CN110497261B - Method for accurately obtaining overall end mill chip pocket end face section shape based on pixel matrix method - Google Patents
Method for accurately obtaining overall end mill chip pocket end face section shape based on pixel matrix method Download PDFInfo
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B24—GRINDING; POLISHING
- B24B—MACHINES, DEVICES, OR PROCESSES FOR GRINDING OR POLISHING; DRESSING OR CONDITIONING OF ABRADING SURFACES; FEEDING OF GRINDING, POLISHING, OR LAPPING AGENTS
- B24B3/00—Sharpening cutting edges, e.g. of tools; Accessories therefor, e.g. for holding the tools
- B24B3/02—Sharpening cutting edges, e.g. of tools; Accessories therefor, e.g. for holding the tools of milling cutters
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B24—GRINDING; POLISHING
- B24B—MACHINES, DEVICES, OR PROCESSES FOR GRINDING OR POLISHING; DRESSING OR CONDITIONING OF ABRADING SURFACES; FEEDING OF GRINDING, POLISHING, OR LAPPING AGENTS
- B24B3/00—Sharpening cutting edges, e.g. of tools; Accessories therefor, e.g. for holding the tools
- B24B3/02—Sharpening cutting edges, e.g. of tools; Accessories therefor, e.g. for holding the tools of milling cutters
- B24B3/021—Sharpening cutting edges, e.g. of tools; Accessories therefor, e.g. for holding the tools of milling cutters of milling cutters with helical cutting edges
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B24—GRINDING; POLISHING
- B24B—MACHINES, DEVICES, OR PROCESSES FOR GRINDING OR POLISHING; DRESSING OR CONDITIONING OF ABRADING SURFACES; FEEDING OF GRINDING, POLISHING, OR LAPPING AGENTS
- B24B49/00—Measuring or gauging equipment for controlling the feed movement of the grinding tool or work; Arrangements of indicating or measuring equipment, e.g. for indicating the start of the grinding operation
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B24—GRINDING; POLISHING
- B24B—MACHINES, DEVICES, OR PROCESSES FOR GRINDING OR POLISHING; DRESSING OR CONDITIONING OF ABRADING SURFACES; FEEDING OF GRINDING, POLISHING, OR LAPPING AGENTS
- B24B49/00—Measuring or gauging equipment for controlling the feed movement of the grinding tool or work; Arrangements of indicating or measuring equipment, e.g. for indicating the start of the grinding operation
- B24B49/02—Measuring or gauging equipment for controlling the feed movement of the grinding tool or work; Arrangements of indicating or measuring equipment, e.g. for indicating the start of the grinding operation according to the instantaneous size and required size of the workpiece acted upon, the measuring or gauging being continuous or intermittent
Abstract
The invention relates to the technical field of milling cutter section, and discloses a method for accurately obtaining the section of the end face of a chip groove of an integral end milling cutter based on a pixel matrix method. The invention provides a method for acquiring the section shape of the chip-containing groove end of an integral end mill by a pixel matrix method, which is a novel digital graph solution method, can be used for replacing the traditional analytic calculation theory, predicting important parameters of a machined cutter in advance and simultaneously facilitating the design of the cutter. The method only simulates the relative processing track of the grinding wheel and the cutter workpiece without the traditional complex contact line equation derivation solution, and has simple and convenient operation and small calculation error.
Description
Technical Field
The invention relates to the technical field of section of an end mill, in particular to a spiral groove design and prediction method suitable for cylindrical end mills, drill bits and other products.
Background
The integral end mill is widely used for high-speed machining of complex-profile and integral structural members due to its excellent cutting processability. However, the integral end mill has a complex sharpening process, high manufacturing cost and low efficiency due to the special space geometry. In order to save the trial production cost of the cutter and reduce the development period of the cutter, the cutter needs to be predicted and analyzed in a modeling simulation mode. Because the shape and the structure of the integral end mill are complex, the modeling and the processing are difficult, wherein the processing and the modeling of the chip pocket are particularly complicated. However, in order to ensure the cutting performance of the end mill, structural parameters of the main cutting edge of the tool, such as the rake angle, the core diameter, and the flute width of the helical flute, must be ensured. Therefore, how to accurately and effectively model the chip pocket of the integral end mill and measure and calculate the parameters in advance is particularly critical, and at present, experts and scholars at home and abroad successively provide three solving models: analytical methods, boolean algorithms and graphical methods.
(1) The analytic method is based on the process that the grinding wheel carries out enveloping motion, takes the enveloping principle as a core, takes the condition that the common normal line at the contact point of the grinding wheel and the chip groove passes through the axis of the grinding wheel (namely, the common normal line direction at the contact point is vertical to the relative motion speed direction) as the condition, and obtains the instant contact line equation between the grinding wheel and the chip groove of the end mill through the contour equation of the grinding wheel and the relative motion relation, and obtains the chip groove equation by carrying out spiral motion on the contact line around the axis of the end mill. Reference 1 (b.c. lancet. helicoid theory [ M ] mechanical industry press, 1984) discusses a method for establishing geometric equations of a spiral line, a linear spiral plane, and a circular spiral plane based on a spiral motion concept and the helicoid theory. Comparison document 2, (Rababah M M, Chen Z C, Wang L M.A New Approach to Five-Axis CNCFlue Grinding of Solid End-Mills [ J ]. Materials Science Forum,2012,723: 421-) -432 and comparison document 3, (Khan M R, Tandon P.Three dimensional modeling and fine geometry modeling of a generic End [ J ]. Computer-aid Design,2009,41(2)) created a chip pocket radial cross-section line model by simplifying the integral End mill chip pocket into 2 tangent circular arcs; reference 4, (Pham T, Ko S L.A Practical application for sizing and manufacturing of a ball-End use a 5-Axis CNC Grinding machine [ J ]. Journal of Mechanical science & Technology,2010,24(1): 159. 163) and reference 5, (Rababah M.A Practical and optical application to Programming for Five-Axis Grinding of the End-Mill fuels [ J ]. Mechanical Engineering,2011) describe in detail the application of the analytical method in tool machining and modeling. The calculation method of the model is based on a complex mathematical equation, the constraint conditions of the complex mathematical equation are described by the mathematical model, the solution is too complex, the calculation amount is large, and the stability problem of the numerically-calculated complex nonlinear contact equation is often suffered.
(2) The Boolean operation method is mainly characterized in that the process of processing the end mill by the grinding wheel is decomposed into the process of continuously performing Boolean subtraction operation between the grinding wheel and the milling cutter bar by taking the grinding wheel as a cutter and the milling cutter bar as a target by means of the Boolean operation function of the existing commercial software. Comparing files: kim J H, Park J W, Ko T J.end mill Design and cutting simulation [ J ] Computer-aid Design,2008,40(3):324-333, a slot simulation model is obtained in NX UG by utilizing a secondary development technology, and geometrical parameters of a cutter such as a front angle, a clearance angle and the like are clearly defined. Comparing files: li G, Sun J, Li J. Process modifying of end mill machining based on Boolean method [ J ]. The International Journal of advanced machining Technology,2014,75(5-8): 959-. In the literature, the chip pocket model is established by continuously performing Boolean operations on a grinding wheel and a cutter according to a grinding wheel track motion model in a Boolean (Boolean) operation mode in CAD software or by secondary development to obtain a cutter model for cutter manufacturing and analysis simulation, however, the methods based on three-dimensional Boolean (Boolean) operations generally waste time in the calculation process.
(3) The graphical method is characterized in that a cutter body and a grinding wheel are discretized according to a space geometry correlation theory, the shape of a chip pocket is expressed by adopting a large number of discrete points, each grinding wheel discrete unit is sequentially calculated along the axial direction of the grinding wheel, a series of points on a milling cutter discrete unit are obtained, and peripheral points are taken as the contour points of the chip pocket. Kaldor S8 of Israel disperses the disc grinding wheel into discs with different diameters along the axial direction of the grinding wheel, disperses the milling cutter bar into cylinders with different radii along the radial direction, obtains the intersection point between each grinding wheel disc and the milling cutter bar cylinder in the processing process according to the space geometric relationship, deduces the chip groove method section equation, and takes the outermost point as the outline point of the chip groove. This approach becomes difficult to identify and extract peripheral points.
Disclosure of Invention
Technical problem to be solved
The invention aims to obtain the section shape of the end face of a chip pocket of an integral end mill, a pixel matrix method is an idea of converting a large amount of point cloud data into pixels and then quickly obtaining a point cloud boundary by using the principle of computer image processing, since the converted binary image pixel points are related to the density of the generated point cloud, when the resolution of a computer screen is exceeded, the binary image in the process can not be displayed, but the operation of extracting the boundary by the algorithm is not influenced, the restored profile image after the operation can reach the required precision, and finally the extracted envelope image boundary data is processed and optimized, on the basis of simulating the grooving process of the grinding wheel and combining with the relevant theory of computer graphics, the tool and the feed path thereof are defined, the grinding wheel surface is dispersed into point cloud to form an envelope curve cluster on the tool, and points on the end section are intercepted and converted into a binary image. And converting the pixel coordinates of the extracted boundary to obtain image edge data, and finally obtaining accurate discrete data points of the contour of the groove-shaped section of the cutter.
(II) technical scheme
In order to achieve the purpose, the invention provides the following technical scheme: a method for accurately obtaining the section of the end face of a chip pocket of an integral end mill based on a pixel matrix method is characterized by comprising the following steps:
1) determining the structural geometric parameters of a machined tool, performing the structural geometric parameters and machining installation parameters of a grinding wheel for grinding, performing space coordinate conversion on the tool and the grinding wheel, performing equal-lead spiral motion on the point cloud of the revolving surface of the grinding wheel in a tool workpiece coordinate system around the axis of the tool respectively, solving a curve cluster equation formed by the point cloud of the profile surface of the grinding wheel in the sharpening process, intercepting the curve cluster formed by the point cloud spiral groove by using a plane perpendicular to the axis of the tool, obtaining the point cloud left by the curve cluster on the plane, and obtaining the end section enveloping point cloud picture of the grinding wheel surface enveloping the chip pocket of the tool.
2) And finishing the enveloping of the chip pocket to obtain all enveloping point clouds on the end section, setting a boundary condition as all point data in the diameter of the cutter, obtaining all points of the point clouds of the dense end section-shaped curve cluster in the range of the cutter circle, and obtaining a point cloud matrix and a point cloud image of the curve cluster in the end section shape.
3) And amplifying the point cloud coordinates according to the precision requirement, and in order to carry out binarization processing, amplifying, rounding and translating the point cloud, wherein the amplification factor N is related to the calculation precision requirement. And after amplification, placing the minimum value of the point cloud in the x and y directions at the zero point of the coordinate.
4) And carrying out binarization image processing, wherein when the magnification is too large, the pixel capacity of a display is exceeded, so that the picture cannot be displayed, but the subsequent calculation of the boundary is not influenced, and x is taken outiAnd yiRespectively establishing a binary matrix of the profile point cloud.
5) And combining a mathematical morphology theory, firstly carrying out expansion operation on the binary image to fill the image, and then carrying out corrosion and boundary extraction operation on the filled image to obtain a profile curve of the tool chip pocket.
6) The image is converted into a pixel dot matrix, image scanning is carried out, the position dot matrix of RGB change is obtained, namely, a white pixel point is 0, other RGB pixel points are 1, namely, the outline is extracted, and the position point is the image outline.
7) And optimizing the binary image profile, wherein in order to make the binary image run through in the filling process of the expansion method, a slope method is adopted to remove points which are generated by filling of the expansion method and have deviation with actual profile points, and the points which are actually calculated are reserved, so that the extracted pixel points are closer to the actual profile.
8) And extracting the coordinates of the optimized binary image profile pixel points, reducing the coordinates into point coordinates to obtain the profile of the amplified chip pocket, and dividing the profile by the amplification factor N to obtain the profile of the actual size.
9) And generating a smoothly connected flute section profile curve by performing cubic spline interpolation on the actual profile point, and constructing a continuous and smooth truncated profile curve under the actual size, namely finishing obtaining the truncated shape of the end face of the flute of the integral end mill based on the pixel matrix method.
(III) advantageous effects
Compared with the prior art, the invention provides a method for accurately obtaining the section of the end face of the chip pocket of the integral end mill based on a pixel matrix method, which has the following beneficial effects:
1. the invention provides a method for integrally cutting the groove-shaped end of an end mill based on a pixel matrix method on the basis of a computer geometric technology, and breaks through the traditional mode to obtain a new method for the end surface profile of a chip groove of a cutter. The invention is suitable for the grooving design of helical surface parts such as an integral end mill, a drill bit and the like. The method is mainly realized by the steps that after parameters of a grinding wheel and a cutter are obtained, entity models of a grinding wheel workpiece and a cutter workpiece are established, relative motion relation between the grinding wheel workpiece and the cutter workpiece is determined, space envelope of the grinding wheel workpiece and the cutter workpiece is formed through simulation, and a cutter end section diagram, namely a chip pocket end section envelope picture, is intercepted; then extracting contour pixels by an image scanning method to obtain a contour; and finally, reducing the actual cutting tool chip pocket end section profile according to the calibration.
2. The invention effectively avoids the process of solving the contact line by an analytic method, applies a computer analytic method to the cutter processing design, can effectively avoid the defects of the traditional analytic method (large calculated amount and singular points), and is particularly convenient for designing and simulating the chip pocket formed by the formed grinding wheel.
3. The invention provides a method for acquiring the section shape of the chip-containing groove end of an integral end mill by a pixel matrix method, which is a novel digital graph solution method, can be used for replacing the traditional analytic calculation theory, predicting important parameters of a machined cutter in advance and simultaneously facilitating the design of the cutter. The method only simulates the relative processing track of the grinding wheel and the cutter workpiece without the traditional complex contact line equation derivation solution, and has simple and convenient operation and small calculation error.
Description of the drawings:
FIG. 1 is a view of a grinding wheel mounting position;
FIG. 2 is a cloud point diagram of the section of the end of a grinding wheel enveloping a chip groove;
FIG. 3 is a cloud of envelope points that fit within the radius of the tool;
FIG. 4 is an enlarged and rounded image of the point cloud;
FIG. 5 a binary image;
FIG. 6 is a diagram of a result of a binary image dilation operation;
FIG. 7 is a boundary map of erosion operations after expansion of a binary image;
FIG. 8 is a diagram of actual pixel conditions;
FIG. 9 is a schematic diagram of a distribution rule of contour boundary pixel points;
FIG. 10 is an image after point cloud coordinate values are restored;
fig. 11 interpolates the profile of the actual tool scale.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
The first embodiment is as follows: the following examples will further illustrate the present invention with reference to the accompanying drawings.
In this example, a cylindrical solid end mill chip pocket with a sharpening radius R of 6mm and a helix angle β of 30 ° was taken as an example of a parallel grinding wheel of type 1V1 (grinding wheel radius R is 62.5 and thickness b is 20mm), and the specific parameters are shown in table 1, and the end section shape was obtained by calculation.
Table 1 example initialization parameters
Step 1: determining the structural geometric parameters of the tool to be machined, the structural geometric parameters of the grinding wheel for grinding and machining and mounting parameters. The structural geometrical parameters of the tool comprise: the diameter r, the core diameter rw, the rake angle gamma, the helix angle beta and other relevant parameters of the cutter; the structural geometric parameters of the grinding wheel for grinding comprise: the diameter R of the grinding wheel, the thickness b of the grinding wheel and other parameters; the method comprises the steps of carrying out space coordinate conversion on a cutter and a grinding wheel, and adjusting according to corresponding installation parameters, wherein the space coordinate conversion mainly comprises a center distance a, an eccentricity distance e and an installation angle sigma.
Establishing a workpiece (cutter) coordinate system [ o; x, y, z ] are fixed on a tool workpiece o, so that the z-axis coincides with the workpiece axis, and the coordinate system makes spiral motion along with the workpiece; the grinding wheel coordinate system [ o'; x, Y and Z are fixed on the grinding wheel, and the origin o' is positioned at the center of the circle of the front end face of the grinding wheel. The included angle between the tool axis and the workpiece axis is Σ, the shortest distance (center distance) between the two axes is a, and the shortest distance (eccentricity) between the X axis and the X axis is e. The mounting position is shown in fig. 1, taking a workpiece with a spiral surface machined by the revolution surface of a flat grinding wheel (1a1 grinding wheel) as an example.
Taking a 1a1 grinding wheel as an example, in a grinding wheel coordinate system [ o'; establishing an equation of a grinding wheel revolution surface in X, Y and Z
Wherein: r: the radius of the grinding wheel is greater than the radius of the grinding wheel,
t is a parameter, t ∈ [0, b]B, b: the width of the grinding wheel. Will be provided with
And t, discretizing, so that the grinding wheel surface is a discrete point cloud.
According to the principle of coordinate transformation, the tool work piece coordinate system [ o; x, y, z and a grinding wheel coordinate system [ o'; x, Y, Z ] is transformed into M.
Obtaining the point cloud of the grinding wheel revolution surface in the coordinate system [ o; the coordinates in x, y, z ] are expressed as:
during the sharpening process of the integral end mill chip groove, the grinding wheel makes spiral motion relative to the end mill, namely in a tool workpiece coordinate system [ O; and (xyz), making the point cloud of the grinding wheel revolution surface perform equal-lead spiral motion around the axis z of the cutter respectively, setting theta as a spiral motion parameter, theta as the angle of the grinding wheel rotating around the axis of the milling cutter, and p as a spiral parameter, so as to obtain a curve cluster equation formed by the point cloud of the grinding wheel profile surface in the sharpening process as follows:
a curve cluster formed by the point cloud of the spiral groove is intercepted by using a plane z which is perpendicular to the axis of the cutter as 0, the point cloud left on the plane by the curve cluster is obtained, and the point cloud is introduced by using the plane z as 0 (formula 2.4), so that the following can be obtained: theta ═ zgAnd/p, further obtaining the end section expression of the grinding wheel profile grinding spiral groove left on a plane z equal to 0 as follows:
and obtaining the cloud picture of the end section enveloping points of the grinding wheel surface enveloping cutter chip grooves. As shown in fig. 2.
Step 2: finishing enveloping the chip pocket to obtain all enveloping point clouds on the end section, setting a boundary condition as all point data in the diameter of the cutter, obtaining all points of the point clouds of the denser end section-shaped curve cluster in the range of a cutter circle (r0< ═ r), and obtaining a point cloud matrix of the curve cluster in the end section shape:
wherein:
the resulting point cloud image is shown in fig. 3.
And step 3: the point cloud coordinates are amplified according to the precision requirement, and in order to carry out binarization processing, the point cloud is amplified, rounded and translated, wherein the amplification factor N is related to the calculation precision requirement. After amplification, the minimum value of the point cloud in the x and y directions is placed at the coordinate zero point, and the point cloud matrix is as follows:
wherein: x is the number ofmin＝min(INT(N*xi))；
ymin＝min(INT(N*yi))；
i＝1，2，…，n
The point cloud image obtained after enlargement is shown in fig. 4.
And 4, step 4: carrying out binarization image processing, wherein when the magnification is too large, the pixel capacity of a display is exceeded, so that a picture cannot be displayed, but subsequent calculation of a boundary is not influenced, and x is taken outiAnd yiRespectively establishing a binary matrix of the profile point cloud and actual matrices of x and y as subsequent reference matrices, and performing a pixel processing coordinate transformation process on the point cloud by the following steps:
the binarization matrix is:
the X coordinate matrix is:
the Y coordinate matrix is:
the obtained point cloud is converted into a binary image as shown in fig. 5.
And 5: and extracting and obtaining a profile curve of the chip pocket of the cutter by carrying out expansion and corrosion treatment.
Since the binary image of the point cloud data is not a through region, the image is filled by performing the expansion operation, and then the filled image is subjected to the erosion and boundary extraction operations, the expansion operation result image is shown in fig. 6, and the erosion operation result is shown in fig. 7.
Step 6: and converting the picture into a pixel dot matrix, scanning the image, and acquiring a position dot matrix (white pixel points are 0, and other RGB pixel points are 1) of RGB change, namely extracting the outline, wherein the position point is the outline of the image.
And 7: optimizing binary image profile
Because the binary image is communicated in the filling process of the expansion method, some generated pixel points have deviation with actual profile points, as shown in fig. 8, a step-shaped profile pixel boundary appears, and the points generated by filling of the expansion method are removed by adopting a slope method, and the actually calculated points are reserved.
According to the change of the profile curvature, as shown in fig. 9, in a pixel unit (composed of a row of pixels), the initial pixel (the pixel with the smallest coordinate value Y) is closer to the theoretical profile point. Therefore, the curve obtained by excluding the step-type pixel points is closer to the boundary point of the theoretical contour.
Setting the initial pixel point of the first pixel unit as the initial point, and setting the coordinate of the initial point as P11(x11,y11) (ii) a The initial pixel point coordinate of the nth pixel unit is Pni(xni,yni) Wherein n is 1,2 …; i is a pixel point, and when i is 1,2, …, i is a pixel starting point of the nth pixel unit; then the slope of any pixel point in the pixel point P11 and the nth pixel unit can be defined as:
taking the slope minimum position in each pixel unit,
min(kni)＝[k21,k31,…,kn1](formula 12)
The pixel point corresponding to the position with the minimum slope is the pixel starting point in each pixel unit.
[P21,P31,…,Pn1]＝location(min(kni) (formula 13)
Therefore, the position pixel point with the minimum slope is only reserved for extracting the pixel point with the same longitudinal axis, otherwise, the position pixel point with the maximum slope can be reserved after the curvature of the pixel point is reversed, and the extracted pixel point is closer to the real contour by optimizing the boundary result in the mode.
And 8: extracting coordinates of optimized binary image contour pixel points, reducing the coordinates into point coordinates to obtain the enlarged contour of the chip pocket, and dividing the enlarged contour by the magnification factor N to obtain the contour of the actual size, as shown in FIG. 10.
And step 9: and obtaining the high-precision chip pocket profile by performing cubic spline interpolation on the actual profile point.
And (3) carrying out cubic spline interpolation on the corrected discrete data points to generate a smoothly connected flute section profile curve, and constructing a continuous and smooth actual size lower section profile curve as shown in fig. 11.
The invention can obtain the end section profile of the chip pocket through simulation calculation before formally performing the slotting processing of the cutter, thereby being convenient to check the correctness of the cutter structure and the front angle. Meanwhile, the correct mounting position for machining the cutter can be determined according to the design parameters of the relevant cutter, so that the mounting position of the grinding wheel can be quickly adjusted, the front angle value required by a product is ensured, and the machining requirement and precision are met. Therefore, the method for acquiring the end section shape of the integral end mill based on the pixel matrix method can be used as a powerful tool for machining, simulating and calculating the integral end mill.
Although embodiments of the present invention have been shown and described, it will be appreciated by those skilled in the art that changes, modifications, substitutions and alterations can be made in these embodiments without departing from the principles and spirit of the invention, the scope of which is defined in the appended claims and their equivalents.
Claims (1)
1. The method for accurately obtaining the section of the end face of the chip pocket of the integral end mill based on the pixel matrix method is characterized by comprising the following steps of:
1) determining the structural geometric parameters of a machined tool, performing space coordinate conversion on the tool and the grinding wheel, performing equal-lead spiral motion on the point cloud of the revolving surface of the grinding wheel around the axis of the tool in a tool workpiece coordinate system respectively, solving a curve cluster equation formed by the point cloud of the profile surface of the grinding wheel in the sharpening process, intercepting the curve cluster formed by the point cloud spiral groove by using a plane perpendicular to the axis of the tool, and obtaining the point cloud left by the curve cluster on the plane, thereby obtaining an end section enveloping point cloud picture of the grinding wheel surface enveloping the chip pocket of the tool;
2) finishing the enveloping of the chip pocket to obtain all enveloping point clouds on the end section, setting a boundary condition as all point data in the diameter of the cutter, obtaining all points of the point clouds of the dense end section-shaped curve clusters in the range of the cutter circle, and obtaining a point cloud matrix and a point cloud image of the curve clusters in the end section shape;
3) amplifying the point cloud coordinate according to the precision requirement, in order to carry out binarization processing, amplifying, rounding and translating the point cloud, wherein the amplification factor N is related to the calculation precision requirement, and the minimum value of the point cloud in the x and y directions is placed at the coordinate zero point after amplification;
4) and carrying out binarization image processing, wherein when the magnification is too large, the pixel capacity of a display is exceeded, so that the picture cannot be displayed, but the subsequent calculation of the boundary is not influenced, and x is taken outiAnd yiRespectively establishing a binary matrix of the profile point cloud;
5) firstly, performing expansion operation on the binary image to fill the image by combining a mathematical morphology theory, and then performing corrosion and boundary extraction operation on the filled image to obtain a profile curve of a tool chip pocket;
6) converting the picture into a pixel dot matrix, scanning the image, and acquiring a position dot matrix of RGB change, namely a white pixel point is 0, other RGB pixel points are 1, namely the outline is extracted, and the position point is the outline of the image;
7) optimizing the binary image profile, and removing points which are generated by filling by an expansion method and have deviation with actual profile points by adopting a slope method in order to make the binary image run through in the filling process of the expansion method, and keeping the actually calculated points to make the extracted pixel points closer to the actual profile;
8) extracting coordinates of optimized binary image contour pixel points, reducing the coordinates into point coordinates to obtain the contour of the amplified chip pocket, and dividing the contour by the amplification factor N to obtain the contour of the actual size;
9) and generating a smoothly connected flute section profile curve by performing cubic spline interpolation on the actual profile point, and constructing a continuous and smooth truncated profile curve under the actual size, namely finishing obtaining the truncated shape of the end face of the flute of the integral end mill based on the pixel matrix method.
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