CN117436280A - Wave skirt rapid customization platemaking production method based on virtual technology - Google Patents

Wave skirt rapid customization platemaking production method based on virtual technology Download PDF

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CN117436280A
CN117436280A CN202311625279.8A CN202311625279A CN117436280A CN 117436280 A CN117436280 A CN 117436280A CN 202311625279 A CN202311625279 A CN 202311625279A CN 117436280 A CN117436280 A CN 117436280A
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angle
length
skirt
waist
wave
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刘成霞
裴妍
吴佳瑶
黄昀
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Zhejiang Sci Tech University ZSTU
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Zhejiang Sci Tech University ZSTU
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/20Design optimisation, verification or simulation
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F2111/00Details relating to CAD techniques
    • G06F2111/16Customisation or personalisation
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F2113/00Details relating to the application field
    • G06F2113/12Cloth

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  • Theoretical Computer Science (AREA)
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Abstract

The invention discloses a wave skirt rapid customized platemaking production method based on a virtual technology; the method extracts key variables from the acquired human body point cloud data models with different body types. Establishing a relation between key data of human body type and the length and the shortening of the wavy skirt through linear regression; and establishing a relation between the template angle and the multiple linear regression equation coefficient through linear fitting. In actual plate making, the personal customization of the wave skirt template can be completed by measuring key data information of a wearer of the wave skirt through a formula method only by determining the template angle and the designed skirt length of the designed wave skirt. The quantitative correction mode for the length of the wave skirt provided by the invention is simple and quick in implementation mode, does not need experience, and does not generate extra cost. Meanwhile, the invention considers individual differences of the body types of the wearers, can promote the realization of one person and one edition, and supports the personalized customization of large-scale clothing.

Description

Wave skirt rapid customization platemaking production method based on virtual technology
Technical Field
The invention belongs to the technical field of performance testing of textile clothing, and particularly relates to a rapid customized platemaking production method of a wave skirt based on a virtual technology.
Background
The wave skirt is a common clothing style which is welcomed by female consumers, the surface of the wave skirt looks like a sample plate to be simple in the production and processing process, the wave skirt is convenient to process, but in the actual wearing process, due to the fact that the human body is concave-convex, the phenomenon of uneven skirt arrangement can be generated after people wear the wave skirt, and the skirt arrangement conditions when people with different body types wear the same wave skirt are different. Therefore, the high-quality wave skirt needs to be specially modified for the user so as to ensure that the actual wearing length of the periphery of the wave skirt is consistent when the wave skirt is worn on the body of the user.
The traditional wave skirt plate repairing is completed by a templet with abundant experience according to own experience, and the method has more defects: firstly, the plate repairing process is complex, and the requirement on the operation proficiency of plate-making personnel is high; secondly, when a master plate is repaired, mass production is carried out, the repaired master plate is uniform, but the sizes of wearers are different, the skirt lengths worn by different human bodies are different, and the problem that the actual wearing length of the skirt is greatly deviated from the skirt length of the skirt easily occurs; thirdly, even the same person has even peripheral dimensions as the human body is not the round table, so that the skirt lengths of the actual wearing in different directions have large differences, namely the skirt is easy to have uneven phenomenon; meanwhile, a master often needs to repeatedly manufacture a sample garment to adjust the garment shape in the customized plate making process, and the process generates a plurality of extra costs. Therefore, a special rapid wave skirt plate making mode is required to be designed, the customized design of the template is realized without the participation of a skilled templet, and the private customized production cost of the wave skirt is reduced.
Disclosure of Invention
The invention aims to provide a wave skirt rapid customized platemaking production method based on a virtual technology.
The invention provides a wave skirt rapid customized platemaking production method based on a virtual technology, which comprises the following steps of:
step one, collecting and measuring human body data.
For multiple persons of different sizesAnd carrying out three-dimensional scanning on the body to obtain a plurality of human body point cloud data models. Extracting key variables from the human body point cloud data model; the key variables include the waist-hip distance L and the front waist-hip length L 1 Side waist and buttocks length L 2 Length L of rear waist and buttocks 3 And front waist concave angle theta 2 Angle θ of waist and abdomen 5 And the back waist concave angle theta 7
And step two, obtaining skirt length reduction amounts with different sections.
Constructing wave skirts corresponding to different plate angles, virtually fitting the wave skirts with all the sample plate angles by using a human body point cloud data model, and extracting the profiles of a plurality of axial sections of the wave skirts worn on the human body point cloud data model; each section corresponds to a measurement angle; the measuring angle is the included angle between the cross section and the reference plane passing through the central axis of the wave skirt. Measuring the actual wearing length of the wave skirt at each section; taking the difference between the length of the wave skirt and the actual wearing length of each section as the corresponding length and the shortening amount of the wave skirt.
Step three, establishing a relation between human body shape data and the length and the shortening of the wavy skirt
Taking each key variable determined in the first step as an independent variable, taking the wave skirt length reduction as a dependent variable, performing linear regression analysis, and establishing a multiple linear regression equation; and obtaining a group of linear relation formulas of key variables and the wave skirt length shortening amount under each measuring angle and each template angle.
And fourthly, establishing a relation between the template angle and the multiple linear regression equation coefficient.
And fitting a plurality of template angles under each measurement angle and a multiple linear regression equation coefficient by a curve estimation method to obtain a fitting function taking the template angle as an independent variable and the multiple linear regression equation coefficient as a dependent variable.
And fifthly, plate making production of the wave skirt.
Setting a template angle theta of the designed wave skirt and a design wearing length S; measuring each key variable of the wearer; substituting the set template angle into the fourth step to obtain a fitting function, and obtaining coefficients of a multiple linear regression equation under each measuring angle; measuring in this stepThe obtained key variables of the wearer are respectively substituted into multiple linear regression equations under different measuring angles to obtain the wave skirt length shortening amount y under a plurality of measuring angles i The method comprises the steps of carrying out a first treatment on the surface of the Finding out skirt lengths B of wave skirts in different sections i =S+y i The method comprises the steps of carrying out a first treatment on the surface of the Skirt length B according to template angle theta and different sections i Drawing a wave skirt template; the wave skirt template is utilized to manufacture the wave skirt with different sections and the actual wearing length is basically equal to the designed wearing length.
Preferably, in the fifth step, the process of drawing the two-piece wave skirt template is as follows:
drawing radial line segments corresponding to different sections; the starting point of the radial line segment is on the waistline, and the length of the template skirt length B is corresponding to the section i The method comprises the steps of carrying out a first treatment on the surface of the And connecting the end points of the radial line segments sequentially by using a smooth curve to serve as a lower pendulum curve to obtain the wave skirt template.
Preferably, the selecting process of the key variable determined in the first step is as follows: and carrying out principal component analysis on a plurality of variables of a plurality of measurement items, namely carrying out dimension reduction processing on the variables, and selecting key variables in the variables.
Preferably, the measurement items are divided into an angle level, a circumference level and a length level; the angle level variable comprises the chest and waist angle theta 1 Front waist concave angle theta 2 Angle θ of waist and buttocks 3 Angle of oblique egg theta 4 Angle θ of waist and abdomen 5 Angle θ of abdomen and leg 6 Concave angle theta of rear waist 7 Angle θ of the hip protrusion 8 . Chest and waist angle theta 1 The extraction process of (2) is as follows: the chest-passing end point B is used as a tangent line of the front chest curve, and the included angle formed by the tangent line and the vertical direction is used as a chest-waist angle theta 1 The method comprises the steps of carrying out a first treatment on the surface of the Front waist concave angle theta 2 An included angle formed by connecting the waist concave point C with the chest end point B and the vertical direction; waist-hip angle theta 3 An included angle formed by the span width point D and the vertical direction is connected with the side waist concave point C; oblique egg angle theta 4 An included angle formed by the abdomen convex point E, the buttock convex point I and the width direction of the human body is connected; waist and abdomen angle theta 5 An included angle formed by connecting the front waist midpoint A with the abdomen convex point E and the vertical direction; angle theta of abdomen and leg 6 An included angle formed by connecting the front waist midpoint A with the vertical direction is formed by the most salient point F of the thigh on the side surface; concave angle theta of rear waist 7 Is the back ofThe waist point G is connected with a rear waist concave point H and forms an included angle with the vertical direction; hip protrusion angle theta 8 An included angle formed by the buttocks convex points I and the vertical direction is connected with the rear waist concave points H; the variables of the circumference level include waistline w, abdomen circumference and hip circumference; the variation of the length level includes the waist-hip distance L and the front waist-hip length L 1 Side waist and buttocks length L 2 Length L of rear waist and buttocks 3 The method comprises the steps of carrying out a first treatment on the surface of the The waist-hip distance L is the linear distance between the waistline section and the hip circumference section; front waist and buttocks length L 1 Is the length of the front midline of the waistline section and the hip section; side waist and buttocks length L 2 The length of the side stitch of the waistline section and the hip section and the length L of the back waist and the hip 3 Is the length of the rear midline of the waistline section and the hip section.
Preferably, in the second step, five sections are extracted; the measurement angles of the five sections are 0 °, 45 °, 90 °, 135 ° and 180 °, respectively.
Preferably, in the second step, four wave skirts with different plate angles are constructed in total; the angles of the four templates are 45 degrees, 90 degrees, 180 degrees and 360 degrees respectively.
Preferably, the key variables for linear regression analysis in the third step are extracted key variables of the final clustering center data model of each type after the human body point cloud data models collected in the first step are clustered into multiple types.
Preferably, the human body point cloud data model is copolymerized into five types, namely a crotch width body, an intermediate body, a plump body, a hip process body and an abdominal process body.
Preferably, the multiple linear regression equation constructed in the third step is as follows:
(1) When the template angle θ=45°, the multiple linear regression equation is as follows:
y 1 =1.149+0.055*θ 5 -0.028*L 1
y 2 =0.958+0.073*θ 5 -0.043*L 2
y 3 =1.212+0.128*θ 2 -0.051*L 2
y 4 =1.305+0.035*θ 2 +0.01*θ 7 -0.025*L
y 5 =0.501+0.107*θ 7 -0.018*L 3
(2) When the template angle θ=90°, the multiple linear regression equation is as follows:
y 1 =0.813+0.075*θ 5 -0.018*L 1
y 2 =1.246+0.099*θ 5 -0.024*L 2
y 3 =1.659+0.118*θ 2 -0.039*L 2
y 4 =-0.028-0.091*θ 2 +0.156*θ 7 +0.082*L
y 5 =0.233+0.185*θ 7 -0.028*L 3
(3) When the template angle θ=180°, the multiple linear regression equation is as follows:
y 1 =0.384+0.093*θ 5 -0.009*L 1
y 2 =0.109+0.146*θ 5 -0.015*L 2
y 3 =-0.365+0.326*θ 2 -0.026*L 2
y 4 =-2.221+0.445*θ 2 +0.111*θ 7 -0.06*L
y 5 =1.844+0.239*θ 7 -0.061*L 3
(4) When the template angle θ=360°, the multiple linear regression equation is as follows:
y 1 =1.381+0.294*θ 5 -0.081*L 1
y 2 =1.405+0.765*θ 5 -0.009*L 2
y 3 =1.424+0.106*θ 2 +0.002*L 2
y 4 =-4.387+0.293*θ 2 +0.002*θ 7 +0.189*L
y 5 =0.993+0.285*θ 7 -0.022*L 3
wherein y is 1 、y 2 、y 3 、y 4 、y 5 Wave skirt lengths respectively corresponding to measurement angles of 0 degree, 45 degree, 90 degree, 135 degree and 180 degreeThe amount of shortening.
Preferably, in the fourth step, the template angle is taken as an independent variable, and the fitting function of the fitted curve with the multiple linear regression equation coefficient as the dependent variable at different measurement angles is as follows:
(1) When the measurement angle=0°, the fitting function is as follows:
Y 1 =1.524-0.0309θ+0.000001831θ 2 +0.00000005768θ 3
Y 2 =0.016+0.001θ+0.000007016θ 2 +0.00000001653θ 3
Y 3 =-0.039+0.00000004115θ 2 -0.000000003005θ 3
wherein Y is 1 、Y 2 、Y 3 Constant terms, waist and abdomen angle coefficients and front waist and hip length coefficients in the multiple linear regression equation are respectively corresponding;
(2) At measurement angle=45°, the fitting function is as follows:
Y 1 =-0.905+0.0564θ+0.000347θ 2 +0.000004574θ 3
Y 2 =0.107-0.0045θ+0.00001091θ 2 +0.0000003421θ 3
Y 3 =-0.056-0.0000008761θ 2 -0.00000005791θ 3
wherein Y is 1 、Y 2 、Y 3 Constant terms, waist and abdomen angle coefficients and side waist and hip length coefficients in the multiple linear regression equation are respectively corresponding;
(3) When the measurement angle=90°, the fitting function is as follows:
Y 1 =-1.041+0.075θ-0.001θ 2 +0.000001144θ 3
Y 2 =0.288-0.006θ+0.00005062θ 2 +0.0000001011θ 3
Y 3 =-0.069-0.000001852θ 2 +0.000000003005θ 3
wherein Y is 1 、Y 2 、Y 3 Respectively corresponding to constant term, front waist concave angle coefficient and side in multiple linear regression equationWaist-hip length coefficient;
(4) When the measurement angle=135°, the fitting function is as follows:
Y 1 =2.78-0.034θ+0.00003218θ 2 +0.00000002143θ 3
Y 2 =0.915-0.02θ-0.0000002858θ 3
Y 3 =-0.32+0.009θ-0.00005508θ 2 +0.0000008618θ 3
Y 4 =-0.344+0.01*θ-0.00006957*θ 2 +0.0000001278θ 3
wherein Y is 1 、Y 2 、Y 3 、Y 4 Respectively corresponding to a constant term, a front waist concave angle coefficient, a rear waist concave angle coefficient and a waist-hip distance coefficient in a multiple linear regression equation;
(5) When the measurement angle=180°, the fitting function is as follows:
Y 1 =2.088-0.053θ-0.000000827θ 3
Y 2 =-0.021+0.004*θ-0.00001551θ 2 +0.0000000226θ 3
Y 3 =-0.02-0.0000043θ 2 +0.00000001026θ 3
wherein Y is 1 、Y 2 、Y 3 And the constant term, the back waist concave angle coefficient and the back waist and hip length coefficient in the multiple linear regression equation are respectively corresponding.
Preferably, in the second step, a fan-shaped template or a spiral template is adopted as a template of the wave skirt; under the condition of selecting the spiral template, the spiral template is divided into n whole circular templates and 1 sector circular template for calculation, is a round-down operation.
The invention has the following beneficial effects:
1. the invention derives a platemaking formula by collecting human body point cloud data models of different body types. When in actual plate making, only the designed wave skirt template angle and the designed wearing length are required to be determined, and key variables such as waist-hip distance and the like of a wave skirt wearer can be measured, so that the special wave skirt template for a special person can be rapidly manufactured, and the actual wearing length around the manufactured wave skirt is kept consistent when the manufactured wave skirt is worn on a user.
2. The rapid customized platemaking production method of the wave skirt based on the virtual technology is simple and rapid, does not need the participation of a skilled templet, greatly reduces the cost of customized design production of the wave skirt, namely one person and one edition, and is beneficial to promoting personalized customization of large-scale clothing.
3. The method for producing the wave skirt by rapid customization platemaking based on the virtual technology provided by the invention replaces the traditional manual wave skirt lower hem correction mode by using a formula method, realizes quantitative skirt hem correction without experience, and overcomes the defect that the individual difference of the body type of a wearer is not considered in the traditional correction method.
Drawings
Fig. 1 is a schematic diagram of angle measurement of a human point cloud data model at a circumference level in the first step of the present invention, wherein (a) is a front schematic diagram and (b) is a side schematic diagram;
FIG. 2 is a schematic diagram of a length measurement of a human point cloud data model at a length level in step one of the present invention;
FIG. 3 is a schematic view of a two-piece template according to the present invention when the template angle θ is less than or equal to 360;
FIG. 4 is a schematic diagram of a two-piece pattern splicing mode when the pattern angle θ is greater than 360 °;
FIG. 5 is a graph showing the variation of the length reduction of the wavy skirt after wearing in five typical human body forms, wherein (a) is a crotch width, (b) is an intermediate, (c) is a plump body, (d) is a gluteal protrusion, and (e) is an abdominal protrusion;
FIG. 6 is a schematic diagram of a modified template drawn in accordance with the present invention;
FIG. 7 is a simulated comparison of the present invention before and after correction;
FIG. 8 is a diagram showing the comparison of the objects before and after manual correction.
Detailed Description
The invention is further described below with reference to the drawings and examples.
In this embodiment, the skirt length B i Representing the distance from the waistline to the hypocycloid after skirt tiling; the actual wearing length represents the difference in height between the waistline and the skirt when the skirt is worn on the human body. Because of the concave-convex condition of human body, the actual wearing length is often smaller than the skirt length B i . The design wearing length S is a design goal to be achieved and the actual wearing length of each cross-sectional profile of the finished wave skirt should be equal to or as close as possible to the design wearing length S.
A wave skirt rapid customized platemaking production method based on a virtual technology comprises the following steps:
step one, collecting human body data.
1-1 optimization of Point cloud data
In this example, for young females, more than 2000 young females were used as the test population, and TC was used 2 The three-dimensional human body scanner carries out non-contact acquisition on a tested person, and the acquisition result is a human body point cloud data model; the human body three-dimensional scanning point cloud data model is imported into Geomagic Wrap 2021 software for packaging treatment: filling holes in the point cloud data model by using a polygonal-grid doctor function, and smoothing the surface of the human body by using a polygonal-relaxation function so as to simulate the smoothness of the real skin of the human body and facilitate subsequent measurement. Deleting the data such as the irrelevant arms and the like, and then reconstructing the coordinate system of the point cloud data model.
1-2 determination of measurement items
The angle level, angle measurement items are shown in table 1 and fig. 1.
Table 1 angle measurement items and definitions
The circumference level is measured by selecting 3 items of waistline, abdomen circumference and hip circumference of the lower body form of the human body.
The length layer is obtained by cutting the waistline section and the hip circumference section of the human body, measuring the straight line distance between the two sections and the lengths of the front midline, the side suture line and the rear midline, and defining the straight line distance and the length as the waist-hip distance L and the front waist-hip length L 1 Side waist and buttocks length L 2 Length L of rear waist and buttocks 3 Wherein the length of the anterior midline, the lateral suture, and the posterior midline are measured along the body surface.
1-3 measurement operations
(1) And capturing the front, side and back forms of the human body model by using a 3D snapshot function in Style3D software, marking required measurement characteristic points in the derived picture, and measuring angle level data of the human body point cloud data model.
(2) And measuring the girth level data of the human body point cloud data model by using a measurement-basic circumference measurement function in Style3D software.
(3) The measurement of the waist-hip distance uses the functions of measurement-height difference measurement and measurement-basic length measurement to measure the length level data of the human body point cloud data model.
Step two, cluster analysis and factor analysis
2-1, in order to purposefully provide a correction method for the wave skirt length of young females with different body types, the collected 2000 human body waist and abdomen data are clustered rapidly. The results show that when the aggregation is five, the F value (namely the harmonic average value of the F-measure, the accuracy and the recall) is smaller than 0.05, and the effect is optimal. Finding a final clustering center through the center point corresponding to each cluster, and judging which type the body type belongs to according to the final clustering center; the five types of body types are respectively: crotch width, middle, plump, gluteal and abdominal.
2-2 principal component analysis of 15 measured variables, i.e. of the variablesPerforming dimension reduction processing to find key variables in the dimension reduction processing; the final key variables include waist-hip distance L and front waist-hip length L 1 Side waist and buttocks length L 2 Length L of rear waist and buttocks 3 And front waist concave angle theta 2 Angle θ of waist and abdomen 5 Concave angle theta of rear waist 7 A total of 7 indexes.
Drawing of wave skirt template
According to the difference of the template angles theta of the two-piece type wave skirt single template, the shape of the two-piece type wave skirt single template can be divided into a sector shape and a spiral shape: the template angle theta of the fan-shaped template is less than or equal to 360 degrees, and the cut pieces can be completed on one plane; the template angle theta of the spiral template is more than 360 degrees, and the splicing part of the upper and lower cutting pieces is formed by stretching. And when the template angle theta is more than 360 degrees, the splicing mode of the two-piece type wave skirt template is shown in fig. 4.
3-1 plate making of wave skirt template
As shown in fig. 3, in the case of selecting a fan-shaped template, drawing an arc AOC with O as a center r as a radius, w representing the total waistline of the wave skirt template, and θ representing the template angle; r represents the radius OA, B i The length of the extension section AB of OA is the length of the wave skirt, and the skirt length is the length of the sample plate minus the width of the seam existing at the splice position of the sample plate.
The calculation method of the radius r is derived from a fan-shaped arc length formula:
under the condition of selecting a spiral template, the spiral two-piece wave skirt template with the template angle theta being more than 360 degrees is split into n whole circular template and 1 sector circular template for calculation, and n= [ theta/360 degrees ].
The sum of the circumferences corresponding to the rings in the n whole-ring template is denoted as l 1 The inner arc length of the sector ring template is recorded as l 2 Half of the total waistline w of the wave skirt template is:
equation conversion of the formula (2) can obtain the formula (1), so the formula (1) is suitable for fan-shaped template plate making with the template angle theta less than or equal to 360 degrees and is also suitable for spiral template plate making with the template angle theta more than 360 degrees.
3-2, respectively manufacturing two-piece wave skirt templates with different plate angles theta by using the formula (1) as the intermediate of the crotch wide body, the intermediate, the plump body, the hip protrusion body and the abdominal protrusion body.
Step four, manufacturing a virtual wave skirt
4-1 template drawing
And drawing the wave skirt template by using rich CAD software, and exporting the manufactured cut pieces into a DXF format file, so that the wave skirt template is convenient to be opened in the three-dimensional simulation software.
4-2 virtual try-on
And respectively importing the human body point cloud data model and the DXF wave skirt template which are packaged and processed by the Geomagic Wrap 2021 software into Style3D software.
In this example, the simulated fabric selected an "all-cotton plain cloth" similar to medium-thickness grey cloth with a grammage of 170g/m 2 The thickness is 0.26mm.
4-3 sample skirt model derivation
And (3) exporting the wave skirt template which is simulated in the Style3D software into an obj-format file, so that subsequent analysis is facilitated.
Step five, measuring the skirt length of the virtual wave skirt
5-1 sample skirt panel Block partitioning
The wave skirt template processed in the Style3D software is imported into Geomagic Wrap 2021 software, and the wave skirt template is cut by using a polygonal cutting function and a plane cutting function. The software automatically generates a system plane penetrating through the sagittal plane of the model, the system plane is marked as a 0-degree section, and the measuring angle is the included angle between the section and the reference plane passing through the central axis of the wave skirt. By adjusting the rotation degree of the cross section, planes of 0 degree, 45 degree, 90 degree, 135 degree and 180 degree can be cut at a time, each cross section corresponds to a measuring angle, and the measuring angle is an included angle between the cross section and a reference plane of the central axis of the wave passing skirt. AB is the skirt length with the angle of 0 DEG measured right in front, and CD is the skirt length with the angle of 180 DEG measured right in back. As the sections of 0 degrees and 180 degrees are the same plane, the section of 0 degrees is only required to be rotated for 3 times during actual operation, and the section of all the sections can be cut.
5-2 skirt Length measurement
The coordinate positions of the intersection points of the inner ring and the outer ring of the sample skirt model and the section are marked by using the functions of analyzing the distance and calculating the distance in the Geomagic Wrap 2021 software, and the Y-axis distance difference value (the vertical direction difference value between two points) between the coordinates of the corresponding two points on the inner ring and the outer ring is the actual wearing length C of the section wave skirt i . Wave skirt length B i Subtracting the actual wearing length C of the wave skirt i I.e. the length of the wave skirt after wearing in the section is shortened by an amount y i
5-3 preliminary analysis of measurement data
As shown in fig. 5, a rectangular coordinate system is established by taking the template angle θ as the x axis and the wave skirt length reduction as the y axis, and the variation trend of the wave skirt length reduction after five typical human body forms are worn is made into a line graph, and the variation trend of the wave skirt length reduction is consistent with the body type characteristics of a crotch wide human body.
Step six, establishing a relation between the human body shape data and the length reduction of the wavy skirt
6-1 Linear regression equation establishment
Selecting five typical human body forms to finally cluster central data, and using 7 measurement indexes which are the most representative in the data, namely waist-hip distance L and front waist-hip length L 1 Side waist and buttocks length L 2 Length L of rear waist and buttocks 3 And front waist concave angle theta 2 Angle θ of waist and abdomen 5 Concave angle theta of rear waist 7 And (3) taking the wave skirt length reduction as an independent variable, performing linear regression analysis, and establishing a multiple linear regression equation.
(1) When the template angle θ=45°, the wave skirt length reduction amounts when the measurement angles are 0 °, 45 °, 90 °, 135 °, 180 ° correspond to y in the formulae (3), (4), (5), (6), and (7), respectively 1 ,y 2 ,y 3 ,y 4 ,y 5
y 1 =1.149+0.055*θ 5 -0.028*L 1 (3)
y 2 =0.958+0.073*θ 5 -0.043*L 2 (4)
y 3 =1.212+0.128*θ 2 -0.051*L 2 (5)
y 4 =1.305+0.035*θ 2 +0.01*θ 7 -0.025 x l formula (6)
y 5 =0.501+0.107*θ 7 -0.018*L 3 (7)
(2) When the template angle θ=90°, the wave skirt length reduction amounts when the measurement angles are 0 °, 45 °, 90 °, 135 °, 180 ° correspond to y in the formulae (8), (9), (10), (11), and (12), respectively 1 ,y 2 ,y 3 ,y 4 ,y 5
y 1 =0.813+0.075*θ 5 -0.018*L 1 (8)
y 2 =1.246+0.099*θ 5 -0.024*L 2 (9)
y 3 =1.659+0.118*θ 2 -0.039*L 2 (10)
y 4 =-0.028-0.091*θ 2 +0.156*θ 7 +0.082 x L type (11)
y 5 =0.233+0.185*θ 7 -0.028*L 3 (12)
(3) When the template angle θ=180°, the wave skirt length reduction amounts when the measurement angles are 0 °, 45 °, 90 °, 135 °, 180 ° correspond to y in the formulae (13), (14), (15), (16), and (17), respectively 1 ,y 2 ,y 3 ,y 4 ,y 5
y 1 =0.384+0.093*θ 5 -0.009*L 1 (13)
y 2 =0.109+0.146*θ 5 -0.015*L 2 (14)
y 3 =-0.365+0.326*θ 2 -0.026*L 2 (15)
y 4 =-2.221+0.445*θ 2 +0.111*θ 7 -0.06 x l formula (16)
y 5 =1.844+0.239*θ 7 -0.061*L 3 (17)
(4) When the template angle θ=360°, the wave skirt length reduction amounts at the measurement angles of 0 °, 45 °, 90 °, 135 °, 180 ° correspond to y in the formulae (18), (19), (20), (21), and (22), respectively 1 ,y 2 ,y 3 ,y 4 ,y 5
y 1 =1.381+0.294*θ 5 -0.081*L 1 (18)
y 2 =1.405+0.765*θ 5 -0.009*L 2 (19)
y 3 =1.424+0.106*θ 2 +0.002*L 2 (20)
y 4 =-4.387+0.293*θ 2 +0.002*θ 7 +0.189 x L type (21)
y 5 =0.993+0.285*θ 7 -0.022*L 3 (22)
Determination of 6-2-ary multiple linear regression equation coefficients
In order to make calculation easier, the template angle theta is included in a calculation formula by using a curve estimation method. When the measured angles are the same and the angles of the templates are different, the independent variables of the constructed multiple linear regression equations are the same, and the coefficients are different. The curve estimation uses the template angle theta as an independent variable, and the coefficient of the multiple linear regression equation is used as a dependent variable to construct a curve regression function. And (3) performing linear fitting by using the curve estimation function of the SPSS software, and selecting an optimal curve regression function. Through screening, threeThe fitting degree of the subfunction regression parabola is best, and the square root R of the sum of squares of residual errors between independent variables and dependent variables of the curve regression function 2 Approaching 1, a cubic function is chosen for curve fitting, the basic expression being y=b 0 +b 1 t+b 2 t 2 +b 3 t 3 The independent variable t is a template angle theta, and the dependent variable Y is a coefficient required by a multiple linear regression equation in the corresponding measurement angle.
(1) When the measurement angle=0°, the constant term, the waist-abdomen angle coefficient, and the front waist-hip length coefficient in the multiple linear regression equation correspond to Y in the formulas (23), (24), and (25), respectively 1 、Y 2 、Y 3
Y 1 =1.524-0.0309θ+0.000001831θ 2 +0.00000005768θ 3 (23)
Y 2 =0.016+0.001θ+0.000007016θ 2 +0.00000001653θ 3 (24)
Y 3 =-0.039+0.00000004115θ 2 -0.000000003005θ 3 (25)
(2) When the measurement angle=45°, the constant term, the coefficient of waist and abdomen angle, and the coefficient of side waist and hip length in the multiple linear regression equation correspond to Y in the formulas (26), (27), and (28), respectively 1 、Y 2 、Y 3
Y 1 =-0.905+0.0564θ+0.000347θ 2 +0.000004574θ 3 (26)
Y 2 =0.107-0.0045θ+0.00001091θ 2 +0.0000003421θ 3 (27)
Y 3 =-0.056-0.0000008761θ 2 -0.00000005791θ 3 (28)
(3) When the measurement angle=90°, the constant term, front waist concave angle coefficient, side waist hip length coefficient in the multiple linear regression equation correspond to Y in the formulas (29), (30), and (31), respectively 1 、Y 2 、Y 3
Y 1 =-1.041+0.075θ-0.001θ 2 +0.000001144θ 3 (29)
Y 2 =0.288-0.006θ+0.00005062θ 2 +0.0000001011θ 3 (30)
Y 3 =-0.069-0.000001852θ 2 +0.000000003005θ 3 (31)
(4) When the measurement angle=135°, the constant term, front waist concave angle coefficient, rear waist concave angle coefficient, waist-hip distance coefficient in the multiple linear regression equation correspond to Y in the formulas (32), (33), (34), and (35), respectively 1 、Y 2 、Y 3 、Y 4
Y 1 =2.78-0.034θ+0.00003218θ 2 +0.00000002143θ 3 (32)
Y 2 =0.915-0.02θ-0.0000002858θ 3 (33)
Y 3 =-0.32+0.009θ-0.00005508θ 2 +0.0000008618θ 3 (34)
Y 4 =-0.344+0.01*θ-0.00006957*θ 2 +0.0000001278θ 3 (35)
(5) When the measurement angle=180°, the constant term, the back waist concave angle coefficient, and the back waist hip length coefficient in the multiple linear regression equation correspond to Y in the formulas (36), (37), and (38), respectively 1 、Y 2 、Y 3
Y 1 =2.088-0.053θ-0.000000827θ 3 (36)
Y 2 =-0.021+0.004*θ-0.00001551θ 2 +0.0000000226θ 3 (37)
Y 3 =-0.02-0.0000043θ 2 +0.00000001026θ 3 (38)
In the actual operation process, the coefficient of the multiple linear regression equation with the measurement angles of 0 degree, 45 degree, 90 degree, 135 degree and 180 degree can be obtained only by determining the variable of the template angle theta. Substituting 7 most representative measurement indexes into a multiple linear regression equation to obtain the length and the shortening amount of the wave skirt at different measurement angles, wherein the designed wearing length S of the wave skirt plus the length and the shortening amount of the wave skirt are the corrected wave skirt length B i . The wearing length S is designed to be a preset value.
Step seven, verifying the formula actual operation and correction effect
7-1 formula application demonstration
In this embodiment, the wearing length S is designed to be 60cm and the template angle θ is designed to be 45 °.
(1) According to the first step, the measured person is measured to obtain 15 body type indexes.
(2) Determining radius r of wave skirt template
In this example, substituting the template angle θ=45°, w= 69.43cm into (1) gives the wave skirt template radius r=44.20 cm.
(3) Substituting formula to calculate coefficient of multiple linear regression equation
Substituting the template angle θ=45° into the equation (19) — (31) to calculate each coefficient of the multiple linear regression equation when the measurement angles are 0 °, 45 °, 90 °, 135 ° and 180 °.
(4) Substituting the wave skirt length shortening amount into a linear regression equation to calculate
Extracting 15 measurement indexes of waist-hip distance L and front waist-hip length L 1 Side waist and buttocks length L 2 Length L of rear waist and buttocks 3 And front waist concave angle theta 2 Angle θ of waist and abdomen 5 Concave angle theta of rear waist 7 . Substituting the obtained linear regression coefficient and the seven extracted measurement indexes into a multiple linear regression equation, and calculating the wave skirt length reduction amounts of different measurement angles when the obtained template angle theta=45°, wherein the wave skirt length reduction amounts are as shown in table 2, and the following steps are sequentially carried out from small to large: the angle of 0 DEG is more than 45 DEG and more than 135 DEG is more than 180 DEG and more than 90 DEG, and the measured person is a young female, the abdomen is flat, so that the front middle length is shortened less, the waist is less in neoplasm, and the back middle direction is provided with prominent buttocks, and more quantity is needed to be increased in the side surface and the back middle.
Table 2 skirt length reduction when the subject applies a wave skirt with a template angle θ of 45 °
(5) The wave skirt length corresponding to different sections is shortened and the designed wearing length is added to obtain the corrected skirt length
The corrected template is made by using the CAD software of the richness instrument. When the measuring angles are 0 degrees, 45 degrees, 90 degrees, 135 degrees and 180 degrees, the calculated skirt length reduction amounts of different angles are respectively added to the designed wearing length of the wave skirt of 60cm, and the wave skirt length B after correction of each measuring angle can be obtained i . Drawing radial line segments corresponding to different sections; the starting point of the radial line segment is on the waistline, and the length of the template skirt length B is corresponding to the section i The method comprises the steps of carrying out a first treatment on the surface of the Template skirt length B i The skirt length shortening amount y under different angles calculated in the step six can be utilized i And adding to obtain the final product.
As shown in fig. 6, the process of drawing the two-piece wave skirt template is as follows: the angle of the single sample plate is theta, r is a radius (r=90 DEG w/theta pi, pi takes 180 DEG) and draws an arc AOC, w represents the total waistline of the wave skirt sample plate, and theta represents the sample plate angle; skirt length B corresponding to section with measuring angle of 0 DEG 1 For the length of the extension AB of OA, the skirt length B corresponding to a section with an angle of 180 DEG is measured 4 For the length of the extension section CD of OC, the skirt length B corresponding to a section with an angle of 45 DEG is measured 2 For the length OF the extension EF OF OF, the skirt length B corresponding to a section with an angle OF 90 DEG is measured 3 The length of the extension GH of OH is measured to be the skirt length B corresponding to the section with the angle of 135 DEG 4 The extension AB, CD, EF, GH, IJ is the length of the extension IJ of OJ, and is the five radial line segments. And sequentially connecting the end points of the five radial line segments by using a smooth curve to serve as a lower pendulum curve to obtain the wave skirt template. The method is suitable for sector template plate making with template angle theta less than or equal to 360 degrees and also suitable for theta>360 DEG spiral template plate making.
7-2 verification of template correction effect
And the skirt length correction effect provided by the embodiment is verified by using two modes of Style3D simulation and manual correction.
(a) Style3D simulation
As shown in fig. 7, the wave skirt templates before and after correction are respectively led into Style3D software for try-on, so that the corrected wave skirt hem is intuitively seen to be flatter and meets the design requirement of the wave skirt length. The corrected wave skirt template is stored in obj format, and is imported into Geomagic Wrap 2021 software to measure the length of the wave skirt, and the result is recorded in Table 3, so that the wave skirt hem before correction is not flush, and the actual wearing length of the wave skirt with the rest three measuring angles is shorter except that the measuring angle is 0 degrees. The actual wearing length of the wave skirt at each measurement angle after correction is closer to the designed wearing length of 60cm, and the actual wearing length difference of the wave skirt between adjacent measurement angles is smaller.
Table 3Style3D software simulates the wave skirt Length measurement (cm)
(b) Manual correction
As shown in FIG. 8, the original template was lengthened by 5cm (for manual trimming of the hem) on the basis of a 60cm design wear length, i.e., the skirt length was 65cm. The clothing professionals conduct the correction of the lower hem in a manual mode, and the lower hem is guaranteed to be flush while the actual wearing length of the wave skirt is 60 cm. And determining a plurality of length mark points at the lower hem during manual correction. After the length mark points of one circle are determined, the wave group template is taken down, and discrete mark points are connected by a round-smooth curve through a curve ruler to form a corrected lower swing curve. And placing a slit 1cm below the manually corrected wave skirt, trimming the template, and buckling and scalding the slit to obtain a length-corrected wave skirt, subtracting the corrected length from the length before correction of the wave skirt, and subtracting the slit 1cm from the length before correction of the wave skirt, wherein the actual corrected cut length is obtained, and the result is shown in Table 4. The feasibility of the invention is further verified by checking that the result after manual correction is similar to the result after correction of the invention.
Table 4 Manual correction of the measured length (cm) of the wave skirt before and after
The foregoing description of the preferred embodiments of the present invention should not be taken as limiting the scope of the invention, but rather should be understood to cover all modifications, equivalents, and alternatives falling within the scope of the invention as defined by the following description and drawings, or by direct or indirect application to other relevant art(s).

Claims (10)

1. The invention provides a wave skirt rapid customized platemaking production method based on a virtual technology, which is characterized by comprising the following steps of: which comprises the following steps:
step one, collecting and measuring human body data;
three-dimensional scanning is carried out on a plurality of human bodies with different body types to obtain a plurality of human body point cloud data models; extracting key variables from the human body point cloud data model; the key variables include the waist-hip distance L and the front waist-hip length L 1 Side waist and buttocks length L 2 Length L of rear waist and buttocks 3 And front waist concave angle theta 2 Angle θ of waist and abdomen 5 And the back waist concave angle theta 7
Step two, obtaining skirt length reduction amounts of different sections;
constructing wave skirts corresponding to different plate angles, virtually fitting the wave skirts with all the sample plate angles by using a human body point cloud data model, and extracting the profiles of a plurality of axial sections of the wave skirts worn on the human body point cloud data model; each section corresponds to a measurement angle; the measuring angle is an included angle between the section and a reference plane passing through the central axis of the wave skirt; measuring the actual wearing length of the wave skirt at each section; taking the difference value of the skirt length of the wave skirt and the actual wearing length of each section as the corresponding wave skirt length reduction amount of each section;
thirdly, establishing a relation between the human body shape data and the length and the shortening of the wavy skirt;
taking each key variable determined in the first step as an independent variable, taking the wave skirt length reduction as a dependent variable, performing linear regression analysis, and establishing a multiple linear regression equation; obtaining a group of linear relation formulas of key variables and wave skirt length shortening amount under each measuring angle and each template angle;
step four, establishing a relation between the template angle and a multiple linear regression equation coefficient;
fitting a plurality of template angles under each measurement angle and a multiple linear regression equation coefficient by a curve estimation method to obtain a fitting function taking the template angle as an independent variable and the multiple linear regression equation coefficient as a dependent variable;
step five, plate making production of the wave skirt;
setting a template angle theta of the designed wave skirt and a design wearing length S; measuring each key variable of the wearer; substituting the set template angle into the fourth step to obtain a fitting function, and obtaining coefficients of a multiple linear regression equation under each measuring angle; substituting each key variable of the wearer measured in the step into multiple linear regression equations under different measurement angles to obtain the wave skirt length shortening amount y under a plurality of measurement angles i The method comprises the steps of carrying out a first treatment on the surface of the Finding out skirt lengths B of wave skirts in different sections i =S+y i The method comprises the steps of carrying out a first treatment on the surface of the Skirt length B according to template angle theta and different sections i Drawing a wave skirt template; and manufacturing the wave skirt by using the wave skirt template.
2. The virtual technology-based rapid customized platemaking production method for the wave skirt, which is characterized by comprising the following steps of: in the fifth step, the process of drawing the wave skirt template is as follows:
drawing radial line segments corresponding to different sections; the starting point of the radial line segment is on the waistline, and the length of the radial line segment is the skirt length B of the corresponding section i The method comprises the steps of carrying out a first treatment on the surface of the And connecting the end points of the radial line segments sequentially by using a smooth curve to serve as a lower pendulum curve to obtain the wave skirt template.
3. The virtual technology-based rapid customized platemaking production method for the wave skirt, which is characterized by comprising the following steps of: the key variable selection process determined in the first step is as follows: and carrying out principal component analysis on a plurality of variables of a plurality of measurement items, namely carrying out dimension reduction processing on the variables, and selecting key variables in the variables.
4. The method for producing the wave skirt rapid customization platemaking based on the virtual technology according to claim 3,the method is characterized in that: the measurement items are divided into an angle layer, a circumference layer and a length layer; the angle level variable comprises the chest and waist angle theta 1 Front waist concave angle theta 2 Angle θ of waist and buttocks 3 Angle of oblique egg theta 4 Angle θ of waist and abdomen 5 Angle θ of abdomen and leg 6 Concave angle theta of rear waist 7 Angle θ of the hip protrusion 8 The method comprises the steps of carrying out a first treatment on the surface of the Chest and waist angle theta 1 The extraction process of (2) is as follows: the chest-passing end point B is used as a tangent line of the front chest curve, and the included angle formed by the tangent line and the vertical direction is used as a chest-waist angle theta 1 The method comprises the steps of carrying out a first treatment on the surface of the Front waist concave angle theta 2 An included angle formed by connecting the waist concave point C with the chest end point B and the vertical direction; waist-hip angle theta 3 An included angle formed by the span width point D and the vertical direction is connected with the side waist concave point C; oblique egg angle theta 4 An included angle formed by the abdomen convex point E, the buttock convex point I and the width direction of the human body is connected; waist and abdomen angle theta 5 An included angle formed by connecting the front waist midpoint A with the abdomen convex point E and the vertical direction; angle theta of abdomen and leg 6 An included angle formed by connecting the front waist midpoint A with the vertical direction is formed by the most salient point F of the thigh on the side surface; concave angle theta of rear waist 7 An included angle formed by the rear waist concave point H and the vertical direction is connected with the rear waist point G; hip protrusion angle theta 8 An included angle formed by the buttocks convex points I and the vertical direction is connected with the rear waist concave points H; the variables of the circumference level include waistline w, abdomen circumference and hip circumference; the variation of the length level includes the waist-hip distance L and the front waist-hip length L 1 Side waist and buttocks length L 2 Length L of rear waist and buttocks 3 The method comprises the steps of carrying out a first treatment on the surface of the The waist-hip distance L is the linear distance between the waistline section and the hip circumference section; front waist and buttocks length L 1 Is the length of the front midline of the waistline section and the hip section; side waist and buttocks length L 2 The length of the side stitch of the waistline section and the hip section and the length L of the back waist and the hip 3 Is the length of the rear midline of the waistline section and the hip section.
5. The virtual technology-based rapid customized platemaking production method for the wave skirt, which is characterized by comprising the following steps of: five sections are extracted in the second step; the measurement angles of the five sections are 0 °, 45 °, 90 °, 135 ° and 180 °, respectively.
6. The virtual technology-based rapid customized platemaking production method for the wave skirt, which is characterized in that: constructing four wave skirts with different plate angles in the second step; the angles of the four templates are 45 degrees, 90 degrees, 180 degrees and 360 degrees respectively.
7. The virtual technology-based rapid customized platemaking production method for the wave skirt, which is characterized by comprising the following steps of: the key variables for linear regression analysis in the step three are extracted key variables of the final clustering center data model of each type after the human body point cloud data models acquired in the step one are gathered into five types; the five human body point cloud data models are crotch width body, intermediate body, plump body, gluteal protrusion body and abdominal protrusion body respectively.
8. The virtual technology-based rapid customized platemaking production method for the wave skirt, which is characterized by comprising the following steps of: the multiple linear regression equation constructed in the third step is as follows:
(1) When the template angle θ=45°, the multiple linear regression equation is as follows:
y 1 =1.149+0.055*θ 5 -0.028*L 1
y 2 =0.958+0.073*θ 5 -0.043*L 2
y 3 =1.212+0.128*θ 2 -0.051*L 2
y 4 =1.305+0.035*θ 2 +0.01*θ 7 -0.025*L
y 5 =0.501+0.107*θ 7 -0.018*L 3
(2) When the template angle θ=90°, the multiple linear regression equation is as follows:
y 1 =0.813+0.075*θ 5 -0.018*L 1
y 2 =1.246+0.099*θ 5 -0.024*L 2
y 3 =1.659+0.118*θ 2 -0.039*L 2
y 4 =-0.028-0.091*θ 2 +0.156*θ 7 +0.082*L
y 5 =0.233+0.185*θ 7 -0.028*L 3
(3) When the template angle θ=180°, the multiple linear regression equation is as follows:
y 1 =0.384+0.093*θ 5 -0.009*L 1
y 2 =0.109+0.146*θ 5 -0.015*L 2
y 3 =-0.365+0.326*θ 2 -0.026*L 2
y 4 =-2.221+0.445*θ 2 +0.111*θ 7 -0.06*L
y 5 =1.844+0.239*θ 7 -0.061*L 3
(4) When the template angle θ=360°, the multiple linear regression equation is as follows:
y 1 =1.381+0.294*θ 5 -0.081*L 1
y 2 =1.405+0.765*θ 5 -0.009*L 2
y 3 =1.424+0.106*θ 2 +0.002*L 2
y 4 =-4.387+0.293*θ 2 +0.002*θ 7 +0.189*L
y 5 =0.993+0.285*θ 7 -0.022*L 3
wherein y is 1 、y 2 、y 3 、y 4 、y 5 The wave skirt length reduction amounts respectively correspond to the wave skirt length reduction amounts when the measurement angles are 0 degrees, 45 degrees, 90 degrees, 135 degrees and 180 degrees.
9. The virtual technology-based rapid customized platemaking production method for the wave skirt, which is characterized by comprising the following steps of: in the fourth step, the template angle is taken as an independent variable, and the fitting function of the fitted curve with the multiple linear regression equation coefficient as the dependent variable at different measuring angles is as follows:
(1) When the measurement angle=0°, the fitting function is as follows:
Y 1 =1.524-0.0309θ+0.000001831θ 2 +0.00000005768θ 3
Y 2 =0.016+0.001θ+0.000007016θ 2 +0.00000001653θ 3
Y 3 =-0.039+0.00000004115θ 2 -0.000000003005θ 3
wherein Y is 1 、Y 2 、Y 3 Constant terms, waist and abdomen angle coefficients and front waist and hip length coefficients in the multiple linear regression equation are respectively corresponding;
(2) At measurement angle=45°, the fitting function is as follows:
Y 1 =-0.905+0.0564θ+0.000347θ 2 +0.000004574θ 3
Y 2 =0.107-0.0045θ+0.00001091θ 2 +0.0000003421θ 3
Y 3 =-0.056-0.0000008761θ 2 -0.00000005791θ 3
wherein Y is 1 、Y 2 、Y 3 Constant terms, waist and abdomen angle coefficients and side waist and hip length coefficients in the multiple linear regression equation are respectively corresponding;
(3) When the measurement angle=90°, the fitting function is as follows:
Y 1 =-1.041+0.075θ-0.001θ 2 +0.000001144θ 3
Y 2 =0.288-0.006θ+0.00005062θ 2 +0.0000001011θ 3
Y 3 =-0.069-0.000001852θ 2 +0.000000003005θ 3
wherein Y is 1 、Y 2 、Y 3 Respectively corresponding to a constant term, a front waist concave angle coefficient and a side waist and hip length coefficient in a multiple linear regression equation;
(4) When the measurement angle=135°, the fitting function is as follows:
Y 1 =2.78-0.034θ+0.00003218θ 2 +0.00000002143θ 3
Y 2 =0.915-0.02θ-0.0000002858θ 3
Y 3 =-0.32+0.009θ-0.00005508θ 2 +0.0000008618θ 3
Y 4 =-0.344+0.01*θ-0.00006957*θ 2 +0.0000001278θ 3
wherein Y is 1 、Y 2 、Y 3 、Y 4 Respectively corresponding to a constant term, a front waist concave angle coefficient, a rear waist concave angle coefficient and a waist-hip distance coefficient in a multiple linear regression equation;
(5) When the measurement angle=180°, the fitting function is as follows:
Y 1 =2.088-0.053θ-0.000000827θ 3
Y 2 =-0.021+0.004*θ-0.00001551θ 2 +0.0000000226θ 3
Y 3 =-0.02-0.0000043θ 2 +0.00000001026θ 3
wherein Y is 1 、Y 2 、Y 3 And the constant term, the back waist concave angle coefficient and the back waist and hip length coefficient in the multiple linear regression equation are respectively corresponding.
10. The virtual technology-based rapid customized platemaking production method for the wave skirt, which is characterized by comprising the following steps of: in the second step, a template of the wave skirt adopts a fan-shaped template or a spiral template; under the condition of selecting the spiral template, the spiral template is divided into n whole circular templates and 1 sector circular template for calculation, is a round-down operation.
CN202311625279.8A 2023-11-30 2023-11-30 Wave skirt rapid customization platemaking production method based on virtual technology Pending CN117436280A (en)

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