CN106910179B - Multimode medical image fusion method based on wavelet transformation - Google Patents

Multimode medical image fusion method based on wavelet transformation Download PDF

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CN106910179B
CN106910179B CN201710046867.4A CN201710046867A CN106910179B CN 106910179 B CN106910179 B CN 106910179B CN 201710046867 A CN201710046867 A CN 201710046867A CN 106910179 B CN106910179 B CN 106910179B
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CN106910179A (en
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章世平
王晓芳
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Kaben Shenzhen Medical Equipment Co ltd
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Cabin (shenzhen) Medical Technology Co Ltd
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06TIMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T5/00Image enhancement or restoration
    • G06T5/50Image enhancement or restoration by the use of more than one image, e.g. averaging, subtraction
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06TIMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T2207/00Indexing scheme for image analysis or image enhancement
    • G06T2207/10Image acquisition modality
    • G06T2207/10072Tomographic images
    • G06T2207/10081Computed x-ray tomography [CT]
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06TIMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T2207/00Indexing scheme for image analysis or image enhancement
    • G06T2207/20Special algorithmic details
    • G06T2207/20048Transform domain processing
    • G06T2207/20064Wavelet transform [DWT]

Abstract

A kind of multimode medical image fusion method based on adaptive wavelet packet transform, the following steps are included: S1, using adaptive wavelet packet transform filter carrying out wavelet transformation to the medical images of different modalities, aforementioned image is separately disassembled into the component that high frequency, low frequency and low-and high-frequency combine;S2, the component combined to high frequency, low frequency and the low-and high-frequency that any two width different modalities medical image decomposes are overlapped, and obtain the component that the high frequency, low frequency and low-and high-frequency of blending image combine;S3, the component combined to the high frequency, low frequency and low-and high-frequency of blending image carry out discrete wavelet inverse transform, obtain the blending image of original size.Wavelet transformation technique is applied in field of image processing by the present invention, adaptive wavelet packet transform can effectively Lifting Wavelet coefficient to the details susceptibility of low frequency component, so that it is more accurate further to decompose obtained high frequency, low frequency component, so that syncretizing effect gets a promotion.

Description

Multimode medical image fusion method based on wavelet transformation
Technical field
The present invention relates to medical field, the side that multi-modality medical image is merged in particular by image processing techniques Method, specifically a kind of multimode medical image fusion method based on wavelet transformation.
Background technique
Currently, occurring many elder generations in the world as computer science and technology and medical treatment influence the fast development of engineering science Into medical imaging device, for clinical medicine diagnosis provide the medical image of multiple modalities, these images are anti-from different aspect The different information of organization of human body, internal organs and pathological tissues are reflected.
For example CT (Computed Tomography) image has stronger spatial resolution and geometrical property, to bone Imaging it is very clear, it can provide preferable reference to lesion localization, but then relatively low to the contrast of soft tissue.MR (Magnetic Resonance) image can clearly reflect the anatomical structure of soft tissue, organ, blood vessel etc., be conducive to determine Lesion range, but MR image is insensitive to calcification point, and geometric distortion can be occurred by magnetic disturbance.SPEC, PET image can obtain Radioactive concentration to human body any angle fault plane is distributed, and can reflect the metaboilic level and blood flow state of histoorgan, right " hot spot " is presented in neoplastic lesion, provides the functional information of human body, but their resolution ratio is poor, hardly results in accurate dissection knot Structure is also not easy to differentiate the boundary of tissue, organ.It can be seen that different imaging techniques have the advantage of itself also while possessing one A little limitations, these images to the obtained form of the same anatomical structure of human body and functional information be each other difference, complement one another 's.
In clinical diagnosis, the image of single mode tends not to enough information required for providing doctor, therefore, if The medical image of different modalities can be subjected to fusion appropriate, combine anatomic information and functional information organically, one The information from a variety of imaging sources is synthetically expressed simultaneously on width image, so that doctor understands the synthesis feelings of pathological tissues or organ Condition, and make more accurate diagnosis or make the therapeutic scheme of more scientific optimization, this will push modern medicine clinical The huge advance of technology.
The characteristics of for different modalities medical image, in order to preferably merge the important information of different images, we Propose the multimode medical image fusion method based on adaptive wavelet packet transform.Under the premise of image energy feature calculation, from It adapts to selection optimal wavelet coefficient and carries out wavelet transformation, so that wavelet transformation can be effectively by the background of image and details It distinguishes, under adjustable weight, the high and low frequency information of two secondary different modalities images is folded according to different proportion Add, fast and efficiently completes fusion process.
Summary of the invention
The purpose of the present invention is aiming at the problem that image co-registration, propose a kind of multi-modality medical image based on wavelet transformation Fusion method.
The technical scheme is that
A kind of multimode medical image fusion method based on adaptive wavelet packet transform, it the following steps are included:
S1, wavelet transformation is carried out using medical image of the adaptive wavelet packet transform filter to different modalities, by aforementioned image It is separately disassembled into the component that high frequency, low frequency and low-and high-frequency combine;
The component that S2, the high frequency decomposed to any two width different modalities medical image, low frequency and low-and high-frequency combine into Row superposition obtains the component that the high frequency, low frequency and low-and high-frequency of blending image combine;
S3, the component combined to the high frequency, low frequency and low-and high-frequency of blending image carry out discrete wavelet inverse transform, obtain original The blending image of size.
In step S1 of the invention, low frequency component is decomposed again according to scale demand.
Step S1 of the invention specifically:
S1.1, wavelet structure base filter bank, i.e., based on meeting orthogonality condition fixed length wavelet filter, different Multiple filter coefficient building wavelet basis filter banks are obtained under initial condition, and one is randomly choosed in wavelet basis filter bank Filter coefficient is as initialization filter;
S1.2, first layer decomposition point is obtained using medical image progress wavelet transformation of the initialization filter to multiple mode Amount passes through the low frequency in wavelet transform acquisition image low frequency component LL1 in the horizontal and vertical directions, horizontal direction With the high fdrequency component LH1 in vertical direction, the low frequency component HL1 on the high frequency and vertical direction in horizontal direction and level and High fdrequency component HH1 in vertical direction;
S1.3, filter coefficient is selected in wavelet basis filter bank according to the fluctuation of the Energy distribution and texture of image again To step S1.2 obtain first layer decomposed component in low frequency component LL1 carry out second of wavelet transformation, obtain LL2, HH2, HL2, LH2 repeat step S1.3 several times, complete picture breakdown.
In step S1.3 of the invention, repeat step S1.3 and carry out the number of picture breakdown to be 3-5 times.
In step S1.3 of the invention, selected in wavelet basis filter bank according to the Energy distribution of image and texture fluctuation Filter coefficient method particularly includes:
S1.3-1, to image carry out organ extraction the step of:
Four components in current decomposition component are handled, extract human organ from the background of black, Human organ is specifically extracted using image partition method, or human organ image is extracted using the method for setting boundary threshold HLo and LHo;
S1.3-2, the step of image texture characteristic parameter is calculated:
Lateral image least energy Eh, longitudinal image least energy Ev, lateral image are calculated using following formula The minimum very poor Eq of minimum very poor Ep, longitudinal image, transverse direction lines maximum fluctuation value Em and
Longitudinal lines maximum fluctuation value En;
Eh=min (max (| HLo |)) (1)
Ev=min (max (| LHo |)) (2)
Ep=min (max (| HLo |)-min (| HLo |)) (3)
Eq=min (max (| LHo |)-min (| LHo |)) (4)
Wherein, HLo indicates the corresponding human body device extracted of the high fdrequency component LH1 on the low frequency and vertical direction in horizontal direction Official's image, LHo indicate the corresponding human organ figure extracted of low frequency component HL1 on high frequency and vertical direction in horizontal direction Picture;I, j represents the serial number of row, and i ', j ' represent the serial number of column;S1.3-3, it is obtained according to aforementioned six image texture characteristic parameters Wavelet basis filter coefficient.
In step S1.3-3 of the invention, wavelet basis filter coefficient acquisition methods are as follows: obtained according to step S1.3-2 Six image texture characteristic parameters obtain wavelet basis filter coefficient, preferably genetic programming algorithm using optimization algorithm.
In step S1.3-3 of the invention, wavelet basis filter coefficient acquisition methods are as follows: a certain amount of sample image is extracted, The table of comparisons for establishing six characteristic indexs and wavelet basis filter coefficient is obtained in real-time calculate according to step S1.3-2 Six image texture characteristic parameter controls search and obtain corresponding wavelet basis filter coefficient.
In step S1.3-1 of the invention, human organ is extracted using the method for setting boundary threshold and specifically includes following step It is rapid:
To as the high fdrequency component LHn on the low frequency and vertical direction in the previous horizontal direction decomposed and obtained, horizontal direction On high frequency and vertical direction on low frequency component HLn two subgraphs carry out operations described below, respectively obtain organic image HLo And LHo:
As sum (| Row |) > Threshold1, retains current line pixel data and otherwise make current line pixel data For background, the row data are deleted;
As sum (| Column |) > Threshold2, retain when otherwise forefront pixel data will work as forefront pixel data As background, the row data are deleted;
Wherein, Row is the pixel of row, and Column is the pixel of column, and Threshold1, Threshold2 are organ mould respectively The corresponding parameter threshold of type.
In step S2 of the invention, two width different modalities medical images are decomposed to obtain high frequency, low frequency and low-and high-frequency combination Component be overlapped under certain weight, obtain blending image high frequency, low frequency and low-and high-frequency combine component, specifically:
S2.1, it is merged with subgraph of certain weight to any two mode medical image after decomposition, according to The corresponding principle being added of low-and high-frequency carries out, wherein the arbitrary small number between the fusion weight W selection 0.1~0.9 of a sub-picture, separately Outer one secondary fusion weight is 1-W;
S2.2, the decomposition result AHHn, ALLn, AHLn, ALHn and BHHn to different modalities image A and B, BLLn, BHLn, BLHn is overlapped operation, and n represents n-th layer decomposition, obtains four component Fs HHn, FLLn, FHLn and FLHn of blending image F:
FHHn=wHH*AHHn+ (1-wHH) * BHHn;WHH is that high frequency merges weight
FLLn=wLL*ALLn+ (1-wLL) * BLLn;WLL is that low frequency merges weight
FHLn=wHL*AHLn+ (1-wHL) * BHLn;WHL is that low-and high-frequency merges weight
FLHn=wLH*ALHn+ (1-wLH) * BLHn;WLH is that low high frequency merges weight.
Beneficial effects of the present invention:
Wavelet transformation technique is applied in field of image processing by the present invention, and adaptive wavelet packet transform can effective Lifting Wavelet Coefficient is to the details susceptibility of low frequency component, so that it is more accurate further to decompose obtained high frequency, low frequency component, so that Syncretizing effect gets a promotion;For the process for the adaptive wavelet packet transform coefficient analysis that medical image feature carries out, organ has been distinguished Image and invalid background effectively improve the reliability of wavelet coefficient, and the method can form effective combination with medical big data, Form the stronger medical image segmentation of robustness based on organ model, analysis model.
Detailed description of the invention
Fig. 1 is structural schematic diagram of the invention.
Fig. 2 is that image energy feature of the invention compares schematic diagram with wavelet coefficient.
Fig. 3 is quickly to distinguish the organ of medical image and the schematic diagram of background using threshold decision in the present invention.
Fig. 4 is the image schematic diagram that texture analysis obtains in the present invention.
Specific embodiment
The present invention is further illustrated with reference to the accompanying drawings and examples.
As shown in Figs 1-4, a kind of multimode medical image fusion method based on adaptive wavelet packet transform, it includes following step It is rapid:
S1, wavelet transformation is carried out using medical image of the adaptive wavelet packet transform filter to different modalities, by aforementioned image It is separately disassembled into the component that high frequency, low frequency and low-and high-frequency combine;
The component that S2, the high frequency decomposed to any two width different modalities medical image, low frequency and low-and high-frequency combine into Row superposition obtains the component that the high frequency, low frequency and low-and high-frequency of blending image combine;
S3, the component combined to the high frequency, low frequency and low-and high-frequency of blending image carry out discrete wavelet inverse transform, obtain original The blending image of size;
In step S1 of the invention, low frequency component is decomposed again according to scale demand.
Step S1 of the invention specifically:
S1.1, wavelet structure base filter bank, i.e., based on meeting orthogonality condition fixed length wavelet filter, different Multiple filter coefficient building wavelet basis filter banks are obtained under initial condition, and one is randomly choosed in wavelet basis filter bank Filter coefficient is as initialization filter;
S1.2, first layer decomposition point is obtained using medical image progress wavelet transformation of the initialization filter to multiple mode Amount obtains image both horizontally and vertically by wavelet transform (Discrete Wavelet Transform, DWT) On low frequency component LL1, the high fdrequency component LH1 on low frequency and vertical direction in horizontal direction, the high frequency in horizontal direction and Low frequency component HL1 in vertical direction and both horizontally and vertically on high fdrequency component HH1;
S1.3, filter coefficient is selected in wavelet basis filter bank according to the fluctuation of the Energy distribution and texture of image again To step S1.2 obtain first layer decomposed component in low frequency component LL1 carry out second of wavelet transformation, obtain LL2, HH2, HL2, LH2 repeat step S1.3 several times, complete picture breakdown.
In step S1.3 of the invention, repeat step S1.3 carry out picture breakdown number be 3-5 time, syncretizing effect with It can achieve equalization point in computational efficiency, be the 1/4 of current layer due to decomposing image size reduction every time, so stock size is very Big image just will use 5 layers or more of decomposition and real-time is not high, and 3 layers of syncretizing effect below can be relatively weaker;For Larger size image can choose 5 layers of decomposition, and 3 layers of smaller size image selection decomposition also can choose 4 layers and decompose as one Equalization point.
According to medical image energy statistics: since medical image is usually gray level image, background is with noisy black Background, prospect are the human organ observed, in step S1.3, according to the Energy distribution of image and texture fluctuation small Filter coefficient is selected in wave base filter bank method particularly includes:,
S1.3-1, to image carry out organ extraction the step of:
Four components in current decomposition component are handled, extract human organ from the background of black, Human organ is specifically extracted using image partition method, or human organ image is extracted using the method for setting boundary threshold HLo and LHo;
S1.3-2, the step of image texture characteristic parameter is calculated:
Lateral image least energy Eh, longitudinal image least energy Ev, lateral image are calculated using following formula The minimum very poor Eq of minimum very poor Ep, longitudinal image, transverse direction lines maximum fluctuation value Em and longitudinal lines maximum fluctuation value En; (image energy parameter Eh, Ev are calculated, qualifications are set as with the sub- energy minimum of the high pass of image, enable to small echo base system Number comes out unity and coherence in writing feature instantiation, improves the sensibility to detailed information;The wavelet coefficient that image static state obtains after decomposing is maximum Value Ep, Eq, the wavelet coefficient distribution to downscaled images;Horizontal, longitudinal lines maximum fluctuation Em, En, that is, image row, column ash The difference of the sum of angle value reflects the relationship of wavelet basis and grain details)
Eh=min (max (| HL0 |)) (1)
Ev=min (max (| LH0 |)) (2)
Ep=min (max (| HL0 |)-min (| HL0 |)) (3)
Eq=min (max (| LH0 |)-min (| LH0 |)) (4)
Wherein, HLo indicates the corresponding human body device extracted of the high fdrequency component LH1 on the low frequency and vertical direction in horizontal direction Official's image, LHo indicate the corresponding human organ figure extracted of low frequency component HL1 on high frequency and vertical direction in horizontal direction Picture;I, j represents the serial number of row, and i ', j ' represent the serial number of column;S1.3-3, it is obtained according to aforementioned six image texture characteristic parameters Wavelet basis filter coefficient.
Image texture reflects that the visual signature of homogeneity phenomenon in image, Fig. 4 clearly show that texture region expresses figure The important features such as edge, change of gradient of main target as in;We are using 6 energy of S1.3-2 and texture formula as preferably Qualifications, thus the filter of selected suitable target texture image.Mainly preferred method are as follows: according to aforementioned six image textures Characteristic parameter obtains wavelet basis filter coefficient using genetic programming algorithm.
In step S1.3-3 of the invention, wavelet basis filter coefficient acquisition methods are as follows: a certain amount of sample image is extracted, The table of comparisons for establishing 6 characteristic indexs and wavelet basis filter coefficient carries out directly control when real-time calculate and searches.
As shown in figure 3, horizontal line is the calculating to row pixel, ordinate is the calculating to column pixel, although the method is rough Organ general image is extracted, but it is highly effective in terms of guaranteeing to calculate real-time, in step S1.3-1, using setting Set boundary threshold method extract human organ specifically includes the following steps:
To as the high fdrequency component LHn on the low frequency and vertical direction in the previous horizontal direction decomposed and obtained, horizontal direction On high frequency and vertical direction on low frequency component HLn two subgraphs carry out operations described below, respectively obtain organic image HLo And LHo:
As sum (| Row |) > Threshold1, retains current line pixel data and otherwise make current line pixel data For background, the row data are deleted;
As sum (| Column |) > Threshold2, retain when otherwise forefront pixel data will work as forefront pixel data As background, the row data are deleted;
Wherein, Row is the pixel of row, and Column is the pixel of column, and Threshold1, Threshold2 are organ mould respectively The corresponding parameter threshold of type.
In step S2 of the invention, two width different modalities medical images are decomposed to obtain high frequency, low frequency and low-and high-frequency combination Component be overlapped under certain weight, obtain blending image high frequency, low frequency and low-and high-frequency combine component, specifically:
S2.1, it is merged with subgraph of certain weight to any two mode medical image after decomposition, according to The corresponding principle being added of low-and high-frequency carries out, and by taking any two width different modalities medical image as an example, the fusion weight W of a sub-picture can To select the arbitrary small number between 0.1~0.9, in addition a secondary fusion weight is 1-W;
S2.2, the decomposition result AHHn, ALLn, AHLn, ALHn and BHHn to different modalities image A and B, BLLn, BHLn, BLHn is overlapped operation, and n represents n-th layer decomposition, if blending image is F:
FHHn=wHH*AHHn+ (1-wHH) * BHHn;WHH is that high frequency merges weight
FLLn=wLL*ALLn+ (1-wLL) * BLLn;WLL is that low frequency merges weight
FHLn=wHL*AHLn+ (1-wHL) * BHLn;WHL is that low-and high-frequency merges weight
FLHn=wLH*ALHn+ (1-wLH) * BLHn;WLH is that low high frequency merges weight.
Part that the present invention does not relate to is the same as those in the prior art or can be realized by using the prior art.

Claims (7)

1. a kind of multimode medical image fusion method based on wavelet transformation, it is characterized in that it the following steps are included:
S1, wavelet transformation is carried out using medical image of the adaptive wavelet packet transform filter to different modalities, aforementioned image is distinguished It is decomposed into the component that high frequency, low frequency and low-and high-frequency combine;
S2, the component combined to high frequency, low frequency and the low-and high-frequency that any two width different modalities medical image decomposes are folded Add, obtains the component that the high frequency, low frequency and low-and high-frequency of blending image combine;
S3, the component combined to the high frequency, low frequency and low-and high-frequency of blending image carry out discrete wavelet inverse transform, obtain original size Blending image;
The step S1 specifically:
S1.1, wavelet structure base filter bank, i.e., based on meeting orthogonality condition fixed length wavelet filter, in different initial values Under the conditions of obtain multiple filter coefficients building wavelet basis filter banks, a filtering is randomly choosed in wavelet basis filter bank Device coefficient is as initialization filter;
S1.2, first layer decomposed component is obtained using medical image progress wavelet transformation of the initialization filter to multiple mode, I.e. by wavelet transform obtain image low frequency component LL1 in the horizontal and vertical directions, the low frequency in horizontal direction and It low frequency component HL1 on the high frequency and vertical direction on high fdrequency component LH1, horizontal direction and level in vertical direction and hangs down The upward high fdrequency component HH1 of histogram;
S1.3, select filter coefficient to step again in wavelet basis filter bank according to the fluctuation of the Energy distribution and texture of image The low frequency component LL1 in first layer decomposed component that rapid S1.2 is obtained carries out second of wavelet transformation, obtain LL2, HH2, HL2, LH2 repeats step S1.3 several times, completes picture breakdown;
In the step S1.3, filter is selected in wavelet basis filter bank according to the Energy distribution of image and texture fluctuation Coefficient method particularly includes:
S1.3-1, to image carry out organ extraction the step of:
Four components in current decomposition component are handled, are extracted human organ from the background of black, specifically Using image partition method extract human organ, or using setting boundary threshold method extract human organ image HLo and LHo;
S1.3-2, the step of image texture characteristic parameter is calculated:
It is minimum that lateral image least energy Eh, longitudinal image least energy Ev, lateral image are calculated using following formula The minimum very poor Eq of very poor Ep, longitudinal image, transverse direction lines maximum fluctuation value Em and longitudinal lines maximum fluctuation value En;
Eh=min (max (| HLo |)) (1)
Ev=min (max (| LHo |)) (2)
Ep=min (max (| HLo |)-min (| HLo |)) (3)
Eq=min (max (| LHo |)-min (| LHo |)) (4)
Wherein, HLo indicates the corresponding human organ figure extracted of the high fdrequency component LH1 on the low frequency and vertical direction in horizontal direction Picture, LHo indicate the corresponding human organ image extracted of low frequency component HL1 on high frequency and vertical direction in horizontal direction;i,j The serial number of row is represented, i ', j ' represent the serial number of column;S1.3-3, wavelet basis is obtained according to aforementioned six image texture characteristic parameters Filter coefficient.
2. the multimode medical image fusion method according to claim 1 based on wavelet transformation, it is characterized in that described In step S1, low frequency component is decomposed again according to scale demand.
3. the multimode medical image fusion method according to claim 1 based on wavelet transformation, it is characterized in that described In step S1.3, repeat step S1.3 and carry out the number of picture breakdown to be 3-5 times.
4. the multimode medical image fusion method according to claim 1 based on wavelet transformation, it is characterized in that described In step S1.3-3, wavelet basis filter coefficient acquisition methods are as follows: six image texture characteristics obtained according to step S1.3-2 Parameter obtains wavelet basis filter coefficient using genetic programming algorithm.
5. the multimode medical image fusion method according to claim 1 based on wavelet transformation, it is characterized in that described In step S1.3-3, wavelet basis filter coefficient acquisition methods are as follows: extract suitable sample image, establish six image texture spies The table of comparisons for levying parameter and wavelet basis filter coefficient, in real-time calculate, according to six image lines of step S1.3-2 acquisition It manages characteristic parameter control and searches the corresponding wavelet basis filter coefficient of acquisition.
6. the multimode medical image fusion method according to claim 1 based on wavelet transformation, it is characterized in that described In step S1.3-1, using setting boundary threshold method extract human organ specifically includes the following steps:
To when on the low frequency and vertical direction in the previous horizontal direction decomposed and obtained high fdrequency component LHn, in horizontal direction Two subgraphs of low frequency component HLn on high frequency and vertical direction carry out operations described below, respectively obtain organic image HLo and LHo:
As sum (| Row |) > Threshold1, retain current line pixel data, otherwise, using current line pixel data as carrying on the back Scape deletes the row data;
As sum (| Column |) > Threshold2, retain when otherwise forefront pixel data will work as the conduct of forefront pixel data Background deletes the column data;
Wherein, Row is the pixel of row, and Column is the pixel of column, and Threshold1, Threshold2 are organ model pair respectively The parameter threshold answered.
7. the multimode medical image fusion method according to claim 1 based on wavelet transformation, it is characterized in that described In step S2, two width different modalities medical images are decomposed to obtain component that high frequency, low frequency and low-and high-frequency combine in certain weight Under be overlapped, obtain blending image high frequency, low frequency and low-and high-frequency combine component, specifically:
S2.1, it is merged with subgraph of certain weight to any two mode medical image after decomposition, according to height The corresponding principle being added of frequency carries out, and wherein the fusion weight W of piece image selects the arbitrary small number between 0.1~0.9, and in addition one It is 1-W that width, which merges weight,;
S2.2, the decomposition result AHHn, ALLn, AHLn, ALHn and BHHn to different modalities image A and B, BLLn, BHLn, BLHn It is overlapped operation, n represents n-th layer decomposition, obtains four component Fs HHn, FLLn, FHLn and FLHn of blending image F:
FHHn=wHH*AHHn+ (1-wHH) * BHHn;WHH is that high frequency merges weight
FLLn=wLL*ALLn+ (1-wLL) * BLLn;WLL is that low frequency merges weight
FHLn=wHL*AHLn+ (1-wHL) * BHLn;WHL is that low-and high-frequency merges weight
FLHn=wLH*ALHn+ (1-wLH) * BLHn;WLH is that low high frequency merges weight.
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