CN104881548A - Discrete-domain force field based acquisition method of geometric evolution of adjacent process models - Google Patents
Discrete-domain force field based acquisition method of geometric evolution of adjacent process models Download PDFInfo
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Abstract
The invention discloses a discrete-domain force field based acquisition method of geometric evolution of adjacent process models and solves the technical problem that the existing acquisition method of geometric evolution of process models is poor in practicality. According to the technical scheme, the method includes: subjecting the surface of a three-dimensional model to triangular meshing, and representing a current shape of the model surface according to a distribution status of stress borne by triangular facets of the surface of the three-dimensional model. The method is applicable to any type of three-dimensional models. effective matching facets of two adjacent process models are screened out by comparing model surface force field angles of view and model surface force field distances, evolutionary types of the facets of the process models are judged by measuring similarities of surface characteristic patterns of the effective matching facets, and the efficiency is higher. The model surface characteristic patterns are subjected to overall similarity measurement by an EMD (earth mover distance) distance comparison algorithm, the model surface characteristic patterns are subjected to regional comparison by a Frechet distanced-based similarity matching algorithm, and resolving power and precision are improved.
Description
Technical field
The present invention relates to the acquisition methods that a kind of operation model geometric develops, particularly relate to a kind of acquisition methods developed based on the adjacent operation model geometric in the discrete domain field of force.
Background technology
Document " similarity measurement of three-dimensional operation model geometric Evolution Sequences, computer-aided design (CAD) and graphics journal, 2014, Vol26 (7), p1176-1182 " discloses a kind of operation model geometric and develops the method obtained.The method for be the model obtained by NURBS modeling method, a series of vector with affine-invariant features is calculated according to NURBS model cootrol summit, by the comparison to this series of vector, obtain the similar voxel of adjacent two operation models, identical voxel, identical voxel.On this basis, build the attribute adjacent map of the voxel that Geometrical change occurs, the geometry utilizing attribute adjacent map to express adjacent two operation models develops.Method described in document is only confined to the acquisition developed with the geometry of the operation model of NURBS method establishment, can not be used for the operation model of other types; In addition the method calculate a series of there is affine-invariant features vectorial time calculated amount large, efficiency is not high.
Summary of the invention
In order to overcome the deficiency of the acquisition methods poor practicability that existing operation model geometric develops, the invention provides a kind of acquisition methods developed based on the adjacent operation model geometric in the discrete domain field of force.First the method carries out tri patch division to adjacent two operation models, require that the tri patch distribution divided is substantially even, size of mesh opening is substantially identical, further, the stressing conditions of tri patch on two each, operation models is solved in the discrete domain field of force, obtain the visual angle, the field of force on two each surfaces of operation model, field of force Distance geometry surface characteristics figure, by comparing the visual angle, the field of force on two each surfaces of model, field of force Distance geometry surface characteristics figure carries out the judgement of model surface Geometrical change type, the concavity and convexity of the adjacent side in newly-increased face to be judged and the geometry that the type combining newly-increased face obtains adjacent two procedures model develops.The geometry of the model of acquisition is developed and is expressed as the attribute adjacent map of expansion, finally again extended attribute adjacent map is expressed as the attribute adjacency matrix expanded, so that in the reading of computing machine, storage and the retrieval of follow-up process knowledge.The geometry solving adjacent operation model based on the discrete domain field of force develops, and to the type not requirement of three-dimensional model, is namely applicable to the three-dimensional model of any type; In the deterministic process of carrying out model surface Geometrical change type, by filtering out the face of effectively pairing in two adjacent operation models to the comparison of visual angle, the model surface field of force, model surface field of force distance, then only carry out similarity measurement to judge the differentiation type in face between two operation models to the surface characteristics figure in effective pairing face, improve the efficiency of method; Adopt EMD distance comparison algorithm to carry out overall similarity measurement to model surface characteristic pattern, Fr é chet distance similarity alignment algorithm carries out regional correlation to model surface characteristic pattern, and therefore the method has higher resolution characteristic and precision.
The technical solution adopted for the present invention to solve the technical problems is: a kind of acquisition methods developed based on the adjacent operation model geometric in the discrete domain field of force, is characterized in adopting following steps:
A tri patch division is carried out on () surface to adjacent two operation models, require that the tri patch divided is evenly distributed, the consistance that patch dimensions identical and different operation model surface upper panel divides.Operation model surface approaches expression by the set of plane triangle dough sheet, and the change of model surface is measured with the change of limited fettucelle.Like this, arbitrary surface of each operation model is just expressed as a particle set Q.
Q＝{q
1,q
2,…,q
n} ⑴
In formula, q
1, q
2..., q
nfor the center of gravity of all tri patchs in the arbitrary surface of model, n is the number of the tri patch that this surface comprises, center of gravity q
icoordinate calculated by three summits of triangular facet.
B () solves the surface characteristics figure on adjacent two each surfaces of operation model, the visual angle, the field of force on surface and the field of force distance on surface based on discrete domain force field model.By surface characteristics figure, the visual angle, the field of force on surface and the field of force on the surface distribution apart from gravitation suffered by different surfaces on common descriptive model, the shape on each surface of distribution characterization model of model surface gravitation.
Definition discrete domain force field model:
There is a particle O in the center of gravity place being located at operation model, and the coordinate of particle O does not change with the change of operation pattern number in same three-dimensional process code, according to Newton third law, and the element q in body surface set of particles Q
iall be subject to the universal gravitation effect of this particle O, according to Formula of Universal Gravitation:
In formula, m
oand m
qibe respectively particle O and q
iquality, r
qifor particle O to q
idistance, G is gravitational constant.
Make m
qi=1, even element q
ifor unit particle, then as follows based on discrete domain force field model equation:
In formula, (x
o, y
o, z
o) be the center of gravity of operation model and the coordinate of particle O, (x
qi,
yqi, z
qi) be element q
icoordinate.
Definition Model surface characteristics figure:
Based on the stressed size of all tri patch centers of gravity on a certain surface of discrete domain force field model solving model, several intervals are divided into according to the stressed size of large young pathbreaker that dough sheet is stressed, using the interval of power as horizontal ordinate, in interval, the number of stressed tri patch center of gravity is as ordinate, generates frequency distribution histogram.Being called model surface characteristic pattern to carrying out the curve that conforming interpolation obtains after histogrammic dimension normalization process, representing with symbol T.
The visual angle, the field of force on Definition Model surface:
Visual angle, the field of force is vector
with model surface normal vector
the angle formed, in order to the orientation of different surfaces on identification model in the field of force, represents by symbol theta.
Wherein, vector
for the line of coordinate origin o and gravitation source particle O points to O.Here specify, model surface normal vector is perpendicular to model surface and outside the direction model of direction.
The field of force distance on Definition Model surface:
Field of force distance is the distance of gravitation source particle O to model surface, represents to the distance in gravitation source with symbol L in order to be identified at model surface in the field of force.
C geometry that the change of () adjacent operation model surface gravitation distribution embodies between model develops, by filtering out the face of effectively pairing in two adjacent operation models to the comparison at visual angle, the model surface field of force and model surface field of force distance, then similarity measurement is carried out to judge the differentiation type in face between two operation models to the surface characteristics figure in effective pairing face, the similarity measurement of the surface characteristics figure in two faces adopts EMD distance similarity comparison algorithm to carry out overall comparison, adopts Fr é chet distance similarity alignment algorithm to carry out regional correlation.
The differentiation type of two operation model surfaces is divided into four kinds: amendment face, newly-increased face, invariable plane and extinction face.Amendment face and invariable plane do not participate in the structure of machining feature, and extinction face only exists in the previous operation model of two adjacent operation models, identify that the key that two adjacent operation model geometrics develop finds the newly-increased face in a rear operation model.
D () finds the newly-increased face in two procedures model geometric evolution process, judge the concavity and convexity of newly-increased adjacent side, face, obtain the topological relation between newly-increased face, and the geometry that the type in conjunction with newly-increased face obtains adjacent two procedures model develops.
E the geometry of the adjacent two procedures model obtained is developed the attribute adjacent map being expressed as expansion by (), further extended attribute adjacent map is expressed as the attribute adjacency matrix expanded, and facilitates computing machine to read, stores and the retrieval of follow-up process knowledge.
In order to the geometric properties information of expression model geometry differentiation that can be more complete, the node of attribute adjacent map and the attribute on arc or limit are expanded, addition of the type in face, the type on limit, the attribute adjacent map be expanded.By increasing columns and the element a of adjacency matrix
ijthe ambiguity that the figure place of value avoids adjacency matrix to express, adds row a [i, n+1], the (n+1)th row corresponding surface f in adjacency matrix a [n, n]
itype attribute.
In adjacency matrix a [n, n], by a
ijfigure place be increased to three by two, a
ijfront two is presentation surface f still
iand f
jthe concavity and convexity of adjacent side, newly-increased the 3rd for face f
iand f
jthe type of adjacent side.
The invention has the beneficial effects as follows: the inventive method is by carrying out triangulation to three-dimensional model surface, further, in the discrete domain field of force, utilize the distribution of gravitation suffered by model surface tri patch to characterize current model surface shape, geometry between the change characterization model of adjacent operation model surface gravitation distribution develops, to the type not requirement of three-dimensional model, be namely applicable to the three-dimensional model of any type.By filtering out the face of effectively pairing in two adjacent operation models to the comparison of visual angle, the model surface field of force, model surface field of force distance, then carry out similarity measurement to judge the differentiation type in face between two operation models to the surface characteristics figure in effective pairing face, improve the efficiency of method.Adopt EMD distance comparison algorithm to carry out overall similarity measurement to model surface characteristic pattern, Fr é chet distance similarity alignment algorithm carries out regional correlation to model surface characteristic pattern, and therefore the method has higher resolution characteristic and precision.
Below in conjunction with the drawings and specific embodiments, the present invention is elaborated.
Accompanying drawing explanation
Fig. 1 is the process flow diagram of the inventive method.
Fig. 2 is two operation model a and b of adjacent operation.
Fig. 3 carries out the schematic diagram after tri patch division to model a and b.
Fig. 4 is the characteristic pattern on each surface of model a.
Fig. 5 is the characteristic pattern on each surface of model b.
Fig. 6 is that the extended attribute adjacent map of model a, b operation model geometric differentiation acquisition result represents.
Embodiment
With reference to Fig. 1-6.The acquisition methods body step that the adjacent operation model geometric that the present invention is based on the discrete domain field of force develops is as follows:
The surface set of two adjacent operation model a and model b is expressed as:
F
a＝{f
a 1,f
a 2,f
a 3,f
a 4,f
a 5,f
a 6,f
a 7,f
a 8}
F
b＝{f
b 1,f
b 2,f
b 3,f
b 4,f
b 5,f
b 6,f
b 7,f
b 8,f
b 9,f
b 10}
In ANSYS software, the division of Delaunay tri patch is carried out to model a, b.
It is substantially even that Delaunay tri patch divides the tri patch distribution that ensure that division, the consistance that patch dimensions substantially identical and different operation model surface upper panel divides.
The stressing conditions of each surperficial tri patch of computation model a, b, the visual angle, the field of force of each and field of force distance.The upper tri patch barycentric coordinates of each of model a, b are obtained by the summit of the tri patch on each surface of operation model a, b, then by the center of gravity q of tri patch
kcoordinate, model a, b barycentric coordinates import in Matlab software, calculate the upper tri patch stressing conditions of each of two models, obtain visual angle, the field of force and the field of force distance of model a, b each simultaneously according to discrete domain force field model.
The visual angle, the field of force of each of table 1 model a and field of force distance
The visual angle, the field of force of each of table 2 model b and field of force distance
The each surface characteristics figure of tectonic model a, b.By the upper each surperficial tri patch distribution of force histogram of tri patch stressing conditions tectonic model a, b of each of model, be normalized, and use the conforming interpolation function of Matlab software to carry out to histogram the surface characteristics figure that conforming interpolation obtains two each surfaces of model.
Judge the situation of change of two-step model surface.By visual angle, the field of force, the field of force Distance geometry surface characteristics figure on each surface of comparison model a, b, obtain the situation of change of two-step model surface.F is known by result
b 9, f
b 10be newly-increased face, judge to appear f
b 9, f
b 10adjacent side for circle and be concave edge, the geometry that the type in conjunction with two faces obtains adjacent two procedures model develops into blind hole manufacturing feature.
The differentiation type of each of table 3 model b obtains result
The geometry of the adjacent two procedures model obtained is developed the attribute adjacent map being expressed as expansion, 1,2 presentation surface f in Fig. 6
b 9, f
b 10be respectively the node 1 and 2 of extended attribute adjacent map; 3 presentation surface f in 30
b 9for the face of cylinder, 0 presentation surface f in 30
b 9inside surface composition solid object surface; 2 presentation surface f in 20
b 10for plane, the implication of 0 is identical with 0 in 30; 10 presentation surface f in 102
b 9, f
b 10adjacent, and adjacent side is concave edge, 2 represent that the type of adjacent side is for circle, then extended attribute adjacent map are expressed as the adjacency matrix of expansion:
A tri patch division is carried out on () surface to adjacent two operation models, require that the tri patch distribution divided is substantially even, the consistance that patch dimensions substantially identical and different operation model surface upper panel divides.According to differential thought, operation model surface approaches expression by the set of plane triangle dough sheet, and the change of model surface is measured with the change of limited fettucelle.Like this, arbitrary surface of each operation model is just expressed as a particle set Q.
Q＝{q
1,q
2,…,q
n} ⑴
Q in formula
1, q
2..., q
nfor the center of gravity of all tri patchs in the arbitrary surface of model, n is the number of the tri patch that this surface comprises, center of gravity q
icoordinate calculated by three summits of triangular facet.
B () solves the field of force distance on the surface characteristics figure on adjacent two each surfaces of operation model, surperficial visual angle, the field of force, surface based on discrete domain force field model.By surface characteristics figure, the visual angle, the field of force on surface and the field of force on the surface distribution apart from gravitation suffered by different surfaces on common descriptive model, the shape on each surface of distribution characterization model of model surface gravitation.
Definition discrete domain force field model:
There is a particle O in the center of gravity place being located at operation model, and the coordinate of particle O does not change with the change of operation pattern number in same three-dimensional process code, according to Newton third law, and the element q in body surface set of particles Q
iall be subject to the universal gravitation effect of this particle O, according to Formula of Universal Gravitation:
M in formula
o, m
qibe respectively particle O and q
iquality, r
qifor particle O to q
idistance, G is gravitational constant.
Make m
qi=1, even element q
ifor unit particle, then as follows based on discrete domain force field model equation:
(x in formula
o, y
o, z
o) be the center of gravity of operation model and the coordinate of particle O, (x
qi, y
qi, z
qi) be element q
icoordinate.
Definition Model surface characteristics figure:
Based on the stressed size of all tri patch centers of gravity on a certain surface of discrete domain force field model solving model, several intervals are divided into according to the stressed size of large young pathbreaker that dough sheet is stressed, using the interval of power as horizontal ordinate, in interval, the number of stressed tri patch center of gravity is as ordinate, generates frequency distribution histogram.Being called model surface characteristic pattern to carrying out the curve that conforming interpolation obtains after histogrammic dimension normalization process, representing with symbol T.
The visual angle, the field of force on Definition Model surface:
Visual angle, the field of force is vector
with model surface normal vector
the angle formed, in order to the orientation of different surfaces on identification model in the field of force, represents by symbol theta.
Wherein vector
for the line of coordinate origin o and gravitation source particle O points to O.Here specify, model surface normal vector is perpendicular to model surface and outside the direction model of direction.
The field of force distance on Definition Model surface:
Field of force distance is the distance of gravitation source particle O to model surface, represents to the distance in gravitation source with symbol L in order to be identified at model surface in the field of force.
C geometry that the change of () adjacent operation model surface gravitation distribution embodies between model develops, by filtering out the face of effectively pairing in two adjacent operation models to the comparison at visual angle, the model surface field of force and model surface field of force distance, then similarity measurement is carried out to judge the differentiation type in face between two operation models to the surface characteristics figure in effective pairing face, the similarity measurement of the surface characteristics figure in two faces adopts EMD distance similarity comparison algorithm to carry out overall comparison, adopts Fr é chet distance similarity alignment algorithm to carry out regional correlation.
The differentiation type of two operation model surfaces is divided into four kinds: amendment face, newly-increased face, invariable plane and extinction face.Amendment face and invariable plane do not participate in the structure of machining feature, and extinction face only exists in the previous operation model of two adjacent operation models, therefore identify that the key that two adjacent operation model geometrics develop finds the newly-increased face in a rear operation model.Model surface develops judgment basis and the result reference table 4 of type.
Table 4 model surface develops judgment basis and the result of type
D () finds the newly-increased face in two procedures model geometric evolution process, judge the concavity and convexity of newly-increased adjacent side, face, obtain the topological relation between newly-increased face, and the geometry that the type in conjunction with newly-increased face obtains adjacent two procedures model develops.
E the geometry of the adjacent two procedures model obtained is developed the attribute adjacent map being expressed as expansion by (), further extended attribute adjacent map is expressed as the attribute adjacency matrix expanded, and facilitates computing machine to read, stores and the retrieval of follow-up process knowledge.
In order to the geometric properties information of expression model geometry differentiation that can be more complete, certain expansion is carried out to the node of attribute adjacent map and the attribute of arc (or limit), addition of the type in face, the type on limit, the attribute adjacent map be expanded.By increasing columns and the element a of adjacency matrix
ijthe ambiguity that the figure place of value avoids adjacency matrix to express, adds row a [i, n+1], the (n+1)th row corresponding surface f in adjacency matrix a [n, n]
itype attribute, value definition is with reference to table 5.
The definition of attribute in Extended Adjacency Matrix of table 5
The definition of attribute in Extended Adjacency Matrix of the adjacent side of table 6
In adjacency matrix a [n, n], by a
ijfigure place be increased to 3 by 2, a
ijfront two is presentation surface f still
iand f
jthe concavity and convexity of adjacent side, newly-increased the 3rd for face f
iand f
jthe type of adjacent side, value definition is with reference to table 6.
Claims (1)
1., based on the acquisition methods that the adjacent operation model geometric in the discrete domain field of force develops, it is characterized in that comprising the following steps:
A tri patch division is carried out on () surface to adjacent two operation models, require that the tri patch divided is evenly distributed, the consistance that patch dimensions identical and different operation model surface upper panel divides; Operation model surface approaches expression by the set of plane triangle dough sheet, and the change of model surface is measured with the change of limited fettucelle; Like this, arbitrary surface of each operation model is just expressed as a particle set Q;
Q＝{q
1,q
2,…,q
n} ⑴
In formula, q
1, q
2..., q
nfor the center of gravity of all tri patchs in the arbitrary surface of model, n is the number of the tri patch that this surface comprises, center of gravity q
icoordinate calculated by three summits of triangular facet;
B () solves the surface characteristics figure on adjacent two each surfaces of operation model, the visual angle, the field of force on surface and the field of force distance on surface based on discrete domain force field model; By surface characteristics figure, the visual angle, the field of force on surface and the field of force on the surface distribution apart from gravitation suffered by different surfaces on common descriptive model, the shape on each surface of distribution characterization model of model surface gravitation;
Definition discrete domain force field model:
There is a particle O in the center of gravity place being located at operation model, and the coordinate of particle O does not change with the change of operation pattern number in same three-dimensional process code, according to Newton third law, and the element q in body surface set of particles Q
iall be subject to the universal gravitation effect of this particle O, according to Formula of Universal Gravitation:
In formula, m
oand m
qibe respectively particle O and q
iquality, r
qifor particle O to q
idistance, G is gravitational constant;
Make m
qi=1, even element q
ifor unit particle, then as follows based on discrete domain force field model equation:
In formula, (x
o, y
o, z
o) be the center of gravity of operation model and the coordinate of particle O, (x
qi, y
qi, z
qi) be element q
icoordinate;
Definition Model surface characteristics figure:
Based on the stressed size of all tri patch centers of gravity on a certain surface of discrete domain force field model solving model, several intervals are divided into according to the stressed size of large young pathbreaker that dough sheet is stressed, using the interval of power as horizontal ordinate, in interval, the number of stressed tri patch center of gravity is as ordinate, generates frequency distribution histogram; Being called model surface characteristic pattern to carrying out the curve that conforming interpolation obtains after histogrammic dimension normalization process, representing with symbol T;
The visual angle, the field of force on Definition Model surface:
Visual angle, the field of force is vector
with model surface normal vector
the angle formed, in order to the orientation of different surfaces on identification model in the field of force, represents by symbol theta;
Wherein, vector
for the line of coordinate origin o and gravitation source particle O points to O; Here specify, model surface normal vector is perpendicular to model surface and outside the direction model of direction;
The field of force distance on Definition Model surface:
Field of force distance is the distance of gravitation source particle O to model surface, represents to the distance in gravitation source with symbol L in order to be identified at model surface in the field of force;
C geometry that the change of () adjacent operation model surface gravitation distribution embodies between model develops, by filtering out the face of effectively pairing in two adjacent operation models to the comparison at visual angle, the model surface field of force and model surface field of force distance, then similarity measurement is carried out to judge the differentiation type in face between two operation models to the surface characteristics figure in effective pairing face, the similarity measurement of the surface characteristics figure in two faces adopts EMD distance similarity comparison algorithm to carry out overall comparison, adopts Fr é chet distance similarity alignment algorithm to carry out regional correlation;
The differentiation type of two operation model surfaces is divided into four kinds: amendment face, newly-increased face, invariable plane and extinction face; Amendment face and invariable plane do not participate in the structure of machining feature, and extinction face only exists in the previous operation model of two adjacent operation models, identify that the key that two adjacent operation model geometrics develop finds the newly-increased face in a rear operation model;
D () finds the newly-increased face in two procedures model geometric evolution process, judge the concavity and convexity of newly-increased adjacent side, face, obtain the topological relation between newly-increased face, and the geometry that the type in conjunction with newly-increased face obtains adjacent two procedures model develops;
E the geometry of the adjacent two procedures model obtained is developed the attribute adjacent map being expressed as expansion by (), further extended attribute adjacent map is expressed as the attribute adjacency matrix expanded, and facilitates computing machine to read, stores and the retrieval of follow-up process knowledge;
In order to the geometric properties information of expression model geometry differentiation that can be more complete, the node of attribute adjacent map and the attribute on arc or limit are expanded, addition of the type in face, the type on limit, the attribute adjacent map be expanded; By increasing columns and the element a of adjacency matrix
ijthe ambiguity that the figure place of value avoids adjacency matrix to express, adds row a [i, n+1], the (n+1)th row corresponding surface f in adjacency matrix a [n, n]
itype attribute;
In adjacency matrix a [n, n], by a
ijfigure place be increased to three by two, a
ijfront two is presentation surface f still
iand f
jthe concavity and convexity of adjacent side, newly-increased the 3rd for face f
iand f
jthe type of adjacent side.
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| CN106354927A (en) * | 2016-08-29 | 2017-01-25 | 西北工业大学 | Construction method of optimization model for adaptive processing of front and rear edges of precisely-forged blade |
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