CN104915983B - A kind of clothing fold baseline extraction method - Google Patents
A kind of clothing fold baseline extraction method Download PDFInfo
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- CN104915983B CN104915983B CN201510278659.8A CN201510278659A CN104915983B CN 104915983 B CN104915983 B CN 104915983B CN 201510278659 A CN201510278659 A CN 201510278659A CN 104915983 B CN104915983 B CN 104915983B
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Abstract
A kind of clothing fold baseline extraction method, by the deformation analysis to initial mesh and warp mesh, then the sideline in track and extract triangle gridding carries out smooth treatment and obtains fold curve as initial baseline.Fold curve is merged with plication region, adjusts three-dimensional grid to obtain final fold baseline.Its step is that (1) carries out distortion of the mesh analysis and planar development to three-dimensional clothing grid；(2) tracking and the smooth treatment of incipient fold baseline are carried out on the grid plan of expansion；(3) fold curve is merged with clothing grid plication region, adjusts three-dimensional grid to obtain final fold baseline.
Description
Technical field
The present invention relates to a kind of clothing fold baseline extraction method, belong to flexible fabric simulation technical field.
Background technology
Field is emulated in clothing, fold is the very important main details of clothing cloth, and the addition of fold can strengthen clothing
The visual realism of simulation, the analog simulation to fold are to realize a part indispensable in the simulation of authenticity flexibility clothing.
The current clothing fold analogy method for being mostly based on geometry is divided into two steps：Fold base is generated first on clothing grid
Line, the substantially trend of fold is described；Then according to defined fold baseline, three-dimensional clothing fold is generated.
Extraction about fold baseline uses as the technological difficulties, Larboulette et al. and Wang Yu et al. of key
The length of side keeps constant principle, and fold is added on user-defined fold line.Li et al. extracts face wrinkle curve by picture,
And curve is projected 3D faceforms from 2D, by adjusting to obtain the wrinkle shape of solid to the curvilinear function of wrinkle section shape
Shape, and wrinkle model is further refined by surface subdivision.Cutler et al. demarcates fold baseline in clothing surface relevant position,
And ultimately produce three-dimensional pleat according to crimp shape and adjustable parameter-crimp shape radius of definition according to these fold baselines
Wrinkle.Rohmer et al. uses same concept, and fold is further simulated on the basis of fold baseline.Unlike,
In Rohmer et al. method, the position of fold baseline is that program obtains according to thick simulation result is analyzed, with it is a kind of it is automatic after
The artificial interference of processing method substitution.
Problems be present in the extracting method of conventional fold baseline：
(1) the fold baseline without maturation automatically generates scheme, and most fold generation method, which relies on, has professional skill
The artistic personnel of energy manually add fold baseline on clothing grid.
(2) current fold baseline extraction method is often more complicated, computationally intensive, it is necessary to expend more calculating money
Source.
For problem above, the present invention has made further research to fold baseline extraction method, propose it is a kind of it is new based on
The fold baseline extraction method of distortion of the mesh analysis.The core content of this method can be summarized as：By to initial mesh and change
Then the deformation analysis of shape grid, the sideline in track and extract triangle gridding carry out smooth treatment and obtain pleat as initial baseline
Rugosity line.Fold curve is merged with plication region, adjustment three-dimensional grid is to obtain final fold baseline, so as to realize
The more fold baseline of visual realism.
The content of the invention
The technical problem to be solved in the present invention is：A kind of overcome the deficiencies in the prior art, there is provided clothing fold baseline extraction
Method.
The technical solution adopted by the present invention：Deformation tensor defined in Continuum Mechanics is used in three-dimensional clothing grid
On, distortion of the mesh analysis is carried out to three-dimensional clothing grid；Three-dimensional clothing grid is carried out planar development, and in the plane of expansion
On, the tracking that incipient fold baseline is carried out according to the amount of tension information of grid vertex is found；Initial pleat based on coarse grid extraction
The line that wrinkles is typically broken line, and carrying out smooth treatment with Laplacian methods forms smooth fold curve；It is general using center-of-mass coordinate
The three-dimensional coordinate for obtaining fold curve is read, and the summit on curve is embedded in the grid of plication region with Delaunay methods
Go.
The step of program is realized, as shown in Figure 1：
(1) distortion of the mesh analysis is carried out to three-dimensional clothing grid；
(2) planar development is carried out to three-dimensional clothing grid, and the tracking searching of fold baseline is carried out in expansion plane；
(3) smooth treatment is carried out to the fold baseline of extraction, obtains fold curve；
(4) fold curve is merged with plication region, adjusts three-dimensional grid to obtain final fold baseline.
Compared with the prior art, the invention has the advantages that：
Attribute based on clothing grid in itself more succinctly automatically, eliminates professional and technical personnel's craft as extracting parameter
The trouble of fold baseline is added, reduces the difficulty of fold baseline extraction and professional degree.With higher efficiency, resource is taken
It is few, the fold baseline with more visual realism can be obtained.
Brief description of the drawings
A kind of clothing fold baseline extraction method and step schematic diagrames of Fig. 1；
Fig. 2 folds baseline tracks schematic diagram；
Fig. 3 Laplacian smoothing method schematic diagrames；
The explanation schematic diagram of Fig. 4 center-of-mass coordinates；
Fig. 5 inserts the step schematic diagram of new summit using Delaunay methods；
Incipient fold baseline schematic diagram in the expansion plane of the positive face dividing of Fig. 6 jackets；Wherein, (a) shows summit
Amount of tension and the corresponding relation for the fold baseline found, (b) then clearly individually shows the fold baseline extracted；
Incipient fold baseline schematic diagram in the expansion plane of Fig. 7 jackets back side piecemeal；Wherein, (a) shows summit
Amount of tension and the corresponding relation for the fold baseline found, figure (b) then clearly individually show the fold baseline extracted；
Smooth result figure after Fig. 8 difference Laplacian iterationses；Wherein, (a), (b), (c) and (d) is respectively
Effect when the smooth iterationses of Laplacian are respectively 1,2,4 and 5；
The fold baseline glossy effect figure of the positive face dividing of Fig. 9 jackets；Wherein, (a) is smooth preceding effect, (b) showed smooth
Effect afterwards；
The fold baseline glossy effect figure of Figure 10 jackets back side piecemeal；Wherein, (a) is smooth preceding effect, (b) showed smooth
Effect afterwards；
Figure 11 merges the refinement plication region design sketch of smooth fold curve；Wherein, (a) and (b) is jacket three-dimensional clothing
A positive plication region for grid model, (c) and (d) are one, the back side folded region of jacket three-dimensional clothing grid model
Domain.
Embodiment
Below in conjunction with the accompanying drawings and embodiment the present invention is described in more detail.
(1) distortion of the mesh analysis and planar development are carried out to three-dimensional clothing grid
Deformation tensor defined in Continuum Mechanics is used on three-dimensional clothing grid, three-dimensional clothing grid is carried out
Triangle primitive deformation analysis；Tensor space, Riemann's degree based on affine-invariant features are defined on using what Pennec et al. was proposed
The interpolation scheme of amount, the deflection of grid vertex is gone out by triangle deflection interpolation.In order to reduce the calculating of fold baseline lookup
Complexity is, it is necessary to be transformed into three-dimensional clothing gridding information on two dimensional surface, therefore use the planar development method of conformal degree real
Now to the planar development of three-dimensional initial mesh.
(2) tracking that fold baseline is carried out in expansion plane is found
After the planar development of initial mesh is obtained, it is possible to easily according to each summit in the plane of two dimension
The size extraction fold baseline of summit stretch tensor.The process that the present invention extracts fold baseline on two dimensional surface is referred to as fold base
The tracking of line.Starting point of the summit as a fold baseline is chosen on two dimensional surface, progressively " is followed the trail of " in the plane
Whole piece fold baseline, and selected starting point is referred to as seed starting point.
Before the tracking of fold baseline is started, first by according to the characteristic value μ of the stretch tensor on each summiti1From small to large
Order is ranked up to summit all in plane, all summits according to characteristic value μi1Size be put into a priority team
Row.Next the tracking of fold baseline will be carried out in accordance with the following steps：
Step 1：Choose characteristic value μ in queuei1Minimum point is seed starting point, that is, elects first on fold baseline as
Summit；By characteristic value μ in the adjacent vertex of seed starting pointi1Minimum summit is second summit on fold baseline, and calculates this
Line direction between two summits.Next will be carried out according to the direction on this line.Due to the company on first two summits of selection
There is both direction on line, the present invention will carry out the tracking of remaining fold baseline respectively along both direction.Finally again by two
Tracking result on direction merges.
Step 2：One tracking direction is selected according to step 1；
Step 3：The caudal apex that current vertex is the fold baseline on this direction is defined, as shown in Fig. 2 its midpoint C
For current point, the next summit D of fold baseline selection needs to meet following three conditions：
D.D is and its characteristic value μ in one of current vertex C adjacent vertexi1Need the threshold value μ less than settingthresh；
E. it is vectorialWith vectorBetween angle be no more than certain threshold θthresh1；
F. it is vectorialWith vectorBetween angle be no more than certain threshold θthresh2；
G.D is characteristic value μ in all summits for meet above three conditioni1Minimum summit.
Incipient fold baseline extraction is tested：It is respectively in jacket using fold baseline tracking scheme two as shown in Figure 6 and Figure 7
The fold baseline of extraction in the expansion plane of positive face dividing and back side piecemeal.
In Fig. 6 and Fig. 7, figure (a) shows the amount of tension and the corresponding relation for the fold baseline found on summit, and figure (b) is then
Clearly individually show the fold baseline extracted.It can see from two width figures, fold baseline and the summit amount of tension of extraction
Larger point is corresponding.
μ in this experimenti1Threshold value μthreshIt is taken as 0.8, θthresh, θthresh2And θthresh2Value be all taken as pi/2.
(3) smooth treatment is carried out to obtained preliminary examination fold baseline
The fold line extracted using the fold baseline extraction method described in upper section is typically broken line, but true generation
Fold curve in boundary is often smooth curve, is smoothly transitted between the position of point and point.Therefore fold folding is being extracted
It is after line, it is necessary to smooth to the fold broken line progress extracted, form smooth fold curve.The present invention will use simplest
Laplacian smoothing methods, it is illustrated in figure 3 the schematic diagram of Laplacian smoothing methods.
The smooth process description of specific fold broken line is as follows：
For the summit p on a fold broken line as shown in Fig. 3 left sidesi, pi-1And pi+1It is two adjacent summit,
Order：
So, summit piNew location updating be：
p'i=pi+λL(pi) (3.2)
Wherein, 0<λ<1.
Fig. 3 right-hand components diagram meaning broken line is by once smooth process, and light grey broken line is original broken line, Dark grey
Broken line be it is smooth after fold knot fruit, arrow illustrates the moving direction on this smooth each summit of process.It is in fact, one-dimensional
Laplace operators it is discrete equivalent to the finite difference of second dervative.Every time it is smooth during, the point of each point and surrounding is done
It is average, make the coordinate value on adjacent summit more closely, so as to reach the purpose of smooth broken line.
The iterative process that smoothing operation is carried out to fold broken line L is as follows：
1) the vertex information storage copy on L is a；
2) for the internal vertex p on broken line Li(piFor non-borderline summit), do computingAnd calculate p'i=pi+λL(pi), wherein p'iFor piNew position point coordinates；
If 3) reach cycle-index, terminate；Otherwise, the new round loop iteration since step 1).
It is worth noting that, Laplacian smoothing methods have blockage effect (shrink), i.e., increase when iterations
When, original is in the broken line meeting atrophy of arc shaped, and its arc length is less and less.For a most extreme example, if original folding
Line is a polygon for closing, then, after the unlimited smooth iterative cycles of Laplacian, atrophy is a point by the broken line.Cause
This, is using Laplacian smoothing methods it is noted that selecting appropriate iterations.
The smooth experiment of fold baseline：It is illustrated in figure 8 the Laplacian for same fold baseline, carrying out different numbers
The smooth result of fold baseline after iteration.
In Fig. 8, figure (a), figure (b), figure (c) and figure (d) are respectively that the smooth iterationses of Laplacian are 1,2,4 and 5
Effect.Wherein, solid black lines are original fold baseline, and black dotted lines are to fold baseline using Laplacian smoothing methods
Carry out smooth rear caused fold J curve effectJ.
It can be seen that with the increase of iterations, Laplacian smooth results tend towards stability, and with fold broken line
Line between beginning and end becomes closer to, so as to lose the bending information that original broken line contains.
If Fig. 9 and Figure 10 are respectively the fold baseline glossy effect figure of jacket just half face dividing and back side piecemeal.Wherein, scheme
(a) lines in are the fold baseline of initial extraction, and the lines in figure (b) are the fold curve after smooth.
(4) fold curve and plication region merge
The first step, obtain the three-dimensional coordinate of the rugosity line of smooth back dart；
To carry out that Laplacian is smooth to the fold baseline of extraction in the plane of expansion before, it is smooth after fold it is bent
The coordinate put on line is two-dimensional plane coordinate, and the plication region refined is the clothing net region on three dimensions.Therefore, originally
Invention is needed to obtain the three-dimensional information of smooth curve, and work of preparing is merged with refine plication region for the fold curve after smooth
Make.The present invention will be using the concept of center-of-mass coordinate (barycentric coordinates), i.e., the point in geometric figure is relatively each
The position relationship on summit, realize it is smooth after fold curve on the two-dimensional coordinate put to three-dimensional coordinate mapping.
Assuming that there is triangle as shown in Figure 4 (a, b, c), (triangle can make the triangle on two dimensional surface to be
Triangle on three dimensions), it is designated as V, d is a summit on the triangle, and the line on d and Atria summit is three
Angular to be divided into three sub- delta-shaped regions, the area for remembering three sub- triangles respectively by diagram is Aa,AbAnd Ac, triangle (a,
B, c) area be designated as A.
Assuming that V center-of-mass coordinate is (α, beta, gamma), its center-of-mass coordinate meets (0<α<1), (0<β<And (0 1)<γ<1), and
And alpha+beta+γ=1.So V center-of-mass coordinate is calculated as follows：
The triangle for being in three dimensions that each triangle in expansion plane is both corresponded on three-dimensional clothing grid
Shape primitive, and its each summit also both corresponds to a summit of three dimensions.IfFor on the fold curve after smooth
A summit, andIn triangleOn.TriangleTriangle on corresponding three-dimensional clothing grid is
(a, b, c),The point being mapped on three-dimensional clothing grid is v, then v should be on triangle (a, b, c).So, after smooth
The mapping process of the two-dimensional coordinate put on fold curve to three-dimensional coordinate is described as follows：
A. basisWith triangleInformation, can calculateCenter-of-mass coordinate be (α, β, γ)；
B. the coordinate of the point v on three dimensions is：V=α a+ β b+ γ c.
Second step, the smooth rugosity line of back dart and plication region merges in three dimensions；
Obtain it is smooth after fold curve on summit three-dimensional coordinate after, it is necessary to further on curve summit be embedded in pleat
In the grid in wrinkle region, a part for plication region grid is become, to facilitate the generation of follow-up three-dimensional drape.Fold is bent
The telescopiny of line is inserted into triangular mesh equivalent to each point on curve.In order that generated after insertion new summit three
Hexagonal lattice is unlikely to that excessively elongated (i.e. the angle at some angle of the triangular mesh is excessively small, and certain a line is excessively short
Situation), the present invention will use for reference Delaunay triangulation network and format method, the insertion operation put.
Delaunay Triangulation Algorithms primary constraint is that Delaunay triangle properties, i.e., for Delaunay tri-
A triangle primitive on the grid of angle, if its three summits are a, b, c, the circumscribed circle of the triangle primitive is S, then except a, b,
Outside 3 points of c, any other summit is not in S.The top inserted using Delaunay methods to three-dimensional grid on fold curve
The step of point, is as shown in Figure 5.
Assuming that need to insert the new summit as shown in Fig. 5 (a) figure black round dots to original grid, then specific insertion
Step is as described below：
A. first, the triangle primitive that its circumscribed circle includes new summit is found out, as shown in Fig. 5 (b), there are three triangular bases
The circumscribed circle of member includes black new summit；
B. as these three triangle primitives rejected from grid shown in Fig. 5 (c), remove what is repeated between these three triangles
Side, the exclusive side of each triangle is left, as shown in Fig. 5 (d)；
C. the new triangle as shown in Fig. 5 (e) is formed as the triangle edges and black new summit left in previous step, finally
These triangles are embedded in original triangular mesh, as shown in Fig. 5 (f).
Fold baseline fusion experiment：It is to merge two pleats after smooth fold curve on jacket warp mesh as shown in figure 11
The design sketch in wrinkle region.In Figure 11, (a) and the positive plication region that (b) is jacket three-dimensional clothing grid model, (c)
It is the back side one plication region of jacket three-dimensional clothing grid model (d).Wherein, in the white net region in (a) and (C)
Black broken line is the fold baseline on the fold net region after subdivision, (b) and black curve in the white net region in (d)
For with refining the smooth fold curve after fold net region is merged.From Figure 11, fold curve is fused to the pleat after refinement
After rugosity line, turn into a part for refinement plication region.
Claims (1)
- A kind of 1. clothing fold baseline extraction method, it is characterised in that：According to the deformation analysis to clothing model meshes, pleat is carried out The track and extract and smooth treatment of wrinkle baseline, and fold curve is merged with plication region, three-dimensional grid is adjusted to obtain Final fold baseline；The track and extract and smooth treatment of fold baseline, suitable point is chosen in the two-dimensional grid plane of expansion and is used as a pleat The starting point of wrinkle baseline, then according to the summit stretch tensor tracking extraction whole piece fold baseline on each summit, to the pleat of extraction The baseline that wrinkles carries out smooth treatment, forms smooth fold curve, comprises the following steps that：(2.1) extraction fold baseline is followed the trail of according to the stretch tensor on each summit in the two-dimensional grid plane of expansion；(2.2) Laplacian smoothing methods are used, smooth treatment is carried out to the fold baseline of extraction, it is bent to form smooth fold Line, for the internal vertex p on broken line Li, do computingAnd calculate p 'i=pi+λL (pi), 0<λ<1, wherein p 'iFor piNew position point coordinates, the piIt must meet for non-borderline summit simultaneously；Fold curve merges with plication region, according to coordinate information of the fold curve after smooth on two dimensional surface, calculates It and is embedded into the fold baseline after smooth in plication region after refinement in the respective coordinates of three-dimensional grid；Specific step It is rapid as follows：(3.1) three-dimensional coordinate of the smooth rugosity line of back dart is obtained；The coordinate put on smooth fold curve is two-dimensional plane coordinate, and the plication region after refining is the clothing on three dimensions Thing net region；So using the concept of center-of-mass coordinate realize it is smooth after fold curve on the two-dimensional coordinate put to three-dimensional coordinate Mapping；(3.2) obtain it is smooth after fold curve on summit three-dimensional coordinate after, formatted method handle using Delaunay triangulation network In summit insertion plication region grid on curve, a part for plication region grid is become；Before the tracking of fold baseline is started, first by according to the characteristic value μ of the stretch tensor on each summiti1Order from small to large Summit all in plane is ranked up, all summits according to characteristic value μi1Size be put into a priority query, Next the tracking of fold baseline will be carried out in accordance with the following steps：Step 1：Choose characteristic value μ in queuei1Minimum point is seed starting point A, that is, elects first top on fold baseline as Point；By characteristic value μ in the adjacent vertex of seed starting pointi1Minimum summit is second summit B on fold baseline, and calculate this two Line direction between individual summit, next it will be carried out according to the direction on this line, due to the line on first two summits of selection On have both direction, the tracking of remaining fold baseline is carried out respectively along both direction, finally again by both direction with Track result merges；Step 2：One tracking direction is selected according to step 1；Step 3：The caudal apex that current vertex is the fold baseline on this direction is defined, its midpoint C is current point, fold The next summit D of baseline selection needs to meet following three conditions：A.D is and its characteristic value μ in one of current vertex C adjacent vertexi1Need the threshold value μ less than settingthresh；B. it is vectorialWith vectorBetween angle be no more than certain threshold θthresh1；C. it is vectorialWith vectorBetween angle be no more than certain threshold θthresh2；D is characteristic value μ in all summits for meet above three conditioni1Minimum summit.
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| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN102332180A (en) * | 2011-10-15 | 2012-01-25 | 杭州力孚信息科技有限公司 | Three-dimensional garment modeling and pattern designing method based on draping |
| KR20120012286A (en) * | 2010-07-30 | 2012-02-09 | 코오롱글로텍주식회사 | Antilifting fabric for vehicle leather seat |
| CN104156502A (en) * | 2014-07-18 | 2014-11-19 | 北京航空航天大学 | Position-based geometric formation method of clothing wrinkles |
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| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| KR20120012286A (en) * | 2010-07-30 | 2012-02-09 | 코오롱글로텍주식회사 | Antilifting fabric for vehicle leather seat |
| CN102332180A (en) * | 2011-10-15 | 2012-01-25 | 杭州力孚信息科技有限公司 | Three-dimensional garment modeling and pattern designing method based on draping |
| CN104156502A (en) * | 2014-07-18 | 2014-11-19 | 北京航空航天大学 | Position-based geometric formation method of clothing wrinkles |
Non-Patent Citations (1)
| Title |
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| "Animation Wrinkling: Augmenting Coarse Cloth Simulations with Realistic-Looking Wrinkles";Damien Rohmer 等;《ACM Transactions on Graphics (TOG)》;20101231;第29卷(第6期);论文第157-164页及图6 * |
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