CN101103854A - Personality shoe last model generating method for integrating three-dimension foot-shaped global parameter and local cross section regulation - Google Patents
Personality shoe last model generating method for integrating three-dimension foot-shaped global parameter and local cross section regulation Download PDFInfo
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Abstract
The invention discloses a comprehensive foot profile three-dimensional individualized shoe tree model generation method for adjusting global parameter and local cross section. The method is taken in the following steps: 1, a three-dimensional standard shoe tree model and a user foot profile model are read in; 2, the foot profile parameter of the read-in foot profile model in the step 1 is measured and the shoe tree model parameter is calculated according to the foot profile parameter, then the shoe tree model is deformed under the drive of the shoe tree model parameter; 3, position control points are respectively defined for the foot profile model and the shoe tree model formed in the step 2; 4, the foot profile model is aligned with the shoe tree model in accordance with a match position reference point; 5, the section of the key position of the foot profile model is defined; 6, the section got in the step 5 and deform the shoe tree model is analyzed on the basis of the section; 7, the three-dimensional shoe tree model designed well is output. Based on the thought of stepwise refinement, the invention generates the individualized shoe tree model with high matching level according to the foot profile of the user and changes the actuality of rough classification and less comfort in the traditional shoe tree generation method.
Description
Technical Field
The invention relates to a method for generating a three-dimensional shoe tree model, in particular to a method for generating a personalized shoe tree model by integrating global parameters and local cross section adjustment of a three-dimensional foot shape.
Background
In the conventional last manufacturing method, as for the generation of last data, the last is manufactured in large scale by a large-scale shoe-lasting machine based on a code length specified by the national standard and divided into a wide-foot type and a narrow-foot type. There are many disadvantages:
1) The matching degree of the foot lasts is rough. Because the parameters for making the shoe last are few, only one code is added according to the foot length plus 5mm, and the width classification is added, but the human foot has great individual difference, the shoe last can not be carefully matched with the opposite foot type, especially some individual foot types, and the proper shoe can not be found due to the poor matching degree with the standard shoe last.
2) The technology content is low. The standard shoe trees are generated in a large scale by using a method of shoe tree carving by a shoe tree carving machine, single labor is taken as a main body, so that the shoe making industry cannot be switched from labor intensive industry to technology intensive industry, the shoe making industry is very lagged behind, and scientific and technological factors need to be invested urgently.
These shortcomings lead to the decline of the competitive power of the shoe-making industry in China in the market, and only the price can be reduced to compete with foreign shoe-making units, so that the obtained profit is lower and lower, and the vicious circle is developed.
The method for generating the personalized shoe tree model by integrating the global parameters and the local cross section adjustment of the three-dimensional foot shape is characterized in that a standard shoe tree model is driven to be preliminarily deformed by shoe tree parameters based on key data of an individual foot shape, and the shape of the shoe tree model is visually adjusted according to comparative analysis data of the cross section of a shoe tree, so that the personalized shoe tree model which is completely matched with the three-dimensional foot shape of a user is generated.
The basis of the adjustment of the three-dimensional foot shape global parameters and the local cross section on the standard shoe tree is the relation between the foot shape and the shoe tree, and the foot shape comfort rule is met. The foot shape and last are matched mainly on several parameters:
1) The foot length is matched with the last length. The foot length is the basis for setting the shoe size and is also the main basis for designing the shoe tree. In daily life, the length of the foot is increased under the load state of the foot, and the bending radius of the foot is smaller than that of the sole when the user walks, namely, the toes move forwards in the shoe when the user walks. Therefore, the shoe must have a certain amount of mobility, i.e., the last length must be longer than the foot length.
2) The foot circumference is matched with the shoe last circumference. The foot circumference and the last circumference are matched mainly in the following two aspects: the foot sole periphery is matched with the shoe last periphery, and the foot tarsal periphery is matched with the shoe last tarsal periphery. The plantar circumference of the foot is the main sign of foot emaciation. The metatarsal-peripherial joint is one of the main parts bearing the weight and labor load of human body, and is also the key part of bending when walking. Therefore, whether the size of the metatarsal circumference and the arrangement of the flesh of the shoe tree are reasonable or not affects the wearing comfort, can cause early damage of the metatarsal part of the shoe, and can seriously abrade the skin of the metatarsophalangeal part of the foot. On the matching of the foot tarsal circumference and the last tarsal circumference, the size of the last tarsal circumference greatly affects whether the shoe fits the foot comfortably or not. The last is too big in the tarsal aspect, the shoe is not followed by the foot, but too small in the tarsal aspect and pressed on the upper surface of the foot. The proper last with the dorsum circumference and the meat body at the position are reasonably arranged, so that the foot can not be rushed forward or the surface of the presser foot can be prevented, and the arch of the foot can be supported.
3) The foot width is matched with the width of the shoe last. The width of the foot is changed along with the size of the foot sole circumference, so the width of the shoe last is changed along with the change of the foot sole circumference. The width of each part of the shoe tree is determined, and the relation between the foot movement and the stillness is also considered according to the foot shape rule. The matching of the foot width and the shoe last width is to pay attention to the following aspects: the foot type basic width is matched with the shoe last type basic width, the foot type big toe inner width and the little toe outer width are matched with the shoe last type big toe inner width and the little toe outer width, the foot type flank width is matched with the shoe last type flank width, and the foot type heel center full width is matched with the shoe last type heel center full width.
5) The height of the foot is matched with that of the shoe last. In respect of noting the matching of the foot height and the last height, the following parameters are noted: the height of the heel convex point is matched with that of the last heel convex point, the height of the forefoot tarsal bone convex point is matched with that of the last forefoot tarsal bone convex point, the height of the first metatarsophalangeal joint of the foot is matched with that of the first metatarsophalangeal joint of the last, and the height of the big toe of the foot is matched with that of the big toe of the last.
When the shoe last model is adjusted according to the local cross section, cross sections are generated at key positions of the foot model and the shoe last model, and the cross sections are matched. These cross sections are mainly: a cross section of a thumb part, a cross section of a little toe end part, a cross section of a first metatarsophalangeal part, a cross section of a fifth metatarsophalangeal part, a cross section of a tarsal bone part and a cross section of a waist pit part.
According to the comfort analysis of the cross section, the adjustment can be intuitively carried out according to the cross section part with poor matching degree of the personalized foot and the standard shoe tree and possibly causing uncomfortable problems based on the parameters of the cross section. And gradually refining the adjustment of the shoe tree model through the deformation of the width, the height and the girth of the shoe tree model at the cross section to obtain the personalized shoe tree model which accords with the foot shape of the user.
According to key three-dimensional foot type data and cross section comparison data of a foot type model and a shoe tree model, a computer aided design technology and a traditional shoe making process habit are combined, so that a method for generating the shoe tree model can be applied to the shoe making industry, the shoe making industry is combined with science and technology, the current situations that the matching degree of the foot type and the shoe tree is rough and the science and technology content is low are changed, and a bad error zone of the traditional shoe making industry is removed.
The method for deforming the shoe tree model mainly adopts a curved surface deformation technology based on target parameters. The main process framework is as follows:
1) A standard last model is read in.
2) And (5) synthesizing the three-dimensional foot type global parameters of the standard shoe tree model for preliminary deformation.
3) The foot model and the shoe last model are aligned to generate a cross section matching the foot model and the shoe last model.
4) And analyzing the parameters of the cross section, adjusting the shoe tree model based on the local cross section, and gradually refining.
Disclosure of Invention
The invention aims to provide a method for generating a personalized shoe tree model by integrating global parameters of a three-dimensional foot shape and local cross section adjustment.
The method comprises the following steps:
1) Reading in a three-dimensional standard shoe tree model and a foot model of a user;
2) Measuring foot type parameters of the read foot type model, obtaining shoe last type parameters through the foot type parameters, and driving the shoe last model to deform by using the shoe last type parameters to obtain a new shoe last model generated on the basis of the three-dimensional foot type parameters of the user;
3) Respectively obtaining the position control points of the shoe tree model and the foot model read in the step 1) for the generated shoe tree model and the foot model;
4) Matching the obtained foot model with the position control points at the corresponding positions of the shoe tree model so as to adjust the position of the foot model, aligning the positions of the foot model and the shoe tree model, and deforming the foot model so as to match the sole of the shoe tree and accurately align the shoe tree model and the foot model;
5) Obtaining the cross sections of the key positions of the shoe tree model and the foot model by transversely cutting the generated aligned foot model and shoe tree model, wherein the key positions are positions which have great influence on comfort in the shoe manufacturing industry;
6) Deforming the shoe tree model based on the cross section parameters, namely, performing comfort analysis on the matching degree of the cross sections based on the foot model and the shoe tree model, checking the height, the width and the girth parameters of the foot model and the shoe tree model at the position of the cross section, and changing the parameters of the shoe tree model at the cross section to adjust the shape of the shoe tree model;
7) And outputting the designed three-dimensional shoe tree model.
The object of the three-dimensional generation of the invention is to adjust the shape of the surface model according to the target parameter specification and through the cross section. For conventional mass production of standard lasts, the object of the invention is to generate a last model with a high last matching degree from a personalized three-dimensional foot shape. Aiming at the current situations of rough matching degree and low technological content of a traditional production method, the adopted method is that according to key three-dimensional foot type data of a user and cross section comparison data of a foot type model and a shoe tree model, a computer aided design technology is combined with the traditional shoe making process habit, the shoe tree model is subjected to surface deformation based on target parameters, and an individualized shoe tree model is obtained through gradual refinement. The invention can quickly generate the personalized three-dimensional shoe tree model matched with the foot shape. While most of the human feet can be treated quickly, the individual shoe tree models can be generated for various special foot types such as deformed feet, disabled feet and the like. Meanwhile, the invention solves the problem that the matching of the foot model and the shoe tree model can only be adjusted after the shoe tree entity is obtained by the shoe manufacturer at present, and effectively saves manpower and financial resources for the shoe manufacturing industry.
Drawings
FIG. 1 is a grid representation of the invention read into a three-dimensional standard last model;
FIG. 2 is a point on the last model curve during deformation according to foot width parameters;
FIG. 3 is a point on the last model curve during deformation according to girth parameters;
FIG. 4a is a point on the cross section when deformed according to girth parameters;
FIG. 4b is a deformation process of a point on a cross section in the X direction when deformed according to a girth parameter;
FIG. 5 is a flow chart of the overall operation steps of the present invention;
FIG. 6 is a standard last model inputted in an example of the present invention;
FIG. 7 is a modified last model driven by last parameters obtained from three-dimensional foot shape parameters according to an example embodiment of the present invention;
FIG. 8a is a schematic illustration of a longitudinal section and a position control point of a instep line and a last line created in an example embodiment of the present invention;
FIG. 8b is a schematic illustration of a longitudinal section of an instep line and adjusting foot position control points generated in an example embodiment of the present invention;
FIG. 9 is a schematic view illustrating alignment of a last model and a foot model by instep line and instep line longitudinal section control points according to an example embodiment of the present invention;
FIG. 10 is a schematic view illustrating the fitting of a sole of a foot to a last in an exemplary embodiment of the present invention;
FIG. 11 is a cross-sectional view of the foot model and last model aligned in all the particular positions in accordance with the exemplary embodiment of the present invention;
FIG. 12 is a sectional view of a last model being checked and adjusted on a cross section of a metatarsal circumference in accordance with an example embodiment of the present invention;
fig. 13 is a sectional view of the checking and adjusting of the last model on the tarsal cross-section in the embodiment of the present invention.
Detailed Description
The invention discloses a three-dimensional foot type model and a method for measuring foot type parameters and obtaining last type parameters through the foot type parameters, and refers to the invention content of application publication No. CN 200510061272.3. After obtaining the three-dimensional foot model and the three-dimensional foot parameters, the standard shoe tree model is driven by the shoe tree parameters to deform, then the foot model and the shoe tree model are aligned, parameter analysis is carried out based on the cross section, and the shoe tree model is deformed based on the cross section parameters.
The steps of the personalized shoe tree model generation method integrating the global parameters of the three-dimensional foot shape and the local cross section adjustment are as follows (see fig. 5):
1) Reading a three-dimensional standard shoe tree model (see figure 1) and a foot model of a user, wherein the three-dimensional standard shoe tree model is obtained by scanning a standard shoe tree;
2) Measuring foot shape parameters of the foot shape model read in the step 1), obtaining shoe last shape parameters through the foot shape parameters, driving the shoe last model to deform by using the shoe last shape parameters, and obtaining a new shoe last model generated based on the three-dimensional foot shape parameters of the user;
3) Respectively obtaining position control points of the shoe tree model and the foot model for the shoe tree model generated in the step 2) and the foot model read in the step 1);
4) Matching the position control points at the corresponding positions of the foot model and the shoe tree model obtained in the step 3), so as to adjust the position of the foot and align the positions of the foot model and the shoe tree model. Deforming the foot model to enable the sole to be matched with the bottom of the shoe last so as to accurately align the shoe last model and the foot model;
5) Obtaining the cross sections of the key positions of the shoe last model and the foot model by transversely cutting the aligned foot model and shoe last model generated in the step 4), wherein the key positions are positions which have great influence on comfort in the shoe manufacturing industry;
6) Analyzing the cross section generated in the step 5), and deforming the shoe tree model based on the cross section parameters, namely, performing comfort analysis on the cross section matching degree based on the foot model and the shoe tree model, checking the height, width and girth parameters of the foot model and the shoe tree model at the position of the cross section, and changing the parameters of the shoe tree model at the cross section to adjust the shape of the shoe tree model;
7) And outputting the designed three-dimensional shoe tree model.
And 2) driving deformation of the read shoe tree model according to the last type parameters: is a last model surface deformation based on target parameters. Wherein the measured three-dimensional foot shape parameters include: foot length, basic foot width (i.e., first metatarsophalangeal outer width and fifth metatarsophalangeal inner width), girth (metatarsophalangeal outer length and tarsal outer length), balance, toe end point portion, big toe outer protrusion point portion, little toe outer protrusion point portion, first metatarsophalangeal portion, fifth metatarsophalangeal portion, anterior tarsal bone protrusion portion, fossa portion, nuchal portion, posterior tolerance, metatarsophalangeal outer length, anterior tarsal bone outer length, big toe inner width, little toe outer width, first metatarsophalangeal inner width, fifth metatarsophalangeal outer width, fossa outer width, heel center full width, total anterior heel, anterior stilt, heel height, head thickness, heel protrusion height, back body height, forefoot crown, sole concavity, heel center height, nuchal height, cuff width, toe cuff length, toe last length. The last type parameters include: foot length, basic foot width (i.e., first metatarsophalangeal outer width and fifth metatarsophalangeal inner width), girth (metatarsophalangeal girth and tarsal girth), last base length, allowance, and allowance.
Firstly, the curved surface of the shoe tree model is deformed according to the foot length parameter in the shoe tree parameters obtained by measurement and calculation. When deforming according to the foot length parameter, first, the foot length deformation amount is obtained according to the foot length parameter (the foot length deformation amount S is obtained according to equation 1) L ，L Foot length input Is a foot length parameter, L Length of shoe last The calculation is performed according to equation 2. ) (ii) a And changing the coordinates of the points on the curved surface in proportion by using the foot length deformation to obtain new coordinates (proportionally changed according to a formula 3, J is the front end point of the last bottom, P is the three-dimensional coordinate of any point on the curved surface, and P is the three-dimensional coordinate of any point on the curved surface old Representing the three-dimensional coordinates of the point before deformation, P new Representing the deformed three-dimensional coordinates). By curving the last model in this wayAnd processing all the points once to obtain a new shoe tree model curved surface which is deformed and accords with the foot length parameters.
The formula for foot length deformation is as follows:
L length of shoe last ＝L Length of last X foot length coefficient; .......... (2)
P new ＝(P old -J)×S L +J； ..........(3)
The last model surface is then deformed according to the measured and calculated parameters of the basic width of the foot (i.e., the first metatarsophalangeal outer width and the fifth metatarsophalangeal inner width) in the lasted parameters. When the deformation is carried out according to the basic width parameter of the foot, a projection axis of the curved surface of the shoe tree model is firstly established. As in fig. 2). Setting the front end point J of the shoe last bottom, the back end point A of the shoe last bottom and the origin of coordinates of a world coordinate system as 0 to ensure that
The E is unitized, and the obtained vector is the projection axis. And then, according to the last type parameters obtained by measurement and calculation, the foot width deformation is obtained (the foot width deformation Sw is obtained according to a formula 4), and then the coordinates of the points on the curved surface of the last model are changed in proportion (the coordinates are changed in proportion according to a formula 5 and a formula 6, P is any point on the curved surface, and P is any point on the curved surface old Representing the coordinates of the point before deformation, P new Representing the deformed coordinates, E being a unit vector as described above), a new coordinate point is obtained. By processing all points on the last model surface once in this way, a new last model surface is obtained which conforms to the basic width parameters of the foot after deformation.
The foot width deformation equation is as follows:
Q＝E[(P old -J)·E]+J； ..........(5)
P new ＝(P old -Q)·S W +Q； ..........(6)
and finally, measuring and calculating the curved surface of the last model to obtain the girth (metatarsal girth and tarsal girth) parameter deformation in the last type parameters. Assuming that the point A is the back end point of the last bottom and the point J is the front end point of the last bottom, three directional curves l from the point A to the point J are generated on the curved surface 1 ，l 2 ，l 3 : along the back line of the last, along the inner edge line of the last and along the outer edge line of the last. As in fig. 3). The three curves are parameterized and the parameter of a point on the curve l is taken as the distance from that point along the curve l to the point a. For example, Q a Is along curve l 1 A distance a from point A i A parameter of i ；Q b Is along curve l 2 Distance b from point A i A parameter of i ；Q c Is along curve l 3 Distance to point A is c i A point of (1), parameter c i . These three points are now used to define an arbitrary section of the last surface. Will cross (Q) a ，Q b ，Q c ) The cross-section of these three points is parametrically expressed as (a) i ，b i ，c i ). Due to three points Q of the metatarsal periphery a2 ，Q b2 ，Q c2 The distances from the point A to the point A along the three curves are a 2 ，b 2 ，c 2 Three points Q around the tarsal region a1 ， Q b1 ，Q c1 The distances from the point A to the point A along the three curves are a 1 ，b 1 ，c 1 Therefore, the metatarsal and tarsal sections can be respectively expressed as (a) 2 ，b 2 ，c 2 ) And (a) 1 ，b 1 ，c 1 ). At the front end of the last, the cross section converges at a point J, and at the front end of the last, the cross section converges at a point a, which can be regarded as a special cross section. Next, the deformation amounts S and D of the tarsal circumference cross-section are calculated based on the tarsal circumference girth parameter.
First, a local coordinate system of the metatarsal circumferential cross-section is established. The method for establishing the local coordinate system comprises the following steps: let the cross section to 1 Has a cross point of Q a Let the cross section and 2 has a cross point of Q b Let the cross section and 3 has a cross point of Q c Let the origin of coordinates of the world coordinate system be 0
Then will be
Unitizing Q a To pair
Projecting to obtain Q a ', is composed of
Then will be
And (4) unitizing to obtain an XOY two-dimensional local coordinate system. Then, we calculate the deformation quantities S and D of the metatarsal girth section based on the parameters of the length of the metatarsal girth, wherein S is the deformation quantity of any point P of the metatarsal girth section in the OY direction, and D is the deformation quantity of P in the OX direction. The formula of the deformation amount S of P in the OY direction is given as formula 9:
wherein h is 1 Is the current height of the metatarsophalangeal curve, the girth is about 3 mm apart by one yard, so
The method of finding the amount of deformation D of P in the OX direction is a method using interpolation: it is easy to see that
Direction highest point Q a And the lowest point Q b 、Q c The values of D are all 0, and figure 4 b). Selecting P' as
The value of D on the section curve is set as D at the position P' at the point of 70% height in the direction, and the three points are used for interpolation to obtain D of all the points on the section Q, so that the target girth is calculated. The current girth on the section is set as L Girth at present If d is greater, then L Girth at present Greater than the target girth, if d is smaller, then L Girth at present Less than the target girth, using dichotomy to make the final L Girth at present ＝L Girth of target Thus obtaining D at point P'.
Then, the deformation amounts S and D of the tarsal circumference cross section are calculated based on the tarsal circumference girth parameter. The concrete formula and the implementation algorithm are the same as the steps 2-3-c).
Is established with 1 ，l 2 ，l 3 A parametric coordinate system with coordinate axes. The coordinate of the cross section of the metatarsal periphery is (a) 2 ，b 2 ，c 2 ) The coordinates of the tarsal circumference cross-section are (a) 1 ，b 1 ，c 1 ) The coordinates of the cross section at the point A are (0, 0), and the coordinates of the cross section at the point J are (L) 1 ，L 2 ，L 3 ). The four points are connected and interpolated by a smooth curve, each section corresponds to a unique point on the curve, and if any value of a, b and c is known for any point on the curve, the corresponding other two values can be obtained, namely a section is marked as Q (Q) a ，Q b ，Q c ). In order to obtain the cross section Q of any point P on the curved surface of the shoe tree, we need to first obtain the Q corresponding to the cross section Q a The parameter (b) is denoted as a. Establishing a function for any point P on the surface:
F(P，a)＝(P-Q)·N； ..........(7)
where N is the normal vector of the cross-section,
N＝(Q b -Q a )×(Q c -Q a )； ..........(8)
for a given a, a section (a, b, c) can be determined by a smooth curve in a parametric coordinate system, the meaning of the function being the directed distance of the point P to the section. The point P must be sandwiched between the point A section and the point J section, so F (P, 0) × F (P, l) 1 ) Is less than 0. Using a dichotomy on the function F (P, a) can find a such that F (P, a) =0, finding the cross section Q where the point P is located. Next, the deformation of the girth of the cross section is performed on the cross section Q where P is located.
A coordinate system is established by taking a, S and D as coordinate axes, and the coordinate of the back end point A of the last bottom can be obtained as (0, 1,0) The coordinates of the tarsal circumference are (a) 1 ，S Tarsal apparatus ，D Tarsal apparatus ) The coordinate at the metatarsal periphery is (a) 2 ，S Foot sole ，D Foot sole ) The coordinate of the front end point J of the last bottom is (L) 1 ,1,0). The values of S and D at a point P on the curved surface can be obtained by interpolating the values at the point P, knowing a. Namely, for any point P on the curved surface of the shoe tree model, the deformation amount of the shoe tree model on the section is obtained, and the point P is deformed.
All the points on the curved surface are processed once by the method, and the deformed shoe tree model curved surface which accords with the girth parameter is obtained.
Step 3) obtaining shoe tree model position control points: is obtained from the last type parameters. The obtained position control points of the last model include: the back end point of the last bottom, the front end point of the uniform opening and the back end point of the uniform opening. The positions of the position control points of the last model are not changed any more.
The step 3) obtains a foot type position control point: is obtained by the longitudinal section of the instep line, wherein the instep line is a plane which is parallel to the foot long side and the foot high side and vertically bisects the foot wide side by solving the enclosing box of the foot model, and the position control point of the foot model obtained by the longitudinal section of the instep line comprises: the anterior point of the sole, the posterior point of the sole, and the posterior high point of the sole. The position control points of the foot model may be adjusted manually by the user.
Step 4) match the position control point of the corresponding position of the foot model and the shoe tree model: correspondingly placing the control points of the foot model on the corresponding position control points of the shoe tree model, so as to adjust and align the position of the foot model to the shoe tree model, and manually fine-tuning the position of the position control points of the foot model interactively, and then repeatedly executing the operation of aligning the foot model to the shoe tree model, so that the foot model is more strictly aligned with the position of the shoe tree model.
And 4) deforming the foot model to enable the sole to be matched with the bottom of the last: is based on linear deformation of a deformation axis: firstly, a local coordinate system of a foot type model is established, a curve R is generated according to the shape of the sole of a foot, and a deformation axis curve S is generated according to the shape of the bottom of a last. And (4) obtaining a projection point Q of the point P to the curve R for any point P on the foot model. Finding out the point 0 corresponding to the point Q on the curve S to obtain the point P' of the point P on the curve S, restoring the coordinate to the world coordinate system, updating the coordinate of the point P, processing all the points on the foot-shaped model curved surface once by the method, and obtaining the foot-shaped model curved surface of which the sole is matched with the bottom of the last after deformation.
And 5) obtaining the cross sections of the key positions of the shoe tree model and the foot model in a transverse cutting mode, wherein the transverse cutting mode comprises two modes: the first is a transverse cutting perpendicular to the bottom surface of the shoe last model and the bottom surface of the foot model, and the cross section of the key position obtained by the transverse cutting mode comprises: a metatarsal periphery position cross section and a tarsal periphery position cross section; the second type is a cross cutting which is not vertical to the bottom surface of the shoe tree model and the bottom surface of the foot model, and the cross section of the key position obtained by the cross cutting mode comprises the following steps: a cross section of a thumb part, a cross section of a little toe end part, a cross section of a first metatarsophalangeal part, a cross section of a fifth metatarsophalangeal part, a cross section of a tarsal bone part and a cross section of a lumbar part.
And 6) deforming the shoe tree model based on the cross section parameters: the parameters of the last model at the cross section are changed to adjust the shape of the last model. The parameters adjusted include: height, width and girth parameters of the shoe tree model at the cross section. And (3) adjusting the section by the same algorithm as the curved surface deformation method of the shoe tree model in the step 2).
Examples
First, a three-dimensional standard last model (see fig. 6) and a foot model of the user are loaded. Due to certain individual difference of the foot shape, the loaded three-dimensional standard shoe tree model may have larger difference with the foot shape model of the user, such as parameters of foot length, foot height, foot width and the like, so that the matching of the shoe tree model and the foot shape model is problematic. If the cross section is directly matched, it is difficult to adjust the cross section parameters, so the three-dimensional foot shape of the user needs to be adjusted on the basis of the shoe tree model to obtain three-dimensional foot shape parameters, then shoe tree parameters are obtained, and the shoe tree model is driven to deform by the shoe tree parameters to obtain the shoe tree model which is primarily matched with the foot shape of the user (see the attached figure 7). After such transformation, we can see that the standard three-dimensional last model has been preliminarily deformed according to the three-dimensional foot shape parameters of the user. Next, longitudinal sections of the last line and the instep line of the last model and the foot model are generated, and the position control points (fig. 8 a) are obtained and then adjusted, respectively, so that the last model after the foot model is shaped can be aligned more accurately through the position control points (see fig. 8 b). The position of the foot model is adjusted using the position control points so that the foot model is automatically matched to the last model (see fig. 9), and then the foot model is deformed so that the sole of the foot is matched to the bottom of the last (see fig. 10). The aligned last model and foot model are generated into a cross section at a critical position (see fig. 11), and the height, width, girth parameters of the foot model and the last model at the position of the cross section are checked through comfort analysis based on the matching cross section of the shoe last, and the shape of the shoe last model is adjusted by adjusting the parameters of the last model at the cross section. Wherein the critical position is the position that influences comfort greatly among the shoemaking industry, and wherein critical position includes: metatarsal, tarsal, thumb, little toe, first metatarsophalangeal, fifth metatarsophalangeal, tarsal bone, and the lumbar. Wherein the current cross-section is a cross-section cut after the green plane is aligned with the foot model and the last model, and the pink plane is all other cross-sections, which may optionally not be displayed. The selected cross section parameters are automatically displayed in the application program of the invention, and the adjustment influence range and the parameter values of the shoe tree model at the cross section can be input to adjust the shape of the shoe tree model based on the cross section parameters. Fig. 12 is a schematic diagram in which parameters of the last model at the metatarsal periphery cross-section are checked and adjusted using a last matching model, wherein the closed curve drawn in the dialog box with a dotted line is the perimeter curve of the cross-section of the foot model at the metatarsal periphery and the closed curve drawn with a solid line is the perimeter curve of the cross-section of the last model at the metatarsal periphery. Fig. 13 is a schematic view in which parameters of the last model on the tarsal circumference cross-section are checked and adjusted using the last matching model, in which a closed curve drawn in a dialog box is a circumference curve of the foot model in the tarsal circumference cross-section and a closed curve drawn in a solid line is a circumference curve of the last model in the tarsal circumference cross-section. The application program of the invention can generate reports for all cross sections, and output the cross section diagram, the foot girth length, the last girth length, the foot surface width, the last surface width, the foot surface height, the last surface height and other parameters of the cross section after aligning the foot model and the shoe tree model, so as to conveniently analyze the matching degree of the foot model and the shoe tree model, and whether the shoe tree model needs to be continuously adjusted based on a certain cross section. And when the shoe tree is reasonably matched through a comfort degree analysis method based on the matching cross section of the shoe tree, the generation of the shoe tree model is completed. See tables 1 and 2.
TABLE 1 Table of analysis of parameters at each cross section after alignment of a foot model and a last model generated before adjustment based on analysis of the cross section of a last
TABLE 2 analysis of parameters at each cross section after alignment of the foot model and last model generated after adjustment based on analysis of the cross section of the last
Claims (10)
1. A personalized shoe tree model generation method integrating three-dimensional foot shape global parameters and local cross section adjustment is characterized by comprising the following steps:
1) Reading in a three-dimensional standard shoe tree model and a foot model of a user;
2) Measuring foot type parameters of the read foot type model, obtaining shoe last type parameters through the foot type parameters, and driving the shoe last model to deform by using the shoe last type parameters to obtain a new shoe last model generated on the basis of the three-dimensional foot type parameters of the user;
3) Respectively obtaining a shoe tree model and foot model position control points of the generated shoe tree model and the foot model read in the step 1);
4) Matching the obtained foot model with position control points at corresponding positions of the shoe tree model, so as to adjust the position of the foot model, align the positions of the foot model and the shoe tree model, deform the foot model to enable the sole to be matched with the bottom of the shoe tree, and further align the shoe tree model and the foot model;
5) Obtaining the cross sections of the key positions of the shoe tree model and the foot model by transversely cutting the generated aligned foot model and shoe tree model;
6) Deforming the shoe tree model based on the cross section parameters, namely, performing comfort analysis on the matching degree of the cross sections of the foot model and the shoe tree model, checking the height, the width and the girth parameters of the foot model and the shoe tree model at the position of the cross section, and changing the parameters of the shoe tree model at the cross section to adjust the shape of the shoe tree model;
7) And outputting the designed three-dimensional shoe tree model.
2. The method of claim 1, wherein the three-dimensional standard last model and the user's foot model are obtained by scanning a standard last.
3. The method for generating a personalized last model integrating global parameters of three-dimensional foot shape and local cross-sectional adjustments according to claim 1, wherein said parameters of foot shape obtained in step 2) include: foot length, basic foot widths, i.e. first metatarsophalangeal outer width and fifth metatarsophalangeal inner width, girth, i.e. metatarsophalangeal girth and tarsal girth, clearance, toe end point portion, big toe outer protrusion point portion, little toe outer protrusion point portion, first metatarsophalangeal portion, fifth metatarsophalangeal portion, anterior tarsal bone protrusion portion, fossa portion, heel center portion, rear tolerance, metatarsophalangeal girth, anterior tarsal girth, big toe inner width, little toe outer width, first metatarsophalangeal inner width, fifth metatarsophalangeal outer width, fossa outer width, heel center full width, total anterior teeter, heel height, head thickness, heel protrusion height, rear body height, forefoot crown, sole concavity, heel center convexity, heel center height, heel center width, toe opening length, and lasting length; the last type parameters comprise: foot length, basic foot width, i.e. first metatarsophalangeal outer width and fifth metatarsophalangeal inner width, girth, i.e. metatarsophalangeal girth and tarsal girth, last base length, allowance and rear allowance.
4. The method of claim 1, wherein said step of using said lasting parameters to drive deformation of said last model comprises the steps of: is the shoe tree model surface deformation based on the target last type parameters.
5. The method of claim 1, wherein said step of generating a personalized last model based on global parameters of a target last type and local cross-sectional adjustments comprises the steps of:
1) Deforming the shoe last model curved surface according to the foot length parameter of the last type parameters measured and calculated in step 2) of claim 1;
when the foot length parameter is changed, firstly, the formula (1) is utilized to change the foot length parameter according to L Foot length of shoe last And foot length parameter L Foot length input Deformation amount of handle foot length S L Is found in which L Foot length of shoe last Solving according to a formula (2); and changing the coordinates of the points on the curved surface according to a formula (3) in proportion by using the foot length deformation to obtain new coordinates, wherein J isThe front end point of the last bottom, P is the three-dimensional coordinate of any point on the curved surface, P old Representing the three-dimensional coordinates of the point before deformation, P new The deformed three-dimensional coordinates are shown, all points on the curved surface of the shoe tree model are processed once by the method, a new shoe tree model curved surface which conforms to the foot length parameters after deformation is obtained,
the foot length deformation formula is as follows:
L foot length of shoe last ＝L Length of last X the foot length coefficient; .......... (2)
P new ＝(P old -J)×S L +J； ..........(3)
2) Performing parameter deformation on the shoe tree model curved surface according to the basic width of the foot, namely the first metatarsophalangeal internal width plus the fifth metatarsophalangeal external width, in the lasting parameter measured and calculated in the step 2) of the claim 1;
when the deformation is carried out according to the basic width parameter of the foot, firstly, establishing a projection axis of the curved surface of the shoe tree model; setting the front end point J of the shoe last bottom, the back end point A of the shoe last bottom and the origin of coordinates of a world coordinate system as O to ensure that
Unitizing E to obtain vector, i.e. projection axis, and measuring and calculating last parameters to obtain foot width deformation S according to formula (4) w Calculating, and changing coordinates of points on the curved surface of the shoe tree model according to formula (5) and formula (6) by using foot width deformation amount, wherein P is any point on the curved surface, and P is old Representing the coordinates of the point before deformation, P new Representing the transformed coordinates, E is the unit vector as described above, to obtain new coordinate points, and processing all points on the shoe tree model surface once by this method to obtain a new shoe tree model surface conforming to the basic width parameters of the foot after transformation，
The foot width deformation equation is as follows:
Q＝E[(P old -J)·E]+J； ..........(5)
P new ＝(P old -Q)·S w +Q； ..........(6)
3) -deformation of parameters of girth, tarsometatarsal girth and tarsometatarsal girth, in the parameters of the last model measured and calculated from the curved surface of the last model according to step 2) of claim 1.
6. The method for generating a personalized last model based on global parameters of three-dimensional foot shape and local cross-sectional adjustments according to claim 5, wherein said transforming of girth, tarsometatarsround girth and tarsometatarsround girth parameters in said lastlike parameters based on said measuring and calculating comprises the steps of:
1) Setting point A as the back end point of the last bottom and point J as the front end point of the last bottom, three directional curves l from point A to point J are generated on the curved surface 1 ，l 2 ，l 3 : parameterizing the three curves along the back line, along the inner edge and along the outer edge of the last, respectively, the parameter of a point on curve l being taken as the distance from this point along curve l to point A, e.g. Q a Is along curve l 1 A distance a from point A i A parameter of i ；Q b Is along curve l 2 Distance b from point A i Point of (a), parameter b i ；Q c Is along curve l 3 Distance c from point A i Point of (d), parameter c i (ii) a These three points are now used to define an arbitrary section of the last surface, which will be (Q) a ，Q b ，Q c ) The cross-section of these three points is parametrically expressed as (a) i ，b i ，c i ) Due to three points Q of the metatarsal periphery a2 ，Q b2 ，Q c2 The distance from the point A to the point A along the three curves is a 2 ，b 2 ，c 2 Three points of tarsal circumference Q a1 ，Q b1 ，Q c1 The distances from the point A to the point A along the three curves are a 1 ，b 1 ，c 1 Therefore, the metatarsal circumference section and the tarsal circumference section can be respectively represented as (a) 2 ，b 2 ，c 2 ) And (a) 1 ，b 1 ，c 1 ) At the front end point of the last bottom, the cross section is converged at a point J, and at the front end point of the last bottom, the cross section is converged at a point A, and A and J can be respectively considered as special cross sections;
2) Calculating deformation quantities S and D of the metatarsal girth section based on the metatarsal girth parameter;
firstly, a local coordinate system of a metatarsal periphery section is established, and the method for establishing the local coordinate system comprises the following steps: let the cross section to 1 Has a cross point of Q a Let the cross section and 2 has a cross point of Q b Let the cross section and 3 has a cross point of Q c Let the origin of coordinates of the world coordinate system be O
Then will be
Unitizing Q a To pair
Projecting to obtain Q a ', is composed of
Then will be
Unitizing to obtain an XOY two-dimensional local coordinate system; then, based on the parameters of the girth of the metatarsal periphery, the deformation quantities S and D of the cross section of the metatarsal periphery are calculated, wherein S is the deformation quantity of any point P of the cross section of the metatarsal periphery in the OY direction, D is the deformation quantity of P in the OX direction, and the deformation quantity of P in the OY direction is calculatedThe formula of the amount of deformation S in the direction is formula 9:
wherein h is 1 Is the current height of the metatarsophalangeal curve, the girth is about 3 mm by one yard, so
The method of finding the amount of deformation D of P in the OX direction is a method using interpolation: it is easy to see that
Direction highest point Q a And the lowest point Q b 、Q c The values of the positions D are all 0, and P' is selected asPoints on the cross section curve about 70% of the height in the direction are set as D, interpolation is carried out by using the three points, D of all points on the cross section Q can be obtained, and therefore the target girth is calculated, and the current girth on the cross section is set as L Girth at present If d is greater, then L Girth at present Greater than the target girth, if d is smaller, then L Girth at present Less than the target girth, using dichotomy to make the final L Girth at present ＝L Girth of target Thus obtaining D at the point P';
3) Calculating the deformation quantities S and D of the tarsomersault cross section based on the tarsomersault girth parameter, and calculating the deformation quantities S and D of the tarsomersault cross section based on the tarsomersault girth parameter in the same step 2) by using a specific formula and an implementation algorithm;
4) Is established with 1 ，l 2 ，l 3 As a coordinate axis, the coordinate of the cross section of the metatarsal girth is (a) 2 ，b 2 ，c 2 ) The coordinates of the tarsal circumference cross-section are (a) 1 ，b 1 ，c 1 ) Of cross section at point AThe coordinates are (0, 0), and the coordinate of the cross section at the point J is (L) 1 ，L 2 ，L 3 ) And connecting and interpolating the four points by using a smooth curve, so that each section corresponds to a unique point on the curve, and if any value of a, b and c is known for any point on the curve, the corresponding other two values can be obtained, namely a section is marked as Q (Q) a ，Q b ，Q c ) (ii) a In order to obtain the cross section Q of any point P on the curved surface of the shoe tree, we need to first obtain the Q corresponding to the cross section Q a The function is established for any point P on the curved surface, and the parameter is marked as a:
F(P，a)＝(P-Q)·N； ..........(7)
where N is the normal vector of the cross-section,
N＝(Q b -Q a )×(Q c -Q a )； ..........(8)
for a given a, a section (a, b, c) can be determined by a smooth curve in a parametric coordinate system, the function meaning the directional distance from point P to the section, point P necessarily being sandwiched between the section at point A and the section at point J, so that F (P, 0) × F (P, l) 1 ) < 0, a for the function F (P, a) can be found by using dichotomy so that F (P, a) =0, thereby finding the cross section Q where the point P is located, and when the deformation of the girth of the cross section is performed below, the deformation is performed on the cross section Q where P is located;
5) Establishing coordinate system with a, S and D as coordinate axes to obtain coordinate of the back end point A of the last bottom as (0, 1, 0) and coordinate of the tarsal region as (a) 1 ，S Tarsal apparatus ，D Tarsal circumference ) The coordinate at the metatarsal periphery is (a) 2 ，S Foot periphery ，D Foot sole ) The coordinate of the front end point J of the last bottom is (L) 1 1, 0), for any point P on the curved surface, knowing a, interpolating the four points to obtain the values of S and D at the point P, namely for any point P on the curved surface of the shoe tree model, obtaining the deformation of the point P on the section and deforming the point P;
6) All the points on the curved surface are processed once by the method, and the deformed shoe tree model curved surface which accords with the girth parameter is obtained.
7. The method of claim 1, wherein the step of obtaining the last model position control points of step 3) is performed from the last parameters, and the step of obtaining the last model position control points comprises: the positions of the shoe tree bottom rear end point, the uniform opening front end point, the uniform opening rear end point and the position control point of the shoe tree model are not changed any more;
the step 3) is performed to obtain foot type position control points: is obtained by the longitudinal section of the instep line, wherein the instep line is a plane which is parallel to the foot long side and the foot high side and vertically bisects the foot wide side by solving the enclosing box of the foot model, and the position control point of the foot model obtained by the longitudinal section of the instep line comprises: the front end point of the sole, the rear high point of the sole, and the position control point of the foot model can be manually adjusted by the user.
8. The personalized shoe last model generation method integrating the global parameters of the three-dimensional foot shape and the local cross-section adjustment according to claim 1, wherein the matching step 4) matches the position control points at the corresponding positions of the foot shape model and the shoe last model: correspondingly placing the control points of the foot model on the corresponding position control points of the shoe tree model, so as to adjust and align the position of the foot model to the shoe tree model, interactively carrying out manual fine adjustment on the position of the position control points of the foot model, and repeatedly carrying out the operation of aligning the foot model to the shoe tree model, so that the foot model is more strictly aligned with the position of the shoe tree model;
the step 4) of deforming the foot mould model to match the sole of the foot with the bottom of the last is carried out by the following steps: linear deformation based on the deformation axis can be used to cause the plantar surface to drive the foot model to be completely matched with the last bottom surface of the last model.
9. The method according to claim 1, wherein the step 5) of obtaining the cross sections of the shoe last model and the foot model at the critical positions by crosscutting comprises the following steps: the transverse cutting mode comprises two modes: the first type is a transverse cutting perpendicular to the bottom surface of the shoe tree model and the bottom surface of the foot model, and the cross section of the key position obtained by the transverse cutting mode comprises the following components: a metatarsal periphery position cross section and a tarsal periphery position cross section; the second type is a cross cutting which is not vertical to the bottom surface of the shoe tree model and the bottom surface of the foot model, and the cross section of the key position obtained by the cross cutting mode comprises the following steps: a cross section of the big toe part, a cross section of the little toe part, a cross section of the first metatarsophalangeal part, a cross section of the fifth metatarsophalangeal part, a cross section of the tarsal part and a cross section of the lumbar part.
10. The method according to claim 1, wherein the step 6) of deforming the last model based on the cross-section parameters comprises: the parameters of the shoe tree model at the cross section are changed to adjust the shape of the shoe tree model, and the adjusted parameters comprise: the height, width and girth parameters of the shoe tree model at the cross section position, and the algorithm for adjusting the cross section are the same as the shoe tree model curved surface deformation method in the step 2).
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| CN108898663A (en) * | 2018-06-13 | 2018-11-27 | 东莞时谛智能科技有限公司 | A kind of foot's characteristic parameter driving standard shoe tree deformation method and system |
| CN111839869A (en) * | 2020-06-29 | 2020-10-30 | 昆明医科大学第二附属医院 | Customized foot external fixation protective tool based on 3D printing |
| CN112956784A (en) * | 2021-03-31 | 2021-06-15 | 湄洲湾职业技术学院 | Method for manufacturing personalized shoe tree |
| CN112956784B (en) * | 2021-03-31 | 2022-02-18 | 湄洲湾职业技术学院 | Method for manufacturing personalized shoe tree |
| CN113317593A (en) * | 2021-06-25 | 2021-08-31 | 浙江奥云数据科技有限公司 | Method for obtaining foot type data based on foot scanning device |
| CN115067627A (en) * | 2021-10-21 | 2022-09-20 | 安世亚太科技股份有限公司 | Automatic customized shoe tree generation system, method, equipment, storage medium and cloud platform |
| CN117173009A (en) * | 2023-11-02 | 2023-12-05 | 武汉亘星智能技术有限公司 | Method, device and medium for flattening curved surface of three-dimensional last to two-dimensional plate |
| CN117173009B (en) * | 2023-11-02 | 2024-02-02 | 武汉亘星智能技术有限公司 | Method, device and medium for flattening curved surface of three-dimensional last to two-dimensional plate |
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