A method for creating a two-component polarized radiation model for camouflaged targets

By introducing specular reflection and diffuse reflection coefficients, a modified geometric attenuation model was used to establish a binary component polarization radiation model that considers diffuse reflection and shading effects, solving the problem that the existing model cannot accurately describe the polarization characteristics of the camouflage target, and achieving higher accuracy infrared polarization calculation and camouflage target recognition.

CN115408848BActive Publication Date: 2025-08-29XIAN TECH UNIV
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Patent Information

Application Number
CN202211027869.6
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2022-08-25
Publication Date
2025-08-29
Estimated Expiration
2042-08-25

AI Technical Summary

Technical Problem

The existing Priest-Germer (P-G) model and Hyde model fail to effectively consider the influence of diffuse reflection and occlusion effects on the reflection characteristics of the camouflage target, and the Blinn occlusion function assumes that the angles of adjacent face elements are equal and does not match the actual situation, so it is impossible to accurately describe the polarization characteristics of the rough camouflage target.

Method used

Based on the P-G model, specular reflection and diffuse reflection coefficients are introduced, and the Minnaert diffuse reflection model and the modified geometric attenuation model are used to establish a binary component polarization radiation model. Taking into account the target roughness and diffuse reflection and occlusion effects, the different occlusion effects of adjacent surface elements are treated through the modified geometric attenuation model.

Benefits of technology

A more accurate binary component polarization radiation model was established, which improved the accuracy of infrared polarization calculation, provided more multi-dimensional information, supported the recognition of infrared camouflage targets, and improved the accuracy and breadth of recognition.

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Abstract

The present invention discloses a method for creating a two-component polarized radiation model for camouflaged targets, relating to the technical fields of remote sensing, space target detection, and identification. The method comprises: establishing a polarized bidirectional reflectance distribution function model of the target surface based on microfacet theory and the Muller matrix; establishing a two-component polarized radiation optimization model based on the geometric attenuation effect, taking into account specular reflection and diffuse reflection, using a modified geometric attenuation model based on the probability distribution of microfacet tilt angles and the geometric relationship of the microfacets on the target surface; and deriving a target infrared polarization degree calculation model based on the two-component polarized radiation optimization model and the Stokes matrix. The present invention uses a modified geometric attenuation model, based on specular reflection and diffuse reflection, to establish a two-component polarized radiation optimization model for the geometric attenuation effect of camouflaged targets, and derives a target infrared polarization degree calculation model, providing theoretical and technical support for military fields such as camouflage, counter-camouflage, and target identification.
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Description

Technical Field

[0001] The present invention relates to the technical field of remote sensing, space target detection and identification, and in particular to a two-component polarization radiation model for camouflaged targets. Background Art

[0002] Camouflaged targets have varying physical properties such as refractive index, reflectivity, and roughness. When coated with different coatings, the target surface exhibits distinct polarized light radiation characteristics, providing another important dimension of infrared camouflage information. One of the key issues in studying target polarization properties is polarization modeling. Currently, two main models address this issue: the Priest-Germer (PG) model and the Hyde model.

[0003] Disadvantages of existing solutions: The PG model does not consider the influence of diffuse reflection and shielding effects on reflection characteristics; the Blinn shielding function used in the Hyde model assumes that the angles between adjacent surface elements are equal, which is inconsistent with the actual relationship between adjacent surface elements on rough surfaces. It is urgent to consider the more realistic situation of rough camouflage targets and different shielding effects between adjacent surface elements and improve the model.

[0004] Therefore, based on these two types of classic models, a method is designed to design a two-component polarized radiation model in the infrared band, taking into account the target roughness and diffuse reflection effects, while adopting a dynamic angle control method to deal with the different shielding effects of adjacent elements, and establishing a more optimized two-component polarized radiation model. This is a problem that technical personnel in this field urgently need to further solve. Summary of the Invention

[0005] In view of this, the present invention is based on the PG model, introduces the specular reflection coefficient and the diffuse reflection coefficient for specular reflection and diffuse reflection, adopts the Minnaert diffuse reflection model and the modified geometric attenuation model, and establishes a two-component polarized radiation optimization model for camouflaged targets.

[0006] In order to achieve the above object, the present invention adopts the following technical solutions:

[0007] A method for creating a two-component polarized radiation model for a camouflaged target, comprising:

[0008] Step 1: Based on the microfacet theory and Muller matrix, a polarization bidirectional reflectance distribution function model of the target surface is established;

[0009] Step 2: Using the modified geometric attenuation model, taking into account specular reflection and diffuse reflection, a two-component polarized radiation optimization model for camouflaged targets is established;

[0010] Step 3: Based on the two-component polarization radiation optimization model and the Stokes matrix, the infrared polarization degree calculation model of the camouflaged target is derived.

[0011] Preferably, in step 1, establishing a polarized bidirectional reflectance distribution function model of the target surface specifically includes:

[0012] Based on the microfacet theory, the bidirectional reflectance distribution function is established:

[0013] Where θ i represents the angle between the incident direction and the normal of the target surface, represents the incident azimuth, θ r represents the angle between the reflection direction and the normal of the target surface, represents the observation azimuth, λ represents the wavelength incident on the target surface, σ represents the roughness of the target surface, and α represents the angle between the microfacet normal and the target surface normal. The angle α between the microfacet normal and the target surface normal is also called the tilt angle of the current microfacet.

[0014] Based on the bidirectional reflectance distribution function, the Muller matrix of specular reflection is integrated to establish the polarized bidirectional reflectance distribution function model of the target surface:

[0015] Where, The Muller matrix representing specular reflection.

[0016] Preferably, in step 2, a modified geometric attenuation model is used to consider specular reflection and diffuse reflection to establish a two-component polarized radiation optimization model for camouflaged targets, specifically including the following steps:

[0017] Based on the actual situation of the micro-facets on the target surface, the geometric attenuation model of the reflected light under the shadow effect and the geometric attenuation model of the reflected light under the shielding effect are obtained according to the dynamic control of the angle;

[0018] The minimum value between the geometric attenuation model of reflected light under the shadow effect and the geometric attenuation model of reflected light under the shielding effect is taken as the modified geometric attenuation model. The specific formula is as follows:

[0019] G opti (θ i ,θ r ,σ)=min(G s ,G m )

[0020] Among them, G s Represents the geometric attenuation model of reflected light under shadow effect, G m A geometric attenuation model representing the reflected light under the shadowing effect;

[0021] Using the modified geometric attenuation model, taking into account specular reflection and diffuse reflection, a two-component polarized radiation optimization model for camouflaged targets is established, and its expression is as follows:

[0022]

[0023] Where k s represents the reflection coefficient of the incident mirror, represents the diffuse reflection polarization model of the target surface, k d is the diffuse reflection coefficient, C is the undetermined coefficient range is (-1,0), represents the diffuse Muller matrix, where The remaining elements are 0.

[0024] Preferably, based on the actual situation of the micro-facets on the target surface, the geometric attenuation model of the reflected light under the shadow effect and the geometric attenuation model of the reflected light under the shielding effect are obtained according to the dynamic control of the angle, which specifically includes:

[0025] Get the probability distribution function P(α2) of the second microfacet tilt angle of the target surface,

[0026]

[0027] According to the probability distribution function of the second microfacet tilt angle of the target surface, the geometric attenuation model G of the current reflected light under the shadow effect is obtained respectively. s (θ i ,θ r ,σ) and the geometric attenuation model G of the current reflected light under the shielding effect m (θ i ,θ r ,σ),

[0028]

[0029]

[0030] Where α2 represents the tilt angle of the second microfacet on the target surface; α1 represents the tilt angle of the first microfacet adjacent to the second microfacet;

[0031] In step 3, based on the two-component polarization radiation optimization model and the Stokes matrix, the infrared polarization degree calculation model of the camouflaged target is derived, which specifically includes:

[0032] Optimization model F based on two-component polarized radiation (j,k) Get the hemispherical reflectivity of the target surface:

[0033]

[0034] According to the infrared polarization imaging principle, the Stokes vector incident on the infrared polarizer is the sum of the reflected radiation polarization vector and the spontaneous radiation vector.

[0035]

[0036] According to the hemispherical reflectivity expression of the target surface and the principle of infrared imaging, the infrared polarized radiation Stokes matrix can be obtained:

[0037]

[0038] Among them, R S and R p Represent the reflectivity of the vertical and horizontal components of the light wave, η i represents the rotation angle between the microfacet and the target incident surface when the scalar BRDF is polarized; η r Represents the rotation angle between the microfacet and the target reflective surface when polarizing the scalar BRDF;

[0039] S0 represents the total light intensity, S1 represents the difference between the horizontal and vertical linear polarization components, S2 represents the difference between the 45° and 135° linear polarization components, and S3 represents the difference between the left-handed and right-handed circular polarization components. Since the circular polarization component is usually small, S3 can be ignored.

[0040] The infrared polarization degree calculation model of the target is derived from the infrared polarization radiation Stokes matrix:

[0041] Where ω is the ambient radiation intensity I bg and spontaneous emission I e ratio.

[0042] The present invention discloses a method for creating a two-component polarized radiation model for camouflaged targets, which has the following beneficial effects:

[0043] This paper uses a modified geometric attenuation model, taking into account the diffuse reflection effect caused by the target's surface roughness, to establish a more optimized two-component polarized radiation model. This model then derives the target's infrared polarization degree model, achieving higher computational accuracy. Furthermore, the study of the polarized radiation characteristics of the linear polarization degree of camouflaged targets provides richer, multidimensional information for infrared camouflaged target identification, offering theoretical and technical support for military camouflage and counter-camouflage applications. This approach offers broad applications and greater accuracy in the fields of stealth, counter-stealth, and military camouflage. BRIEF DESCRIPTION OF THE DRAWINGS

[0044] In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the following briefly introduces the drawings required for use in the embodiments or the description of the prior art. Obviously, the drawings described below are only embodiments of the present invention. Those skilled in the art can also derive other drawings based on the provided drawings without inventive effort.

[0045] Figure 1 A schematic diagram of a method flow chart provided in an embodiment of the present invention;

[0046] Figure 2 A simplified structural diagram of a two-component polarized radiation optimization model for camouflaged targets provided by an embodiment of the present invention;

[0047] Figure 3 A schematic diagram of a microfacet model provided in an embodiment of the present invention;

[0048] Figure 4 A shadowing / shading model of a target coating provided by an embodiment of the present invention;

[0049] Figure 5 A comparison diagram of the modified geometric attenuation model and the Blinn model used in an embodiment of the present invention;

[0050] Figure 6 A comparison chart of the calculated and experimental data of the infrared polarization degree of black paint provided by an embodiment of the present invention;

[0051] Figure 7 A comparison chart of the numerical calculation of the infrared polarization degree of black paint and the semi-empirical linear polarization degree model provided by an embodiment of the present invention. DETAILED DESCRIPTION

[0052] The following will clearly and completely describe the technical solutions in the embodiments of the present invention in conjunction with the accompanying drawings. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of the embodiments. All other embodiments obtained by ordinary technicians in this field based on the embodiments of the present invention without making any creative efforts shall fall within the scope of protection of the present invention.

[0053] like Figure 1 、 Figure 2 、 Figure 3 As shown, an embodiment of the present invention discloses a method for creating a two-component polarized radiation model for a camouflaged target, comprising the following steps:

[0054] Step 1: Based on the microfacet theory and Muller matrix, a polarization bidirectional reflectance distribution function model of the target surface is established;

[0055] Step 2: Using the modified geometric attenuation model, taking into account specular reflection and diffuse reflection, a two-component polarized radiation optimization model for camouflaged targets is established;

[0056] Step 3: Based on the two-component polarization radiation optimization model and the Stokes matrix, the infrared polarization degree calculation model of the camouflaged target is derived;

[0057] In step 1, a polarized bidirectional reflectance distribution function model of the target surface is established to characterize the target polarized light reflection and radiation characteristics.

[0058] Specifically, firstly, a bidirectional reflectance distribution function (TS BRDF model) is established based on the microfacet theory, and the expression is:

[0059]

[0060] Where θ i represents the angle between the incident direction and the normal of the target surface, represents the incident azimuth, θ r represents the angle between the reflection direction and the normal of the target surface, represents the observation azimuth, λ represents the wavelength incident on the target surface, σ represents the roughness of the target surface, and α represents the angle between the microfacet normal and the target surface normal. The angle α between the microfacet normal and the target surface normal is also called the tilt angle of the current microfacet.

[0061] The expression for Jones polarization is as follows:

[0062]

[0063] Where β represents the angle between the incident direction and the normal of the microfacet, η i represents the rotation angle between the microfacet and the target incident surface when the scalar BRDF is polarized; η r Represents the rotation angle between the micro-facet and the target reflective surface when the scalar BRDF is polarized; and θ in the micro-facet i ,θ r , β satisfy the following relationship:

[0064]

[0065]

[0066] The relationship between the Jones and Muller matrix elements is as follows:

[0067]

[0068]

[0069]

[0070] Based on the bidirectional reflection distribution function, the Muller matrix of specular reflection is integrated to establish the polarized bidirectional reflection distribution function model of the target surface. That is, the Muller matrix is ​​combined with the TS BRDF model to obtain the polarized bidirectional reflection distribution function model of the target surface. The expression is as follows:

[0071]

[0072] Where, The Muller matrix representing specular reflection.

[0073] Step 2: Using the modified geometric attenuation model, taking into account specular reflection and diffuse reflection, a two-component polarized radiation optimization model for camouflaged targets is established;

[0074] When building a polarized bidirectional reflectance distribution function model for a target surface, the shielding function often uses the simplified Blinn model. This model assumes an isosceles V-shaped structure that does not conform to the actual surface characteristics and causes the pBRDF curve to have large amplitudes at high angles of incidence. Therefore, the present invention adopts a more realistic modified geometric attenuation model to establish a polarized radiation optimization model for camouflaged targets, as follows:

[0075] Based on the actual situation of micro-facets on the target surface, the modified geometric attenuation model assumes that there is a random triangular facet structure between adjacent facets. The geometric attenuation model of reflected light under shadow effect and the geometric attenuation model of reflected light under shielding effect are obtained according to the dynamic control of angle.

[0076] Since both shadow effect and shielding effect will attenuate the reflected light, the two are collectively referred to as the geometric attenuation model. Therefore, the minimum value between the geometric attenuation model of reflected light under shadow effect and the geometric attenuation model of reflected light under shielding effect is taken as the modified geometric attenuation model. The specific formula is as follows:

[0077] G opti (θ i ,θ r ,σ)=min(G s ,G m )

[0078] Among them, G s Represents the geometric attenuation model of reflected light under shadow effect, G m A geometric attenuation model representing the reflected light under the shadowing effect;

[0079] Specifically, such as Figure 4 As shown in FIG, the geometric attenuation model of reflected light under the shadow effect and the geometric attenuation model of reflected light under the shielding effect can be obtained by the following steps:

[0080] Get the probability distribution function P(α2) of the second microfacet tilt angle of the target surface,

[0081]

[0082] According to the probability distribution function of the second microfacet tilt angle of the target surface, the geometric attenuation model G of the current reflected light under the shadow effect is obtained respectively. s (θ i ,θ r ,σ) and the geometric attenuation model G of the current reflected light under the shielding effect m (θ i ,θ r ,σ), the formula is as follows:

[0083]

[0084]

[0085] Where α2 represents the tilt angle of the second microfacet on the target surface; α1 represents the tilt angle of the first microfacet adjacent to the second microfacet;

[0086] Adopting the modified geometric attenuation model, the specular reflection coefficient k is introduced s and diffuse reflectance k d , considering specular reflection and diffuse reflection, a two-component polarized radiation optimization model for camouflaged targets is established, and its expression is as follows:

[0087]

[0088] Where k s represents the reflection coefficient of the incident mirror, The diffuse reflection polarization model of the target surface is the Minnaert model, k d is the diffuse reflection coefficient, C is the undetermined coefficient range is (-1,0), represents the diffuse Muller matrix, where The remaining elements are 0.

[0089] According to microfacet theory, a series of tiny facets on the target surface follow the Fresnel reflection law. The interaction between light and matter includes specular reflection and diffuse reflection. When analyzing the factors affecting the target's polarization characteristics, both effects must be considered. Since the Minnaert model can effectively simulate the change of the target surface reflection coefficient with angle, the diffuse reflection polarization model adopts the Minnaert model:

[0090]

[0091] Step 3: Based on the two-component polarization radiation optimization model and the Stokes matrix, the infrared polarization degree calculation model of the camouflaged target is derived;

[0092] Since the polarization degree of the target's infrared radiation can be equivalent to the emissivity of polarized light, the target's radiation emissivity is related to the hemispherical reflectivity of the measured surface. The hemispherical reflectivity is the ratio of the reflected radiation flux on the hemisphere of the target surface to the incident radiation flux. The hemispherical reflectivity expression is:

[0093]

[0094] According to the two-component polarized radiation optimization model (pBRDF model) of geometric attenuation effect and the Stokes vector method, the transmission relationship between incident radiation and reflected radiation is as follows:

[0095]

[0096] The polarization characteristics of infrared radiation include spontaneous radiation and reflected radiation. According to the principle of infrared polarization imaging, the Stokes vector incident on the infrared polarizer is the reflected radiation polarization vector S r With the spontaneous emission vector S e The sum can be expressed as:

[0097]

[0098] Where: S i is the Stokes vector of the incident light, ε(λ,θ i ) represents the target spontaneous radiation rate, I e is the spontaneous radiation intensity of the coating, It is generally believed that the incident light in the infrared imaging system is natural light. i =[I bg 000] T , that is, S can be expressed as:

[0099]

[0100] According to the Stokes principle, S0 represents the total light intensity, S1 represents the difference between the horizontal and vertical linear polarization components, S2 represents the difference between the 45° and 135° linear polarization components, and S3 represents the difference between the left-handed and right-handed circular polarization components. Since the circular polarization component is usually small, S3 is usually negligible. Based on the hemispherical reflectivity expression and the principle of infrared imaging, the infrared polarized radiation Stokes matrix can be obtained:

[0101]

[0102] Among them, R S and R pRepresent the reflectivity of the vertical and horizontal components of the light wave, η i represents the rotation angle between the microfacet and the target incident surface when the scalar BRDF is polarized; η r Represents the rotation angle between the microfacet and the target reflective surface when polarizing the scalar BRDF;

[0103] The infrared polarization degree calculation model of the target is derived from the infrared polarization radiation Stokes matrix:

[0104] Where ω is the ambient radiation intensity I bg and spontaneous emission I e The ratio of the ambient radiation to the polarization characteristics of the coating surface is also called the ambient radiation ratio, which is used to express the influence of ambient radiation on the polarization characteristics of the coating surface:

[0105]

[0106] As can be seen from the above technical solution, this invention proposes a two-component infrared polarization radiation model for camouflaged targets. Its core is based on the PG model, introduces the specular reflectance coefficient and diffuse reflectance coefficient, and adopts a modified geometric attenuation model to establish a more optimized two-component polarization radiation model. This model also derives a calculation model for the target infrared polarization degree, which, compared with empirical models, is more realistic and more accurate.

[0107] Because the traditional PG model does not consider the influence of diffuse reflection and geometric attenuation effects, the rougher the surface of a camouflaged target, the more obvious the diffuse reflection and shielding effects are, and thus the more obvious the impact on the polarization and radiation characteristics of the target surface. In addition, traditional geometric attenuation models often use the Blinn simplified model, whose assumed isosceles V-shaped structure does not match the actual surface characteristics and has certain limitations. Based on this, the present invention uses the PG model as the basis, adopts a modified geometric attenuation model, considers the diffuse reflection effect, establishes a two-component polarized radiation optimization model for camouflaged targets, and derives the target's infrared polarization degree calculation model.

[0108] This embodiment discloses a two-component infrared polarization radiation model for camouflaged targets. This model simultaneously accounts for geometric attenuation and diffuse reflection effects. It can account for the influence of infrared polarization degree on the surface roughness, geometric attenuation, and diffuse reflection effects of camouflaged targets, and exhibits high accuracy and universality. The beneficial effects of the present invention are described in detail below, using two specific examples.

[0109] Example 1

[0110] like Figure 5According to the above theoretical analysis, the observation zenith angle is 60° and the surface roughness σ=0.3. In this embodiment, the observation zenith angle is the angle θ between the reflection direction and the normal line of the target surface. r , the modified geometric attenuation model used in the embodiment is compared with the Blinn simplified model. Figure 5 It can be seen that the Blinn model has sharp inflection points. This is caused by assuming that adjacent bins are in an isosceles V-shaped structure with opposite bin directions but the same tilt angle. This is inconsistent with the actual random and Gaussian distribution of bins. The geometric attenuation model used in this invention can effectively eliminate the sharp inflection points in the Blinn model ( Figure 5 The middle circle) ensures that the pBRDF curve does not have excessively large values ​​at large reflection angles, while taking into account the influence of surface roughness to make the model more realistic.

[0111] Example 2

[0112] The selected material is black paint, with a roughness of σ = 0.134 and an observation zenith angle of 60°. In this embodiment, the observation zenith angle is the angle θ between the reflection direction and the normal of the target surface. r , numerically calculate the variation of the linear polarization degree of black paint with the incident zenith angle. Figure 6 This is a comparison chart of the numerical calculation and experimental data of the infrared polarization degree of black paint. The experimental data and the numerical value are linearly fitted to obtain the following Figure 6 The purple fitting curve is shown in the figure. When the slope of the fitting curve is 1, it means that the two are highly consistent. Figure 6 The slope of the fitting curve is 0.9924, indicating that the model data of the present invention (such as Figure 6 The circle graph) and experimental data (such as Figure 6 The results show that the results of the model are in good agreement with those of the control group, which verifies the accuracy of the model of the present invention.

[0113] To further illustrate the accuracy of the model of the present invention, the numerical calculation results of the linear polarization degree of the black paint of the present invention are compared with the simulation experimental data of the modified semi-empirical infrared polarization degree model. Figure 7 It can be seen that the results of the present invention (such as Figure 7 The circled graph) and experimental data (such as Figure 7 The maximum error of the simulated experimental data (the scatter plots in the triangle) is 0.0134, while the maximum error of the simulated experimental data of the modified semi-empirical infrared polarization model is 0.0374. Furthermore, the root mean square error (RMSE) of the data in the present invention is 0.000522, while the RMSE of the modified semi-empirical infrared polarization model is 0.00147. Comparing the two sets of data shows that the maximum error and RMSE of the numerical calculation results of the present invention are both reduced by approximately 64.5%, effectively improving the calculation accuracy of the model.

[0114] The above is a detailed introduction to a two-component infrared polarization radiation model for camouflaged targets provided by the present invention. Specific examples are used in this article to illustrate the principles and implementation methods of the present invention. The description of the above embodiments is only used to help understand the method of the present invention and its core idea. At the same time, for those skilled in the art, according to the ideas of the present invention, there will be changes in the specific implementation methods and application scope. In summary, the content of this specification should not be understood as a limitation on the present invention.

[0115] The above description of the disclosed embodiments is intended to enable one skilled in the art to implement or use the present invention. Various modifications to these embodiments will be readily apparent to one skilled in the art, and the general principles defined herein may be implemented in other embodiments without departing from the spirit or scope of the present invention. Therefore, the present invention is not limited to the embodiments shown herein but is intended to conform to the widest scope consistent with the principles and novel features disclosed herein.

Claims

1. A method for creating a two-component polarized radiation model for a camouflaged target, characterized in that: include: Step 1: Based on the microfacet theory and Muller matrix, a polarized bidirectional reflectance distribution function model of the target surface is established; specifically, the following steps are involved: Based on the microfacet theory, the bidirectional reflectance distribution function is established: Where θ i represents the angle between the incident direction and the normal of the target surface, represents the incident azimuth, θ r represents the angle between the reflection direction and the normal of the target surface, represents the observation azimuth, λ represents the wavelength incident on the target surface, σ represents the roughness of the target surface, and α represents the angle between the microfacet normal and the target surface normal. The angle α between the microfacet normal and the target surface normal is also called the tilt angle of the current microfacet. Based on the bidirectional reflectance distribution function, the Muller matrix of specular reflection is integrated to establish the polarized bidirectional reflectance distribution function model of the target surface: Where, Muller matrix representing specular reflection; Step 2: Using a modified geometric attenuation model, taking into account both specular and diffuse reflections, a two-component polarized radiation optimization model for camouflaged targets is established. This specifically includes the following steps: Based on the actual situation of the micro-facets on the target surface, the geometric attenuation model of the reflected light under the shadow effect and the geometric attenuation model of the reflected light under the shielding effect are obtained according to the dynamic control of the angle; The minimum value between the geometric attenuation model of reflected light under the shadow effect and the geometric attenuation model of reflected light under the shielding effect is taken as the modified geometric attenuation model. The specific formula is as follows: G opti (i i ,i r ,σ)=min(G s ,G m ) Among them, G s Represents the geometric attenuation model of reflected light under shadow effect, G m A geometric attenuation model representing the reflected light under the shadowing effect; Using the modified geometric attenuation model and considering both specular and diffuse reflections, a two-component polarized radiation optimization model for camouflaged targets is established. Its expression is as follows: Where k s represents the reflection coefficient of the incident mirror, The diffuse reflection polarization model of the target surface is the Minnaert model, k d is the diffuse reflection coefficient, C is the undetermined coefficient range is (-1,0), represents the diffuse Muller matrix, where The remaining elements are 0; Step 3: Based on the two-component polarization radiation optimization model and the Stokes matrix, the infrared polarization degree calculation model of the camouflaged target is derived.

2. The method for creating a two-component polarized radiation model for a camouflaged target according to claim 1, characterized in that: Based on the actual situation of the micro-facets on the target surface, the geometric attenuation model of the reflected light under the shadow effect and the geometric attenuation model of the reflected light under the shielding effect are obtained according to the dynamic control of the angle, specifically including: Get the probability distribution function P(α2) of the second microfacet tilt angle of the target surface, According to the probability distribution function of the second microfacet tilt angle of the target surface, the geometric attenuation model G of the current reflected light under the shadow effect is obtained respectively. s (θ i ,θ r ,σ) and the geometric attenuation model G of the current reflected light under the shielding effect m (θ i ,θ r ,σ), Where α2 represents the inclination angle of the second microfacet on the target surface; α1 represents the inclination angle of the first microfacet adjacent to the second microfacet.

3. The method for creating a two-component polarized radiation model for a camouflaged target according to claim 2, characterized in that: In step 3, based on the two-component polarization radiation optimization model and the Stokes matrix, the infrared polarization degree calculation model of the camouflaged target is derived, which specifically includes: Optimization model F based on two-component polarized radiation (j,k) Get the hemispherical reflectivity of the target surface: According to the infrared polarization imaging principle, the Stokes vector incident on the infrared polarizer is the sum of the reflected radiation polarization vector and the spontaneous radiation vector. According to the hemispherical reflectivity expression of the target surface and the principle of infrared imaging, the infrared polarized radiation Stokes matrix can be obtained: Among them, R S and R p Represent the reflectivity of the vertical and horizontal components of the light wave, η i represents the rotation angle between the microfacet and the target incident surface when the scalar BRDF is polarized; η r Represents the rotation angle between the microfacet and the target reflective surface when polarizing the scalar BRDF; S0 represents the total light intensity, S1 represents the difference between the horizontal and vertical linear polarization components, S2 represents the difference between the 45° and 135° linear polarization components, and S3 represents the difference between the left-handed and right-handed circular polarization components. Since the circular polarization component is usually small, S3 can be ignored. The infrared polarization degree calculation model of the target is derived from the infrared polarization radiation Stokes matrix: Where ω is the ambient radiation intensity I bg and spontaneous emission I e ratio.

Citation Information

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