CN112710632A - Method and system for detecting high and low refractive indexes of glass beads - Google Patents

Method and system for detecting high and low refractive indexes of glass beads Download PDF

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CN112710632A
CN112710632A CN202110306319.7A CN202110306319A CN112710632A CN 112710632 A CN112710632 A CN 112710632A CN 202110306319 A CN202110306319 A CN 202110306319A CN 112710632 A CN112710632 A CN 112710632A
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value
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refractive index
low refractive
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陈启中
何晨
张雷
叶世昕
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Sichuan Jingwei Traffic Engineering Technology Co ltd
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    • G01N21/00Investigating or analysing materials by the use of optical means, i.e. using sub-millimetre waves, infrared, visible or ultraviolet light
    • G01N21/17Systems in which incident light is modified in accordance with the properties of the material investigated
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Abstract

The invention relates to a method and a system for detecting high and low refractive indexes of glass beads, wherein the method comprises the following steps: sequentially carrying out distortion correction, contrast enhancement, Fourier transform, contour optimization extraction and least square method fitting circle processing on the acquired high-refractive-index image; sequentially carrying out distortion correction, gray level enhancement, contrast enhancement, threshold segmentation, morphological processing, contour optimization and least square method circle fitting processing on the collected low-refractive-index image; and obtaining the radius of the contour circle and the coordinate value of the center of the circle according to the processing, and further calculating the refractive indexes in the high refractive index image and the low refractive index image. The invention has the advantages that: the method not only can simultaneously detect the high refractive index and the low refractive index of the glass beads, but also greatly improves the detection efficiency and the detection accuracy through the image analysis processing method.

Description

Method and system for detecting high and low refractive indexes of glass beads
Technical Field
The invention relates to the field of glass bead refractive index detection, in particular to a method and a system for detecting the high refractive index and the low refractive index of glass beads.
Background
The glass beads are silicate materials, have good chemical stability, mechanical strength and electrical insulation, have the unique characteristic of having a retro-reflection characteristic to light, and are widely applied to the fields of highways, railways, ports, ocean transportation, mines, tunnels, fire protection, urban construction and the like as various marks, warning boards, vehicle photographing and lifesaving appliances and the like; along with the rapid development of highway construction in China, the dosage of glass microspheres matched with a road retroreflective material is rapidly increased, and the glass microspheres play an increasingly important role in traffic safety products and facilities such as advertising signs, reflective films, reflective ink and reflective marked lines.
The existing methods for measuring the refractive index of the glass microspheres mainly comprise an imaging method, a primary rainbow method, a secondary rainbow method and the like; however, the existing measurement technology has the defects of complex light path adjustment, difficult realization of automatic quantitative measurement process, low transmittance, poor imaging effect and the like based on an imaging method; can only measure the glass microballon of low refracting index based on a rainbow method, can only measure the glass microballon of high refracting index based on the secondary rainbow method, can not realize the simultaneous measurement of high low refracting index, have the shortcoming of function singleness, the measurement to the glass microballon refracting index is realized through adjusting the light path to the current moreover, but the light path is adjusted troublesome and complicated under the general condition, need adopt the measurement of belt annular scale, and adjust the precision not high, maneuverability is poor.
Disclosure of Invention
The invention aims to overcome the defects of the prior art, provides a method and a system for detecting the high and low refractive indexes of glass beads, and solves the defects of the existing method for detecting the refractive indexes of the glass beads.
The purpose of the invention is realized by the following technical scheme: a method for detecting high and low refractive indexes of glass beads comprises the following steps:
sequentially carrying out distortion correction, contrast enhancement, Fourier transform, contour optimization extraction and least square method fitting circle processing on the acquired high-refractive-index image; sequentially carrying out distortion correction, gray level enhancement, contrast enhancement, threshold segmentation, morphological processing, contour optimization and least square method circle fitting processing on the collected low-refractive-index image;
and obtaining the radius of the contour circle and the coordinate value of the center of the circle according to the processing, and further calculating the refractive indexes in the high refractive index image and the low refractive index image.
The aberration correction process includes:
inputting a high refractive index image or a low refractive index image in an image pixel coordinate system
Figure 100002_DEST_PATH_IMAGE001
The central coordinate in the image is set as the origin of the image physical coordinate system, and the conversion matrix of the image pixel coordinate system and the image physical coordinate system is obtained according to the size of each pixel in the image physical coordinate system, so as to obtain the image physical coordinate system of the high refractive index image or the low refractive index image
Figure 619721DEST_PATH_IMAGE002
Physical coordinate system of image
Figure 333599DEST_PATH_IMAGE002
Conversion to camera coordinate system
Figure 457544DEST_PATH_IMAGE003
Then the camera coordinate system
Figure 915070DEST_PATH_IMAGE003
Conversion to world coordinate system
Figure 542491DEST_PATH_IMAGE004
Further obtaining an internal parameter matrix, a perspective projection matrix and a scale factor of the camera, and correcting the input high refractive index image and low refractive index image according to the internal parameter matrix, the perspective projection matrix and the scale factor of the camera
Figure 692850DEST_PATH_IMAGE005
The gradation enhancement processing includes: for the gray scale of corrected distortionrIs inputted to the image
Figure 428725DEST_PATH_IMAGE005
By the gray enhancement formula:
Figure 440674DEST_PATH_IMAGE006
processed to obtain a gray scale ofsOutput image of (2)
Figure 171870DEST_PATH_IMAGE007
Linear expansion or compression of input image gray scale is realized, and the step is used as an output image
Figure 509441DEST_PATH_IMAGE007
Input image of the next step
Figure 326088DEST_PATH_IMAGE005
The contrast enhancement process includes: for input image
Figure 141728DEST_PATH_IMAGE005
Low-pass filtering is carried out, and calculation is carried out according to the obtained gray value and the original value to obtain a result value:
Figure 868376DEST_PATH_IMAGE008
to obtainTo the output image
Figure 626116DEST_PATH_IMAGE007
The method can emphasize the high-frequency region of the image to make the image clearer, and the step is used as an output image
Figure 409352DEST_PATH_IMAGE007
Input image of the next step
Figure 277951DEST_PATH_IMAGE005
The threshold segmentation process includes: selecting an input image
Figure 51DEST_PATH_IMAGE005
The gray value satisfies the gray range [ MinGray, MaxGray]All satisfied pixel points are used as an area to return;
the morphological treatment comprises the following steps: and sequentially performing expansion and corrosion treatment on the region obtained after the threshold segmentation treatment, or sequentially performing corrosion and expansion treatment to filter out interference information in the image.
The Fourier transform processing includes:
fourier transform: carrying out Fourier transform on the image subjected to contrast enhancement to convert the time domain image into a frequency domain image;
gaussian convolution: convolving the image subjected to Fourier transform with a convolution kernel template, enabling the origin of the convolution kernel template to coincide with a point on the image, multiplying the point on the convolution kernel template with the corresponding point on the image, adding the products of the points to obtain the convolution value of the point, and processing each point on the image in such a way to obtain a convolution image;
inverse Fourier transform: and carrying out inverse Fourier transform on the convolution image to convert the frequency domain image into a time domain image.
The contour optimization extraction process includes:
screening the contours in the image through a theoretical roundness value, and calculating the area and the perimeter of the screened contours;
and calculating an actual circularity value of the circular contour according to the area and the perimeter, comparing the actual circularity value with the theoretical circularity value, judging that the screened contour is the circular contour if the actual circularity value is within the error range of the theoretical circularity value, and screening and extracting again if the actual circularity value is not within the error range of the theoretical circularity value any more.
The least squares fitting circle processing comprises:
equation based on circular curves
Figure DEST_PATH_IMAGE009
And
Figure 600796DEST_PATH_IMAGE010
let a point in the sample set
Figure DEST_PATH_IMAGE011
At a distance from the center of the circle of
Figure 736243DEST_PATH_IMAGE012
Then, then
Figure DEST_PATH_IMAGE013
Finding points
Figure 96948DEST_PATH_IMAGE011
The difference between the square of the distance to the circular edge and the square of the radius is:
Figure 922821DEST_PATH_IMAGE014
order to
Figure 241938DEST_PATH_IMAGE015
Is composed of
Figure 786052DEST_PATH_IMAGE016
The sum of the squares of (a) and (b),
Figure 747186DEST_PATH_IMAGE017
Figure 302932DEST_PATH_IMAGE015
greater than 0, so that the function presents a minimum value greater than or equal to 0,
Figure 573377DEST_PATH_IMAGE018
to calculate the partial derivatives for a, b, c, let the partial derivatives equal to 0, get the extreme points:
Figure 89940DEST_PATH_IMAGE019
Figure 572874DEST_PATH_IMAGE020
Figure 124072DEST_PATH_IMAGE021
and calculating the values of a, B and c to obtain the fitting values of A, B and R.
A detection system based on a glass bead high and low refractive index detection method comprises:
an image acquisition module: collecting high and low refractive index images and transmitting the collected images to an image processing module;
an image processing module: carrying out distortion correction, gray level enhancement, contrast enhancement, threshold segmentation, morphological processing, Fourier transform, contour optimization and least square method circle fitting processing on the input high and low refractive index images, and then transmitting the processing result to a data processing module;
a data processing module: and analyzing and processing the data, calculating according to the circle radius and the imaging distance to obtain the refractive index, and finally outputting and storing data information.
The image processing module comprises a high-refractive-index image processing unit and a low-refractive-index image processing unit;
the high-refractive-index image processing unit processes the input high-refractive-index image through distortion correction, contrast enhancement, Fourier transform, contour optimization extraction and least square fitting circle in sequence to obtain the radius and the imaging distance of the circular contour;
and the low-refractive-index image processing unit is used for processing the input low-refractive-index image through distortion correction, gray level enhancement, contrast enhancement, threshold segmentation, morphological processing, contour optimization extraction and least square method fitting circle in sequence to obtain the radius and the imaging distance of the circular contour.
The invention has the following advantages: the method and the system for detecting the high refractive index and the low refractive index of the glass beads can simultaneously detect the high refractive index and the low refractive index of the glass beads, and greatly improve the detection efficiency and the detection accuracy rate through an image analysis processing method.
Drawings
FIG. 1 is a schematic flow diagram of the process of the present invention;
FIG. 2 is a schematic diagram of an image pixel coordinate system to an image physical coordinate system 1;
FIG. 3 is a schematic diagram of an image pixel coordinate system to an image physical coordinate system 2;
FIG. 4 is a schematic diagram of a camera coordinate system to an image physical coordinate system;
FIG. 5 is a schematic diagram of a world coordinate system to a camera coordinate system.
Detailed Description
In order to make the objects, technical solutions and advantages of the embodiments of the present application clearer, the technical solutions in the embodiments of the present application will be clearly and completely described below with reference to the drawings in the embodiments of the present application, and it is obvious that the described embodiments are only a part of the embodiments of the present application, and not all the embodiments. The components of the embodiments of the present application, generally described and illustrated in the figures herein, can be arranged and designed in a wide variety of different configurations. Thus, the detailed description of the embodiments of the present application provided below in connection with the appended drawings is not intended to limit the scope of the claimed application, but is merely representative of selected embodiments of the application. All other embodiments, which can be derived by a person skilled in the art from the embodiments of the present application without making any creative effort, shall fall within the protection scope of the present application. The invention is further described below with reference to the accompanying drawings.
In the present invention, f (x, y) represents an input image, g (x, y) represents an output image, and f (x, y) and g (x, y) in each step represent different images, that is, the output image g (x, y) in one processing step represents the input image f (x, y) in the next processing step after the next processing step.
Example 1
As shown in fig. 1, the invention relates to a method for detecting high and low refractive indexes of glass beads, which mainly comprises the following steps:
starting and initializing a program, automatically initializing after software is started, loading a configuration file, detecting a camera connection state, and entering a detection waiting state;
manually adjusting the position of the glass bead sample, and starting a high-refractive-index camera for image acquisition or low-refractive-index camera for image acquisition after the image achieves the optimal image acquisition effect; the high-refractive-index camera and the low-refractive-index camera adopt independent cameras and independent threads, so that real-time image reading, processing, transmission and display can be realized;
after image acquisition is successful, the image enters an image processing module, information which is required by people is obtained through a series of algorithm processing, and finally, the radius of the circle is extracted; the high-refractive-index image processing module mainly uses algorithms including distortion correction, contrast enhancement, Fourier transform, contour optimization extraction and least square method fitting circle; algorithms mainly used by the low refractive index image processing module comprise distortion correction, gray level enhancement, contrast enhancement, threshold segmentation, morphology processing, contour optimization extraction and least square method fitting circle. The module carries out a series of processing on the image through a special algorithm and transmits a calculation result to the data processing module;
and calculating to obtain the refractive index according to the circle radius and the imaging distance through a data processing module, and finally outputting data and finishing measurement.
Further, the distortion correction: the imaging process of the camera is essentially a transformation of the coordinate system. Firstly, converting the points in the space from the world coordinate system to the camera coordinate system, then projecting the points to the imaging plane (image physical coordinate system), and finally converting the data on the imaging plane to the image pixel coordinate system. But distortion is introduced due to lens manufacturing accuracy and variations in the assembly process, resulting in distortion of the original image. The distortion of the lens is classified into radial distortion and tangential distortion.
Radial distortion: is a distortion distributed along the radius of the lens, which arises because the rays are more curved away from the center of the lens than closer to the center. The distortion of the center of the optical axis of the imager is 0, and the distortion becomes more serious when the optical axis moves to the edge along the radius direction of the lens. The mathematical model of distortion can be described by the first terms of taylor series expansion around the principal point (principal point), usually using the first two terms, i.e. k1 and k2, and for a lens with large distortion, such as a fish-eye lens, the description can be added by using the third term k3, and a point on the imager is adjusted according to its distribution position in the radial direction by the formula:
Figure 440784DEST_PATH_IMAGE022
Figure 693911DEST_PATH_IMAGE023
wherein:
Figure 748846DEST_PATH_IMAGE024
where (x 0, y 0) is the original position of the distortion point on the imager and (x, y) is the new position after the distortion is true;
tangential distortion: this is caused by the fact that the lens itself is not parallel to the camera sensor plane (imaging plane) or image plane, which is often caused by mounting deviations of the lens to the lens module. The distortion model can be described with two additional parameters p1 and p 2:
Figure 544764DEST_PATH_IMAGE025
Figure 157011DEST_PATH_IMAGE026
wherein
Figure 382587DEST_PATH_IMAGE027
Figure 472903DEST_PATH_IMAGE028
Figure 733114DEST_PATH_IMAGE029
As a parameter of the radial distortion,
Figure 391628DEST_PATH_IMAGE030
Figure 353768DEST_PATH_IMAGE031
is a tangential distortion parameter. To sum up, we need 5 parameters (a), (b), (c), (d
Figure 998507DEST_PATH_IMAGE027
Figure 362492DEST_PATH_IMAGE028
Figure 67274DEST_PATH_IMAGE029
Figure 657656DEST_PATH_IMAGE030
Figure 824195DEST_PATH_IMAGE031
) Describing the lens distortion, the invention eliminates the camera distortion through the camera calibration, namely distortion correction.
The purpose of camera calibration is to obtain internal parameters (distortion parameters) and external parameters of a camera and obtain the relationship between two-dimensional plane pixel coordinates and three-dimensional world coordinates. Four coordinate systems: camera coordinate system, image physical coordinate system, image pixel coordinate system, and world coordinate system (reference coordinate system).
Image coordinate system: the coordinate system is a coordinate system with a pixel as a unit, the origin of the coordinate system is at the upper left, the position of each pixel point is expressed by the pixel as a unit, so the coordinate system is called an image pixel coordinate system (u, v), u and v respectively represent the number of columns and rows of the pixel in a digital image, but the position of the pixel is not represented by a physical unit, so an image coordinate system with a physical unit, called an image physical coordinate system (x, y), needs to be established, the coordinate system takes the intersection point of an optical axis and an image plane as the origin, the point is generally positioned in the center of the image, but the point can be deviated in many cases due to manufacturing reasons. In millimeters. The two coordinate axes are respectively parallel to the image pixel coordinate system. Namely: pixel coordinates (u, v), physical coordinates (x, y).
As shown in fig. 2, if the coordinates of the origin of the image physical coordinate system in the image pixel coordinate system are (u0, v0), and the size of each pixel in the image physical coordinate system is dx, dy, the relationship between the two coordinate systems is:
Figure 793419DEST_PATH_IMAGE032
the matrix form is:
Figure DEST_PATH_IMAGE033
but in general, the two axes are not perpendicular to each other:
as shown in fig. 3, this time:
Figure 731419DEST_PATH_IMAGE034
Figure DEST_PATH_IMAGE035
written in matrix form as:
Figure 481200DEST_PATH_IMAGE036
as shown in fig. 4, camera coordinate system (Xc, Yc, Zc) to image coordinate system (x, y);
according to the similar triangle principle, the following results are obtained:
Figure DEST_PATH_IMAGE037
as shown in fig. 5, world coordinate system (Xw, Yw, Zw) to camera coordinate system (Xc, Yc, Zc);
Figure 185851DEST_PATH_IMAGE038
combining the above formula to obtain:
Figure DEST_PATH_IMAGE039
Figure 331618DEST_PATH_IMAGE040
wherein the content of the first and second substances,
Figure DEST_PATH_IMAGE041
a reference matrix within the camera is represented,
Figure 706099DEST_PATH_IMAGE042
denotes a perspective photography matrix, and s = Zc denotes a scale factor.
And (3) gray level enhancement: the gray scale of an input image is linearly expanded or compressed, a mapping function is a linear equation, the input image is f (x, y), the gray scale is r, the output image is g (x, y), and the gray scale is s; the expression is as follows: factor and k are parameter factors;
Figure 5493DEST_PATH_IMAGE006
contrast enhancement: the high frequency regions (edges and corners) of the image are mainly emphasized, so that the obtained image is clearer. Firstly, low-pass filtering (mean _ image) is carried out on the image g (x, y), and a result value (res) is obtained by calculating according to the obtained gray value (mean) and the original value (orig), wherein the expression is as follows: factor is a parameter Factor
Figure 530147DEST_PATH_IMAGE008
Threshold segmentation: selecting pixels with gray values satisfying a gray interval [ MinGray, MaxGray ] from the input image f (x, y), and returning all satisfied points as an area, wherein the expression is as follows:
Figure DEST_PATH_IMAGE043
wherein MinGray represents the minimum gray value of the optimal gray value range, MaxGray represents the maximum gray value of the optimal gray value range, and if the gray value is about 100 pixels, the gray value interval can be set to [90,110 ].
Morphological treatment: mathematical morphology is composed of a set of morphological algebraic operators, whose basic operations are 4: dilation, erosion, opening and closing operations, the main function of which is to preserve the basic features of the image and to remove extraneous structures; by performing morphological processing on the region obtained by threshold segmentation, some interference information can be filtered out
Swelling (Dilate): is a process of merging all background points in contact with an object into the object and expanding the boundary to the outside. Can be used to fill in voids in objects. Dilation can be viewed as the dual operation of erosion, which is defined as: ba is obtained by translating the structural element B by a, and if Ba hits X, we note the point a. The set of all points a satisfying the above condition is called the result of expansion of X by B.
Figure 801859DEST_PATH_IMAGE044
Corrosion (enode): is a method for eliminating boundary points, and makes the boundary shrink inwards. Small and meaningless objects can be eliminated. The result of X erosion with S is a collection of all X' S that remain in X after S is translated by X. In other words, the set obtained by corroding X with S is a set of the origin positions of S when S is completely included in X, and is formulated as:
Figure DEST_PATH_IMAGE045
open operation (Close): first swell and then decay is called close (close), i.e. close (x) = E (d (x)). In general, the closing operation is able to fill small lakes (i.e., pores), closing small cracks, while leaving the overall position and shape unchanged.
Figure 471875DEST_PATH_IMAGE046
Closed operation (Open): opening and closing are dual operations. Erosion followed by dilation is called open (open), i.e., open (x) = D (e (x)). The function is as follows: small objects are eliminated, separated objects are obtained at the fine points, and the positions and the shapes are invariable.
Figure DEST_PATH_IMAGE047
Fourier transform: the frequency of the image is an index that characterizes how strongly the gray level in the image changes. Each point of the frequency domain image is from the whole original image, and when the image processing is carried out, the points on the frequency spectrum image and the points on the image do not have the one-to-one correspondence relationship, a place with severe gray level change or a region with relatively slow gray level change in the image is needed to be obtained in many times, and the place with severe gray level change is a place with large gray level change or a place with large gradient, and the frequency of the place is high; the place where the gray level changes slowly is the place where the gradient is small, and the frequency is low; the Fourier Transform (FT) functions to Transform a signal from the spatial or time domain to the frequency domain. The method is characterized in that the data is converted into a frequency spectrum format of abscissa frequency and ordinate amplitude (or phase) from a waveform diagram format of an abscissa time sampling value and an ordinate sampling value. The inverse fourier transform is to restore the frequency domain to the spatial or time domain.
Furthermore, Fourier transform is carried out on the image after contrast enhancement, Gaussian convolution is carried out on the Fourier image, and finally the Fourier image is restored to be a space domain image, so that the original characteristics which are difficult to perceive can be obviously enhanced, and great help is brought to next contour optimization extraction;
fourier transform formula:
Figure 461828DEST_PATH_IMAGE048
gaussian convolution: the convolution is carried out by a template (convolution kernel) and an image, for a point on the image, the original point of the template is coincided with the point, then the point on the template is multiplied with the corresponding point on the image, then the products of the points are added to obtain the convolution value of the point, and each point on the image is processed in this way to finally obtain the convolution image. Convolution is an integral operation used to find the area of the overlapping region of two curves. The replacement of the pixel value of a point by a weighted average of the pixel values of its surrounding points can be seen as a weighted sum, which can be used to eliminate noise and feature enhancement.
Convolution formula:
Figure DEST_PATH_IMAGE049
wherein
Figure 993434DEST_PATH_IMAGE050
To output an image (output image in the fourier transform step),
Figure 306604DEST_PATH_IMAGE005
in order to input an image, the image is,
Figure DEST_PATH_IMAGE051
for the template (convolution kernel), a general convolution kernel uses a two-dimensional gaussian distribution function:
Figure 22887DEST_PATH_IMAGE052
the inverse fourier transform equation:
Figure 296874DEST_PATH_IMAGE053
wherein, f (x, y) image matrix, row and column of x/y image.
Contour optimization extraction: and (5) carrying out a process of screening the contour through roundness. For a circular profile, the radius is r, the area is S, and the perimeter is L:
Figure 163330DEST_PATH_IMAGE054
Figure 331006DEST_PATH_IMAGE055
Figure 884435DEST_PATH_IMAGE056
from the above formula, it can be seen that C is a fixed value (theoretical value) when the contour is a standard circle, and the contour obtained by the foregoing algorithm processing often has many contours, including a circular contour and a non-circular contour, and only a circle is needed, so that the area and the perimeter of the contour can be calculated, and then the needed circular contour can be screened out by the above formula. When the calculated actual roundness value is within an error range of ± 10% of the theoretical roundness value, the screened contour is represented as a circular contour.
Fitting a circle by a least square method: least squares (least squares analysis) is a mathematical optimization technique that finds the best functional match for a set of data by minimizing the sum of the squares of the errors. The least squares method is a calculation method for finding the best matching function of a set of data by finding some absolute unknown true values by the simplest method and minimizing the sum of squared errors, and is generally used for curve fitting (least squares fitting). The least square circle fitting method is a detection method based on statistics, and can realize sub-pixel level accurate fitting positioning.
The formula for the circle:
Figure 239193DEST_PATH_IMAGE009
,
wherein A, B is the center coordinate of the circle, and R is the radius
Order to
Figure 174919DEST_PATH_IMAGE057
,
Figure 72468DEST_PATH_IMAGE058
,
Figure 51925DEST_PATH_IMAGE059
Another equation for the circular curve can be derived:
Figure 175870DEST_PATH_IMAGE010
by finding a, b, c, the radius parameter of the circle can be obtained:
Figure 898976DEST_PATH_IMAGE060
Figure 651031DEST_PATH_IMAGE061
Figure 552122DEST_PATH_IMAGE062
let one point in the sample set (here, the sample set is the set of all points on the extracted contour)
Figure 147051DEST_PATH_IMAGE063
To the center of a circleA distance of
Figure 159001DEST_PATH_IMAGE064
:
Figure 155776DEST_PATH_IMAGE013
Dot
Figure 617981DEST_PATH_IMAGE011
The difference between the square of the distance to the circular edge and the square of the radius is:
Figure 185360DEST_PATH_IMAGE065
order to
Figure 250268DEST_PATH_IMAGE015
Is composed of
Figure 117861DEST_PATH_IMAGE016
Sum of squares of
Figure 485388DEST_PATH_IMAGE066
Figure 54910DEST_PATH_IMAGE015
Greater than 0, so that the function presents a minimum value greater than or equal to 0,
Figure 408662DEST_PATH_IMAGE018
to calculate the partial derivatives for a, b, c, let the partial derivatives equal to 0, get the extreme points:
Figure 114450DEST_PATH_IMAGE067
Figure 787964DEST_PATH_IMAGE068
Figure DEST_PATH_IMAGE069
the values of a, B and c can be obtained by solving the equation set, and then the fitting values of A, B and R can be obtained by the above formula.
Example 2
The invention also relates to a glass bead high and low refractive index detection system which comprises an initialization module, an image acquisition module, an image processing module and a data processing module.
Further, the initialization module: loading system parameters, configuration files and initializing a camera;
an image acquisition module: collecting high and low refractive index images and transmitting the collected images to an image processing module;
an image processing module: the high-refractive-index image processing module is divided into a high-refractive-index image processing module and a low-refractive-index image processing module, different algorithms are respectively adopted, and the algorithms mainly used by the high-refractive-index image processing module comprise distortion correction, contrast enhancement, Fourier transform, contour optimization extraction and least square method fitting circle; algorithms mainly used by the low refractive index image processing module comprise distortion correction, gray level enhancement, contrast enhancement, threshold segmentation, morphology processing, contour optimization extraction and least square method fitting circle. The module carries out a series of processing on the image through a special algorithm and transmits a calculation result to the data processing module;
a data processing module: and analyzing and processing the data, and finally outputting and storing the data.
The foregoing is illustrative of the preferred embodiments of this invention, and it is to be understood that the invention is not limited to the precise form disclosed herein and that various other combinations, modifications, and environments may be resorted to, falling within the scope of the concept as disclosed herein, either as described above or as apparent to those skilled in the relevant art. And that modifications and variations may be effected by those skilled in the art without departing from the spirit and scope of the invention as defined by the appended claims.

Claims (9)

1. A method for detecting the high and low refractive indexes of glass beads is characterized by comprising the following steps: the detection method comprises the following steps:
sequentially carrying out distortion correction, contrast enhancement, Fourier transform, contour optimization extraction and least square method fitting circle processing on the acquired high-refractive-index image; sequentially carrying out distortion correction, gray level enhancement, contrast enhancement, threshold segmentation, morphological processing, contour optimization and least square method circle fitting processing on the collected low-refractive-index image;
and obtaining the radius of the contour circle and the coordinate value of the center of the circle according to the processing, and further calculating the refractive indexes in the high refractive index image and the low refractive index image.
2. The method for detecting the high and low refractive indexes of the glass microspheres according to claim 1, wherein the method comprises the following steps: the aberration correction process includes:
inputting a high refractive index image or a low refractive index image in an image pixel coordinate system
Figure DEST_PATH_IMAGE001
The central coordinate in the image is set as the origin of the image physical coordinate system, and the conversion matrix of the image pixel coordinate system and the image physical coordinate system is obtained according to the size of each pixel in the image physical coordinate system, so as to obtain the image physical coordinate system of the high refractive index image or the low refractive index image
Figure 311049DEST_PATH_IMAGE002
Physical coordinate system of image
Figure 237548DEST_PATH_IMAGE002
Conversion to camera coordinate system
Figure DEST_PATH_IMAGE003
Then the camera coordinate system
Figure 756254DEST_PATH_IMAGE003
Conversion to world coordinate system
Figure 793612DEST_PATH_IMAGE004
Further obtaining a camera internal reference matrix, a perspective projection matrix and a scale factor, and correcting the input high refractive index image and low refractive index image according to the camera internal reference matrix, the perspective projection matrix and the scale factor to obtain an image
Figure DEST_PATH_IMAGE005
3. The method for detecting the high and low refractive indexes of the glass microspheres according to claim 2, wherein the method comprises the following steps: the grayscale enhancement includes: for the gray scale of corrected distortionrIs inputted to the image
Figure 199316DEST_PATH_IMAGE005
By the gray enhancement formula:
Figure 811563DEST_PATH_IMAGE006
processed to obtain a gray scale ofsOutput image of (2)
Figure DEST_PATH_IMAGE007
Linear expansion or compression of the input image gray scale is realized, and the gray scale is enhanced
Figure 568298DEST_PATH_IMAGE007
Input image as next step
Figure 861876DEST_PATH_IMAGE005
4. The method for detecting the high and low refractive indexes of the glass microspheres according to claim 2, wherein the method comprises the following steps: the contrast enhancement includes:for input image
Figure 116228DEST_PATH_IMAGE005
Low-pass filtering is carried out, and calculation is carried out according to the obtained gray value and the original value to obtain a result value:
Figure 571480DEST_PATH_IMAGE008
to obtain an output image
Figure 799199DEST_PATH_IMAGE007
The method can emphasize the high-frequency region of the image, make the image clearer, and enhance the contrast of the output image in the step
Figure 178359DEST_PATH_IMAGE007
Input image as next step
Figure 745606DEST_PATH_IMAGE005
Wherein, in the step (A),resthe value of the result is represented by,Factorthe parameter factors are represented by a number of parameters,meanwhich represents a gray-scale value of the image,origrepresenting the original value.
5. The method for detecting the high and low refractive indexes of the glass microspheres according to claim 2, wherein the method comprises the following steps: the threshold segmentation process includes: selecting an input image
Figure 184809DEST_PATH_IMAGE005
The gray value satisfies the gray range [ MinGray, MaxGray]Returning all satisfied pixel points as a region, wherein MinGray represents the minimum gray value of the optimal gray value range, and MaxGray represents the maximum gray value of the optimal gray value range;
the morphological treatment comprises the following steps: and sequentially performing expansion and corrosion treatment on the region obtained after the threshold segmentation treatment, or sequentially performing corrosion and expansion treatment to filter out interference information in the image.
6. The method for detecting the high and low refractive indexes of the glass microspheres according to claim 2, wherein the method comprises the following steps: the Fourier transform processing includes:
fourier transform: carrying out Fourier transform on the image subjected to contrast enhancement to convert the time domain image into a frequency domain image;
gaussian convolution: convolving the image subjected to Fourier transform with a convolution kernel template, enabling the origin of the convolution kernel template to coincide with a point on the image, multiplying the point on the convolution kernel template with the corresponding point on the image, adding the products of the points to obtain the convolution value of the point, and processing each point on the image in such a way to obtain a convolution image;
inverse Fourier transform: and carrying out inverse Fourier transform on the convolution image to convert the frequency domain image into a time domain image.
7. The method for detecting the high and low refractive indexes of the glass microspheres according to claim 2, wherein the method comprises the following steps: the contour optimization extraction process includes:
screening the contours in the image through a theoretical roundness value, and calculating the area and the perimeter of the screened contours;
and calculating an actual circularity value of the circular contour according to the area and the perimeter, comparing the actual circularity value with the theoretical circularity value, judging that the screened contour is the circular contour if the actual circularity value is within the error range of the theoretical circularity value, and screening and extracting again if the actual circularity value is not within the error range of the theoretical circularity value.
8. A detection system based on a glass bead high and low refractive index detection method is characterized in that: it includes:
an image acquisition module: collecting high and low refractive index images and transmitting the collected images to an image processing module;
an image processing module: carrying out distortion correction, gray level enhancement, contrast enhancement, threshold segmentation, morphological processing, Fourier transform, contour optimization and least square method circle fitting processing on the input high and low refractive index images, and then transmitting the processing result to a data processing module;
a data processing module: and analyzing and processing the data, calculating according to the circle radius and the imaging distance to obtain the refractive index, and finally outputting and storing data information.
9. The detection system based on the glass bead high and low refractive index detection method according to claim 8, characterized in that: the image processing module comprises a high-refractive-index image processing unit and a low-refractive-index image processing unit;
the high-refractive-index image processing unit processes the input high-refractive-index image through distortion correction, contrast enhancement, Fourier transform, contour optimization extraction and least square fitting circle in sequence to obtain the radius and the imaging distance of the circular contour;
and the low-refractive-index image processing unit is used for processing the input low-refractive-index image through distortion correction, gray level enhancement, contrast enhancement, threshold segmentation, morphological processing, contour optimization extraction and least square method fitting circle in sequence to obtain the radius and the imaging distance of the circular contour.
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