CN104517270A - Terahertz image processing method and system - Google Patents

Terahertz image processing method and system Download PDF

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CN104517270A
CN104517270A CN201410831068.4A CN201410831068A CN104517270A CN 104517270 A CN104517270 A CN 104517270A CN 201410831068 A CN201410831068 A CN 201410831068A CN 104517270 A CN104517270 A CN 104517270A
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image
terahertz
filtering
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pixel
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刘艺青
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SHENZHEN YITI TERAHERTZ TECHNOLOGY Co Ltd
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SHENZHEN YITI TERAHERTZ TECHNOLOGY Co Ltd
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Abstract

The invention relates to a terahertz image processing method and system. The processing method comprises the following steps: conducting median filtering on a terahertz image for noise reduction; conducting nonlocal filtering, frequency domain high-pass filtering, edge processing and superposition processing, wherein the nonlocal filtering adopted is different from domain filtering adopted in certain methods, the nonlocal filtering has better resistance against noise, and the part filtered out contains less geometrical structural information; while domain filtering can filter out speckle noise to a certain degree, edge information is more obscure.

Description

A kind of Terahertz image processing method and system
Technical field
The present invention relates to a kind of Terahertz image processing method and system, particularly relate to a kind of disposal route and system of Terahertz image enhaucament.
Background technology
The reason affecting Terahertz image resolution ratio and sharpness has a lot, and one of them is exactly because laser power shake causes terahertz emission intensity to change, thus causes the shake that Terahertz gradation of image distributes, and namely there is obvious speck.And simultaneously may be comparatively dark along with image background, the problem that contrast is not strong.This patent adopts non-local filtering and Butterworth frequency domain filtering to realize denoising and the enhancing of Terahertz image.The noise reduction of terahertz imaging and enhancing have many methods.Conventional have based on the noise reduction of wavelet transformation, rim detection and enhancing etc.But these methods are usually directed to more complicated mathematical operation, lack versatility and intuitive.
Summary of the invention
The technical matters that the present invention solves is: build a kind of Terahertz image processing method and system, overcome prior art Terahertz image procossing and be usually directed to more complicated mathematical operation, lacks versatility and intuitive.
Technical scheme of the present invention is: provide a kind of Terahertz image processing method, comprise the steps:
Medium filtering noise reduction: first medium filtering is carried out to Terahertz original image, then linear gradation stretching is done in the tonal range of 0-255 to image;
Non local filtering: the estimated value of being tried to achieve pixel by the weighted mean value of total space territory pixel, obtains the similarity between two pixels, is then weighted on average to it;
Frequency domain high-pass filtering: by Butterworth wave filter, second order high-pass filtering process is carried out to the image after non-local filtering process;
Edge treated: adopt horizontal and vertical operator to carry out edge treated to the image after non-local filtering process;
Overlap-add procedure: superposed by the image of the image after edge treated with second order high-pass filtering process, carries out image sharpening by the Terahertz image after superposition, is finally processed image.
Further technical scheme of the present invention is: in non local filter step, comprises and determines search window, similarity window and filtering depth parameter.
Further technical scheme of the present invention is: in non local filter step, and the similarity between two pixels is according to the similar retrieval between gray scale vector.
Further technical scheme of the present invention is: the similarity between gray scale vector is represented by the decreasing function of weighted euclidean distance.
Further technical scheme of the present invention is: described similarity window is to be with centered by noise pixel, the square field of fixed size.
Technical scheme of the present invention is: build a kind of Terahertz image processing system, comprise medium filtering noise reduction module, non local filtration module, frequency domain high-pass filtering module, image edge processing module, imaging importing module, described medium filtering noise reduction module carries out medium filtering to Terahertz original image, in the tonal range of 0-255, do linear gradation to image again to stretch, described non local filtration module tries to achieve the estimated value of pixel by the weighted mean value of total space territory pixel, obtain the similarity between two pixels, then be weighted on average to it, described frequency domain high-pass filtering module carries out second order high-pass filtering process to the image after non-local filtering process by Butterworth wave filter, described image edge processing module adopts horizontal and vertical operator to carry out edge treated to the image after non-local filtering process, the image of image after edge treated with second order high-pass filtering process superposes by described imaging importing module, Terahertz image after superposition is carried out image sharpening, finally processed image.
Further technical scheme of the present invention is: comprise weight factor determination module, and described weight factor determination module is by the pixel determination weight in the vectorial similar gray scale field of gray scale.
Further technical scheme of the present invention is: the Euclidean distance comprising the Euclidean distance expectation value between the noise pixel point obtaining image expects module.
Further technical scheme of the present invention is: described horizontal and vertical operator comprise in Roberts, Prewitt or Sobel operator one or more.
Further technical scheme of the present invention is: described in carry out image sharpening operator comprise in Roberts, Prewitt or Sobel operator one or more.
Technique effect of the present invention is: build a kind of Terahertz image processing method and system, comprise medium filtering noise reduction: first carry out medium filtering to Terahertz original image, then in the tonal range of 0-255, does linear gradation stretching to image; Non local filtering: the estimated value of being tried to achieve pixel by the weighted mean value of total space territory pixel, obtains the similarity between two pixels, is then weighted on average to it; Frequency domain high-pass filtering: by Butterworth wave filter, second order high-pass filtering process is carried out to the image after non-local filtering process; Edge treated: adopt horizontal and vertical operator to carry out edge treated to the image after non-local filtering process; Overlap-add procedure: superposed by the image of the image after edge treated with second order high-pass filtering process, carries out image sharpening by the Terahertz image after superposition, is finally processed image.Terahertz image processing method of the present invention and system, the non-local filtering of employing is different from the field filtering adopted in some method, and non local filtering has more repellence to noise, and the geometry information contained in filtering part is less.Though field filtering can filtering speckle noise to a certain extent, marginal information is fuzzyyer.
Accompanying drawing explanation
Fig. 1 is process flow diagram of the present invention.
Fig. 2 is structural representation of the present invention.
Embodiment
Below in conjunction with specific embodiment, technical solution of the present invention is further illustrated.
As shown in Figure 1, the specific embodiment of the present invention is: provide a kind of Terahertz image processing method, comprise the steps:
Medium filtering noise reduction: first medium filtering is carried out to Terahertz original image, then linear gradation stretching is done in the tonal range of 0-255 to image.
Specific implementation process is as follows: medium filtering is a kind of conventional nonlinear smoothing filtering, and its ultimate principle is that the Mesophyticum of each point value in a field of this point of value of any in digital picture is replaced.If f (x, y) is the gray-scale value of image slices vegetarian refreshments, filter window is that the medium filtering of A is defined as:
f^(x,y)=MED{f(x,y)}(x,y)∈A (1)
In the tonal range of 0-255, do linear gradation afterwards again stretch, obtain the image of contrast strengthen.
Non local filtering: the estimated value of being tried to achieve pixel by the weighted mean value of total space territory pixel, obtains the similarity between two pixels, is then weighted on average it.
Specific implementation process is as follows: refer to that the gray-scale value of current pixel point is obtained by the gray-scale value weighted mean of the total space territory pixel similar to its structure, weight depends on structural similarity degree.Suppose given discrete by digital picture v={v (the i) ∣ i ∈ I} of noise pollution, can be tried to achieve by the weighted mean of total space territory pixel the estimated value NL [v] (i) of pixel i:
NL[v](i)=Σw(i,j)v(j) (2)
Weight { w (i, j) } jdepend on the similarity of pixel i and j, and meet:
0≤w(i,j)≤1;
Σ jw(i,j)=1. (3)
Similarity between two pixel i and j depends on gray scale vector v (N i) and v (N j) between similarity.N krepresent the square field being centrally located at the fixed size of k.This similarity is by weighted euclidean distance ‖ v (N i)-v (N j) ‖ 2 2, adecreasing function represent.Wherein a is the standard deviation of gaussian kernel.Euclidean distance expectation value between the noise pixel point of image can be tried to achieve by following formula:
E | | v ( N i ) - v ( N j ) | | 2 , a 2 = | | u ( N i ) - u ( N j ) | | 2 , a 2 + 2 σ 2 - - - ( 4 )
The pass of v and u is: v=u+n, v are image pixel observed readings, and u is image actual value, and n is the noise of superposition.σ is the standard deviation of the spacing of two gray scale vectors.The expectation of this Euclidean distance maintains the similarity between different pixels point.Pixel in the gray scale field similar to v (Ni) has larger weight generally, is defined by following formula:
w ( i , j ) = 1 Z ( i ) e - | | v ( N i ) - v ( N j ) | | 2 , a 2 h 2 - - - ( 5 )
Normaliztion constant factor Z (i) is defined as:
Z ( i ) = Σ j e - | | v ( N i ) - v ( N j ) | | 2 , a 2 h 2 - - - ( 6 )
Wherein h represents filter strength, the decay of control characteristic function, or the rate of decay of the further control weight factor.
Be generally convenience of calculation, Ni gets centered by pixel i, the square field of fixed size (2m+1) × (2m+1), and w (i, j) and Z (i) can be expressed as:
w ( i , j ) = 1 G ( i ) exp [ Σ n i ∈ N i , n j ∈ N j , k i ∈ k k i ( n i - n j ) 2 h 2 ] - - - ( 7 )
Z ( i ) = Σ j exp [ Σ n i ∈ N i , n j ∈ N j , k i ∈ k k i ( n i - n j ) 2 h 2 ] - - - ( 8 )
k i = 1 m Σ d = d i m 1 ( 2 d - 1 ) 2 - - - ( 9 )
The geometry in what non local filtering was compared the is whole field of two single-points, so have more repellence to noise, and the part leached contains less geometry information.
Frequency domain high-pass filtering: by Butterworth wave filter, second order high-pass filtering process is carried out to the image after non-local filtering process.
Butterworth wave filter is a kind of filter type in Fourier's frequency domain.Its transport function of Butterworth wave filter can be controlled by index n in the gradient of truncation part.The truncation part of the Butterworth wave filter of low order can not be very steep, and ring effect can alleviate or avoid.
The transport function of Butterworth frequency domain Hi-pass filter is:
H ( u , v ) = 1 1 + [ D 0 / u 2 + v 2 ] 2 n - - - ( 10 )
D 0be cutoff frequency, n is positive integer, represents the exponent number of Butterworth wave filter.The gradient of truncation part increases along with n and increases.
Edge treated: adopt Roberts edge detection operator to realize horizontal and vertical direction and edge treated is carried out to the image after non-local filtering process.If f (x, y) is gradation of image distribution function, then its Reberts edge detection operator is
g ( x , y ) = { [ f ( x , y ) - f ( x + 1 , y + 1 ) ] 2 + [ f ( x + 1 , y ) - f ( x , y + 1 ) ] 2 } 1 2
Roberts edge detection operator realizes the rim detection in horizontal and vertical direction respectively, and operational form is:
Δ x f ( x , y ) = f ( x , y ) - f ( x - 1 , y - 1 ) Δ y f ( x , y ) = f ( x - 1 , y ) - f ( x , y - 1 )
Overlap-add procedure: the image of the image after edge treated with second order high-pass filtering process superposes by the image registration based on half-tone information method, concrete grammar is definition benchmark image I (x, y) with template image T (x, y), make template image move on benchmark image, and calculate similarity degree between the two, namely the place that peak value occurs is registration position, calculating formula of similarity on each displacement point (i, j) determined is
D ( i , j ) = Σ x Σ y T ( x , y ) I ( x - i , y - j ) Σ x Σ y I 2 ( x - i , y - j )
Image sharpening: the Terahertz image after superposition is carried out image sharpening, and utilize Roberts operator to carry out sharpening, Roberts operator template is the template of a 2*2, and for current pending pixel f (x, y), Roberts operator definitions is as follows:
▿ f = | f ( x + 1 . y + 1 ) - f ( x , y ) | + | f ( x + 1 , y ) - f ( x , y + 1 ) |
Specifically being expressed as of template
D 1 = - 1 0 0 1 D 2 = 0 - 1 1 0
ξ 1=D 1(f(x,y)) ξ 2=D 2(f(x,y))
▿ f ( x , y ) = | ξ 1 | + | ξ 2 |
Finally processed image.
As shown in Figure 2, the specific embodiment of the present invention is: build a kind of Terahertz image processing system, comprise medium filtering noise reduction module 1, non local filtration module 2, frequency domain high-pass filtering module 3, image edge processing module 4, imaging importing module 5, described medium filtering noise reduction module 1 pair of Terahertz original image carries out medium filtering, in the tonal range of 0-255, do linear gradation to image again to stretch, described non local filtration module 2 tries to achieve the estimated value of pixel by the weighted mean value of total space territory pixel, obtain the similarity between two pixels, then be weighted on average to it, image after the 3 pairs of non-local filtering process of described frequency domain high-pass filtering module carries out second order high-pass filtering process by Butterworth wave filter, described image edge processing module 4 adopts horizontal and vertical operator to carry out edge treated to the image after non-local filtering process, the image of image after edge treated with second order high-pass filtering process superposes by described imaging importing module 5, Terahertz image after superposition is carried out image sharpening, finally processed image.
As shown in Figure 2, specific embodiment of the invention process is: described medium filtering noise reduction module 1 first carries out medium filtering to Terahertz original image, then in the tonal range of 0-255, does linear gradation stretching to image.
Specific implementation process is as follows: medium filtering is a kind of conventional nonlinear smoothing filtering, and its ultimate principle is that the Mesophyticum of each point value in a field of this point of value of any in digital picture is replaced.If f (x, y) is the gray-scale value of image slices vegetarian refreshments, filter window is that the medium filtering of A is defined as:
f^(x,y)=MED{f(x,y)}(x,y)∈A (1)
In the tonal range of 0-255, do linear gradation afterwards again stretch, obtain the image of contrast strengthen.
Non local filtration module 2 tries to achieve the estimated value of pixel by the weighted mean value of total space territory pixel, obtains the similarity between two pixels, is then weighted on average it.
Specific implementation process is as follows: refer to that the gray-scale value of current pixel point is obtained by the gray-scale value weighted mean of the total space territory pixel similar to its structure, weight depends on structural similarity degree.Suppose given discrete by digital picture v={v (the i) ∣ i ∈ I} of noise pollution, can be tried to achieve by the weighted mean of total space territory pixel the estimated value NL [v] (i) of pixel i:
NL[v](i)=Σw(i,j)v(j) (2)
Weight { w (i, j) } jdepend on the similarity of pixel i and j, and meet:
0≤w(i,j)≤1;
Σjw(i,j)=1. (3)
Similarity between two pixel i and j depends on gray scale vector v (N i) and v (N j) between similarity.N krepresent the square field being centrally located at the fixed size of k.This similarity is by weighted euclidean distance ‖ v (N i)-v (N j) ‖ 2 2, adecreasing function represent.Wherein a is the standard deviation of gaussian kernel.Euclidean distance expectation value between the noise pixel point of image can be tried to achieve by following formula:
E | | v ( N i ) - v ( N j ) | | 2 , a 2 = | | u ( N i ) - u ( N j ) | | 2 , a 2 + 2 σ 2 - - - ( 4 )
The pass of v and u is: v=u+n, v are image pixel observed readings, and u is image actual value, and n is the noise of superposition.σ is the standard deviation of the spacing of two gray scale vectors.The expectation of this Euclidean distance maintains the similarity between different pixels point.With v (N i) pixel in similar gray scale field has larger weight generally, defined by following formula:
w ( i , j ) = 1 Z ( i ) e - | | v ( N i ) - v ( N j ) | | 2 , a 2 h 2 - - - ( 5 )
Normaliztion constant factor Z (i) is defined as:
Z ( i ) = Σ j e - | | v ( N i ) - v ( N j ) | | 2 , a 2 h 2 - - - ( 6 )
Wherein h represents filter strength, the decay of control characteristic function, or the rate of decay of the further control weight factor.
Be generally convenience of calculation, N iget centered by pixel i, the square field of fixed size (2m+1) × (2m+1), comprise weight factor determination module 6, described weight factor determination module 6 is by the pixel determination weight in the vectorial similar gray scale field of gray scale, w (i, j) and Z (i) can be expressed as:
w ( i , j ) = 1 G ( i ) exp [ Σ n i ∈ N i , n j ∈ N j , k i ∈ k k i ( n i - n j ) 2 h 2 ] - - - ( 7 )
Z ( i ) = Σ j exp [ Σ n i ∈ N i , n j ∈ N j , k i ∈ k k i ( n i - n j ) 2 h 2 ] - - - ( 8 )
k i = 1 m Σ d = d i m 1 ( 2 d - 1 ) 2 - - - ( 9 )
The geometry in what non local filtering was compared the is whole field of two single-points, so have more repellence to noise, and the part leached contains less geometry information.
Image after the 3 pairs of non-local filtering process of frequency domain high-pass filtering module carries out second order high-pass filtering process by Butterworth wave filter.
Butterworth wave filter is a kind of filter type in Fourier's frequency domain.Its transport function of Butterworth wave filter can be controlled by index n in the gradient of truncation part.The truncation part of the Butterworth wave filter of low order can not be very steep, and ring effect can alleviate or avoid.
The transport function of Butterworth frequency domain Hi-pass filter is:
H ( u , v ) = 1 1 + [ D 0 / u 2 + v 2 ] 2 n - - - ( 10 )
D 0be cutoff frequency, n is positive integer, represents the exponent number of Butterworth wave filter.The gradient of truncation part increases along with n and increases.
Image edge processing module 4 adopts horizontal and vertical operator to carry out edge treated to the image after non-local filtering process.
Edge treated: adopt Roberts edge detection operator to realize horizontal and vertical direction and edge treated is carried out to the image after non-local filtering process.If f (x, y) is gradation of image distribution function, then its Reberts edge detection operator is
g ( x , y ) = { [ f ( x , y ) - f ( x + 1 , y + 1 ) ] 2 + [ f ( x + 1 , y ) - f ( x , y + 1 ) ] 2 } 1 2
Roberts edge detection operator realizes the rim detection in horizontal and vertical direction respectively, and operational form is:
Δ x f ( x , y ) = f ( x , y ) - f ( x - 1 , y - 1 ) Δ y f ( x , y ) = f ( x - 1 , y ) - f ( x , y - 1 )
The image of image after edge treated with second order high-pass filtering process superposes by imaging importing module 5, the Terahertz image after superposition is carried out image sharpening, is finally processed image.
Overlap-add procedure: the image of the image after edge treated with second order high-pass filtering process superposes by the image registration based on half-tone information method, concrete grammar is definition benchmark image I (x, y) with template image T (x, y), make template image move on benchmark image, and calculate similarity degree between the two, namely the place that peak value occurs is registration position, calculating formula of similarity on each displacement point (i, j) determined is
D ( i , j ) = Σ x Σ y T ( x , y ) I ( x - i , y - j ) Σ x Σ y I 2 ( x - i , y - j )
Image sharpening: the Terahertz image after superposition is carried out image sharpening, and utilize Roberts operator to carry out sharpening, Roberts operator template is the template of a 2*2, and for current pending pixel f (x, y), Roberts operator definitions is as follows:
▿ f = | f ( x + 1 . y + 1 ) - f ( x , y ) | + | f ( x + 1 , y ) - f ( x , y + 1 ) |
Specifically being expressed as of template
D 1 = - 1 0 0 1 D 2 = 0 - 1 1 0
ξ 1=D 1(f(x,y)) ξ 2=D 2(f(x,y))
▿ f ( x , y ) = | ξ 1 | + | ξ 2 |
Finally processed image.
Technique effect of the present invention is: build a kind of Terahertz image processing method and system, comprise medium filtering noise reduction: first carry out medium filtering to Terahertz original image, then in the tonal range of 0-255, does linear gradation stretching to image; Non local filtering: the estimated value of being tried to achieve pixel by the weighted mean value of total space territory pixel, obtains the similarity between two pixels, is then weighted on average to it; Frequency domain high-pass filtering: by Butterworth wave filter, second order high-pass filtering process is carried out to the image after non-local filtering process; Edge treated: adopt horizontal and vertical operator to carry out edge treated to the image after non-local filtering process; Overlap-add procedure: superposed by the image of the image after edge treated with second order high-pass filtering process, carries out image sharpening by the Terahertz image after superposition, is finally processed image.Terahertz image processing method of the present invention and system, the non-local filtering of employing is different from the field filtering adopted in some method, and non local filtering has more repellence to noise, and the geometry information contained in filtering part is less.Though field filtering can filtering speckle noise to a certain extent, marginal information is fuzzyyer.
Above content is in conjunction with concrete preferred implementation further description made for the present invention, can not assert that specific embodiment of the invention is confined to these explanations.For general technical staff of the technical field of the invention, without departing from the inventive concept of the premise, some simple deduction or replace can also be made, all should be considered as belonging to protection scope of the present invention.

Claims (10)

1. a Terahertz image processing method, comprises the steps:
Medium filtering noise reduction: first medium filtering is carried out to Terahertz original image, then linear gradation stretching is done in the tonal range of 0-255 to image;
Non local filtering: the estimated value of being tried to achieve pixel by the weighted mean value of total space territory pixel, obtains the similarity between two pixels, is then weighted on average to it;
Frequency domain high-pass filtering: by Butterworth wave filter, second order high-pass filtering process is carried out to the image after non-local filtering process;
Edge treated: adopt horizontal and vertical operator to carry out edge treated to the image after non-local filtering process;
Overlap-add procedure: superposed by the image of the image after edge treated with second order high-pass filtering process, carries out image sharpening by the Terahertz image after superposition, is finally processed image.
2. Terahertz image processing method according to claim 1, is characterized in that, in non local filter step, comprises and determines search window, similarity window and filtering depth parameter.
3. Terahertz image processing method according to claim 1, is characterized in that, in non local filter step, the similarity between two pixels is according to the similar retrieval between gray scale vector.
4. according to the Terahertz image processing method that claim 3 is stated, it is characterized in that, the similarity between described gray scale vector is represented by the decreasing function of weighted euclidean distance.
5. Terahertz image processing method according to claim 2, is characterized in that, described similarity window is to be with centered by noise pixel, the square field of fixed size.
6. a Terahertz image processing system, it is characterized in that, comprise medium filtering noise reduction module, non local filtration module, frequency domain high-pass filtering module, image edge processing module, imaging importing module, described medium filtering noise reduction module carries out medium filtering to Terahertz original image, in the tonal range of 0-255, do linear gradation to image again to stretch, described non local filtration module tries to achieve the estimated value of pixel by the weighted mean value of total space territory pixel, obtain the similarity between two pixels, then be weighted on average to it, described frequency domain high-pass filtering module carries out second order high-pass filtering process to the image after non-local filtering process by Butterworth wave filter, described image edge processing module adopts horizontal and vertical operator to carry out edge treated to the image after non-local filtering process, the image of image after edge treated with second order high-pass filtering process superposes by described imaging importing module, Terahertz image after superposition is carried out image sharpening, finally processed image.
7. Terahertz image processing system according to claim 6, is characterized in that, comprise weight factor determination module, and described weight factor determination module is by the pixel determination weight in the similar gray scale field of gray scale vector.
8. Terahertz image processing system according to claim 6, is characterized in that, the Euclidean distance comprising the Euclidean distance expectation value between the noise pixel point obtaining image expects module.
9. Terahertz image processing system according to claim 6, is characterized in that, described horizontal and vertical operator comprise in Roberts, Prewitt or Sobel operator one or more.
10. Terahertz image processing system according to claim 6, is characterized in that, described in carry out image sharpening operator comprise in Roberts, Prewitt or Sobel operator one or more.
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Application publication date: 20150415