CN107248163A - A kind of automatic generation method of decorative pattern expanded view towards rotationally symmetrical porcelain - Google Patents
A kind of automatic generation method of decorative pattern expanded view towards rotationally symmetrical porcelain Download PDFInfo
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- CN107248163A CN107248163A CN201710439516.XA CN201710439516A CN107248163A CN 107248163 A CN107248163 A CN 107248163A CN 201710439516 A CN201710439516 A CN 201710439516A CN 107248163 A CN107248163 A CN 107248163A
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06T—IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
- G06T11/00—2D [Two Dimensional] image generation
- G06T11/001—Texturing; Colouring; Generation of texture or colour
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06T—IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
- G06T7/00—Image analysis
- G06T7/10—Segmentation; Edge detection
- G06T7/187—Segmentation; Edge detection involving region growing; involving region merging; involving connected component labelling
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06T—IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
- G06T7/00—Image analysis
- G06T7/40—Analysis of texture
Abstract
The invention discloses a kind of automatic generation method of the decorative pattern expanded view towards rotationally symmetrical porcelain, comprise the following steps：Step one, the data message of model of the input with 2 d texture；Step 2, upright model is obtained based on symmetry axis rotating model, and then obtains the front view of its all around four direction；Four front views of acquisition analyze the accumulation gradient figure of generation model by step 3 using gradient operator；Step 4, computation model cutting planes complete the segment processing to model in itself on the basis of the accumulation gradient figure of acquisition；Step 5, round platform fitting is carried out to each segmented model of acquisition；Step 6, judges to whether there is the special area of texture-free in round platform fitting, then merges if there is texture-free region with generation round platform；Otherwise carry out round platform surface texture expansion generation plane decorative pattern expanded view based on Surface Parameterization method the decorative pattern on porcelain surface from three-dimensional implements unfolded surface to the new technique on two dimensional surface.
Description
Technical field
The invention belongs to field of Computer Graphics, more particularly to it is a kind of decorative pattern expanded view towards rotationally symmetrical porcelain
Automatic generation method.
Background technology
The parametrization of grid surface:The parametrization of grid surface refers to set up a mapping relations so that on grid surface
Summit be mapped to by this mapping relations in parameter region.According to the difference of parametrization target, parametric method can be divided into
Two major classes：(1) coordinate transform is directly utilized；(2) parameter is realized using an auxiliary surface or solid as intermediary
Change.But the three-dimensional grid that can not a be opened up curved surface is mapped into plane will be inevitably generated length, area, angle
On torsional deformation.Many methods are put forth effort on the premise of geometry measurement is kept reduces the distortion that parametrization is caused, such as leads to
Crossing makes the Dirichlet energy minimum of mapping to construct to the non-linear linear approximation for reconciling and mapping；Put down by a parameter
Weighing apparatus protects the influence that both area and conformal degree linear hybrid are produced to final distortion, then minimizes the distortion energy of linear hybrid
Flow function.In our method, we are parameterized using round platform as intermediary.
The fitting of round platform：Geometrical fit is carried out to cloud data, is exactly to be surrounded with simple geometrical body in cloud data
All points, and make the volume of these geometrical bodies minimum.Many researchers are achieved very using cylinder fitting cloud data
Big progress.But in practice process, simple use cylinder fitting three-dimensional body not can solve all ask
Topic, for our implements to be processed, it is a kind of more efficient way to be fitted using cone.Quasi- least square
Method is fitting quadric common method such as the face of cylinder and circular conical surface.
The content of the invention
The problem of existing for prior art, the present invention provides oneself of a kind of decorative pattern expanded view towards rotationally symmetrical porcelain
Dynamic generation method, the present invention is from three-dimensional implements unfolded surface to two based on Surface Parameterization method the decorative pattern on porcelain surface
New technique on dimensional plane, the present invention can aid in drawing to realize the porcelain surface line with rotational symmetry for engaging in archaeological studies
The sectional plan expansion of decorations.
In order to solve the problem of prior art is present, the present invention provides technical scheme：
1st, a kind of automatic generation method of decorative pattern expanded view towards rotationally symmetrical porcelain, comprises the following steps：
Step one, the data message of model of the input with 2 d texture；
Step 2, upright model is obtained based on symmetry axis rotating model, and then obtains its four direction all around
Front view；
Four front views of acquisition analyze the accumulation gradient figure of generation model by step 3 using gradient operator；
Step 4, computation model cutting planes are completed at model segmentation in itself on the basis of the accumulation gradient figure of acquisition
Reason；
Step 5, round platform fitting is carried out to each segmented model of acquisition；
Step 6, judge round platform fitting in whether there is texture-free special area, if there is texture-free region then with
Round platform is generated to merge；Otherwise round platform surface texture expansion generation plane decorative pattern expanded view is carried out.
Gradient map described in the step 3 is to obtain model by orthographic projection mode all around four direction is faced
Figure, the vertical gradient distribution of four front views is calculated using gradient operator respectively, and the absolute of front view that add up in the horizontal direction
It is worth sum, obtains the distribution of one-dimensional gradient absolute value sum.
The line of cut plane is that the position acutely changed occurs for gradient absolute value sum, is found and cut using formula (1)
The position of line:
Wherein, LiThe i-th row is represented,The gradient of the i-th row is represented, ε is the threshold value being manually set, LCRepresent the cutting found
Line.Round platform fitting can obtain expansion plane by equation below (2) in the step 5：
Wherein,
Wherein, (x, y, z) represents the point in three dimensions, and (X, Y) represents the point on two dimensional surface corresponding thereto, h
Represented the height and radius of point (x, y, z) and the round platform parallel with former round platform bottom surface respectively with r, H and R represent former circle respectively
The height and radius of platform, yAA y-coordinate value is represented, θ represents the fan-shaped central angle after round platform expansion.
Overlapping region in expansion plane is eliminated by equation below (3)；
Wherein,WithFragment i coboundary and lower boundary is represented respectively.
Texture-free region merges with generation round platform and comprised the following steps in the step 6：
First, determine whether the Grad in texture-free region is less than the region of given threshold value；
Second, the texture-free region neighbours region close with its radius is merged by formula (4)
Wherein, CiRepresent i-th of round platform, RiRepresent the bottom radius surface of i-th of round platform；
3rd, fitting and the planar development of round platform are re-started according to the result after merging.
Beneficial effect
The basis of the present invention is the acquisition of model cutting plane, and being divided into model by cutting planes can be approximately with circle
Platform fitting fragment so that with round platform expansion formula realize with rotational symmetry porcelain surface texturing from threedimensional model to
The approximate expansion of two dimensional surface.The present invention has advantages below：
(1) Texture Segmentation can automatically be realized.Compared with existing Texture Segmentation Methods, the present invention can reach me
Desired Texture Segmentation effect.
(2) this method is related to the adjustment for being deployed into and being laid out after plane, reaches the purpose for being easy to observation.
(3) present invention not only reduces the time needed for drawing, has saved manpower thing compared with traditional archaeology drawing
Power, and the demand for going to touch precious implements with body is reduced, reach the purpose of protection implements.
Brief description of the drawings
Fig. 1 is flow chart of the present invention；
Fig. 2 is the location drawing picture that the present invention searches porcelain Texture Segmentation by gradient operator；Wherein：(a) for before model
The front view of left and right four direction afterwards, figure (b) is the gradient map drawn with matlab, and figure (c) is the cutting planes found；
Fig. 3 is the expanded view of round platform in the present invention；
Fig. 4 is the special circumstances figure that round platform expansion runs into the present invention；(a) in figure represents model and cutting planes, figure
In (b) represent horizontal cutting planes through tri patch a summit and a line；Scheme (c) and represent horizontal cutting planes
Through two sides of tri patch；Scheme (d) and represent that vertical cutting planes pass through tri patch, cause the tri patch after expansion
It is distributed on the border of developed surface；
Fig. 5 is the adjustment of two dimensional topology after present invention expansion：It is the result figure before distributing adjustment to scheme (a)；It is layout to scheme (b)
Result figure after adjustment.
Fig. 6 is the merging figure in texture-free region in the present invention.
Embodiment
The present invention is explained in detail below in conjunction with the accompanying drawings.
As shown in figure 1, the present invention provides a kind of automatic generation method of decorative pattern expanded view towards rotationally symmetrical porcelain, bag
Include following steps：
Step one 101, model data information of the input with 2 d texture；
Step 2 102, based on the model that symmetry axis side's rotating model is upright, and then obtains its four direction all around
Front view；Four front views of acquisition are analyzed, the accumulation gradient of generation model by step 3 103 using gradient operator
Figure；
Wherein, the analysis based on gradient operator is specially to utilize Sobel gradient operator computation model four direction front views
Vertical gradient, and the absolute value sum for the front view that adds up in the horizontal direction obtains point of one-dimensional gradient absolute value sum
Cloth.
Step 4 104, computation model cutting planes complete point to model in itself on the basis of the accumulation gradient figure of acquisition
Section processing；
A) position of line of cut is defined as the position that the generation of gradient absolute value sum acutely changes, and utilizes formula (1) to find
The position of line of cut:
Wherein, LiThe i-th row is represented,The gradient of the i-th row is represented, ε is the threshold value being manually set, LCRepresent the cutting found
Line.
B) line of cut found on image is mapped on threedimensional model according to orthographic projection principle, so as to be cut
The position of plane.
Step 5 105, round platform fitting is carried out to each segmented model of acquisition；
Wherein, the derivation of fitting and expansion formula based on expandable curved face round platform comprises the following steps：
A) model is split according to cutting planes, and the approximate plan of round platform is carried out to the model fragment obtained after segmentation
Close.
B) the planar development formula that the round platform after fitting is derived according to us is deployed.
C), need to be tri patch along cutting planes or developed surface when tri patch, which is cut plane or developed surface, to be run through
Sub- tri patch is split as again respectively to be deployed.
Wherein, the adjustment being laid out after plane is deployed into comprise the following steps：
A) size of the bounding box of each texture fragment after expansion is calculated.
B) on the basis of nethermost texture fragment, the vertical position of mobile other fragments causes the bounding box phase of fragment
Cut, vertical position is calculated to be defined by formula (2)：
Wherein,WithFragment i coboundary and lower boundary is represented respectively.
Step 6 106, judges to whether there is the special area of texture-free in round platform fitting, if there is texture-free region then
Merge with generation round platform and return again to step 5 105；Wherein, texture-free region merging technique comprises the following steps：
A) determine the position in texture-free region, select radius in its adjacent round platform it is close merge 107.
B) fitting and expansion of round platform are re-started according to the result after merging.Otherwise round platform surface texture exhibition is carried out
Open plane (108,109) of the generation with 2 d texture.
As shown in Fig. 2 for the three-dimensional porcelain model with rotational symmetry, first with conventional symmetry axis estimation side
Method calculates its symmetry axis, rotating model until the direction of symmetry axis is overlapped with the vertical direction of coordinate system.Wherein (a) is model
The all around front view of four direction, is the front view that model all around four direction is obtained by orthographic projection mode, profit
Calculate the vertical gradient distribution of four front views respectively with Sobel gradient operators, and the absolute of front view that add up in the horizontal direction
It is worth sum, obtains the distribution of one-dimensional gradient absolute value sum, that is, it is the gradient map drawn with matlab to scheme (b).Then by public affairs
Formula (1) determines the maximum position of absolute value sum change, regard this position as the position of line of cut.
Wherein, LiThe i-th row is represented,The gradient of the i-th row is represented, ε is the threshold value being manually set, LCRepresent the cutting found
Line.
Wherein figure (c) is the cutting planes found according to the principle of orthographic projection, the distance and mould of model vertices to cut surface
The ratio of the height of type is in two-dimentional front view and meets the relation of equal proportion in three dimensions.Therefore we will can obtain
Line of cut be mapped to three dimensions, so as to obtain the position of model cutting plane.
As shown in figure 3, splitting according to cutting planes to model, the tri patch of model is divided into different models
Fragment.To the model fragment obtained after segmentation, all tri patch summits that fragment is included are arrived and horizontal plane by orthographic projection
On vertical front view, the round platform contour line with minimum area is fitted with projected vertex.Round platform based on fitting, we
Round platform can be derived to the expansion formula of plane：
Wherein,
Wherein, (x, y, z) represents the point in three dimensions, and (X, Y) represents the point on two dimensional surface corresponding thereto, h
Represented the height and radius of point (x, y, z) and the round platform parallel with former round platform bottom surface respectively with r, H and R represent former circle respectively
The height and radius of platform, yAA y-coordinate value is represented, θ represents the fan-shaped central angle after round platform expansion.The specific of each symbol contains
Justice is shown in accompanying drawing 3.
As shown in Figure 4, it should be noted that can run into several special circumstances, it is necessary to individually be located during expansion
Reason：
I. tri patch by horizontal cutting planes be divided into above and below two parts, see accompanying drawing 3.Cut plane is now needed to wear
The triangle crossed is divided into two parts.For each section, if triangle then directly deploys；If quadrangle, then connect
The diagonal of quadrangle is connect, is divided into two triangles and is deployed respectively.
Ii. tri patch is divided into left and right two parts by initial deployment plane, if such a situation is directly deployed, opens up
The result opened is shown in accompanying drawing 3.Therefore we need also exist for being divided into two parts is deployed respectively.
As shown in figure 5, to be deployed into the adjustment being laid out after plane：The model fragment each split is fitted and plane through round platform
Fall after expansion in the plane, there may be overlapping each other.This step is used to adjust the vertical position of expansion fragment in the plane
Put, eliminate each other overlapping, form the two-dimentional decorative pattern expanded view for being easy to observation.One feasible way is to calculate each
The bounding box of texture fragment after expansion, on the basis of nethermost fragment, the position of other fragments is adjusted according to formula (3),
So that the bounding box of adjacent segment is tangent；
Wherein,WithFragment i coboundary and lower boundary is represented respectively.
As shown in fig. 6, texture-free region merging technique comprises the following steps：
The surface texture of threedimensional model there may be the region of the basic blank in part, and this kind of region is generally narrow segment.This
Step merges this kind of fragment with adjacent segmentation, and result is deployed to produce more coherent decorative pattern.One feasible to do
Method is to determine that the region that Grad is less than given threshold value is non-textured regions first, then by it with being approached with its radius
Neighbours region merge and (defined by formula 4), the fitting and plane exhibition of round platform are re-started according to the result after merging
Open.
Wherein, CiRepresent i-th of round platform, RiRepresent the bottom radius surface of i-th of round platform；
The input of the algorithm is to post the threedimensional model of texture, by obtaining the symmetry axis of model come rotating object to obtain
The front view of model all around four direction, the vertical gradient point of four front views is calculated using sobel gradient operators respectively
Cloth, and the absolute value sum of the gradient of front view is asked in the horizontal direction.The cutting that model is found in the gradient map of acquisition is put down
Face, so as to realize the segmentation to model.And then round platform fitting is carried out to each segmented model.The texture-free produced for segmentation
Special area, we are by comparing the similarity of the radius in this region and neighbouring region, to realize texture-free region
Merge.Realize that the segmentation to segmented model surface texture deploys using expansion formula.To the 2 d texture being deployed into plane,
Texture is moved by asking for the bounding box of every section of texture so that non-overlapping copies between texture, to reach Optimal flattening result
Purpose.
Claims (6)
1. the automatic generation method of a kind of decorative pattern expanded view towards rotationally symmetrical porcelain, it is characterised in that comprise the following steps：
Step one, model data information of the input with 2 d texture；
Step 2, upright model is obtained based on symmetry axis rotating model, so obtain its all around four direction face
Figure；
Four front views of acquisition are analyzed, the accumulation gradient figure of generation model by step 3 using gradient operator；
Step 4, computation model cutting planes complete the segment processing to model in itself on the basis of the accumulation gradient figure of acquisition；
Step 5, round platform fitting is carried out to each segmented model of acquisition；
Step 6, judge round platform fitting in whether there is texture-free special area, if there is texture-free region then with generation
Return to step five after round platform merges；Otherwise round platform surface texture expansion generation plane decorative pattern expanded view is carried out.
2. a kind of automatic generation method of decorative pattern expanded view towards rotationally symmetrical porcelain according to claim 1, it is special
Levy and be, gradient map described in the step 3 is to obtain model by orthographic projection mode all around four direction is faced
Figure, the vertical gradient distribution of four front views is calculated using gradient operator respectively, and the absolute of front view that add up in the horizontal direction
It is worth sum, obtains the distribution of one-dimensional gradient absolute value sum.
3. a kind of automatic generation method of decorative pattern expanded view towards rotationally symmetrical porcelain according to claim 1, it is special
Levy and be, the line of cut plane is that the position acutely changed occurs for gradient absolute value sum, and line of cut is found using formula (1)
Position:
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4. a kind of automatic generation method of decorative pattern expanded view towards rotationally symmetrical porcelain according to claim 1, it is special
Levy and be, round platform fitting can obtain expansion plane by equation below (2) in the step 5：
Wherein,
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Wherein, (x, y, z) represents the point in three dimensions, and (X, Y) represents the point on two dimensional surface corresponding thereto, and h and r divide
The height and radius of point (x, y, z) and the round platform parallel with former round platform bottom surface were not represented, and H and R represent the height of former round platform respectively
And radius, yAA y-coordinate value is represented, θ represents the fan-shaped central angle after round platform expansion.
5. a kind of automatic generation method of decorative pattern expanded view towards rotationally symmetrical porcelain according to claim 4, it is special
Levy and be, overlapping region in expansion plane is eliminated by equation below (3)；
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Wherein,WithFragment i coboundary and lower boundary is represented respectively.
6. a kind of automatic generation method of decorative pattern expanded view towards rotationally symmetrical porcelain according to claim 1, it is special
Levy and be, texture-free region merges with generation round platform and comprised the following steps in the step 6：
First, determine whether the Grad in texture-free region is less than the region of given threshold value；
Second, the texture-free region neighbours region close with its radius is merged by formula (4)
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Wherein, CiRepresent i-th of round platform, RiRepresent the bottom radius surface of i-th of round platform；
3rd, fitting and the planar development of round platform are re-started according to the result after merging.
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|---|---|---|---|---|
| CN107833227A (en) * | 2017-10-31 | 2018-03-23 | 苏州乐米信息科技股份有限公司 | A kind of method for drafting and its system of circular clipping region |
| CN112652075A (en) * | 2021-01-30 | 2021-04-13 | 上海汇像信息技术有限公司 | Symmetric fitting method of symmetric object 3D model |
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| CN107833227A (en) * | 2017-10-31 | 2018-03-23 | 苏州乐米信息科技股份有限公司 | A kind of method for drafting and its system of circular clipping region |
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| CN112652075A (en) * | 2021-01-30 | 2021-04-13 | 上海汇像信息技术有限公司 | Symmetric fitting method of symmetric object 3D model |
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| CN107248163B (en) | 2020-11-10 |
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