CN106127694A - The self adaptation two-way guarantor bandwidth logarithmic transformation method of uneven illumination image enhaucament - Google Patents

The self adaptation two-way guarantor bandwidth logarithmic transformation method of uneven illumination image enhaucament Download PDF

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CN106127694A
CN106127694A CN201610340343.1A CN201610340343A CN106127694A CN 106127694 A CN106127694 A CN 106127694A CN 201610340343 A CN201610340343 A CN 201610340343A CN 106127694 A CN106127694 A CN 106127694A
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logarithmic transformation
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bandwidth
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熊兴良
王体春
谢丹玫
王志芳
王颖
谢正祥
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Chongqing Medical University
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Abstract

A kind of self adaptation two-way guarantor bandwidth logarithmic transformation method of uneven illumination image enhaucament, it is characterised in that comprise the following steps: step 1: the image that Input illumination is uneven, and this image is standardized conversion;Step 2: mean flow rate AL of image after normalized conversion, and this image carried out two-way guarantor's bandwidth logarithmic transformation according to the value of AL: if AL < 127.5, the most reversely protect bandwidth logarithmic transformation, then carry out forward and protect bandwidth logarithmic transformation;Otherwise, the most first carry out forward and protect bandwidth logarithmic transformation, more reversely protect bandwidth logarithmic transformation;Step 3: round conversion;Step 4: output image.The invention have the characteristics that have enhancing dark space contrast and the advantage of clear zone contrast, reinforced effects is obvious, and background retains good, entirely without halation phenomenon, makes picture quality obtain overall enhancing.

Description

The self adaptation two-way guarantor bandwidth logarithmic transformation method of uneven illumination image enhaucament
Technical field
The invention belongs to digital image processing field, relate to a kind of quality enhancement method to uneven illumination image.
Background technology
Owing to the contrast sensitivity of too high or too low luminance picture is reduced by human vision, so needing crossing dark or mistake Bright image (or region) carries out contrast enhancing, in order to its details of perception.And the image of uneven illumination, existing highlight bar of crossing has again Too low dark space, general method effect is bad, and have there is also halation phenomenon.
At present, use and counting method is strengthened picture quality, be widely used in image procossing every field and ground Study carefully.In disclosed patent, such as: keep the defogging method (application number: CN101754032A) of color, a kind of reduction synthetic aperture thunder Reach the method (application number: CN101398487A) of smudges noise, the self-adapting enhancement method of a kind of degraded image under water (CN104766285A), etc..These methods be all use unidirectional (forward) logarithmic transformation as image pre-processing method, in conjunction with Mist elimination, denoising, the additive method such as anhydrate are for image enhaucament, and computational methods are complicated, process the time long, can strengthen non-primary image Information contained by.
In the document delivered, the document relating to image log conversion is more, mainly has LIP (logarithmic Image processing) family's (referring to various deformation and improvement based on LIP) method and RETINEX family (refer to Various deformation and improvement based on RETINEX) method.The unidirectional logarithmic transformation that these methods are the most only by, can only pull open Distance between the spectral line of gray/color spectrum (or referred to as rectangular histogram) low side (dark space), thus image low side (dark space) can only be improved Contrast, reach the purpose of picture superposition.Meanwhile, they also comprise the calculating of two image subtractions, it is possible to create negative Data, destroy the positive definite feature of image, and may introduce in source images and non-existent additional information, destroy fidelity Property, cause composition distortion.
Therefore, the defect that counting method carries out image enhaucament used at present is without reference to how improving high-end (clear zone) Contrast, and do not increase information contained in artwork (emphasizing fidelity).
Summary of the invention
It is an object of the invention to provide a kind of two-way guarantor of self adaptation for the visual quality of images enhancing of uneven illumination to carry Wide logarithmic transformation method, can not only improve the contrast of dark space, moreover it is possible to improves the contrast in clear zone, does not produce halation phenomenon, Reach preferably and do not increase the effect of image information image enhaucament.
To achieve the object of the present invention, the present invention proposes the self adaptation two-way guarantor bandwidth pair of a kind of uneven illumination image enhaucament Transformation of variables method, it it is critical only that and comprises the following steps:
Step 1: the image that Input illumination is uneven, and this image is standardized conversion, scheme after obtaining standardized transformation Picture;
The method of standardized transformation sees " the generation method of standardized images " (publication number: CN102800062A).Standard After changing conversion, image becomes the image with full bandwidth characteristic.This is the basis that the present invention implements.
Step 2: mean flow rate AL of image after normalized conversion, and according to the value of AL, this image is carried out two-way guarantor Bandwidth logarithmic transformation:
Mean flow rate AL is the auto-adaptive parameter of the present invention, different with image difference, it is not necessary to manually to set.
Described two-way guarantor's bandwidth logarithmic transformation, is protected bandwidth logarithmic transformation by forward and reverse bandwidth logarithmic transformation of protecting forms, The truth of a matter of described logarithmic transformation is 1.02198395689;
If AL < 127.5, the most reversely protect bandwidth logarithmic transformation, then carry out forward guarantor's bandwidth logarithmic transformation;
Otherwise, the most first carry out forward and protect bandwidth logarithmic transformation, more reversely protect bandwidth logarithmic transformation;
Step 3: the image after two-way guarantor's bandwidth logarithmic transformation is rounded conversion;
After image carries out two-way guarantor's bandwidth logarithmic transformation, the gray/color value of image becomes real number, it is impossible to meets image and shows The requirement shown, it is therefore desirable to carry out rounding conversion, becomes integer by the gray/color value of image.Round conversion and use four houses five The mode entered.
Step 4: output image.
Described forward is protected bandwidth logarithmic transformation and is carried out in the following manner:
Step one: to need to convert image f (x, y) carries out moving to right conversion, obtain the image F after moving to right conversion (x, y);
Described move to right conversion carry out as the following formula:
F (x, y)=SHIFTR1 [f (x, y)] and=f (x, y)+1
Wherein, SHIFTR1 [] represents the displacement operator moving to right 1 along x-axis;(x, y), (x y) is INTEGER MATRICES to f to F;f (x, y) in the codomain of element be 0~255, F (x, y) in the codomain of element become 1~256;
Step 2: (x, y) carries out forward logarithmic transformation, after obtaining forward logarithmic transformation by moving to right the image F after conversion Image
Described forward logarithmic transformation is carried out as the following formula:
Wherein, LOGa[] represents the operator taking the logarithm with a as the end;It it is real number matrix;A= 1.02198395689。
Described reverse guarantor's bandwidth logarithmic transformation is carried out in the following manner:
Step one: to need to convert image f (x, y) carry out mend conversion, it is thus achieved that complement as Ψ (x, y);
Described benefit conversion is carried out as the following formula:
Ψ (x, y)=255-f (x, y)
Wherein, (x, y), (x, y) is INTEGER MATRICES to f to Ψ, and in two INTEGER MATRICES, the codomain of element is 0~255;
Step 2: to complement as Ψ (x, y) carries out moving to right conversion, obtain the image F1 after moving to right conversion (x, y);
Described move to right conversion carry out as the following formula:
F1 (x, y)=SHIFTR1 [Ψ (x, y)] and=Ψ (x, y)+1
Wherein, SHIFTR1 [] represents the displacement operator moving to right 1 along x-axis;(x, y) is INTEGER MATRICES to F1, the value of element Territory becomes 1~256;
Step 3: (x, y) carries out forward logarithmic transformation, after obtaining forward logarithmic transformation by moving to right the image F1 after conversion Image
Described forward logarithmic transformation is carried out as the following formula:
Wherein, LOGa[] represents the operator taking the logarithm with a as the end;It it is real number matrix;A= 1.02198395689;
Step 4 is rightCarry out mending conversion by step one, obtain positive image.
Described positive image is for complement picture.Without the image mending conversion, it is believed that be positive image, to complement picture Again carrying out mending conversion, obtain is also positive image.
The gray/color of the pixel of general digital picture is at 0~255 value (so-called 8 systems), the table of logarithm of 0 Show uncertainty, so needing gradation of image/colourity spectrum is moved to right conversion, to eliminate logarithmic transformation before doing logarithmic transformation Uncertain.After moving to right conversion, the span of the gray/color value of image becomes 1~256 from 0~255.
Logarithmic transformation along the forward of x-axis is referred to as forward logarithmic transformation.Forward logarithmic transformation has increase gray/color spectrum low The function of end (dark picture areas) contrast.
Logarithmic transformation along the negative sense of x-axis is referred to as reverse logarithmic transformation.Reversely logarithmic transformation has increase gray/color spectrum high The function of end (image clear zone) contrast.Owing to the forward logarithmic transformation of complement picture is equivalent to the reverse logarithmic transformation of original image, Therefore, the reverse logarithmic transformation of image can realize by the forward logarithmic transformation of its complement picture, high-end to improve gray/color spectrum The contrast in (image clear zone).
The bandwidth of the gray/color spectrum of the image after logarithmic transformation changes with the change of logarithm truth of a matter a.Making logarithmic transformation Time, take truth of a matter a=1.02198395689, be the determiner realizing protecting bandwidth.
When following table gives a value difference, M=Loga256 and the Different Results of bandwidth:
As can be seen from the above table, a=1.02198395689 is a special logarithm truth of a matter, moves to right image after conversion After as the logarithmic transformation at the end, low side contrast promotes, and has automatically generated the operation moving to left, and gray/color spectrum is also Former one-tenth original tape wide 0~255.
The special logarithmic transformation with a=1.02198395689 as the end of image, is referred to as protecting bandwidth logarithmic transformation.Keep 0~ The maximum bandwidth of 255 provides for the probability with maximum-contrast.
The remarkable result of the present invention is: utilize standardized transformation, mean flow rate to calculate, move to right conversion, become by forward logarithm The guarantor's bandwidth change the two-way logarithmic transformation formed with reverse logarithmic transformation, being realized by the truth of a matter selecting logarithm converts this several sides Method, has carried out good potentiation to the image of uneven illumination.The method not only has enhancing dark space contrast and clear zone pair The ratio advantage of degree, reinforced effects is obvious, and background retains good, entirely without halation phenomenon, makes picture quality obtain overall increasing By force.
Accompanying drawing explanation
The flow chart of Fig. 1 present invention;
Fig. 2 (a-1), (b-1), (c-1) are the source images in embodiment 1;
Fig. 2 (a-2), (b-2), (c-2) are that Fig. 2 (a-1), (b-1), (c-1) are through self adaptation two-way guarantor bandwidth logarithm respectively Image after alternative approach conversion;
Fig. 2 (a-3), (b-3), (c-3) be Fig. 2 (a-1), (b-1), (c-1) through Zadeh-X (see the Chinese invention patent " end Tomographic image obtains the method for best quality image in excavating ", publication number: CN101419707) the enhanced image of method.
Detailed description of the invention
With specific embodiment, the present invention is described in further detail below in conjunction with the accompanying drawings.
Embodiment 1: flow process as shown in Figure 1: the self adaptation two-way guarantor bandwidth logarithm of a kind of uneven illumination image enhaucament becomes Change method, comprise the following steps:
Step 1: the image that Input illumination is uneven, and this image is standardized conversion, scheme after obtaining standardized transformation Picture;
The method of standardized transformation sees " the generation method of standardized images " (publication number: CN102800062A).
Step 2: mean flow rate AL of image after normalized conversion, and according to the value of AL, this image is carried out two-way guarantor Bandwidth logarithmic transformation:
Mean flow rate AL is the auto-adaptive parameter of the present invention;
Described two-way guarantor's bandwidth logarithmic transformation, is protected bandwidth logarithmic transformation by forward and reverse bandwidth logarithmic transformation of protecting forms, The truth of a matter of described logarithmic transformation is 1.02198395689;
If AL < 127.5, the most reversely protect bandwidth logarithmic transformation, then carry out forward guarantor's bandwidth logarithmic transformation;
Otherwise, the most first carry out forward and protect bandwidth logarithmic transformation, more reversely protect bandwidth logarithmic transformation.
Described forward is protected bandwidth logarithmic transformation and is carried out in the following manner:
Step one: to need to convert image f (x, y) carries out moving to right conversion, obtain the image F after moving to right conversion (x, y);
Described move to right conversion carry out as the following formula:
F (x, y)=SHIFTR1 [f (x, y)] and=f (x, y)+1
Wherein, SHIFTR1 [] represents the displacement operator moving to right 1 along x-axis;(x, y), (x y) is INTEGER MATRICES to f to F;f (x, y) in the codomain of element be 0~255, F (x, y) in the codomain of element become 1~256;
Step 2: (x, y) carries out forward logarithmic transformation, after obtaining forward logarithmic transformation by moving to right the image F after conversion Image
Described forward logarithmic transformation is carried out as the following formula:
Wherein, LOGa[] represents the operator taking the logarithm with a as the end;It it is real number matrix;A= 1.02198395689。
Described reverse guarantor's bandwidth logarithmic transformation is carried out in the following manner:
Step one: to need to convert image f (x, y) carry out mend conversion, it is thus achieved that complement as Ψ (x, y);
Described benefit conversion is carried out as the following formula:
Ψ (x, y)=255-f (x, y)
Wherein, (x, y), (x, y) is INTEGER MATRICES to f to Ψ, and in two INTEGER MATRICES, the codomain of element is 0~255;
Step 2: to complement as Ψ (x, y) carries out moving to right conversion, obtain the image F1 after moving to right conversion (x, y);
Described move to right conversion carry out as the following formula:
F1 (x, y)=SHIFTR1 [Ψ (x, y)] and=Ψ (x, y)+1
Wherein, SHIFTR1 [] represents the displacement operator moving to right 1 along x-axis;(x, y) is INTEGER MATRICES to F1, the value of element Territory becomes 1~256;
Step 3: (x, y) carries out forward logarithmic transformation, after obtaining forward logarithmic transformation by moving to right the image F1 after conversion Image
Described forward logarithmic transformation is carried out as the following formula:
Wherein, LOGa[] represents the operator taking the logarithm with a as the end;It it is real number matrix;A= 1.02198395689;
Step 4 is rightCarry out mending conversion by step one, obtain positive image.
Described positive image be relative to complement picture (or referred to as negative image, negative-appearing image, negative film) for.Without the figure mending conversion Picture, it is believed that be positive image, carries out complement picture mending conversion again, and obtain is also positive image.
Step 3: the image after two-way guarantor's bandwidth logarithmic transformation is rounded conversion;Round what conversion employing rounded up Mode.
Step 4: output image.
Following table lists figure (a-1), (b-1), (c-1) and they are through the change of self adaptation two-way guarantor bandwidth logarithmic transformation method Change rear image (a-2), (b-2), (c-2) average information entropy AIE, average contrast AC, mean flow rate AL, image quality evaluation letter Number CAF, the calculating of above parameter may refer to patent of invention " color image quality evaluation method " (publication number: CN101650833B):
Image Name AL AC AIE CAF
Figure (a-1) 20.9768 1.4426 5.2593 2.2911
Figure (a-2) 125.0448 2.7961 5.0680 9.4114
Figure (b-1) 55.4095 2.3309 6.1054 9.6815
Figure (b-2) 106.4465 3.3353 5.8744 11.9728
Figure (c-1) 198.2702 3.9892 5.8298 15.6336
Figure (c-2) 138.4668 4.6323 5.2832 16.7722
From upper table it will be seen that source images (a-1), (b-1) mean flow rate AL all < 127.5, therefore use the most reversely Guarantor's bandwidth logarithmic transformation of rear forward.After conversion, (AIE) drops in basic parameter two liters (AC, AL).Visual quality of images strengthens, The inverse process of natural process (deteriroation of image quality, such as sound pollution, fuzzy, make AIE increase), AIE should reduce and can not Increase.Visual quality of images evaluating (CAF) raises, and points out total visual quality to increase.
It can also be seen that use the enhanced image of Zadeh-X method to have halation phenomenon (figure (a-3) You Ming from Fig. 2 Aobvious), dark space strengthens deficiency, and background disappears (figure (b-3) is the most obvious).Scheme after the conversion of self adaptation two-way guarantor bandwidth logarithmic transformation method As (figure (a-2) and figure (b-2)) dark space contrast and brightness strengthen substantially, background retains good, entirely without halation phenomenon, overall Picture quality is remarkably reinforced.
As shown above, mean flow rate AL of source images (c-1) > 127.5, belong to high brightness (AL=198.2702) illumination Uneven image.It is thus desirable to use the most reverse guarantor's bandwidth logarithmic transformation, after conversion, the information of image is to reduce (comentropy from the 5.8298 of source images, reduce to after the conversion of self adaptation two-way guarantor bandwidth logarithmic transformation method the 5.2832 of image), Because this is inverse natural process.Transformation results visual quality of images evaluating (CAF) raises (15.6336/16.7722), carries Show that total visual quality increases.Brightness is to reduce (198.2702/138.4668), levels off to ideal value 127.5.
Image shown in Fig. 2 (c-3) has obvious halation phenomenon, and clear zone strengthens deficiency, and contrast is low.Fig. 2 (c-2) substantially carries on the back Scape contrast strengthens, and entirely without halation phenomenon, overall image quality strengthens.

Claims (3)

1. the self adaptation of a uneven illumination image enhaucament two-way guarantor bandwidth logarithmic transformation method, it is characterised in that include following step Rapid:
Step 1: the image that Input illumination is uneven, and this image is standardized conversion, obtain image after standardized transformation;
Step 2: mean flow rate AL of image after normalized conversion, and according to the value of AL, this image carried out two-way guarantor's bandwidth Logarithmic transformation:
Described two-way guarantor's bandwidth logarithmic transformation, is protected bandwidth logarithmic transformation by forward and reverse bandwidth logarithmic transformation of protecting forms, described The truth of a matter of logarithmic transformation is 1.02198395689;
If AL < 127.5, the most reversely protect bandwidth logarithmic transformation, then carry out forward guarantor's bandwidth logarithmic transformation;
Otherwise, the most first carry out forward and protect bandwidth logarithmic transformation, more reversely protect bandwidth logarithmic transformation;
Step 3: the image after two-way guarantor's bandwidth logarithmic transformation is rounded conversion;
Step 4: output image.
The self adaptation two-way guarantor bandwidth logarithmic transformation method of uneven illumination image enhaucament the most according to claim 1, it is special Levy and be to comprise the following steps: that described forward is protected bandwidth logarithmic transformation and carried out in the following manner:
Step one: to need to convert image f (x, y) carries out moving to right conversion, obtain the image F after moving to right conversion (x, y);
Described move to right conversion carry out as the following formula:
F (x, y)=SHIFTR1 [f (x, y)]
Wherein, SHIFTR1 [] represents the displacement operator moving to right 1 along x-axis;(x, y), (x y) is INTEGER MATRICES to f to F;f(x,y) The codomain of middle element is 0~255, F (x, y) in the codomain of element become 1~256;
Step 2: (x, y) carries out forward logarithmic transformation, obtains the image after forward logarithmic transformation by moving to right the image F after conversion
Described forward logarithmic transformation is carried out as the following formula:
Wherein, LOGa[] represents the operator taking the logarithm with a as the end;It it is real number matrix;A=1.02198395689.
The self adaptation two-way guarantor bandwidth logarithmic transformation method of uneven illumination image enhaucament the most according to claim 1, it is special Levy and be to comprise the following steps: that described reverse guarantor's bandwidth logarithmic transformation is carried out in the following manner:
Step one: to need to convert image f (x, y) carry out mend conversion, it is thus achieved that complement as Ψ (x, y);
Described benefit conversion is carried out as the following formula:
Ψ (x, y)=255-f (x, y)
Wherein, (x, y), (x, y) is INTEGER MATRICES to f to Ψ, and in two INTEGER MATRICES, the codomain of element is 0~255;
Step 2: to complement as Ψ (x, y) carries out moving to right conversion, obtain the image F1 after moving to right conversion (x, y);
Described move to right conversion carry out as the following formula:
F1 (x, y)=SHIFTR1 [Ψ (x, y)]
Wherein, SHIFTR1 [] represents the displacement operator moving to right 1 along x-axis;(x, y) is INTEGER MATRICES to F1, and the codomain of element becomes It is 1~256;
Step 3: (x, y) carries out forward logarithmic transformation, obtains the image after forward logarithmic transformation by moving to right the image F1 after conversion
Described forward logarithmic transformation is carried out as the following formula:
Wherein, LOGa[] represents the operator taking the logarithm with a as the end;It it is real number matrix;A= 1.02198395689;
Step 4 is rightCarry out mending conversion by step one, obtain positive image.
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