CN107507136A - Digital picture based on Rank conversion repairs algorithm - Google Patents

Digital picture based on Rank conversion repairs algorithm Download PDF

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Publication number
CN107507136A
CN107507136A CN201710575148.1A CN201710575148A CN107507136A CN 107507136 A CN107507136 A CN 107507136A CN 201710575148 A CN201710575148 A CN 201710575148A CN 107507136 A CN107507136 A CN 107507136A
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China
Prior art keywords
repaired
rank
multiblock
calculated
value
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CN201710575148.1A
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Chinese (zh)
Inventor
朱程涛
李锵
滕建辅
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Tianjin University
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Tianjin University
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Priority to CN201710575148.1A priority Critical patent/CN107507136A/en
Publication of CN107507136A publication Critical patent/CN107507136A/en
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06TIMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T5/00Image enhancement or restoration

Abstract

The present invention relates to a kind of digital picture based on Rank conversion to repair algorithm, including:For breakage image I to be repaired, its gradient information ▽ I are calculated, the principle according to bilateral filtering calculates the bilateral filtering weighted value W of each pixel in I, while carries out Rank conversion to breakage image I, obtains transformation results RI, and the Rank conversion after being polymerizeRepaired to repairing breakage image I damaged area;Calculate luminance difference between multiblock to be repaired and match block, gradient disparities, Rank differences, then blocks and optimal matching blocks ω (q are calculated using the similarity measurements flow function after improvement as the similarity measurements flow function after improving in the result obtained after above-mentioned three species diversity value being carried out into linear combination*), complete multiblock ω (p to be repaired*) reparation.

Description

Digital picture based on Rank conversion repairs algorithm
Technical field
The invention belongs to computer picture to restore field, available for historical relic's protection, video display special effect making etc..
Background technology
Digital Image Inpainting is the study hotspot in image processing field, and how it utilizes figure to be repaired if mainly being studied As the intact information of surrounding is filled reparation to damaged area, and then the reparation of image is completed, while ensure the effect repaired In subjective vision effect naturally rationally.It is numerous that the technology can be applied to the reparation of older picture, the removal of captions, visual effect etc. Field, there is important Research Significance and value.
Digital Image Inpainting conventional at this stage is the algorithm based on traditional sample block reparation, the main basis of the algorithm Complex pattern damaged area to be repaired and neighbouring intact area information calculate the priority repaired, the maximum pixel of selecting priority Point starts to repair, and priority essentially dictates the order of reparation, it is determined that, it is necessary to pass through similarity measurements flow function after repairing order Carry out multiblock to be repaired to be matched with numerous possible match blocks, select matching degree highest match block to carry out to be repaired piece The filling and synthesis of texture.Traditional digital picture based on sample block reparation repairs algorithm and generally selects minimum absolute difference square With SSD criterions as unique similarity measurements flow function, and blocks and optimal matching blocks, the matching criterior mistake that the method uses are found with this In influence that is single, and being vulnerable to noise, the robustness of algorithm is relatively low, is also easy to produce the phenomenon of error hiding and then causes repairing for image Multiple junction fruit produces a certain degree of deviation.
The content of the invention
The present invention repairs the problem of algorithm is present for digital picture of the tradition based on sample block and proposes that one kind is based on Rank The digital picture of conversion repairs algorithm, and algorithm is applied to phase by carrying out Rank conversion to breakage image to be repaired Like property metric function calculating in obtain more accurate measurement criterion, finally realize the image repair effect of high accuracy. Technical scheme is as follows:
A kind of digital picture based on Rank conversion repairs algorithm, comprises the following steps:
(1) for breakage image I to be repaired, its gradient information ▽ I are calculated, the principle according to bilateral filtering calculates every in I The bilateral filtering weighted value W of individual pixel, while Rank conversion is carried out to breakage image I, obtain transformation results RI, and will be bilateral Filtering weighting value W and transformation results RIIt is multiplied, and the value that above-mentioned multiplication obtains is polymerize in stationary window, is polymerize Rank conversion afterwards
(2) repair to repairing breakage image I damaged area, calculated first using the digital picture reparation based on sample block Priority calculation in method calculates target pixel points p priority P (p), is then calculated according to maximum priority principle The target pixel points p maximum to priority*, and its corresponding object block is labeled as multiblock ω (p to be repaired*);
(3) multiblock ω (p to be repaired are calculated*) brightness value I (ω (p*)), Grad ▽ I (ω (p*)), polymerization after Rank Transformed valueAfter the brightness value I (ω (q)), Grad ▽ I (ω (q)), polymerization that calculate match block ω (q) simultaneously Rank transformed values
(4) according to formula cI(ω(p*), ω (q))=min (| I (ω (p*))-I(ω(q))|,τ1) calculate multiblock to be repaired Luminance difference c between match blockI(ω(p*), ω (q)), wherein τ1For constant,
According to formula c▽I(ω(p*), ω (q))=min (| ▽ I (ω (p*))-▽I(ω(q))|,τ2) calculate it is to be repaired Gradient disparities c between block and match block▽I(ω(p*), ω (q)), wherein τ2For constant,
According to formulaMultiblock to be repaired is calculated with matching Rank differences between blockWherein τ3For constant, after above-mentioned three species diversity value then is carried out into linear combination Obtained result is calculated optimal as the similarity measurements flow function after improving using the similarity measurements flow function after improvement With block ω (q*), complete multiblock ω (p to be repaired*) reparation;
(5) by ω (p*) region is rejected from damaged area, and repeat step (2)~(4) are until damaged area is empty set When complete reparation to breakage image I to be repaired.
In a word, the present invention repairs deficiency existing for algorithm for digital picture of the tradition based on sample block, it is proposed that a kind of Based on Rank conversion digital picture repair algorithm, using the luminance difference between multiblock to be repaired and match block, gradient disparities with And Rank transformed differences set relatively reasonable similarity measurements flow function, and the image repair knot of high accuracy is realized with this Fruit.The present invention can obtain more rational digital picture repairing effect, there is relatively broad application prospect.
Brief description of the drawings
The digital picture based on Rank conversion of Fig. 1 present invention repairs algorithm flow chart.
Fig. 2 is that the present invention contrasts with digital picture reparation algorithm of the tradition based on sample block to the repairing effect of image, its In:
Scheme (a) breakage image to be repaired (red area represents damaged area);
It is the repairing effect that digital picture of the tradition based on sample block repairs algorithm to scheme (b);
It is the inventive method repairing effect to scheme (c).
Embodiment
Digital picture of the present invention based on Rank conversion repairs algorithm, is mainly made up of two parts:Breakage image to be repaired Rank conversion and polymerization, the improvement of similarity measurements flow function.Specific steps and principle are as follows:
101:The Rank conversion and polymerization of breakage image to be repaired;
For breakage image I to be repaired, its gradient information ▽ I are calculated, the principle according to bilateral filtering is each pixel in I Point sets weighted value, while carries out Rank conversion to breakage image I, obtains transformation results RI, and conversion is tied according to weighted value Fruit RIIt is polymerize, the Rank conversion after being polymerize
Pixel centered on wherein i;J is pixel, size ω centered on i1Window in any pixel;K is The pixel centered on i, size ω2Window in any pixel;δ is piecewise function;W (k) is that the bilateral filtering of k points is weighed Weight values, α, β are constant.
102:Breakage image I to be repaired relevant range mark;
Breakage image I to be repaired damaged area is Ω, and edge isTarget pixel points p isOn any point, Source region is Φ, and meets relation Φ+Ω=I.
103:The calculating of prioritization functions;
P (p)=C (p) D (p)
Wherein P (p) be target pixel points p priority, C (p) be target pixel points p confidence item, ω (p) be using p as Central pixel point, the object block that any pixel that window size is ω forms;V is ω (p) and the picture in source region Φ common factor Vegetarian refreshments;D (p) is target pixel points p data item;▽I(p) isophote direction of the p points in I, ▽ are representedxI、▽yI distinguishes For I level, the gradient of vertical direction;T (p) is the normal vector of tangent line of the damaged boundary at p.
Calculate the maximum point p of target pixel points priority*
The maximum point p of priority*Corresponding object block ω (p*) it is multiblock to be repaired.
104:The improvement of similarity measurements flow function calculates
Multiblock ω (p to be repaired are calculated first*) brightness value I (ω (p*)), Grad ▽ I (ω (p*)), polymerization after Rank Transformed valueAfter the brightness value I (ω (q)), Grad ▽ I (ω (q)), polymerization that calculate match block ω (q) simultaneously Rank transformed valuesQ is that source region is any pixel in Φ, is then calculated between multiblock to be repaired and match block Luminance difference cI(ω(p*), ω (q)), gradient disparities c▽I(ω(p*), ω (q)), Rank differences
cI(ω(p*), ω (q))=min (| I (ω (p*))-I(ω(q))|,τ1)
c▽I(ω(p*), ω (q))=min (| ▽ I (ω (p*))-▽I(ω(q))|,τ2)
Wherein τ1、τ2、τ3For constant.
Above-mentioned three species diversity value is subjected to the similarity measurements flow function c (ω (p after linear combination generation improves*),ω (q))。
Wherein λ1、λ2、λ3For weight constant.
105:The filling reparation of multiblock to be repaired;
Blocks and optimal matching blocks ω (q are found using the similarity measurements flow function after improvement*), complete object block ω (p*) reparation:
Wherein, q*For Optimum Matching point.
Then to the multiblock ω (p to be repaired of breakage*) be filled reparation, i.e.,:
I(ω(p*) ∩ Ω)=I (ω (q*))
Then update damaged area and source region, respectively obtain new damaged area Ω ' and new source region Φ ' i.e.:
Ω '=Ω-(ω (p*)∩Ω)
Φ '=Φ+(ω (p*)∩Ω)
New source region is again marked as source region again, i.e.,:
Ω=Ω '
Φ=Φ '
According to below equation to having repaired the confidence value of respective pixel point in sample block:
C(ω(p*) ∩ Ω)=C (p*)
106:102-105 steps are repeated, until damaged area is empty set, complete the reparation of image.
Obtain final image repair result.
Tested below with specific to verify the feasibility of this method, it is described below:
Result of the test is that this method in CPU is Intel i7-3610QM, 2.3GHz, inside saves as 16G notebook computer Obtained by upper operation, operating system is Windows 7, and simulation software is 64 Matlab R2012b.
From figure 2 it can be seen that algorithm is repaired in armrests region using traditional digital picture based on sample block Phenomenon is repaired by mistake in the presence of obvious, and the repairing effect that the present invention obtains is more naturally reasonable.
It will be appreciated by those skilled in the art that accompanying drawing is the schematic diagram of a preferred embodiment, the embodiments of the present invention Sequence number is for illustration only, does not represent the quality of embodiment.
The foregoing is only presently preferred embodiments of the present invention, be not intended to limit the invention, it is all the present invention spirit and Within principle, any modification, equivalent substitution and improvements made etc., it should be included in the scope of the protection.
The idiographic flow of the present invention is as follows:
(1) for breakage image I to be repaired, its gradient information ▽ I are calculated, the principle according to bilateral filtering calculates every in I The bilateral filtering weighted value W of individual pixel, while Rank conversion is carried out to breakage image I, obtain transformation results RI, and will be bilateral Filtering weighting value W and transformation results RIIt is multiplied, and the value that above-mentioned multiplication obtains is polymerize in stationary window, is polymerize Rank conversion afterwards
(2) repair to repairing breakage image I damaged area, repaiied first using traditional digital picture based on sample block Priority calculation in double calculation method calculates target pixel points p priority P (p), then according to maximum priority principle meter Calculate and obtain the maximum target pixel points p of priority*, and its corresponding object block is labeled as multiblock ω (p to be repaired*);
(3) multiblock ω (p to be repaired are calculated*) brightness value I (ω (p*)), Grad ▽ I (ω (p*)), polymerization after Rank Transformed valueAfter the brightness value I (ω (q)), Grad ▽ I (ω (q)), polymerization that calculate match block ω (q) simultaneously Rank transformed values
(4) according to formula cI(ω(p*), ω (q))=min (| I (ω (p*))-I(ω(q))|,τ1) calculate multiblock to be repaired Luminance difference c between match blockI(ω(p*), ω (q)), wherein τ1For constant,
According to formula c▽I(ω(p*), ω (q))=min (| ▽ I (ω (p*))-▽I(ω(q))|,τ2) calculate it is to be repaired Gradient disparities c between block and match block▽I(ω(p*), ω (q)), wherein τ2For constant,
According to formulaMultiblock to be repaired is calculated with matching Rank differences between blockWherein τ3For constant, after above-mentioned three species diversity value then is carried out into linear combination Obtained result is calculated optimal as the similarity measurements flow function after improving using the similarity measurements flow function after improvement With block ω (q*), complete multiblock ω (p to be repaired*) reparation;
(5) by ω (p*) region is rejected from damaged area, and repeat step (2)~(4) are until damaged area is empty set When complete reparation to breakage image I to be repaired.

Claims (1)

1. a kind of digital picture based on Rank conversion repairs algorithm, comprise the following steps:
(1) for breakage image I to be repaired, its gradient information is calculatedPrinciple according to bilateral filtering calculates each pixel in I The bilateral filtering weighted value W of point, while Rank conversion is carried out to breakage image I, obtain transformation results RI, and bilateral filtering is weighed Weight values W and transformation results RIIt is multiplied, and the value that above-mentioned multiplication obtains is polymerize in stationary window, after is polymerize Rank is converted
(2) repair to repairing breakage image I damaged area, repaired first using the digital picture based on sample block in algorithm Priority calculation calculate target pixel points p priority P (p), be then calculated according to maximum priority principle excellent First weigh the target pixel points p of maximum*, and its corresponding object block is labeled as multiblock ω (p to be repaired*);
(3) multiblock ω (p to be repaired are calculated*) brightness value I (ω (p*)), GradRank transformed values after polymerizationMatch block ω (q) brightness value I (ω (q)), Grad is calculated simultaneouslyRank conversion after polymerization Value
(4) according to formula cI(ω(p*), ω (q))=min (| I (ω (p*))-I(ω(q))|,τ1) multiblock to be repaired is calculated with matching Luminance difference c between blockI(ω(p*), ω (q)), wherein τ1For constant,
According to formulaCalculate between multiblock to be repaired and match block Gradient disparitiesWherein τ2For constant,
According to formulaCalculate multiblock to be repaired and match block it Between Rank differencesWherein τ3For constant, obtained after above-mentioned three species diversity value then is carried out into linear combination Result as improve after similarity measurements flow function, blocks and optimal matching blocks are calculated using the similarity measurements flow function after improvement ω(q*), complete multiblock ω (p to be repaired*) reparation;
(5) by ω (p*) region is rejected from damaged area, and repeat step (2)~(4) are until damaged area has been when being empty set Paired breakage image I to be repaired reparation.
CN201710575148.1A 2017-07-14 2017-07-14 Digital picture based on Rank conversion repairs algorithm Pending CN107507136A (en)

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Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
DE10005822A1 (en) * 2000-02-10 2001-08-30 Xenia Bruehn Calculating a signal transformation, involves computing difference histograms for use with another window, then adds or substracts corresponding values from predecessor window
CN104200444A (en) * 2014-09-25 2014-12-10 西北民族大学 Image restoring method based on symmetric sample pieces
CN106204503A (en) * 2016-09-08 2016-12-07 天津大学 Based on improving confidence level renewal function and the image repair algorithm of matching criterior

Patent Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
DE10005822A1 (en) * 2000-02-10 2001-08-30 Xenia Bruehn Calculating a signal transformation, involves computing difference histograms for use with another window, then adds or substracts corresponding values from predecessor window
CN104200444A (en) * 2014-09-25 2014-12-10 西北民族大学 Image restoring method based on symmetric sample pieces
CN106204503A (en) * 2016-09-08 2016-12-07 天津大学 Based on improving confidence level renewal function and the image repair algorithm of matching criterior

Non-Patent Citations (1)

* Cited by examiner, † Cited by third party
Title
马璇等: "一种基于改进Rank 变换的图像匹配算法", 《传感器与微系统》 *

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