CN105761292B - One kind is based on color transfer and modified image rendering methods - Google Patents

One kind is based on color transfer and modified image rendering methods Download PDF

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CN105761292B
CN105761292B CN201610112647.2A CN201610112647A CN105761292B CN 105761292 B CN105761292 B CN 105761292B CN 201610112647 A CN201610112647 A CN 201610112647A CN 105761292 B CN105761292 B CN 105761292B
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image
target gray
feature
color
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CN105761292A (en
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金正猛
赵敏钧
郭少健
冯子朋
杨真真
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Nanjing Post and Telecommunication University
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06TIMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T11/002D [Two Dimensional] image generation
    • G06T11/001Texturing; Colouring; Generation of texture or colour

Abstract

The invention discloses one kind based on color transfer and modified image rendering methods, including step:Space is converted, and obtains the component information of the point brightness of target gray image any pixel and coloration;Read any one pixel t in target gray image;Using non local method, the selected pixels point s in the coloured image of source, pixel s determine that the Variance feature of window and discrete Fourier transform feature window Variance feature determining with pixel t institutes and discrete Fourier transform feature are close;The chromatic value of pixel t is tentatively coloured according to the chromatic value of pixel s;Coupling total variation model is established, solving model obtains the optimal solution of chromatic value, will acquire optimal solution as revised chromatic value, brightness value remains unchanged;It repeats the above steps, each pixel t of target gray image is modified and exports revised image.Color space is inconsistent after the present invention can preferably overcome the problems, such as coloring, realizes automatically and rapidly accurate coloring.

Description

One kind is based on color transfer and modified image rendering methods
Technical field
The present invention relates to one kind based on color transfer and modified image rendering methods, belong to the technology neck of image processing Domain.
Background technology
In information is transmitted and is exchanged, image is important communications media.In human visual system, color is to embody to regard One of an important factor for feeling cognition.Since human eye can not show a candle to colour information to the susceptibility of half-tone information, therefore, it is desirable to gray scale Image becomes coloured image to enhance visual effect, i.e. image colorant (image colorization) technology, also referred to as grey Spend image colorization.Image colorant is the computer assisted procedures that color is added to still image or video sequence.Exist at present The fields such as video display, medical treatment, space probation and industry, scientific research have a wide range of applications, while the research of image rendering methods Always active, the challenging research topic of image procossing and one, applied mathematics field.
The image rendering methods of view-based access control model cognition in recent years can be divided mainly into two classes:One kind is expanded based on local color The color method opened;Another kind is the color method shifted based on color.At present, in the color method research shifted based on color Aspect, due in target gray image, the coloring treatment at each pixel is independent, therefore this traditional coloring side Method usually will appear the problem of color is inconsistent, and is still far from perfect using the color method that partial differential equation model.How to allow Color keeps Space Consistency (spatial consistency) in transfer process, is always that color transfer color method is ground The a great problem studied carefully.Moreover, there has been no unified methods for the image rendering methods based on color transfer.
Invention content
The technical problems to be solved by the invention be to overcome the deficiencies of the prior art and provide it is a kind of based on color transfer and Modified image rendering methods, solve the prior art during the image colorant at each pixel coloring treatment be it is independent, And the problem of color is caused to cannot keep Space Consistency in transfer process, to realize the accurately and quickly coloring of image.
It is of the invention that above-mentioned technical problem is specifically solved using following technical scheme:
One kind is based on source coloured image and target gray figure based on color transfer and modified image rendering methods, this method Picture, including step:
Step 1, space conversion:YCbCr space is selected, target gray is obtained by the conversion of rgb space to YCbCr space The component information of any pixel point brightness and coloration in image, i.e. (Y, Cb, Cr);
Step 2 reads any one pixel t (Y in target gray imaget,Cbt,Crt), centered on pixel t, The window of L × L is opened, the Variance feature of window and discrete Fourier transform feature where determining the pixel;Utilize non local side Method, the selected pixels point s (Y in the coloured image of sources,Cbs,Crs), it is desirable that by the pixel s windows determined Variance feature and Discrete Fourier transform feature and the pixel t determining window Variance features of institute and discrete Fourier transform in target gray image are special It levies close;According to the chromatic value (Cb of pixel s in the source coloured images,Crs) to the coloration of pixel t in target gray image It is worth (Cbt,Crt) tentatively coloured, the step is repeated until each pixel of preliminary coloring target gray image;
Step 3, basis tentatively colour the chromatic value of pixel t and the original brightness of point in obtained target gray image Value Yt, establish coupling total variation model;The optimal solution that coupling total variation model obtains pixel t chromatic values is solved, by what is acquired The optimal solution of chromatic value is remained unchanged as revised chromatic value, brightness value;
Step 4, repeating said steps 3, are modified each pixel t of target gray image and will be revised The image output of pixel composition, that is, complete the coloring to target gray image.
Further, as a preferred technical solution of the present invention, the step 1 is further included to selected YCbCr Space is normalized.
Further, as a preferred technical solution of the present invention, the step 2 selected pixels point s is specifically included:
The sampling set being made of several pixels is chosen in the coloured image of source;
Calculate in the sampling set pixel the Variance feature of determining window and discrete Fourier transform feature, and select Pixel similar in window Variance feature wherein determining with pixel t institutes and discrete Fourier transform feature is taken as feasible solution;
Any one solution is selected from several feasible solutions as target solution, and extracts the pixel color corresponding to the target solution Angle value.
Further, as a preferred technical solution of the present invention, the step 3 solves coupling entirely using ADM algorithms Variation model.
Further, as a preferred technical solution of the present invention, the ADM algorithms specifically include:It will the full change of coupling Differential mode type is changed into the convex programming problem of the linear convex set contrained of standard;Alternating iteration, which is carried out, using ADM algorithms solves acquisition most Excellent solution.
The present invention can generate following technique effect using above-mentioned technical proposal:
(1), it is provided by the present invention based on color transfer and modified image rendering methods, mainly in preliminary tinting stage It is respectively established with color correct, in preliminary tinting stage, it is colored with source that target gray image is found out by non local method Pixel similar in characteristics of image, and the chromatic value at the pixel is passed into gray image, so as to fulfill to gray level image Preliminary coloring.In the color correct stage, the total variation model of a coupling is established, carries out regional area color diffusion, is corrected Color in preliminary coloring process at the inconsistent pixel of color, to obtain the rgb space coordinate of each pixel and complete Image output after color.To image colorant end of output since selecting image space, in the case where ensureing that color is not crossed the border, It realizes the diffusion of regional area color, reaches the quick and precisely amendment purpose at the inconsistent point of color.The present invention can preferably overcome The problem of color space is inconsistent after coloring, realizes automatic, the quick accurate coloring to target gray image, and acquired results are better than The image rendering methods based on color transfer existing at present.
(2) and the method for the present invention is during model solution, first turns model using the Lagrangian method of augmentation The convex programming problem of the linear convex set contrained of standard is turned to, is then solved with alternating direction multiplier ADM algorithms.Compared to tradition Color algorithm, the convergence and coloring precision are obtained for and effectively improve.Meanwhile the algorithm has stronger robust Property.
Description of the drawings
Fig. 1 is the schematic diagram based on color transfer and modified image rendering methods of the present invention.
Specific embodiment
Embodiments of the present invention are described with reference to the accompanying drawings of the specification.
It is based on as shown in Figure 1, the present invention devises a kind of shifted based on color with modified image rendering methods, this method Source coloured image and target gray image, this method mainly include four parts:1. it is converted between color;2. preliminary coloring;It is 3. right The inconsistent point in space carries out color correct;4. coloured image exports.To image colorant end of output since selecting image space, In the case where ensureing that color is not crossed the border, realize the diffusion of regional area color, reach quick and precisely repairing at the inconsistent point of color Positive purpose, each step is respectively as following:
Step 1, color space conversion;In color space selected section, suitable color space is selected --- YCbCr is empty Between, by the conversion of rgb space to YCbCr space, obtain the component information of the point brightness of image any pixel and coloration, i.e., (Y, Cb,Cr);The present invention selects the YCbCr space that can preferably characterize brightness of image, chromaticity, improves coloration efficiency.For carrying The color space matrix of taking-up, needs to be normalized, and Cb (or Cr) value of each chrominance channel is held at 16/255 Between~240/255.
Step 2, the requirement by designed image rendering methods, secondly the color of preliminary coloured part moves process, Its principle is to read any one pixel t (Y in target gray imaget,Cbt,Crt), centered on pixel t, open L × L Window, determine the Variance feature of window where the pixel and discrete Fourier transform feature;Using non local method, in source Selected pixels point s (Y in coloured images,Cbs,Crs), it is desirable that Variance feature and discrete Fu by the pixel s windows determined In the determining window Variance features of pixel t institutes and discrete Fourier transform feature phase in leaf transformation feature, with target gray image Closely, the close degree can according to the corresponding numberical range of coloring required precision setting, if error range is [- 0.05,0.05], but The present invention is not limited to the range, other numberical ranges may be equally applied in this method.Thus according to picture in the source coloured image Chromatic value (the Cb of vegetarian refreshments ss,Crs) to the chromatic value (Cb of pixel t in target gray imaget,Crt) tentatively coloured, weight The multiple step is until each pixel t of preliminary coloring target gray image.
The process of above-mentioned selected pixels point s is:It chooses first in the coloured image of source and is adopted by what several pixels formed Sample set;Then, calculate it is described sampling set in pixel the Variance feature of determining window and discrete Fourier transform feature, And pixel similar in selection window Variance features wherein determining with pixel t institutes and discrete Fourier transform feature is as feasible Solution;Any one solution is selected from several feasible solutions as target solution, and extracts the pixel chromatic value corresponding to the target solution.
The specific implementation process of preliminary tinting steps is as follows in the method for the present invention:Source coloured image S is in YCbCr color spaces Under coordinate be (YS,CbS,CrS), coordinates of the target gray image T under YCbCr color spaces is (YT,CbT,CrT), wherein CbT,CrT=0.For any one pixel t in target gray image T, using non local method, find out so that YTWith YS Feature it is closest when, the pixel s in corresponding source coloured image S, and by the chromatic value V of pixel s0=(Cb0,Cr0) Chromatic value as pixel t, you can realize preliminary coloring.Specifically, to improve coloration efficiency, source coloured image is closed The mesh generation of suitable size, using n point on grid as sub-sampling set D (Sn), the pixel point set of target gray image For D (T).For pixel t ∈ D (T) and s ∈ D (Sn), their coordinates in the picture are t (x, y) and s (x', y') respectively, With t, region (i.e. window) brightness value of L × L sizes centered on s is respectively:
PL(t)={ YT(x+k,y+l)},PL(s)={ YS(x'+k,y'+l)}
(1.1)
For all pixels point in the two regions, two main characteristics of image are chosen:Variance feature, can be preferably Picture engraving texture features;Discrete Fourier transform feature (DFT), can preferably picture engraving architectural characteristic.Color transfer Model is as follows:
f1(t,L),f1(s, L) is the Variance feature of pixel t and pixel s respectively:
f1(t, L)=Var (PL(t)),f1(s, L)=Var (PL(s)) (1.2)
f2(t, L, ξ), f2(s, L, ξ) is DFT (discrete Fourier transform) feature of pixel t and pixel s respectively:
f2(t, L, ξ)=| DFT (PL(t),ξ)|,f2(s, L, ξ)=| DFT (PL(s),ξ)| (1.3)
Wherein ξ=(ξ12) represent frequency.
For pixel t ∈ D (T) and s ∈ D (Sn), the index of correlation under two kinds of features is defined respectively:
d1(t, s, L)=| f1(t,L)-f1(s,L)| (1.4)
F in formula1Represent the variance of certain area pixel set, f2Represent the DFT values of certain area pixel set.d1And d2 The variance in the region centered on pixel t and s and the difference of DFT values are represented respectively.For arbitrary pixel t, need to acquire d1And d2Corresponding s coordinate values when minimum.For solving result is made more accurately to solve, the smaller variable h of numerical value is introduced>0, and turn Index number problem is turned to, the coordinate value of s when solving the index maximum.
By solving above-mentioned two formula, it is able to obtain under two kinds of features, the corresponding chromatic values of pixel t:
And then obtain the corresponding YCbCr space coordinate values of pixel t, using two kinds of features respectively to target gray image into The preliminary coloring of row:
WithSolving result may have multiple, the design proposes arbitrary selection respectively, and one of those is feasible Solution is as the target solution based on Variance feature and DFT features.
Step 3, point mainly inconsistent to space carry out color correct, i.e., tentatively colour in obtained target gray image The chromatic value of pixel t and the original brightness value Y of the pointt, establish coupling total variation model;Part is corrected using color diffusion to think Think, the coupling total variation model of proposition is as follows:
The Ω is bounded image area, and a, b are constant, and a=16/255, b=240/255.
In this model, preceding paragraph is couples total variation regularization term, the consequent fidelity item initially to colour.Wherein:α12> 0 For weight parameter, g is monotonic decreasing function, is set asT ∈ R, k are set as 5000.D is gradient operator, and Δ is Laplace operator.It is defined as below respectively:
GσFor Gaussian kernel, this model uses σ=1.Y0Brightness value for target gray image.|ΔGσ*Y0| it can be effective Portray the structural information in target image.|ΔGσ*Y0| color boundary is represented when larger, corresponding g values are smaller at this time, the coupling Total variation item can effectively prevent color and occur more zone phenomenon in diffusion process.In fidelity item,Tentatively to colour In stage, using two kinds of obtained chromatic values of different characteristic.In the case that the model can not cross the border ensureing color, realization office Portion's field color diffusion, so as to reach the automatic amendment to color after tentatively colouring.
The optimal solution V of pixel t chromatic values is obtained by solving coupling total variation model, once optimal solution V is determined, with reference to Brightness value Y0, you can the color at each pixel t is obtained, by the chromatic value of the optimal solution to pixel t after tentatively colouring Chromatic value be modified, brightness value remains unchanged, and then can complete the automatic coloring of target image.It does not cross the border in guarantee color In the case of, it realizes the diffusion of regional area color, reaches the quick and precisely modified purpose of the inconsistent point in space.
For above-mentioned model, present invention preferably uses following derivation algorithms:
1. pass through created symbol Γ ≡ { V=(Cb, Cr) | a≤Cb, Cr≤b } and auxiliary variableAnd W, Model is changed into the convex programming problem of the linear convex set contrained of following standard:
2. using change of direction Multiplier Algorithm, i.e. ADM algorithms, Lagrangian is introducedObtain as Lower Augmented Lagrangian Functions:
Algorithm flow is as follows:
Assuming thatIt is arbitrary real number with λ, μ > 0, then ordered series of numbersIt is converged to by the calculating of ADM algorithmsWhereinIt is the optimal solution of object function (2.1).
The present invention, using ADMM algorithms, can effectively overcome traditional gradient descent method speed slow and hold during model solution The shortcomings that being easily absorbed in local minimum.Compared to traditional stains algorithm, the convergence and coloring precision have been obtained for Effect improves.Meanwhile the algorithm has higher robustness, but the present invention is not limited to this kind of derivation algorithms.
Step 4 repeats step 3, each pixel t of target gray image is modified, by revised pixel The image output of point composition.Last image output portion using YCbCr to rgb color space inverse conversion, obtains target grey In image the rgb space coordinate of each pixel t and complete coloring after image output.
To sum up, it is proposed by the invention based on color transfer and modified image rendering methods, it is opened from image space selection Begin to image colorant end of output, in the case where ensureing that color is not crossed the border, realize the diffusion of regional area color, reach color not Quick and precisely amendment purpose at consistent point.Color space is inconsistent after preferably overcoming the problems, such as coloring, realizes to target Automatic, the quick accurate coloring of gray level image, acquired results are better than the image rendering methods based on color transfer existing at present.
Embodiments of the present invention are explained in detail above in conjunction with attached drawing, but the present invention is not limited to above-mentioned implementations Mode, within the knowledge of a person skilled in the art, can also be under the premise of present inventive concept not be departed from It makes a variety of changes.

Claims (5)

1. one kind is based on source coloured image and target gray figure based on color transfer and modified image rendering methods, this method Picture, which is characterized in that including step:
Step 1, space conversion:YCbCr space is selected, target gray image is obtained by the conversion of rgb space to YCbCr space Interior any pixel point brightness and the component information of coloration, i.e., (Y, Cb, Cr);
Step 2 reads any one pixel t (Y in target gray imaget,Cbt,Crt), centered on pixel t, open L The window of × L, the Variance feature of window and discrete Fourier transform feature where determining the pixel;Using non local method, The selected pixels point s (Y in the coloured image of sources,Cbs,Crs), it is desirable that by the pixel s windows determined Variance feature and from Dissipate Fourier transformation feature and the pixel t determining window Variance features of institute and discrete Fourier transform feature in target gray image Under the index value asked for it is close;According to the chromatic value (Cb of pixel s in the source coloured images,Crs) in target gray image Chromatic value (the Cb of pixel tt,Crt) tentatively coloured, the step is repeated until preliminary colour each of target gray image Pixel;
Step 3, basis tentatively colour the chromatic value of pixel t and the original brightness value Y of the point in obtained target gray imaget, Coupling total variation model is established, specially:
In formula, the Ω is bounded image area;G is monotonic decreasing function;D is gradient operator, and Δ is Laplace operator;αi For weight parameter;GσFor Gaussian kernel;Y0Brightness value for target gray image;To use the obtained chromatic value of different characteristic; Λ is the function admissible space of the model, and V is any function in function admissible space;
Solve the optimal solution that coupling total variation model obtains pixel t chromatic values, optimal solution using the chromatic value acquired is as repairing Chromatic value after just, brightness value remain unchanged;
Step 4, repeating said steps 3 are modified each pixel t of target gray image and by revised pixel The image output of point composition, that is, complete the coloring to target gray image.
2. according to claim 1 based on color transfer and modified image rendering methods, which is characterized in that the step 1 It further includes and selected YCbCr space is normalized.
3. according to claim 1 based on color transfer and modified image rendering methods, which is characterized in that the step 2 Selected pixels point s is specifically included:
The sampling set being made of several pixels is chosen in the coloured image of source;
Calculate in the sampling set pixel the Variance feature of determining window and discrete Fourier transform feature, and choose it In with pixel t pixel similar in the index value asked under determining window Variance feature and discrete Fourier transform feature make For feasible solution;
Any one solution is selected from several feasible solutions as target solution, and extracts the pixel coloration corresponding to the target solution Value.
4. according to claim 1 based on color transfer and modified image rendering methods, which is characterized in that the step 3 Coupling total variation model is solved using ADM algorithms.
5. according to claim 4 based on color transfer and modified image rendering methods, which is characterized in that the ADM is calculated Method specifically includes:Coupling total variation model is changed into the convex programming problem of the linear convex set contrained of standard;Using ADM algorithms into Row alternating iteration, which solves, obtains optimal solution.
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