CN109658361A - A kind of moving scene super resolution ratio reconstruction method for taking motion estimation error into account - Google Patents

A kind of moving scene super resolution ratio reconstruction method for taking motion estimation error into account Download PDF

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CN109658361A
CN109658361A CN201811612588.0A CN201811612588A CN109658361A CN 109658361 A CN109658361 A CN 109658361A CN 201811612588 A CN201811612588 A CN 201811612588A CN 109658361 A CN109658361 A CN 109658361A
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CN109658361B (en
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卜丽静
张正鹏
郑新杰
姜昀呈
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Liaoning Technical University
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Abstract

The present invention provides a kind of moving scene super resolution ratio reconstruction methods for taking motion estimation error into account, including estimation and the initialization of high score image, super-resolution rebuilding model construction, calculating adaptive threshold parameter, computation model parameter, calculating high resolution image, output high resolution image.The present invention is first from regularization Super-resolution reconstruction established model, under the premise of study movement evaluated error is existing, introduce robust iterative, low resolution image contribution amount in reconstruction process of the adaptive reduction containing motion estimation error, to weaken influence of the motion estimation error to reconstructed results;From the angle analysis of robust iterative robustness of the fidelity term based on L1 norm and L2 norm for motion estimation error, it is proposed the bilateral filtering super resolution ratio reconstruction method based on robust iterative, realize steady super-resolution rebuilding in the presence of motion estimation error, and the experimental verification validity of method, therefore can realize high-precision image in moving scene.

Description

A kind of moving scene super resolution ratio reconstruction method for taking motion estimation error into account
Technical field
The present invention relates to the technical fields of moving scene super-resolution rebuilding more particularly to one kind to take motion estimation error into account Moving scene super resolution ratio reconstruction method.
Background technique
Recently as the continuous development of field of aerospace, satellite video data initially enter the visual field of people, video Satellite becomes the another hot spot of recent domestic research.Video satellite can shoot the dynamic of atural object on the earth in the form of video State information, the monitoring suitable for various dynamic objects.But the resolution ratio of current video satellite is not high, generally uses Super-resolution reconstruction The method built improves video quality, and rebuilding estimation for multiframe oversubscription is a critical issue, and estimation will definitely not be led It causes the moving object after rebuilding to there is phenomena such as " ring " or " hangover ", influences the resolution ratio of dynamic object, therefore, it is necessary to invent The good super resolution ratio reconstruction method of a kind of pair of motion estimation error robustness.
Under the premise of method for estimating precision determines, in current oversubscription reconstruction model, improves estimation and miss The main solution of poor robustness has, 1. directly improve method for estimating improve precision (reference: Baboulaz L, Dragotti P L.Exact feature extraction using finite rate of innovation principles with an application to image super-resolution.IEEE Transactions on Image Processing, 2009,18 (2): 281-298.), but this method complexity is higher;2. estimation and oversubscription are rebuild (the reference: Shen H F, Zhang L P, Huang B, Li P X.A map approach or joint of Combined estimator method motion estimation,segmentation,and super resolution.IEEE Transactions on Image Processing, 2007,16 (2): 479-490.), it solves in iterative process in reconstruction model simultaneously to estimation As a result it is updated, the advantage with iteration adjustment, but inefficient;3. piecemeal estimation and the method rebuild (reference: Su H,Tang L,Wu Y,Tretter D,Zhou J.Spatially adaptive block-based super- Resolution.IEEE Transactions on Image Processing, 2012,21 (3): 1031-1045.), it is first right High-definition picture plane carries out adaptive piecemeal, using information such as motion match precision, image texture situations as Block Characteristic, Method using machine learning is the different traditional super-resolution algorithms of different regional choices, and algorithm is complex, moves width Spend the atural object less effective that differs greatly.In these current Super-resolution reconstruction established models, MAP estimation method (Maximum A posterior, MAP) (Schultz R R, Stevenson R L.Extraction of high-resolution frames from video sequences[J].Image Processing,IEEE Transactions on,1996,5 (6): 996-1011.) effect rebuild can be improved by the way that prior-constrained item is added, but this method fidelity term is fixed, it cannot be certainly The selection fidelity term of adaptation.
The above method is summarized, at present under the premise of containing motion estimation error, general method for reconstructing all has " vibration Bell " or " hangover " phenomenon, it is sensitive to estimation, although prior-constrained improvement reconstruction quality can be added in MAP estimation, not Selection fidelity term that can be adaptive according to picture material.Therefore, there is an urgent need to one to be further processed in reconstruction model The super-resolution rebuilding algorithm of estimation residual error.
Summary of the invention
In view of the above technical problems, it is super that the purpose of the present invention is to provide a kind of moving scenes for taking motion estimation error into account Resolution reconstruction method, the bilateral filtering super resolution ratio reconstruction method based on robust iterative, realizes and deposits in motion estimation error Steady super-resolution rebuilding in case.
To achieve the above object, the present invention is a kind of provides the moving scene super-resolution rebuilding for taking motion estimation error into account Method includes the following steps:
S1: a frame is selected to estimate adjacent interframe with global motion estimating method as reference frame in image sequence Motion vectorIndicate x, the light stream vector on the direction y, in formulaWith the fortune of obtained adjacent interframe Dynamic vectorCalculate motion vector of each frame relative to reference frameWherein i represents benchmark frame sequence;F is represented Estimate the sequence of consecutive frame;R represents the sequence that estimate overall movement vector;With the method for interpolation sports groundWithIt inserts It is worth in high-resolution grid, and initializes high resolution image with the method for interpolation
S2: BTV is selected to construct Super-resolution reconstruction established model using M- estimation function as fidelity term as regular terms;
S3: adaptive thresholding value parameter a is calculatedk, in order to reduce the influence of estimation residual error and PSF evaluated error, Adaptive thresholding value parameter a is determined according to the reliability of each framekValue, make the low resolution image for having larger residual error akIt is smaller, reduce its contribution amount to high resolution image;
S4: computation model parameter Wk,n, Wk,nIt is the diagonal matrix for measuring residual error power;
S5: to the obtained data of step S2, S3 and S4, corresponding high resolution image is found out, according to steepest descent method Whether the number of iterations n reaches times N, reaches and just terminates;
S6: the number of iterations n reaches corresponding times N output, otherwise continues cycling through;
S7: output high resolution image.
Preferably, the super-resolution rebuilding objective function in step S2, super-resolution rebuilding objective function:
Wherein akIt is adaptive thresholding value parameter, ek,mIt is residual error, λ,It is weight parameter, X is high resolution image, M is the number of image pixel, and 2*P+1 is the size of one-dimensional two-sided filter core, and P is filter kernel size,Generation respectively Table horizontal direction translates l pixel, and vertical direction translates h pixel.
Further, a in the step S3kSolution formulaWherein t > 0 controls quadratic function Decaying,It represents between every frame simulation low resolution image and observation low resolution image Average residual error, that D is represented is down-sampling matrix, BKThat represent is fuzzy matrix, MKWhat is represented is deformation matrix,It is just The high resolution image of beginning, YkRepresent low resolution image;What M was represented is the number of image pixel, and t, r are respectively by formulaWithIt obtains, wherein aminTake 0.1, amaxIt takes in all low resolution images most Big mean residual, i.e. amax=Emax, EminIt is minimum residual error.
Further, it includes: to judge n < N that the number of iterations n, which reaches corresponding times N output, in the step S6, is, then Return step S3, it is no, then enter step S7;
By upper, the moving scene super resolution ratio reconstruction method for taking motion estimation error into account of the invention is super from regularization first Resolution reconstruction model sets out, and under the premise of study movement evaluated error is existing, introduces robust iterative, adaptive reduction contains Contribution amount of the low resolution image of motion estimation error in reconstruction process, to weaken motion estimation error to reconstructed results Influence;From the angle analysis of robust iterative robust of the fidelity term based on L1 norm and L2 norm for motion estimation error Property, the bilateral filtering super resolution ratio reconstruction method based on robust iterative is proposed, the feelings existing for motion estimation error are realized Steady super-resolution rebuilding under condition, and the experimental verification validity of method.The no approximation of the treatment process of the method for the present invention, And primary operational carries out in the oversubscription of moving target scene is rebuild, therefore can realize high-precision image in moving scene.
Detailed description of the invention
Fig. 1 is the flow chart of the moving scene super resolution ratio reconstruction method for taking motion estimation error into account of the invention;
Fig. 2 is that different regular terms reconstructed results compare figure;
Fig. 3 is the reconstructed results comparison diagram of SkyBox satellite video;
Fig. 4 is the reconstructed results comparison diagram of one number of Jilin.
Specific embodiment
Referring to FIG. 1 to FIG. 4 to the moving scene super-resolution rebuilding side of the present invention for taking motion estimation error into account Method is described in detail.
As shown in Figure 1, in order to carry out super-resolution rebuilding to image, the present invention takes the moving scene of motion estimation error into account Super resolution ratio reconstruction method comprises the following steps that
Step S1: selecting a frame as reference frame in image sequence, adjacent to estimate with global motion estimating method The motion vector of interframeIndicate x, the light stream vector on the direction y, in formulaWith obtained consecutive frame Between motion vectorCalculate motion vector of each frame relative to reference frameWherein i represents reference frame sequence Column;F represents the sequence (when estimation consecutive frame) that estimate frame, is relative to the motion vector of first frame;R representative will estimate frame Sequence (estimation overall movement vector), be exactly that the three of consecutive frame is added;With the method for interpolation sports groundWithInterpolation High resolution image is initialized onto high-resolution grid, and with the method for interpolation
Step S2: regular terms selects BTV to construct super-resolution using M- estimation function as fidelity term as regular terms Reconstruction model, super-resolution rebuilding objective function such as following formula:
Wherein M is the number of image pixel, M=N1*N2, Represent r-th of high score shadow As upper pixel xrThe process of m pixel on to low point of image of kth frame, including move, obscure and down-sampling.X is high-resolution Rate image, yk,mRepresent m-th of pixel of kth frame observation low resolution image.Actually ek,mIndicate simulation low resolution image With the residual error of low point of image of observation.akIt is adaptive thresholding value parameter, λ,It is weight parameter, 2*P+1 is one-dimensional bilateral filter The size of wave device core, P filter kernel size,It respectively represents horizontal direction and translates l pixel, vertical direction translates h Pixel.
Step S3: adaptive thresholding value parameter is calculatedThe decaying of quadratic function is controlled,It represents average residual between every frame simulation low resolution image and observation low resolution image Remaining error, that D is represented is down-sampling matrix, size N1N2×r2N1N2, BKWhat is represented is fuzzy matrix, and size is r2N1N2×r2N1N2;MKThat represent is deformation matrix, size r2N1N2×r2N1N2It is initial high resolution image, Generally obtained by reference low resolution image interpolation;YkRepresent low resolution image;That M is represented is the number of image pixel, M= N1×N2.T, r is respectively by formulaWithIt obtains, wherein aminTake 0.1, amaxTake institute There are maximum mean residual, i.e. a in low resolution imagemax=Emax, EminIt is minimum residual error, generally takes 10-6.In order to reduce The influence of estimation residual error and PSF evaluated error determines adaptive thresholding value parameter a according to the reliability of each framek Value, make a for the low resolution image for having larger residual errorkIt is smaller, reduce its contribution amount to high resolution image.
Step S4: iterative solution formula to the end is obtained according to steepest descent method formula:Wherein β For iteration step length, computation model parameter Wk,n, Wk,nIt is the diagonal matrix for measuring residual error power, passes throughIt calculates,It is i-th of element of residual vector, calculation formula:
Step S5: to the obtained data of step S2, S3 and S4, corresponding high resolution image is found out, according under steepest Whether drop method the number of iterations n reaches times N, reaches and just terminates.
Step S6: the number of iterations n reaches corresponding times N output: judging n < N, is, then return step S3;It is no, then into Enter step S7.
Step S7: output high resolution image.
As shown in Fig. 2, this experiment is the performance of more different regular terms, using the steady fidelity term of the present invention, use respectively Tivhonov, TV, BTV rebuild low-resolution video sequence (such as Fig. 2 (a)), there are moulds in original image as regular terms Paste, noise situations.Fig. 2 (b) and (c) are Tivhonov and TV regular terms reconstructed results respectively, the inhibition situation of noise in image Generally, some are fuzzy for writing.Fig. 2 (d) is BTV regular terms reconstructed results, and noise is inhibited, and edge is kept preferably, and details is clear It is clear.
As shown in figure 3, dividing using BTV as bound term for verifying the method for the present invention the Lu Bangxing of motion estimation error Not Cai Yong L1 norm, L2 norm, robust iterative of the present invention as fidelity term (abbreviation method 1, method 2, the method for the present invention), altogether into The satellite video data of SkyBox and Jilin No.1 are respectively adopted in two groups of comparative experimentss of row, experimental data, and Experimental Area is respectively Caliph tower area and Mexico Du Lange, it is 5 frames that frame number is rebuild in experiment, and rebuilding multiple is 2 times.It is big in image data sequence Part atural object is static background atural object, and dynamic atural object is the aircraft of movement, vehicle.Overall motion estimation side is used in experiment Method, this method are preferable to static atural object estimated result, but when clapping has moving object in scene, the movement ginseng of moving object Number evaluated error is very big, can clearly react algorithm for reconstructing to the susceptibility of kinematic error.
Fig. 3 (a) is the raw video of SkyBox satellite video, static background atural object and is quickly moved winged in Experimental Area Machine motion state is different, and the ratio very little that aircraft occupies in entire image, can by the principle of overall motion estimation To know, the estimation of kinematic parameter is based on the pixel of background parts, so static atural object estimation is relatively accurate, the movement of aircraft Estimation be it is inaccurate, i.e., kinematic parameter error is mainly reflected in aircraft portions, and this fractional error also will have a direct impact on The result of method for reconstructing.The image and details (such as Fig. 3) of observation reconstruction front and back can be seen that the static atural object after rebuilding in image Details is more richer than original image, and the edge contour in river and building in atural object is all more clear than original image.But it is transported in image Dynamic aircraft is widely different after rebuilding, and the result of method 2 such as Fig. 3 (b) and (f), static atural object reconstructed results are fine, sport plane Smudgy, the form of aircraft obscures visible.The result of method 1 is better than method 2, but aircraft weight in the movement in the method for the present invention It is apparent to build rear profile edge details, fuselage interior Pixel Information is more evenly consistent, and Global Information is kept in original image just The consistency of body movement, and increase local message.Therefore, description of test the method for the present invention is unwise to action reference variable error Sense, it is preferable to rebuild statically and dynamically object in the case where certain movement error can be contained in kinematic matrix.
As shown in figure 4, Fig. 4 is the experimental result of one number of Jilin, it mainly include static atural object and fortune in group experiment Vehicle in dynamic.Since vehicle and static building etc. are there are the difference of motion state, motion estimation error is mainly reflected in Vehicle sections.The image of front and back is rebuild in comparison it can be found that the static background information after several method is rebuild is all preferable, such as Fig. 4 (e) the corresponding building information of big frame portion point in, edge and internal information are all more clear than original image, but the reconstructed results of moving vehicle It differs greatly.Vehicle trailing phenomenon after rebuilding such as method 2 (small frame portion point corresponding (b) and (f) in Fig. 4 (e)) is serious, both See that vehicle is longer than original image on the whole, in detail view the Pixel Information of vehicle interior there are the alternate grid phenomenon of monochrome pixels, this It is to cause algorithm calculating also to generate deviation since there are errors for vehicle sections estimation, make information of vehicles in length and inside Pixel portion generates mistake.Method 1 (such as Fig. 4 (c) and (g)) although in vehicle do not trail, vehicle and road junction Pixel Information distortion, have black outline border (such as Fig. 4 (g)), vehicle internal information the phenomenon that there is also black and white grid.Side of the present invention Vehicle after method (such as Fig. 4 (d)) reconstruction, not only maintains original vehicle information, but also profile and internal information are all apparent, no In the presence of hangover and black grid phenomenon, detailed information is saved more intact.

Claims (4)

1. a kind of moving scene super resolution ratio reconstruction method for taking motion estimation error into account, which comprises the steps of:
S1: a frame is selected to estimate the movement of adjacent interframe with global motion estimating method as reference frame in image sequence VectorIndicate x, the light stream vector on the direction y, in formulaIt is sweared with the movement of obtained adjacent interframe AmountCalculate motion vector of each frame relative to reference frameWherein i represents benchmark frame sequence;F representative will be estimated Count the sequence of consecutive frame;R represents the sequence that estimate overall movement vector;With the method for interpolation sports groundWithIt is interpolated into In high-resolution grid, and high resolution image is initialized with the method for interpolation
S2: BTV is selected to construct Super-resolution reconstruction established model using M- estimation function as fidelity term as regular terms;
S3: adaptive thresholding value parameter a is calculatedk
S4: computation model parameter Wk,n, Wk,nIt is the diagonal matrix for measuring residual error power;
S5: to the obtained data of step S2, S3 and S4, corresponding high resolution image is found out, according to steepest descent method iteration Whether frequency n reaches times N, reaches and just terminates;
S6: the number of iterations n reaches corresponding times N output, otherwise continues cycling through;
S7: output high resolution image.
2. the moving scene super resolution ratio reconstruction method according to claim 1 for taking motion estimation error into account, feature exist In super-resolution rebuilding objective function in the step S2:
Wherein akIt is adaptive thresholding value parameter, ek,mIt is residual error, λ,It is weight parameter, X is high resolution image, and M is The number of image pixel, 2*P+1 are the sizes of one-dimensional two-sided filter core, and P is filter kernel size, Respectively represent water Square to translation l pixel, vertical direction translation h pixel.
3. the moving scene super resolution ratio reconstruction method according to claim 1 for taking motion estimation error into account, feature exist In a in the step S3kSolution formulaWherein t > 0 controls the decaying of quadratic function,It represents average residual between every frame simulation low resolution image and observation low resolution image Remaining error, that D is represented is down-sampling matrix, BKThat represent is fuzzy matrix, MKWhat is represented is deformation matrix,It is initial height Resolution image, YkRepresent low resolution image;What M was represented is the number of image pixel, and t, r are respectively by formulaWithIt obtains, wherein aminTake 0.1, amaxIt takes in all low resolution images most Big mean residual, i.e. amax=Emax, EminIt is minimum residual error.
4. the moving scene super resolution ratio reconstruction method according to claim 1 for taking motion estimation error into account, feature exist In it includes: to judge n < N that the number of iterations n, which reaches corresponding times N output, in the step S6, is, then return step S3;It is no, Then enter step S7.
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