CN112836707B - ISAR image aerial target length feature extraction method - Google Patents

ISAR image aerial target length feature extraction method Download PDF

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CN112836707B
CN112836707B CN202110031079.4A CN202110031079A CN112836707B CN 112836707 B CN112836707 B CN 112836707B CN 202110031079 A CN202110031079 A CN 202110031079A CN 112836707 B CN112836707 B CN 112836707B
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王鹏辉
辛萌
邵帅
刘宏伟
丁军
陈渤
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Xidian University
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Abstract

The invention provides a method for extracting ISAR image aerial target length features, which can be used for radar aerial target identification. The method comprises the following implementation steps: 1) preprocessing an ISAR image; 2) obtaining a region of interest ROI image with the same position dimension and distance dimension resolution; 3) acquiring a binary image of an ROI (region of interest) image; 4) acquiring a binary image after the horizontal stripe noise of the binary image is suppressed; 5) and obtaining an extraction result of the length characteristics of the aerial target in the binary image. According to the method, smooth filtering is carried out on the ROI image of the region of interest by adopting a Gaussian filtering method, so that the target in the image is smooth, continuous and complete, the real shape information of the target can be well kept, and the accuracy of the ISAR image in-air target length feature extraction is effectively improved.

Description

ISAR image aerial target length feature extraction method
Technical Field
The invention belongs to the field of radar image processing, and relates to an ISAR image aerial target length feature extraction method, which can realize the extraction of aerial target length features and can be used for radar aerial target identification.
Background
Target identification is mainly divided into optical means and radar means. The optical means is a traditional detection means, the technology is mature, and the target is monitored mainly by the reflected light of the target, so that the optical means is greatly influenced by day and night and weather. Compared with an optical means, the radar means actively transmits electromagnetic waves to the space and utilizes received echoes to complete the monitoring of the target, so that the influence of day and night and weather environments can be effectively overcome, the radar has the characteristics of monitoring the target continuously all day long, all day long and 24 hours, and along with the development of radar technology, the radar can not only detect, track and position the target, but also realize high-resolution imaging of the target. Radar imaging techniques were proposed as early as the 50 s of the 20 th century, and can be classified according to the imaging principles: synthetic Aperture Radar (SAR) and Inverse Synthetic Aperture Radar (ISAR). The inverse synthetic aperture radar imaging is that the radar is kept still, two-dimensional imaging of moving targets such as airplanes, missiles, satellites and ships can be achieved by emitting broadband electromagnetic waves and utilizing relative motion of the targets and the radar to obtain ISAR images of the targets, detailed information such as the size, shape, structure and posture of the targets can be described through the two-dimensional ISAR images, and the attributes, categories or types of the targets can be distinguished by utilizing the information, so that powerful support is provided for radar target feature extraction and classification and recognition.
The overall dimension characteristics of the target, such as target length, area, contour and the like, have intuitiveness, resolution, easy extraction and definite physical significance, so the method is widely used for extracting the target characteristics of the ISAR image, wherein the length characteristics of the target are one of effective characteristics of target classification and identification, the accuracy of the target length characteristic extraction result is an important index for judging the target length characteristic extraction method, and the higher the accuracy is, the better the performance of the method is.
In the prior art, an ISAR image target length feature extraction method mainly aims at a ship target, extracts the ship target in an image by performing speckle noise suppression, cross-stripe interference suppression, morphological filtering and image segmentation operations on an ISAR image, and then extracts the length feature of the ship target by using a Principal Component Analysis (PCA) method. The method fills and connects ship targets in the image by using a morphological filtering method, improves the connectivity of the targets in the image, and enables the targets in the image to be continuous and complete.
Compared with ship targets, scattering points in the ISAR images of the aerial targets are more sparse and discrete, so when the method is used for extracting the length features of the aerial targets, the aerial targets in the images can be fully filled and connected only by adopting larger structural elements for morphological filtering, but the aerial targets in the images are excessively connected and filled due to the overlarge structural elements, the aerial targets in the images are distorted, and the accuracy of extracting the length features of the aerial targets in the ISAR images can be seriously influenced.
Disclosure of Invention
The invention aims to overcome the defects of the prior art and provides an ISAR image aerial target length feature extraction method which is used for solving the problem that the ISAR image aerial target length feature extraction result in the prior art is low in accuracy.
In order to achieve the purpose, the technical scheme adopted by the invention comprises the following steps:
(1) preprocessing an ISAR image:
(1a) obtaining an ISAR image A containing an aerial target with the size of m multiplied by n, wherein the resolution of a distance dimension corresponding to the row dimension of the A is PrThe resolution of the azimuth dimension corresponding to the column dimension is PaObtaining the amplitude image A' of A by taking the modulus value of the original complex data of A, wherein m is more than or equal to 100, and n is more than or equal to 100;
(1b) normalizing the amplitude image A ' of the A to obtain a gray image I with the pixel amplitude of 0-255, and extracting a region of interest ROI image I ' with the size of m ' × n ' in the image I, wherein m ' is more than or equal to 30 and less than or equal to m ', and n ' is more than or equal to 30 and less than or equal to n;
(2) obtaining a ROI image I with equal position dimension and distance dimension resolutionA
Calculating PaAnd PrRatio of
Figure BDA0002892105710000021
When k is more than or equal to 1, carrying out pixel interpolation operation on the ROI image I ' of the region of interest in the azimuth dimension, otherwise, carrying out pixel extraction operation on the ROI image I ' of the region of interest in the azimuth dimension to obtain the ROI image I of the region of interest with the equal azimuth dimension resolution and distance dimension resolution and with the size of m ' × nAWherein n ═ k × n'],[·]Represents a rounding operation;
(3) obtaining ROI image IABinary image I ofC
(3a) ROI image I of region of interest by Gaussian filtering methodACarrying out smooth filtering to obtain a filtered image IBAnd to IBBackup is carried out to obtain IBBackup image I ofB′;
(3b) For backup image IB' performing threshold segmentation to obtain a threshold-segmented binary image IBAAnd to IBABackup is carried out to obtain IBABackup image I ofBA′;
(3c) For backup image IBA' negation is performed and the filtered image I is masked with the negation result as a mask matrixBCarrying out masking operation to obtain a masked image IBB
(3d) To IBBPerforming threshold segmentation to obtain a threshold-segmented binary image IBCAnd for the binary image IBAAnd a binary image IBCPerforming logical OR operation to obtain ROI image IABinary image I ofC
(4) Obtaining a binary image ICBinary image I after horizontal stripe noise suppressionD
(4a) Initializing the iteration times as T, the maximum iteration times as T, T is more than or equal to 1, and obtaining a binary image ICThe binary image after the t-th horizontal stripe noise suppression is ID tAnd let t equal to 1, ID t=IC
(4b) Statistical binary image ID tThe pixel number of each row of the pixel with the pixel amplitude value of 1 is obtained, and a pixel number sequence N is obtained as { N ═ N1,n2,…,ni,…,nm′And judging whether the maximum value MAX and N' in N satisfy
Figure BDA0002892105710000031
If yes, executing step (4c), otherwise, executing step ID tAs a binary image ICBinary image I subjected to horizontal stripe noise suppressionDAnd output, wherein niRepresenting a binary image ID tThe number of pixels in the ith row having a pixel amplitude of 1;
(4c) carrying out first-order forward difference on the pixel number sequence N to obtain a first-order forward difference sequenceColumn Δ N ═ Δ N1,Δn2,…Δnd,…,Δnm′-1And according to the position d corresponding to the maximum value in the delta N1Position d corresponding to the minimum value2Determining a binary image ID tLine range d where middle horizontal stripe noise is located1+1~d2And the width W ═ d of the horizontal streak noise2-d1Wherein, Δ ndRepresenting the difference, Δ n, between the number of pixels of adjacent rows having a pixel amplitude of 1d=nd+1-nd,0<d1≤m′-1,0<d2≤m′;
(4d) Selecting a binary image ID tBinary image I with medium size of l × n ″CAAnd count of ICAThe number of pixels with the pixel amplitude of 1 in each row is obtained, and a pixel number sequence V ═ V is obtained1,V2,…Vj,…,Vn″Where l ═ l2-l1+1,l1And l2Respectively representing binary images ID tStarting and ending lines selected when selection is performed,/1=max(1,d1+1-W),l2=min(m′,d2+ W), max (,) indicates the maximum value, min (,) indicates the minimum value, VjRepresenting a binary image ICAThe number of pixels with the pixel amplitude value of 1 in the jth row of (1), j is more than 0 and less than or equal to n';
(4e) when V isjWhen the image is less than or equal to W, the binary image I is processedD tD (d) of1+1 line to d2The amplitude value of the jth column pixel in the row is set to be 0, otherwise, the binary image I is keptD tD (d) of1+1 line to d2The amplitude of the jth column pixel in the row is unchanged, and the binary image I after the t-th horizontal stripe noise suppression is obtainedD t
(4f) Judging whether T is greater than or equal to T, if so, obtaining a binary image ICBinary image I after horizontal stripe noise suppressionDAnd outputting, otherwise, making t equal to t +1, and executing the step (4 b);
(5) obtaining a binary image IDThe extraction result of the length characteristic of the aerial target in (1):
(5a) extracting a binary image IDObtaining the coordinate information of the pixel with the middle amplitude value of 1 to obtain a two-dimensional coordinate matrix
Figure BDA0002892105710000041
And carrying out zero equalization on the G to obtain a zero-equalized two-dimensional coordinate matrix
Figure BDA0002892105710000042
Then adopting Principal Component Analysis (PCA) to pair G0Linear transformation is carried out to obtain a two-dimensional coordinate matrix after linear transformation
Figure BDA0002892105710000043
Wherein (x)q,yq) Representing a binary image IDIs located at xqLine yqCoordinates of pixels of the column, (x)q′,yq') represents (x)q,yq) Zero-averaged coordinates, (xs)q,ysq) Represents (x)q′,yq') coordinates after linear transformation, h denotes the binary image IDTotal number of pixels of medium amplitude 1 [ ·]TRepresenting a transpose operation;
(5b) according to GSDetermining a line number q1 corresponding to the minimum value and a line number q2 corresponding to the maximum value of the 1 st column element in the binary image IDHead coordinates (x) of hollow targetq1,yq1) And tail coordinates (x)q2,yq2) And combining the distance dimension resolution P in the step (1)rCalculating a binary image IDLength of target in hollow:
Figure BDA0002892105710000051
compared with the prior art, the invention has the following advantages:
1. according to the method, the obtained ROI image of the region of interest with the equal position dimension and distance dimension resolution is subjected to smooth filtering by adopting a Gaussian filtering method, so that the smoothness, continuity and integrity of the hollow target in the image are improved, the real shape information of the hollow target can be well maintained, the shape of the hollow target in the binary image of the ROI image of the region of interest obtained by image segmentation is closer to the real shape of the hollow target, the problem that the hollow target in the image is distorted when the ROI image of the region of interest with the equal position dimension and distance dimension resolution is subjected to morphological filtering in the prior art is solved, and the extracted head coordinate and tail coordinate of the hollow target can be ensured to be more accurate. Simulation results show that compared with the prior art, the method effectively improves the accuracy of extracting the aerial target features of the ISAR images.
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FIG. 1 is a flow chart of an implementation of the present invention;
FIG. 2 is a magnitude image of an ISAR image used in an embodiment of the present invention;
FIG. 3 is an ROI image extracted in an embodiment of the present invention;
FIG. 4 is a ROI image with equal resolution in the azimuth dimension and the distance dimension acquired in the embodiment of the present invention;
FIG. 5 is an ROI image I of an embodiment of the present inventionAFiltered image I obtained by smoothing filteringB
FIG. 6 shows the pair I in the embodiment of the present inventionBBackup image I ofB' binary image I obtained by performing threshold segmentationBA
FIG. 7 shows a pair I in an embodiment of the present inventionBBPerforming threshold segmentation to obtain binary image IBC
FIG. 8 is a ROI image I obtained in an embodiment of the present inventionABinary image I ofC
FIG. 9 is a diagram of a binary image I according to an embodiment of the present inventionCBinary image I obtained by performing horizontal stripe noise suppressionD
Fig. 10 is a comparison graph of simulation results of the present invention and the prior art for the accuracy of extracting the target length feature in the air of the ISAR image used in the present embodiment.
Detailed Description
The invention is described in further detail below with reference to the figures and specific examples.
Referring to fig. 1, the present invention includes the steps of:
step 1) carrying out preprocessing on an ISAR image:
(1a) obtaining an ISAR image A containing an aerial target with the size of m multiplied by n, wherein the resolution of a distance dimension corresponding to the row dimension of the A is PrThe resolution of the azimuth dimension corresponding to the column dimension is PaThe original image data of the ISAR image A is complex data, complex information on each pixel is the expression of the reflectivity of a corresponding scattering point on an aerial target and a surrounding background, and the complex data is difficult to process and low in efficiency, so that a modulus value is taken for the original complex data of the ISAR image A to obtain an amplitude image A 'of the A, the data of the amplitude image A' is real data and is convenient for subsequent processing, wherein m is more than or equal to 100, and n is more than or equal to 100; in this example, the selected aerial target is an airplane target, that is, 1 ISAR image a of the airplane target in the external field test is selected, and the magnitude image a' of the ISAR image a is shown in fig. 2, and has a size of 512 × 256 and a distance dimension resolution Pr0.3000m, azimuth dimension resolution Pa=0.5390m;
(1b) Normalizing the amplitude image A' to obtain a gray level image I with the pixel amplitude of 0-255, wherein the normalization is performed according to the following formula:
Figure BDA0002892105710000061
wherein, a ' (x, y) is the amplitude value of the pixel in the x-th row and the y-th column in the amplitude image a ', I (x, y) is the amplitude value of the pixel in the x-th row and the y-th column in the grayscale image I obtained after normalization, and cmax is the maximum amplitude value of the pixel in the amplitude image a ';
compared with an optical image and an SAR image, the background and the target structure in the ISAR image are relatively single and simple, and the situations of complex texture of a target, disordered background and the like do not exist, so that the normally obtained gray level image I only consists of two regions, one region is a region consisting of pixel points on an airplane target, is called a foreground region of the gray level image I and is also called an airplane target region, the other region is a region consisting of pixel points on a non-airplane target, is called a background region of the gray level image I, the background region of the gray level image I is usually larger than the foreground region, if the gray level image I is processed, a large number of pixel points in the background region do not contribute to subsequent target length characteristic extraction and cause calculation efficiency reduction, therefore, a region of interest ROI image I' in the gray level image I needs to be extracted, the region of interest refers to an approximate minimum region containing a research target region in the processed image, the shape of the region can be rectangular, circular, elliptical, irregular polygon, etc., in this example, a rectangular region is selected, and can be directly used as an image for subsequent image processing, and the specific step of extracting the ROI image I ' with the size of m ' × n ' in the gray image I is as follows:
(1b1) calculating the sum of the amplitudes of all pixels in each row in the gray level image I to obtain a row pixel amplitude sum sequence RS [ RS ]1,rs2,…,rsx,…,rsm]And calculating the mean value rm of the elements in RS, wherein RSxThe sum of all pixel amplitudes of the x-th row representing the gray-scale image I;
(1b2) calculating each element RS in RSxDifference from rm gives the sequence R ═ R1,r2,…,rx,…rm]And the minimum value x of the positions corresponding to the elements larger than 0 in the R is determinedminAnd maximum value xmaxRespectively as the start and end lines of a region of interest of the gray image I, where rx=rsx-rm;
(1b3) Calculating the sum of the amplitudes of all pixels in each column in the gray-scale image I to obtain a column pixel amplitude sum sequence CS [ CS ]1,cs2,…,csx,…,csm]And calculating the mean value cm of elements in CS, wherein CSyThe sum of all pixel amplitudes of the y-th column representing the gray-scale image I;
(1b4) computing each element CS in the CSyDifference from cm gives the sequence C ═ C1,c2,…,cx,…cm]And the minimum value y of the positions corresponding to the elements larger than 0 in CminAnd maximum value ymaxRespectively as the start column and the end column of the region of interest of the gray image I, wherein cy=csy-cm;
(1b5) Will be the xth of the gray image IminGo to the xmaxLine, and yminColumn to ymaxThe rectangular area image formed by the columns and having a size of m '× n' is determined as the region of interest ROI image I 'of the gray image I, where m' ═ xmax-xmin,n′=ymax-ymin
In this example, the obtained ROI image I 'in the gray image I is shown in fig. 3, and the size of the ROI image I' is 230 × 180, and as can be seen from fig. 3, the ROI image is an image of an approximately smallest rectangular region containing the aircraft target, wherein the ROI image contains both the complete aircraft target region image and the background region as little as possible, and the computational complexity is reduced as much as possible without affecting the target feature extraction result.
Step 2) obtaining a ROI image I of the region of interest with equal position dimension and distance dimension resolutionA
Since the ISAR image A in step (1a) has a distance dimension resolution depending on the bandwidth of the measuring radar and an orientation dimension resolution depending on the rotation speed of the non-cooperative target, the ISAR image A has a problem that the distance dimension resolution is not equal to the orientation dimension resolution, since the distance dimension resolution of the ROI image of the region of interest is equal to the distance dimension resolution P of the ISAR image ArThe azimuth dimension resolution is equal to the azimuth dimension resolution P of the ISAR image AaTherefore, the ROI image of the region of interest also has the problem that the distance dimension resolution and the azimuth dimension resolution are not equal, when the ROI image I of the region of interestAWhen the azimuth dimension resolution is not equal to the distance dimension resolution, the head coordinate and the tail coordinate of the aerial target obtained subsequently have a large deviation from the real head coordinate and the real tail coordinate, so that a large error exists in the result of the length feature extraction of the aerial target, and therefore an image with the azimuth dimension resolution equal to the distance dimension resolution needs to be obtained. Distance dimension of ISAR image obtained when same radar system images aerial targetThe resolutions are equal, the azimuth dimension resolutions are usually different from each other, so that the image with the azimuth dimension and the distance dimension resolutions equal is obtained by adjusting the azimuth dimension resolution to be equal to the distance dimension resolution, and the specific acquisition step is as follows: calculating the azimuthal dimension resolution PaResolution in the dimension of distance PrRatio of
Figure BDA0002892105710000081
When k is larger than or equal to 1, adopting a nearest neighbor interpolation method to carry out pixel interpolation operation on the ROI image I ' of the region of interest in an azimuth dimension to enable the resolution of the azimuth dimension to be equal to the resolution of a distance dimension, otherwise, adopting the nearest neighbor interpolation method to carry out pixel extraction operation on the ROI image I ' of the region of interest in the azimuth dimension to enable the resolution of the azimuth dimension to be equal to the resolution of the distance dimension, and obtaining the ROI image I of the region of interest with the equal resolution of the azimuth dimension and the resolution of the distance dimension and with the size of m ' × nAWherein n ═ k × n'],[·]Represents a rounding operation; the distance dimensional resolution of the region of interest ROI image in this example is equal to the distance dimensional resolution P of the original ISAR image ArThe azimuth dimension resolution is equal to the azimuth dimension resolution P of the original ISAR image Aa. The common interpolation method comprises a nearest neighbor interpolation method, a bilinear interpolation method and a bicubic interpolation method, the common extraction method comprises the nearest neighbor interpolation method, the bilinear interpolation method or the bicubic interpolation method, the nearest neighbor interpolation method is small in calculation amount and easy to achieve, the nearest neighbor interpolation method is used for conducting pixel interpolation operation on the ROI image of the region of interest in the azimuth dimension, and the nearest neighbor interpolation method is also used for conducting pixel extraction operation on the ROI image of the region of interest in the azimuth dimension. In this example, the azimuthal dimension resolution P is calculatedaResolution in the dimension of distance PrRatio of
Figure BDA0002892105710000091
Therefore, the nearest neighbor interpolation method is adopted to carry out pixel interpolation operation on the ROI image I' in the azimuth dimension to obtain the ROI image I with equal resolution of the azimuth dimension and the distance dimensionAAs shown in FIG. 4, IAHas a size of 230 × 230, and has an azimuth dimension resolution and a distance dimension resolution of 0.3000m。
Step 3) obtaining ROI image IABinary image I ofC
Since the length feature extraction of the aerial target is based on the ROI image IAThe method is realized by the characteristics of a foreground region, namely an aerial target, so that firstly, the target in the ISAR image needs to be extracted from the background, namely, the image is segmented, and the segmentation effect directly determines the accuracy of feature extraction, so that the image segmentation is a key step in the feature extraction, and particularly, an ROI image I of a region of interest is obtainedABinary image I ofCComprises the following steps:
(3a) ROI image I of region of interest by Gaussian filtering methodACarrying out smooth filtering, wherein the size of a window of Gaussian filtering is 5 multiplied by 5-9 multiplied by 9, and obtaining a filtered image IBAnd to IBBackup is carried out to obtain IBBackup image I ofB′;
Due to the fluctuation characteristic of the amplitude of the target echo, the targets in the obtained ISAR image are distributed in sparse, discrete and isolated scattering points, and the ROI image I of the region of interestAThe same property is also exhibited by the image in (1), as shown in FIG. 4AThe scattering points of the target in (1) are sparse, discrete and isolated, which often results in the failure to match IAPerforming effective division if directly to IAAnd (3) performing image segmentation, wherein the edge contour of the target in the obtained binary image is neither complete nor continuous, so that the head and tail coordinates of the subsequently obtained target have large errors, and the accuracy of the ISAR image aerial target length feature extraction is seriously influenced. Therefore, before image segmentation, ROI image I is neededAThe target areas in the image are connected and filled, so that the connectivity of the target in the image is improved, and the target is smooth, continuous and complete.
A commonly used method for image filling, connecting and deleting is morphological filtering, and although this method can connect and fill a target region in an image, since scattering points in ISAR images of airborne targets such as ship targets and airplanes are more sparse and discrete than scattering points in the images, a region-of-interest ROI image I is obtainedAImage of (1)Also presents the same property, adopts a morphological filtering method to IAWhen filling and connecting the aerial targets in the middle, the I can be filled and connected by adopting larger structural elementsAThe aerial target in (1) achieves sufficient filling and connection, but the I can be caused by overlarge structural elementsAThe aerial target in the ISAR image is excessively connected and filled, the edge of the aerial target is enlarged, the aerial target in the image is distorted, and the accuracy of the length feature extraction of the aerial target in the ISAR image is seriously influenced. Aiming at the defects of morphological filtering, the method provides a Gaussian filtering method for a region of interest ROI image IAAnd performing smooth filtering.
The Gaussian filter is a linear smoothing filter, is suitable for eliminating Gaussian noise, is most widely applied to the field of image processing and is used for optical image denoising, generally, the noise is randomly distributed in an optical image, the amplitude of a noise point is far deviated from the average value of pixel amplitudes in a neighborhood, namely, the amplitude of the noise point is mutated relative to the pixel amplitude in the neighborhood, so that the weighted average of the pixel amplitudes in the neighborhood is used for replacing the amplitude of the noise point, the pixel amplitude mutation is inhibited, the amplitude of the noise point is made to obey the statistical characteristics of pixel points in the neighborhood, and the optical image denoising is realized. However, compared with the optical image, the ISAR image usually shows a sparse and isolated scattering center distribution form, the missing pixels on the target in the ISAR image, i.e. the pixels with smaller amplitudes on the target, are essentially scattering points with weaker echoes on the target, usually the amplitudes of the missing pixels on the target are obviously smaller than the amplitudes of the pixels in the neighborhood, i.e. the amplitudes of the pixels in the neighborhood are mutated, so that the missing pixels on the target in the ISAR image have the same characteristics as the noise in the optical image, and thus the missing pixels on the target in the ISAR image can be regarded as "noise", the "noise" in the image is suppressed by performing smooth filtering on the ISAR image, and essentially the missing pixels on the target are filled by using the weighted average amplitudes of the pixels in the neighborhood to improve the amplitudes of the missing pixels on the target so as to make the missing pixels obey the statistical characteristics of the pixels in the neighborhood, smoothing, continuing and completing the target in the image; and because of the Gaussian filtering tool in the smooth filteringThe method has smoothing effect and can better retain the edge and shape information of the target, so that the method provides a Gaussian filtering method for the ROI image IAThe smooth filtering is carried out, so that the aerial target in the image is more complete, the boundary is clear and continuous, the real edge and shape information of the aerial target can be better kept, the problem of aerial target distortion caused by a morphological filtering method is solved, the shape of the aerial target in the binary image of the ROI image of the region of interest obtained by image segmentation is closer to the real shape of the aerial target, and the extraction result of the aerial target length feature is more accurate.
The window size of the gaussian filter is selected by noting that: the smaller the window is, the worse the connecting and filling effects on the target in the image are, the larger the filtering template is, the worse the edge retaining effect on the target in the image is, and the blurriness of the target boundary is, so the window size of the Gaussian filtering is generally 5 × 5-9 × 9, the window size of the Gaussian filtering in the example is 7 × 7, the standard deviation is 20, and the obtained filtered image IBAs shown in FIG. 5, it can be seen that compared to image I before filteringA,IBThe target of the airplane is smoother, continuous and complete, and meanwhile, the real shape information of the aerial target is well kept;
(3b) to IBBackup image I ofB' threshold segmentation is performed by using the OSTU method, the segmentation threshold is T1, and I is subjected to threshold T1B' binarization is carried out to obtain a binary image IBAAnd to IBABackup is carried out to obtain IBABackup image I ofBA', the binary image I obtained in this exampleBAAs shown in fig. 6.
Referring to fig. 6, a set of pixel points with an amplitude of 1 in the binary image is referred to as a foreground region of the binary image, and a set of pixel points with an amplitude of 0 is referred to as a background region, where a segmented binary image IBAThe foreground region only contains partial pixel points on the airplane target, namely an image IBThe aircraft object in' is not completely segmented because of the region of interest ROI image I obtained in step 2)AMiddle aircraft orderThere are marked cases where the amplitude of a few strong scattering points AH is much greater than the mean of the amplitudes of all scattering points IAIs mean filtered in the filtered image IB′(IB) Forming a region with larger pixel amplitude on the aircraft target, namely a region with strong amplitude I on the aircraft targetB1′(IB1) I.e. picture IB′(IB) Region of medium pixel amplitude greater than or equal to T1, IB′(IB) Removing IB1′(IB1) Region I outsideB2′(IB2) Is less than T1, and IB2′(IB2) Is composed of two parts, one part is IB′(IB) On-target intensity-removal amplitude region I of aircraft in (1)B1′(IB1) Regions outside, called weak amplitude regions I on the aircraft targetB21′(IB21) And the other part is IB′(IB) In a background area I other than aircraft targetsB22′(IB22) I.e. IB′=IB1′+IB2′=IB1′+IB21′+IB22′,IB=IB1+IB2=IB1+IB21+IB22Albeit with IB' Weak amplitude region I on aircraft targetB21' Pixel amplitude greater than IB' background region IB22' pixel amplitude, but due to IB21' the pixel amplitude is still less than the threshold T1, so IB' Weak amplitude region I on aircraft targetB21' and background region IB22' is divided into binary images IBABackground area of (1) onlyB' Strong amplitude region I on aircraft targetB21' is divided into binary images IBASo that the segmented binary image IBAContains only the image IB' the pixels in the region of strong amplitude on the aircraft target do not contain the pixels in the region of strong amplitude on the aircraft target, i.e. image IB' the aircraft object is not completely segmented into binary images IBAThe foreground region of (1);
(3c) for backup image IBA' negation is performed and the result of the negation is used as a mask matrix for the blurred image IBPerforming masking operation to obtain masked image
Figure BDA0002892105710000121
IBThe non-zero region in (1) corresponds to IBIn (1)B2An area;
(3d) to IBBPerforming threshold segmentation by using an OSTU method to obtain a segmentation threshold T2, and performing I pair by using T2BBCarrying out binarization to obtain a binary image IBCBinary image I obtained in this exampleBCAs shown in FIG. 7, due to IBBThe non-zero region in (1) corresponds to IBIn (1)B2Region, and IBIn (1)B2The region is composed of two parts, one part is IBIn the region of weak amplitude I on the aircraft targetB21,IB21Is greater than or equal to T2, and the other part is IBIn a background area I other than aircraft targetsB22,IB22Is less than T2, so IBBIn the non-zero region of (1) corresponds to IBIn the region of weak amplitude I on the aircraft targetB21Region is divided into binary images IBCForeground region of (1), IBBIs divided into a binary image IBCBackground region of (1), i.e. binary image IBCContains IBIn the region of weak amplitude I on the aircraft targetB21The pixel point of (2);
subjecting the I obtained in step (3b)B' thresholded binary image IBAAnd IBBThreshold-segmented binary image IBCPerforming logical OR operation to obtain ROI image IABinary image I ofC(ii) a Essentially, a binary image IBAForeground region and binary image IBCAs a binary image ICForeground region of (1), binary image IBAContains an image IB' Strong amplitude region I on aircraft targetB1' since IB' is aBA backup image of (2), then IB′=IBThen, the binary image IBAContains an image IBIn the region of strong amplitude I on the aircraft targetB1Pixel point of (2), binary image IBCContains IBIn the region of weak amplitude I on the aircraft targetB21Pixel point of (2) thenB1And IB21Is the union set of IBAll the pixels on the aircraft target in (1), then the binary image ICContains IBThe method realizes the complete and effective extraction of the airplane target by all pixels on the airplane target, and the ROI image I obtained by the exampleABinary image I ofCAs shown in FIG. 8, it can be seen that the aircraft target is extracted more completely, and the binary image I of FIG. 8CThe horizontal stripe noise is contained in the signal.
Step 4) obtaining a binary image ICBinary image I after horizontal stripe noise suppressionD
Horizontal stripe noise in binary image ICThe middle is mainly represented as a set of 'bright spots' (pixel points with amplitude of 1) with a certain length, and usually, the horizontal stripe noise only appears near a target area. The main causes of the horizontal streak noise are the following, 1) the influence of side lobes of strong scattering points on the target; 2) caused by self-focusing errors; 3) there are rotating parts in the target. In a generic image, most of the cross-fringe noise is mainly caused by the side-lobe of the two-dimensional spread function of the strong scattering points on the object. The horizontal stripe noise seriously affects the quality of the image and seriously affects the extraction of the target length feature, so that the horizontal stripe noise suppression is required before the feature extraction. The specific steps of horizontal stripe noise suppression are as follows:
(4a) the initialization iteration number is T, the maximum iteration number is T, T is more than or equal to 1, in the example, T is 4, and the binary image ICThe binary image after the t-th horizontal stripe noise suppression is ID tAnd let t equal to 1, ID t=IC
(4b) Statistical binary image ID tIn each row of pixel framesThe number of pixels with a value of 1 is obtained, and a pixel number sequence N is obtained as { N }1,n2,…,ni,…,nm′And judging whether the maximum value MAX and N' in N satisfy
Figure BDA0002892105710000131
Wherein n isiRepresenting the number of pixels with the pixel amplitude value of 1 in the ith row, if so, representing a binary image ID tIf there is horizontal stripe noise, executing step (4c), otherwise, representing the binary image ID tIf there is no horizontal stripe noise, then ID tAs for binary image IC tBinary image I obtained by performing horizontal stripe noise suppressionDOutputting and ending the program;
(4c) carrying out first-order forward difference on the pixel number sequence N to obtain a first-order forward difference sequence delta N ═ delta N1,Δn2,…,Δnd,…,Δnm′-1Calculating the position d corresponding to the maximum value in the delta N1,d1Representing a binary image ID tD in (d)1The number of pixels having a pixel amplitude of 1 in the +1 row is increased most than that in the previous row, i.e., the d-th row1+1 line corresponds to the binary image ID tThe position d corresponding to the minimum value in Δ N is calculated as the start line of the horizontal streak noise in (1)2,d2Representing a binary image ID tD in (d)2The number of pixels having a pixel amplitude of 1 in the +1 row is reduced most than that in the previous row, i.e., the d-th row2The lines corresponding to a binary image ID tThereby determining a binary image ID tLine range d where middle horizontal stripe noise is located1+1~d2And the width of the horizontal stripe noise, which is the number of lines occupied by the horizontal stripe noise, is W ═ d2-d1Wherein, Δ ndRepresenting the difference, Δ n, between the number of pixels of adjacent rows having a pixel amplitude of 1d=nd+1-nd,0<d1≤m′-1,0<d2≤m′;
(4d) Selecting a binary image ID tMiddle and largeBinary image I as small as l x n ″CAAnd to ICAPerforming convolution operation with all 1 convolution kernels h with the size of l multiplied by 1 to obtain a convolution result sequence V ═ V1,V2,…,Vj,…,Vn", wherein l ═ l2-l1+1,l1And l2Respectively representing binary images ID tStarting and ending lines selected when selection is performed,/1=max(1,d1+1-W),l2=min(m′,d2+ W), max (,) indicates the maximum value, min (,) indicates the minimum value, VjIs represented byCAThe convolution result of the jth column of (a) and h, j is more than 0 and less than or equal to n';
(4e) when V isjWhen the image is less than or equal to W, the binary image I is processedD tD (d) of1+1 line to d2The amplitude value of the jth column pixel in the row is set to be 0, otherwise, the binary image I is keptD tD (d) of1+1 line to d2The amplitude of the jth column pixel in the row is unchanged, and the binary image I after the t-th horizontal stripe noise suppression is obtainedD t
(4f) Judging whether T is greater than or equal to T, if so, obtaining a binary image ICBinary image I after horizontal stripe noise suppressionDAnd outputting, otherwise, making t equal to t +1, and executing the step (4 b);
this example is for a binary image ICBinary image I obtained by performing horizontal stripe noise suppressionDAs shown in fig. 9, it can be seen that the horizontal streak noise is effectively suppressed.
Step 5) obtaining a binary image IDThe extraction result of the aircraft target length features in (1):
(5a) extracting a binary image IDObtaining the coordinate information of the pixel with the middle amplitude value of 1 to obtain a two-dimensional coordinate matrix
Figure BDA0002892105710000151
Carrying out zero equalization on the two-dimensional coordinate matrix G to obtain a zero-equalized two-dimensional coordinate matrix
Figure BDA0002892105710000152
Calculation of G0Is G0 TG0Performing characteristic decomposition on S to obtain a characteristic value lambda of S1And λ2And λ1>λ2Corresponding feature vector is v1And v2Then v is1Direction vector of principal component, v2As the direction vector of the sub-component, let the transformation matrix W be [ v [ ]1 v2]W is also called projection matrix, and is a two-dimensional coordinate matrix G which is equalized to zero by PCA (principal component analysis)0Performing linear transformation by using the transformation matrix W to obtain a two-dimensional coordinate matrix after linear transformation
Figure BDA0002892105710000153
Wherein (x)q,yq) Representing a binary image IDIs located at xqLine yqCoordinates of pixels of the column, (x)q′,yq') is (x)q,yq) Zero-averaged coordinates, (xs)q,ysq) Represents (x)q′,yq') coordinates after linear transformation, xsqIs G0Pixel (x) of (2)q′,yq') projection coordinates on the principal component, ysqIs G0Pixel (x) of (2)q′,yq') projection coordinates on the subcomponents, h denotes a binary image IDTotal number of pixels of medium amplitude 1 [ ·]TRepresenting a transpose operation;
(5b) according to GSDetermining a line number q1 corresponding to the minimum value and a line number q2 corresponding to the maximum value of the 1 st column element in the binary image IDHead coordinates (x) of middle aircraft targetq1,yq1) And tail coordinates (x)q2,yq2) The length of a connecting line between the head and the tail of the airplane target is the length of the airplane target, and the distance dimension resolution ratio P in the step (1) is combinedrCalculating a binary image IDLength of medium aircraft target:
Figure BDA0002892105710000154
the length feature extraction result of the airplane target obtained in this example is shown in fig. 10 (a), in which the head coordinate of the airplane target is (x)q1,yq1) Tail coordinate (x) 26,204q2,yq2)=(195,27),Pr0.3000m, the length of the aircraft target
Figure BDA0002892105710000155
The X coordinate in the image represents the column where the pixel is located, and corresponds to the second dimensional coordinate Y in the two-dimensional coordinate matrix G, and the Y coordinate in the image represents the row where the pixel is located, and corresponds to the first dimensional coordinate X in the two-dimensional coordinate matrix G.
The technical effects of the present invention will be further described with reference to simulation experiments.
1. Simulation conditions and contents:
the simulation is carried out on a Windows10 system with a CPU of Intel (R) core (TM) i7-10700F 2.90GHz and a memory of 32G, and the software platform of the used simulation experiment is MATLAB R2019 a. The data used in this experiment were: in the example, 1 ISAR image of the external field test aerial aircraft target is shown in fig. 2, the size of the amplitude image is 512 × 256, the distance dimension resolution is 0.3000m, the azimuth dimension resolution is 0.5390m, and 50 ISAR images of the external field test aerial aircraft target are 512 × 256, the distance dimension resolutions are 0.3000m, and the azimuth dimension resolutions are different.
The extraction results and the extraction accuracy of the method for extracting the target length features of the ISAR image are compared with those of the conventional method for extracting the target length features of the ISAR image, and the results are respectively shown in FIG. 10 and Table 1.
2. And (3) simulation result analysis:
TABLE 1
Figure BDA0002892105710000161
Referring to fig. 10, (a) in fig. 10 is a result of extracting an ISAR image aerial target length feature used in the present embodiment according to the present invention, and (b) in fig. 10 is a result of extracting an ISAR image aerial target length feature used in the present embodiment according to the prior artThe length feature extraction result of the aerial target of the ISAR image can be obtained from (a) in FIG. 10, the head coordinate of the aircraft target obtained by the invention is (26,204), the tail coordinate is (195,27), and the length is
Figure BDA0002892105710000162
As can be seen from fig. 10 (b), the aircraft object obtained in the prior art has a head coordinate of (26,211), a tail coordinate of (206,30), and a length of (d)
Figure BDA0002892105710000163
The real length of the airplane target in the ISAR image adopted in this embodiment is 73.7300m, and for the ISAR image adopted in this embodiment, the error of the length feature of the aerial target extracted by the present invention is 0.42%, and the error of the length feature of the aerial target extracted by the prior art is 3.87%.
Referring to table 1, table 1 shows the average extraction accuracy of the aircraft target length feature extraction results of 50 ISAR images, and as can be seen from table 1, the accuracy of the aircraft target length feature extraction result extracted by the method is improved by 4.63% compared with that of the existing method.
In conclusion, the extraction result of the aerial target length feature of the ISAR image of the actually measured data of the external field experiment proves that compared with the existing extraction method of the aerial target length feature of the ISAR image, the extraction result of the method is higher in precision, and the method has important practical significance.
The foregoing description is only an example of the present invention and should not be construed as limiting the invention in any way, and it will be apparent to those skilled in the art that various changes and modifications in form and detail may be made therein without departing from the principles and arrangements of the invention, but such changes and modifications are within the scope of the invention as defined by the appended claims.

Claims (5)

1. An ISAR image aerial target length feature extraction method is characterized by comprising the following steps:
(1) preprocessing an ISAR image:
(1a) obtaining an ISAR image A containing an aerial target with the size of m multiplied by n, wherein the resolution of a distance dimension corresponding to the row dimension of the A is PrThe resolution of the azimuth dimension corresponding to the column dimension is PaObtaining the amplitude image A' of A by taking the modulus value of the original complex data of A, wherein m is more than or equal to 100, and n is more than or equal to 100;
(1b) normalizing the amplitude image A ' of the A to obtain a gray image I with the pixel amplitude of 0-255, and extracting a region of interest ROI image I ' with the size of m ' × n ' in the image I, wherein m ' is more than or equal to 30 and less than or equal to m ', and n ' is more than or equal to 30 and less than or equal to n;
(2) obtaining a ROI image I with equal position dimension and distance dimension resolutionA
Calculating PaAnd PrRatio of
Figure FDA0003404863640000011
When k is more than or equal to 1, carrying out pixel interpolation operation on the ROI image I ' of the region of interest in the azimuth dimension, otherwise, carrying out pixel extraction operation on the ROI image I ' of the region of interest in the azimuth dimension to obtain the ROI image I of the region of interest with the equal azimuth dimension resolution and distance dimension resolution and with the size of m ' × nAWherein n ═ k × n'],[·]Represents a rounding operation;
(3) obtaining ROI image IABinary image I ofC
(3a) ROI image I of region of interest by Gaussian filtering methodACarrying out smooth filtering to obtain a filtered image IBAnd to IBBackup is carried out to obtain IBBackup image of I'B
(3b) To backup image I'BPerforming threshold segmentation to obtain a threshold-segmented binary image IBAAnd to IBABackup is carried out to obtain IBABackup image I ofBA′;
(3c) For backup image IBA' negation is performed and the filtered image I is masked with the negation result as a mask matrixBCarrying out masking operation to obtain a masked image IBB
(3d) To IBBPerforming threshold segmentation to obtain a threshold-segmented binary image IBCAnd for the binary image IBAAnd a binary image IBCPerforming logical OR operation to obtain ROI image IABinary image I ofC
(4) Obtaining a binary image ICBinary image I after horizontal stripe noise suppressionD
(4a) Initializing the iteration times as T, the maximum iteration times as T, T is more than or equal to 1, and obtaining a binary image ICThe binary image after the t-th horizontal stripe noise suppression is ID tAnd let t equal to 1, ID t=IC
(4b) Statistical binary image ID tThe pixel number of each row of the pixel with the pixel amplitude value of 1 is obtained, and a pixel number sequence N is obtained as { N ═ N1,n2,…,ni,…,nm′And judging whether the maximum value MAX and N' in N satisfy
Figure FDA0003404863640000021
If yes, executing step (4c), otherwise, executing step ID tAs a binary image ICBinary image I subjected to horizontal stripe noise suppressionDAnd output, wherein niRepresenting a binary image ID tThe number of pixels in the ith row having a pixel amplitude of 1;
(4c) carrying out first-order forward difference on the pixel number sequence N to obtain a first-order forward difference sequence delta N ═ delta N1,Δn2,…Δnd,…,Δnm′-1And according to the position d corresponding to the maximum value in the delta N1Position d corresponding to the minimum value2Determining a binary image ID tLine range d where middle horizontal stripe noise is located1+1~d2And the width W ═ d of the horizontal streak noise2-d1Wherein, Δ ndRepresenting the difference, Δ n, between the number of pixels of adjacent rows having a pixel amplitude of 1d=nd+1-nd,0<d1≤m′-1,0<d2≤m′;
(4d) Selecting a binary image ID tBinary image I with medium size of L multiplied by n ″CAAnd count of ICAThe number of pixels with the pixel amplitude of 1 in each row is obtained, and a pixel number sequence V ═ V is obtained1,V2,…Vj,…,Vn″Wherein L ═ L2-L1+1,L1And L2Respectively representing binary images ID tThe starting and ending lines selected during selection, L1=max(1,d1+1-W),L2=min(m′,d2+ W), max (,) indicates the maximum value, min (,) indicates the minimum value, VjRepresenting a binary image ICAThe number of pixels with the pixel amplitude value of 1 in the jth row of (1), j is more than 0 and less than or equal to n';
(4e) when V isjWhen the image is less than or equal to W, the binary image is processed
Figure FDA0003404863640000022
D (d) of1+1 line to d2The amplitude value of the jth column pixel in the row is set to be 0, otherwise, the binary image is kept
Figure FDA0003404863640000035
D (d) of1+1 line to d2The amplitude of the jth column pixel in the row is unchanged, and the binary image after the t-th horizontal stripe noise suppression is obtained
Figure FDA0003404863640000036
(4f) Judging whether T is greater than or equal to T, if so, obtaining a binary image ICBinary image I after horizontal stripe noise suppressionDAnd outputting, otherwise, making t equal to t +1, and executing the step (4 b);
(5) obtaining a binary image IDThe extraction result of the length characteristic of the aerial target in (1):
(5a) extracting a binary image IDObtaining the coordinate information of the pixel with the middle amplitude value of 1 to obtain a two-dimensional coordinate matrix
Figure FDA0003404863640000031
And carrying out zero equalization on the G to obtain a zero-equalized two-dimensional coordinate matrix
Figure FDA0003404863640000032
Then adopting Principal Component Analysis (PCA) to pair G0Linear transformation is carried out to obtain a two-dimensional coordinate matrix after linear transformation
Figure FDA0003404863640000033
Wherein (x)q,yq) Representing a binary image IDIs located at xqLine yqCoordinates of pixels of the column, (x)q′,yq') represents (x)q,yq) Zero-averaged coordinates, (xs)q,ysq) Represents (x)q′,yq') coordinates after linear transformation, h denotes the binary image IDTotal number of pixels of medium amplitude 1 [ ·]TRepresenting a transpose operation;
(5b) according to GSDetermining a line number q1 corresponding to the minimum value and a line number q2 corresponding to the maximum value of the 1 st column element in the binary image IDHead coordinates (x) of hollow targetq1,yq1) And tail coordinates (x)q2,yq2) And combining the distance dimension resolution P in the step (1)rCalculating a binary image IDLength of target in hollow:
Figure FDA0003404863640000034
2. the method for extracting the aerial target length feature of the ISAR image according to claim 1, wherein the ROI image with a size of m '× n' in the gray scale image I in step (1b) is extracted by:
(1b1) calculating the sum of the amplitudes of all pixels in each row in the gray level image I to obtain a row pixel amplitude sum sequence RS [ RS ]1,rs2,…,rsx,…rsm]And calculating the mean value rm of the elements in RS, wherein RSxTo express a gray image IxThe sum of all pixel amplitudes of a row;
(1b2) calculating each element RS in RSxDifference from rm gives the sequence R ═ R1,r2,…,rx,…rm]And the minimum value x of the positions corresponding to the elements larger than 0 in the R is determinedminAnd maximum value xmaxRespectively as the start and end lines of a region of interest of the gray image I, where rx=rsx-rm;
(1b3) Calculating the sum of the amplitudes of all pixels in each column in the gray-scale image I to obtain a column pixel amplitude sum sequence CS [ CS ]1,cs2,…,csy,…csn]And calculating the mean value cm of elements in CS, wherein CSyThe sum of all pixel amplitudes of the y-th column representing the gray-scale image I;
(1b4) computing each element CS in the CSyDifference from cm gives the sequence C ═ C1,c2,…,cy,…cn]And the minimum value y of the positions corresponding to the elements larger than 0 in CminAnd maximum value ymaxRespectively as the start column and the end column of the region of interest of the gray image I, wherein cy=csy-cm;
(1b5) Will be the xth of the gray image IminGo to the xmaxLine, and yminColumn to ymaxThe area image of the size m ' × n ' formed by the columns is determined as the region of interest ROI image of the gray image I, where m ' ═ xmax-xmin,n′=ymax-ymin
3. The method for extracting aerial target length features of ISAR images as claimed in claim 1, wherein in step (2), pixel interpolation is performed on the ROI image in the azimuth dimension, and pixel extraction is performed on the ROI image in the azimuth dimension, wherein the interpolation is performed by nearest neighbor interpolation, bilinear interpolation or bicubic interpolation, and the extraction is performed by nearest neighbor interpolation, bilinear interpolation or bicubic interpolation.
4. The method for extracting ISAR image aerial target length features as claimed in claim 1, wherein the step (3a) is performed by smoothing the ROI image of the region of interest by using a Gaussian filter method, the window size of the Gaussian filter is 5 x 5 to 9 x 9, and the standard deviation is 5 to 50.
5. The method for extracting aerial target length features of ISAR image according to claim 1, wherein the pair I in step (3b)BBackup image I ofB' performing threshold segmentation, and the pair I described in step (3d)BBAnd performing threshold segmentation by adopting an OSTU method.
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