconstruction, wherein initial image and experimental reconstruction result graphs of the ASTER image generalized shadow spectral reconstruction are shown in fig. 4 and fig. 5, respectively.
Compared with the traditional remote sensing image data shadow correction method, as can be clearly seen from fig. 5, the system provided by the embodiment restores most shadow region information of the image to a result approximately consistent with a non-shadow region, and has the advantages of natural color transition, more prominent texture, no edge effect and very obvious effect. Meanwhile, for a small number of 'black spot areas', because the pixel reflection radiation is very weak and is close to the '0' reflection pixel, the data recorded by the sensor is similar to the atmospheric upstroke radiation noise, which is equivalent to a ground information missing area, the data can be identified, the reconstruction of false information is eliminated, and the fidelity of the information recorded by the image data is maintained to the maximum extent.
Compared with the prior art, the remote sensing image generalized shadow spectrum reconstruction system based on statistics obtains spectrum parameters through MVT statistical equation estimation; and substituting the acquired spectral parameters into the generalized shadow consistency spectral reconstruction equation to obtain a generalized shadow spectral reconstruction result of the remote sensing image to be subjected to spectral reconstruction. The remote sensing image generalized shadow spectrum reconstruction system based on statistics breaks through the classical definition of the traditional remote sensing image shadow, deduces a new generalized shadow consistency spectrum reconstruction equation, and has the advantages of natural color transition, more prominent texture, no edge effect and very obvious effect of the reconstruction result; for a small amount of ground information missing areas in the image, complete automatic filtering is realized, error correction of pixels in the information missing areas is eliminated, and the fidelity of the recorded information of the image data is maintained to the maximum extent.
While preferred embodiments of the present invention have been described, additional variations and modifications in those embodiments may occur to those skilled in the art once they learn of the basic inventive concepts. Therefore, it is intended that the appended claims be interpreted as including preferred embodiments and all such alterations and modifications as fall within the scope of the invention. It will be apparent to those skilled in the art that various changes and modifications may be made in the present invention without departing from the spirit and scope of the invention. Thus, if such modifications and variations of the present invention fall within the scope of the claims of the present invention and their equivalents, the present invention is also intended to include such modifications and variations.

Claims (8)

1. A remote sensing image generalized shadow spectrum reconstruction method based on statistics is characterized by comprising the following steps:
obtaining remote sensing image data to be subjected to spectral reconstruction, carrying out radiometric calibration on the remote sensing image data, converting the remote sensing image data into radiometric data, and simultaneously carrying out data cutting on a region to be subjected to spectral reconstruction;
performing mixed spectrum decomposition on the spectrum reconstruction area subjected to data cutting, and extracting shadow basis components;
according to a radiation transmission theory, deducing a generalized shadow consistency spectrum reconstruction equation;
acquiring spectral parameters based on statistical equation estimation, and realizing the generalized shadow spectral reconstruction of the remote sensing image to be subjected to spectral reconstruction;
the step of deriving the generalized shadow consistency spectral reconstruction equation according to the radiation transmission theory comprises:
establishing a statistical equation under the classical definition of the remote sensing image shadow;
and performing mathematical transformation on the extracted shadow basis components, and mapping into a shadow component map of each wave band.
2. The method for reconstructing the spectrum of generalized shadows of remote sensing images based on statistics of claim 1,
the step of performing mixed spectrum decomposition on the spectral reconstruction region after data clipping and extracting shadow basis components comprises the following steps:
the shadow basis components are extracted using the SMACC algorithm.
3. The method for reconstructing the spectrum of generalized shadows of remote sensing images based on statistics of claim 1,
the generalized shadow consistency spectral reconstruction equation R (λ, x, y) derived is:
Figure DEST_PATH_IMAGE001
wherein the content of the first and second substances,
Figure 64348DEST_PATH_IMAGE002
representing picture elements
Figure 175392DEST_PATH_IMAGE003
Radiance after spectral reconstruction;
Figure 278477DEST_PATH_IMAGE004
representing an initial radiance;
Figure 533003DEST_PATH_IMAGE005
representing picture elements
Figure 506776DEST_PATH_IMAGE003
(ii) each band shadow component;
Figure 664087DEST_PATH_IMAGE006
representing the range radiation as a constant term;
shadow component of each band
Figure 706999DEST_PATH_IMAGE005
Comprises the following steps:
Figure 748904DEST_PATH_IMAGE007
wherein the content of the first and second substances,
Figure 436237DEST_PATH_IMAGE008
representing a shadow base component
Figure 653199DEST_PATH_IMAGE009
A scaling transformation function of (a);
Figure 934138DEST_PATH_IMAGE010
representing a transformation parameter;
Figure 29002DEST_PATH_IMAGE011
representing the curved surface translation factor after transformation;
the shadow base component
Figure 836421DEST_PATH_IMAGE012
Mapping to band-shadow components
Figure 476481DEST_PATH_IMAGE005
The mapping function used is:
Figure 729870DEST_PATH_IMAGE013
wherein the content of the first and second substances,
Figure 238212DEST_PATH_IMAGE008
representing a shadow base component
Figure 775504DEST_PATH_IMAGE009
A scaling transformation function of (a);
Figure 835732DEST_PATH_IMAGE014
representing a transformation parameter;
Figure 91264DEST_PATH_IMAGE015
represents a classical shadow region;
Figure 137718DEST_PATH_IMAGE016
a classical non-shaded region is indicated.
4. The method for reconstructing the spectrum of generalized shadows of remote sensing images based on statistics of claim 1,
the method for achieving the spectral reconstruction of the generalized shadow of the remote sensing image to be subjected to spectral reconstruction based on the estimation of the statistical equation comprises the following steps of:
obtaining spectral parameters based on statistical equation estimation;
and substituting the acquired spectral parameters into the generalized shadow consistency spectral reconstruction equation to obtain a generalized shadow spectral reconstruction result of the remote sensing image to be subjected to spectral reconstruction.
5. A remote sensing image generalized shadow spectral reconstruction system based on statistics is characterized by comprising:
the cutting module (10) is used for acquiring remote sensing image data to be subjected to spectral reconstruction, carrying out radiometric calibration on the remote sensing image data, converting the remote sensing image data into radiometric data, and simultaneously carrying out data cutting on a spectral reconstruction area to be subjected to spectral reconstruction;
the extraction module (20) is used for carrying out mixed spectrum decomposition on the spectrum reconstruction area subjected to data cutting and extracting shadow basis components;
the derivation module (30) is used for deriving a generalized shadow consistency spectrum reconstruction equation according to a radiation transmission theory;
the reconstruction module (40) is used for obtaining spectral parameters based on statistical equation estimation and realizing the generalized shadow spectral reconstruction of the remote sensing image to be subjected to spectral reconstruction;
the derivation module (30) comprises:
the establishing unit (31) is used for establishing a statistical equation under the classical definition of the remote sensing image shadow;
and a mapping unit (32) for performing mathematical transformation on the extracted shadow base component and mapping the shadow base component into a shadow component map of each band.
6. The system for the generalized shadow spectral reconstruction of remote sensing images based on statistics of claim 5, wherein,
the extraction module (20) comprises:
the extracting unit is used for extracting the shadow base component by adopting an SMACC algorithm.
7. The system for the generalized shadow spectral reconstruction of remote sensing images based on statistics of claim 5, wherein,
the generalized shadow consistency spectral reconstruction equation R (λ, x, y) derived is:
Figure 560476DEST_PATH_IMAGE001
wherein the content of the first and second substances,
Figure 542338DEST_PATH_IMAGE017
representing picture elements
Figure 534434DEST_PATH_IMAGE003
After spectral reconstructionThe brightness of the radiation;
Figure 384578DEST_PATH_IMAGE004
representing an initial radiance;
Figure 896462DEST_PATH_IMAGE005
representing picture elements
Figure 799959DEST_PATH_IMAGE003
(ii) each band shadow component;
Figure 764504DEST_PATH_IMAGE006
representing the range radiation as a constant term;
shadow component of each band
Figure 418339DEST_PATH_IMAGE005
Comprises the following steps:
Figure 33997DEST_PATH_IMAGE007
wherein the content of the first and second substances,
Figure 357662DEST_PATH_IMAGE008
representing a shadow base component
Figure 822885DEST_PATH_IMAGE009
A scaling transformation function of (a);
Figure 14832DEST_PATH_IMAGE018
representing a transformation parameter;
Figure 235729DEST_PATH_IMAGE019
representing the curved surface translation factor after transformation;
the shadow base component
Figure 245142DEST_PATH_IMAGE012
Mapping to band-shadow components
Figure 184279DEST_PATH_IMAGE005
The mapping function used is:
Figure 179917DEST_PATH_IMAGE013
wherein the content of the first and second substances,
Figure 6053DEST_PATH_IMAGE008
representing a shadow base component
Figure 937100DEST_PATH_IMAGE009
A scaling transformation function of (a);
Figure 612800DEST_PATH_IMAGE014
representing a transformation parameter;
Figure 146550DEST_PATH_IMAGE020
represents a classical shadow region;
Figure DEST_PATH_IMAGE021
a classical non-shaded region is indicated.
8. The system for the generalized shadow spectral reconstruction of remote sensing images based on statistics of claim 5, wherein,
the reconstruction module (40) comprises:
an acquisition unit (41) for acquiring spectral parameters based on statistical equation estimation;
and the substituting unit (42) is used for substituting the acquired spectral parameters into the generalized shadow consistency spectral reconstruction equation to obtain a generalized shadow spectral reconstruction result of the remote sensing image to be subjected to spectral reconstruction.
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