CN102722869A - Method for enhancing colloid crystal diffraction image - Google Patents
Method for enhancing colloid crystal diffraction image Download PDFInfo
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- CN102722869A CN102722869A CN2012101649265A CN201210164926A CN102722869A CN 102722869 A CN102722869 A CN 102722869A CN 2012101649265 A CN2012101649265 A CN 2012101649265A CN 201210164926 A CN201210164926 A CN 201210164926A CN 102722869 A CN102722869 A CN 102722869A
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- colloidal crystal
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Abstract
The invention discloses a method for enhancing a colloid crystal diffraction image. The method comprises the following steps of: combining a median filter, a Fourier transformation unit, an inverse Fourier transformation unit, a frequency-domain Butterworth high-frequency emphasis filter, a Laplace-Gauss high-frequency emphasis operator, a histogram equalization unit and a histogram matching unit according to different combination sequences, and thus obtaining a Kossel line resolution enhancement effect operator; enhancing an initial image of the colloid crystal diffraction image by using the Kossel line resolution enhancement effect operator, and thus obtaining a Kossel line resolution enhanced colloid crystal diffraction image, wherein in the combination process, each unit is used for one or more times, or part of the units are not used, but at least two units have to participate in the combination process; and acquiring different diffraction enhancement effect operators. By adoption of the method, an effect of enhancing the effective information of the colloid crystal diffraction image is achieved, and great help is offered to research on colloid crystal phase transformation kinetics.
Description
Technical field
The present invention relates to a kind of image processing method, be specifically related to a kind of colloidal crystal diffraction image Enhancement Method.
Background technology
In recent years, the colloidal crystal transition kinetics has become one of current research focus.Colloidal crystal is that the micron or the colloidal solid of sub-micrometer scale constitute by grating constant, the space of its observation and the big several magnitude of time ratio atomic crystal, and detection means is more effective.
In addition, photon compares with electronics that movement velocity is faster, volume is littler, and the optical device of processing as information and carrier of energy with photon is higher than traditional electron device integrated level, processing speed is faster.Can change the material of colloidal particle, produce photonic crystal with specific function.Because the space periodic of specific inductive capacity distributes, a part of light can not be passed through in the photonic crystal, such can the band scope be called as forbidden photon band.1987, Yablonovitch and John independently proposed the notion of photonic crystal respectively.1991, Yablonovitch processed first photonic crystal.The appearance of photonic crystal has promoted the development of optical device development, relates to many aspects such as microwave communication, filtering technique, stealth technology.
Kossel (Ke Saier) diffraction method is a kind of important method of research colloidal crystal phase transition process.Clark and Ackerson at first are applied in colloidal crystal research aspect with the Kossel diffraction method.The laser of employing and the suitable wavelength of colloidal crystal particle size when satisfying the Bragg diffraction condition, can obtain the Kossel striped along the irradiation of sample surfaces normal direction.Because laser brightness is stronger, become the picture centre regional luminance too high.In addition, laser radiation produces scattering to frosted glass, has produced certain ground unrest.Comparatively speaking, then seem clear inadequately as the Kossel line dark fringe of effective information, picture contrast is relatively poor.The image enchancing method that how to obtain clear Kossel striped becomes a research content.
Summary of the invention
Problem to be solved by this invention is: a kind of Enhancement Method of colloidal crystal diffraction image is provided, utilizes this method that the colloidal crystal diffraction image is handled, can access the colloidal crystal diffraction image that Kossel line sharpness strengthens.
For solving the problems of the technologies described above, technical scheme provided by the invention is:
A kind of Enhancement Method of colloidal crystal diffraction image; It is characterized in that: median filter, Fourier transform, Fourier inversion, frequency domain Butterworth high frequency emphasis wave filter, Laplce-Gauss's high frequency emphasis operator, histogram equalization, each unit of histogram coupling are made up according to the various combination order; Obtain Kossel line clarity enhancement effect operator; Use this operator that the original image of colloidal crystal diffraction image is carried out enhancement process, obtain the colloidal crystal diffraction image that Kossel line sharpness strengthens; In the combinations thereof, each unit or use are once or use is once above or the part unit does not use, but must guarantee that anabolic process has at least two unit, obtain different diffraction reinforced effects operators at last.
By technique scheme, when adopting frequency domain Butterworth high frequency emphasis filter unit, two adjustment parameters are set, be respectively Butterworth high frequency emphasis filter cutoff frequency<i >D</i><sub ><i >0</i></sub>, and the Butterworth high frequency emphasis in the original image proportion<i >A,</i>The setting range of two parameters is respectively<i >: 0<D</i><sub ><i >0</i></sub><i ><100 and 0<A<1;</i>When adopting Laplce-Gauss's high frequency emphasis operator unit, this unit is provided with an adjustment parameter: original image proportion in Laplce-Gauss operator<i >B,</i>The setting range of this parameter is:<i >0<B<1.</i>
By technique scheme; Be combined to form Kossel line clarity enhancement effect operator sequentially successively by median filter, Fourier transform, frequency domain Butterworth high frequency emphasis wave filter, Fourier inversion, Laplce-Gauss's high frequency emphasis operator, histogram equalization and median filter; Original image is handled, obtained the effective diffraction information enhanced results of colloidal crystal image.
By technique scheme, wherein each parameter is:
D 0 =40,
a=0.3,
b=0.2.
By technique scheme; Be combined to form Kossel line clarity enhancement effect operator sequentially successively by median filter, frequency domain Butterworth high frequency emphasis wave filter, Laplce-Gauss's high frequency emphasis operator, histogram equalization and median filter; Original image is handled, obtained the effective diffraction information enhanced results of colloidal crystal image.
By technique scheme, wherein each parameter is:
D 0 =30,
a=0.4,
b=0.3.
By technique scheme; Be combined to form Kossel line clarity enhancement effect operator sequentially successively by Fourier transform, frequency domain Butterworth high frequency emphasis wave filter, Fourier inversion, Laplce-Gauss's high frequency emphasis operator and histogram equalization; Original image is handled, obtained the effective diffraction information enhanced results of colloidal crystal image.
By technique scheme, wherein each parameter is:
D 0 =20,
a=0.2,
b=0.2.
By technique scheme; Be combined to form Kossel line clarity enhancement effect operator sequentially successively by histogram equalization, median filter, Laplce-Gauss's high frequency emphasis operator, histogram equalization and median filter; Original image is handled, obtained the effective diffraction information enhanced results of colloidal crystal image.
By technique scheme, the parameter that wherein relates to is:
b=0.5.
In the above-mentioned Kossel line Enhancement Method, the ultimate principle of each unit with embodying is:
1, median filter (Median filter):
Medium filtering is based on the theoretical a kind of nonlinear signal processing technology that can effectively suppress noise of sequencing statistical; The ultimate principle of medium filtering is to replace the value of any in digital picture or the Serial No. with the Mesophyticum of each point value in the neighborhood of this point; The approaching actual value of gray-scale value around letting, thus isolated noise spot eliminated.Method is the two-dimentional sleiding form with certain structure, and the size of plate interior pixel according to gray-scale value sorted, and what generate dull rising the (or decline) is the 2-D data sequence.Two dimension median filter is output as
, wherein,
F (x, y),
G (x, y)Be respectively original image and handle the back image.W is a two dimension pattern plate, is generally 2*2, and the 3*3 zone can be different shapes also, like wire, and circle, cruciform, annular etc.
2, discrete Fourier transformation (DFT) and inverse transformation:
The single argument continuous function
F (x)Fourier transform
F (u)Be defined as equality:
Wherein
.
On the contrary, given
F (u), can obtain through Fourier inversion:
These two equalities have been formed Fourier pair, and promptly a function can regain from its inverse transformation.These equalities are expanded to two variablees
uWith
v:
, similarly, contravariant is changed to:
Single argument discrete function f (x) (x=0 wherein, 1,2 ..., Fourier transform M-1) (DFT) is provided by following equality:
u=0,1,2,…,M-1
Equally, provide F (u), can obtain original function with anti-DFT:
x=0,1,2,…,M-1
A picture size does
M * NFunction
F (x, y)Discrete Fourier transformation be:
Equally, provide
F (u, v), can obtain through inversefouriertransform
F (x, y):
3, Butterworth high frequency emphasis filtering:
nRank and cutoff frequency apart from the distance of initial point do
D 0 The transport function of Butterworth type Hi-pass filter be:
Wherein,
The Butterworth Hi-pass filter is more level and smooth than ideal highpass filter.High frequency emphasis filtering is meant multiply by a constant before the high pass filter function simply, increases by one again and squints so that zero frequency is not removed by wave filter.Transport function is following:
Here,
A>=0And
B>=a aRepresentative value between 0.25 to 0.5,
bRepresentative value between 1.5 to 2.0.
4, Laplce-Gauss operator:
Laplce-Gauss's edge detection operator is the method that a kind of elder generation differentiates after level and smooth.For the picture signal of two dimension, carry out smoothly with following Gaussian function earlier
Wherein,
F (x, y)It is level and smooth preceding image.The edge of image point is the violent place of grey scale change in the image.The sudden change of gradation of image will produce 1 peak value or produce 1 zero crossing in the second derivative kind in order derivative, and will be non-linear along the second derivative of gradient direction, replace with Laplace operator, promptly use
Zero cross point as marginal point.Wherein,
Be the LOG operator.
5, histogram equalization:
Gray level in the piece image
r k The probability that occurs is approximately:
Wherein,
nBe the summation of pixel in the image,
n k Be that gray level does
r k Number of pixels,
LBe gray level sum possible in the image.With gray level in the input picture do
r k Each pixel mapping gray level in the output image do
s k Respective pixel be:
The present invention uses the combination of above-mentioned image processing method, with medium filtering, and the filtering of Butterworth high frequency emphasis, the priority combined method that Laplce-Gauss's high frequency emphasis operator and histogram equalization are handled according to different order makes up.Number of combinations between these unit is very large; Array mode is different; The effect of the operator that obtains after to Flame Image Process is different; In addition in image processing process, three adjustment parameters are set, be respectively original image proportion in original image proportion and the Laplce-Gauss operator in Butterworth high frequency emphasis filter cutoff frequency, the Butterworth high frequency emphasis; Can strengthen the Kossel line information in the original image, provide powerful support for for the colloidal crystal transition kinetics research based on the laser diffraction method provides.Along with deepening continuously of colloidal crystal, photonic crystal research, new colloidal crystal diffraction instrument constantly occurs, and this colloidal crystal diffraction image Enhancement Method will constantly be widened in the colloidal crystal Application for Field.
Description of drawings
Fig. 1 is first effect contrast figure (left half-court is undressed original image, and the right half-court is the result images after handling);
Fig. 2 is second effect contrast figure (left half-court is undressed original image, and the right half-court is the result images after handling);
Fig. 3 is the 3rd effect comparison diagram (left half-court is undressed original image, and the right half-court is the result images after handling);
Fig. 4 is quadruple effect fruit comparison diagram (left half-court is undressed original image, and the right half-court is the result images after handling).
Embodiment
The Enhancement Method of colloidal crystal diffraction image of the present invention; With medium filtering, the filtering of Butterworth high frequency emphasis, Laplce-Gauss's high frequency emphasis operator, and histogram equalization handle plurality of units and pass through various combination: each unit or use once or use once above or the part unit does not use in the concrete anabolic process; But must be no less than two unit in the anabolic process; Can obtain different diffraction reinforced effects operators; Realization helps to carry out the research of colloidal crystal transition kinetics to the effect (referring to Fig. 1-4) of the enhancing of colloidal crystal diffraction image effective information.
In the image processing process, for the part unit that is adopted the adjustment parameter can be set, when parameter was set, each parameter and parameter adjustment scope were respectively: Butterworth high frequency emphasis filter cutoff frequency<i >D</i><sub ><i >0</i></sub><i >(0<D</i><sub ><i >0</i></sub><i ><100)</i>, original image proportion in the Butterworth high frequency emphasis<i >A (0<A<1)</i>, and Laplce-Gauss operator in the original image proportion<i >B (0<B<1)</i>
Embodiment 1: referring to first effect contrast figure of Fig. 1, after the original image input successively through median filter, Fourier transform, Butterworth high frequency emphasis wave filter (
D 0 =40,
a=0.3), Fourier inversion, Laplce-Gauss's high frequency emphasis operator (
b=0.2), histogram equalization and median filter handle, and obtains the effective diffraction information enhanced results of colloidal crystal image.
Embodiment 2: referring to second effect contrast figure of Fig. 2, after the original image input successively through median filter, Butterworth high frequency emphasis wave filter (
D 0 =30,
a=0.4), Laplce-Gauss's high frequency emphasis operator (
b=0.3), histogram equalization and median filter handle, and obtains the effective diffraction information enhanced results of colloidal crystal image.
Embodiment 3: referring to the 3rd effect comparison diagram of Fig. 3, after the original image input successively through Fourier transform, Butterworth high frequency emphasis wave filter (
D 0 =20,
a=0.2), Fourier inversion, Laplce-Gauss's high frequency emphasis operator (
b=0.2) and histogram equalization handle, and obtain the effective diffraction information enhanced results of colloidal crystal image.
Embodiment 4: referring to the quadruple effect of Fig. 4 fruit comparison diagram, after the original image input successively through histogram equalization, median filter, Laplce-Gauss's high frequency emphasis operator (
b=0.5), histogram equalization and median filter handle, and obtains the effective diffraction information enhanced results of colloidal crystal image.
Claims (10)
1. the Enhancement Method of a colloidal crystal diffraction image; It is characterized in that: median filter, Fourier transform, Fourier inversion, frequency domain Butterworth high frequency emphasis wave filter, Laplce-Gauss's high frequency emphasis operator, histogram equalization, each unit of histogram coupling are made up according to the various combination order; Obtain Kossel line clarity enhancement effect operator; Use this operator that the original image of colloidal crystal diffraction image is carried out enhancement process, obtain the colloidal crystal diffraction image that Kossel line sharpness strengthens; In the combinations thereof, each unit or use are once or use is once above or the part unit does not use, but must guarantee that anabolic process has at least two unit, obtain different diffraction reinforced effects operators at last.
2. the Enhancement Method of colloidal crystal diffraction image according to claim 1 is characterized in that: when adopting frequency domain Butterworth high frequency emphasis filter unit, two adjustment parameters being set, is respectively Butterworth high frequency emphasis filter cutoff frequency<i >D</i><sub ><i >0</i></sub>, and the Butterworth high frequency emphasis in the original image proportion<i >A,</i>The setting range of two parameters is respectively<i >: 0<D</i><sub ><i >0</i></sub><i ><100 and 0<A<1;</i>When adopting Laplce-Gauss's high frequency emphasis operator unit, this unit is provided with an adjustment parameter: original image proportion in Laplce-Gauss operator<i >B,</i>The setting range of this parameter is:<i >0<B<1.</i>
3. the Enhancement Method of colloidal crystal diffraction image according to claim 1 and 2; It is characterized in that: be combined to form Kossel line clarity enhancement effect operator sequentially successively by median filter, Fourier transform, frequency domain Butterworth high frequency emphasis wave filter, Fourier inversion, Laplce-Gauss's high frequency emphasis operator, histogram equalization and median filter; Original image is handled, obtained the effective diffraction information enhanced results of colloidal crystal image.
4. the Enhancement Method of colloidal crystal diffraction image according to claim 3 is characterized in that: wherein each parameter is:
D 0 =40,
a=0.3,
b=0.2.
5. the Enhancement Method of colloidal crystal diffraction image according to claim 1 and 2; It is characterized in that: be combined to form Kossel line clarity enhancement effect operator sequentially successively by median filter, frequency domain Butterworth high frequency emphasis wave filter, Laplce-Gauss's high frequency emphasis operator, histogram equalization and median filter; Original image is handled, obtained the effective diffraction information enhanced results of colloidal crystal image.
6. the Enhancement Method of colloidal crystal diffraction image according to claim 5 is characterized in that: wherein each parameter is:
D 0 =30,
a=0.4,
b=0.3.
7. the Enhancement Method of colloidal crystal diffraction image according to claim 1 and 2; It is characterized in that: be combined to form Kossel line clarity enhancement effect operator sequentially successively by Fourier transform, frequency domain Butterworth high frequency emphasis wave filter, Fourier inversion, Laplce-Gauss's high frequency emphasis operator and histogram equalization; Original image is handled, obtained the effective diffraction information enhanced results of colloidal crystal image.
8. the Enhancement Method of colloidal crystal diffraction image according to claim 7 is characterized in that: wherein each parameter is:
D 0 =20,
a=0.2,
b=0.2.
9. the Enhancement Method of colloidal crystal diffraction image according to claim 1 and 2; It is characterized in that: be combined to form Kossel line clarity enhancement effect operator sequentially successively by histogram equalization, median filter, Laplce-Gauss's high frequency emphasis operator, histogram equalization and median filter; Original image is handled, obtained the effective diffraction information enhanced results of colloidal crystal image.
10. the Enhancement Method of colloidal crystal diffraction image according to claim 9 is characterized in that: the parameter that wherein relates to is:
b=0.5.
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN103645193A (en) * | 2013-12-18 | 2014-03-19 | 中国科学院空间科学与应用研究中心 | Colloidal crystal growth detection control device |
| CN111699380A (en) * | 2017-12-11 | 2020-09-22 | 法国电力公司 | Method, apparatus and program for processing diffraction image of crystalline material |
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| WO2008097495A1 (en) * | 2007-02-02 | 2008-08-14 | Massachusetts Institute Of Technology | Three-dimensional particles and related methods including interference lithography |
| CN101355648A (en) * | 2008-06-26 | 2009-01-28 | 天津市亚安科技电子有限公司 | Method for reducing image noise and enhancing image |
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Patent Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| WO2008097495A1 (en) * | 2007-02-02 | 2008-08-14 | Massachusetts Institute Of Technology | Three-dimensional particles and related methods including interference lithography |
| CN101355648A (en) * | 2008-06-26 | 2009-01-28 | 天津市亚安科技电子有限公司 | Method for reducing image noise and enhancing image |
Non-Patent Citations (2)
| Title |
|---|
| HAO YANG ET AL: "Image Enhancement of Colloidal Crystals Kossel Diffraction", 《2010 3RD INTERNATIONAL CONGRESS ON IMAGE AND SIGNAL PROCESSING》, vol. 2, 18 October 2010 (2010-10-18), pages 707 - 711, XP031809584 * |
| 杨皓: "空间胶体晶体生长实验装置关键技术研究", 《中国博士学位论文全文数据库 工程科技I辑》, no. 3, 15 March 2012 (2012-03-15), pages 014 - 15 * |
Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN103645193A (en) * | 2013-12-18 | 2014-03-19 | 中国科学院空间科学与应用研究中心 | Colloidal crystal growth detection control device |
| CN111699380A (en) * | 2017-12-11 | 2020-09-22 | 法国电力公司 | Method, apparatus and program for processing diffraction image of crystalline material |
| CN111699380B (en) * | 2017-12-11 | 2023-11-17 | 法国电力公司 | Method, apparatus and program for processing diffraction images of crystalline materials |
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Application publication date: 20121010 |