CN108230452A - A kind of model filling-up hole method based on textures synthesis - Google Patents
A kind of model filling-up hole method based on textures synthesis Download PDFInfo
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Abstract
The invention discloses the model method for repairing and mending based on textures synthesis, and the textured triangle grid model containing hole is selected first, not considered input model the conventional method filling-up hole of texture information, and carry out fairing processing as input；Secondly, characteristic displacement vector is isolated as matched indicia information by the use of multi-level technique；Then parameterized treatment is carried out to the base surface mesh after fairing and obtains two dimensional surface, completed the sampling on each vertex in parametrization plane, obtain the sample set of blocks being made of each vertex sampling area；Then the best match sample block of sample block to be repaired is searched for, and the new texture information in vertex is added on base surface mesh, spirally updates inner vertex information in region to be repaired successively to be similar to；Finally according to updated grid vertex information, addition constraints solves system of linear equations, and the new coordinate in reverse vertex completes target gridding reconstruct.So as to solve the problems, such as that textural characteristics lack after the textured triangle grid model repairing containing hole.
Description
Technical field
The invention belongs to the methods that 3-dimensional digital geometric manipulations technical field more particularly to grid model are repaired.
Background technology
The hole repair of grid model belongs to one kind in 3-dimensional digital geometric manipulations technology, three-dimensional scanning measurement equipment,
The factors such as measuring method and human error cause model data to lack, and after point cloud pretreatment or trigonometric ratio, are formed not
Complete surface defect.The formation of hole influences threedimensional model visual effect and later stage geometric manipulations, such as surface modeling and editor
Deng, and the development of model repairing technique also provides new means and tool for cultural relic conservation and research.The repairing of general hole
Research main method has radial basis functions, diffusion method, B-spline curves interpolation method, template deformation method etc., and hole repair is in itself
It is an ill-conditioning problem.Various symmetrical structures can be carried out by extracting symmetry axis, plane of symmetry etc. in the form of symmetry transformation
It repairs, and for universal model, how research tendency mainly efficiently uses its peripheral information and realizes that Porous Characteristic details is extensive
It is multiple.
Geometric error modeling is commonly used to represent the fine structure on rough geometric model surface, such as fur, fabric surface, synthesizes skill
Art also becomes the important means of the enhancing sense of reality；As image texture synthetic technology reaches its maturity, it is extended to three-dimensional geometry
The technology of textures synthesis also plays a very important role in fields such as Design and machining of products, analogue simulation, biological informations.Texture
Synthetic technology is broadly divided into：It is generated according to the multiple parameters of geometric error modeling parameter model；Printenv synthesizes a pixel every time
Point；Based on the multiple pixels of sample single sintering.Because most practical textures have coarse morphology, image line
Reason synthetic technology cannot simply meet the synthesis of three-D grain；Most of research all concentrates on image texture and geometric error modeling closes
Into theory and method improve on, such as select different geometric error modeling synthetic methods or sample matches criterion could be adjusted to
Innovatory algorithm, but geometric error modeling details synthetic effect is not satisfactory.
In conclusion due to existing grid model hole repair method, there are still precision is high, model original geometry texture
Minutia cannot obtain the problems such as complete correction, therefore a kind of new it is necessary to propose for the hole of textured grid model
Scheme.
Invention content
The purpose of the present invention is to overcome the deficiency in the prior art, proposes a kind of model method for repairing and mending based on textures synthesis.
Of less demanding for the little texture model of common Curvature varying itself, geometric error modeling synthetic technology had both been widened this method and had been applicable in
The popularity of model, the adaptively sampled method independent of grid vertex neighborhood point also enhance the operability of model repairing
And accuracy；At the same time, the texture characteristics after repairing and archetype realization can be connected and transition naturally, compare
There is more preferably minutia retentivity in existing model method for repairing and mending.
The technical solution adopted by the present invention to solve the technical problems is：
A kind of model method for repairing and mending based on textures synthesis, flow include following steps：
Step 1) pre-processes；
Textured model M containing hole is inputted, model is carried out at filling-up hole using the conventional method for not considering texture information
Reason obtains model Mo, then to MoFairing is carried out to operate to obtain basal plane grid model MS, refer again to multiresolution thought and isolate table
Levy the motion vector of minutia information；
Step 2) basal plane Grid Sampling；
To basal plane grid model MSParameterized treatment is carried out, two dimensional surface P is obtained, each vertex sample block is carried out in P
Sampling, specifies the range size of single sampling block, and calculates the characteristic information that single sampled point contains；
Step 3) Exemplar Matching；
For the sample block B of sample range covering area to be repaired, its part effective information B is utilized0As between sample block
Measuring similarity standard；To in the similar target search region of missing texture, being carried out to each vertex sample block one by one
Match, obtain best match sample block A；
Step 4) feature migrates；
It is arrived because the direction of normal on model different location feature vertex is different, therefore by best match sample block A information transfers
Unknown message B in sample block B1In the process, it needs to be based on grid model MsThe local frame of foundation is migrated for medium, is protected
Demonstrate,prove original attribute of feature to be repaired；
Step 5) spirally updates Porous Characteristic；
After sample block B completes matching and feature migration, basal plane grid model MsForamen primum hole bounds are gradually reduced, and are formed
New sample block B ' to be repaired；Then repeat step 3 and step 4 finds fresh target sample block A ' and completes feature migration；
Continue to repeat step 3 and step 4 so that area to be repaired information also be similar to spirally to hole border inner more
Newly, until its information, all update completion iteration obtains Mn；
Step 6) reconstructs target gridding.
Because of model MoWith MsWith identical topological structure, therefore utilize model MoThe Xin Lapu on former perforated Nei Ge vertex
Lars coordinate by solving the new cartesian coordinate in system of linear equations reverse target gridding vertex, is finally completed target gridding reconstruct Mt。
In a preferred embodiment：The step 1 specifically includes：
A textured triangle grid model containing hole is inputted, model surface hole is closed for simply connected, hole portion
Dividing has geometric error modeling missing；Conventional method filling-up hole of texture information is not considered it, and carries out fairing processing, utilizes more points
Resolution technology isolates characteristic displacement vector.
In a preferred embodiment：The conventional method filling-up hole method is：
The textured triangle grid model M of the cap holes containing simply connected is inputted, by identifying hole boundary feature, finds institute
The region to be repaired；Delaunay Triangulation is carried out to repairing area boundary curve dimensionality reduction, and to the closed area, with entire
The net lattice control length of side is that reference judges whether to need the newly-increased point of insertion, and thin according to the round characteristic of sky and side displacement principle progress grid
Change, meet the density that newly-increased mesh-density is not less than periphery grid, and avoid generating long-narrow triangular mesh as far as possible；Solve linear side
After journey group carries out Mesh Fusion, the model M of missing textural characteristics is obtainedo。
In a preferred embodiment：The method of the fairing processing is：
To isolate the motion vector of characterization minutia information, need, by attribute feature is accumulate in grid vertex, to adopt
The basal plane grid model M without any texture feature information is obtained with Taubin fairingS, there is no any textural characteristics grids
On, it is approximately zero that each apex Laplce, which sits target value,.
In a preferred embodiment：It is described isolate characteristic displacement vector using multi-level technique method be：
High frequency detail feature from the grid model with textural characteristics is separated, will be contained using multi-level technique
Laplce's coordinate of textured feature grid does difference operation with Laplce's coordinate without textural characteristics grid；Because of model Mo
And MSI-th of vertex viThe topological structure at place is identical, that is, the displacement of characterization grain details geometric properties information separated to
Amount.
In a preferred embodiment：The step 2 includes：
Parameterized treatment is carried out to basal plane grid model, each vertex sample block sampling is carried out in parametrization plane, is adjusted
Whole parameter determines the range size of single sampling block, and calculates the characteristic information that single sampled point contains.
In a preferred embodiment：It is described to basal plane grid model carry out parameterized treatment method be：
It is after each vertex parameter the result is that according to shortest path in dijkstra's algorithm in mesh parameterization DEM algorithms
Previous neighborhood point carries out what diffusive transport obtained on diameter；Added by the relevant information that parametrization vertex has been completed around opposite vertexes
Weight average obtains the geodetic vector of each apex and coordinate substrate, then realizes improved dispersion index mapping parameters successively
Change method obtains parametrization two dimensional surface P.
In a preferred embodiment：The sample block method of sampling includes：
1. the average side length L of initial voids model M is obtained respectively0, the UV of each apex is sat on grid in parameter field P
Mark；
2. single sample block, using vertex as the center position of sampling area, sampled point is whole with spiral array aligned transfer
The square distribution of body, and sampling point distributions not necessarily overlap on grid with grid vertex；
3. set SnFor the dimension of sample block square area sampled point array, SlBetween sampled point either vertically or horizontally
The unit distance in direction, it is necessary to meet SnFor odd number, SlNo more than L0；
4. single sample block square area culminating point considers not as sampled point, the sample centered on current vertex
The textural characteristics that block must cover signal period feature or area to be repaired is lacked, sampled point according to spiral array shape
Formula is regular to be stored；
5. by Laplce's coordinate information on gore on piece vertex where sampled point, interpolation calculation goes out the sampled point
Laplce's coordinate, curvature and method arrow etc. textural characteristics relevant information；
6. calculating all sampling point informations of single sample block, after repeating 5., deposited as a separate unit
Storage；
5. and 6. 7. traversing all vertex on grid, repeat, to match for subsequent characteristics and important evidence is provided.
In a preferred embodiment：The step 3 includes：
The sample block B of texture information to be repaired is covered for sample range, its part effective information B can be utilized0As sample
Similitude judgment criteria between this block；During searching for the missing most like target sample block of texture sample block, traversal is each
A sample block is matched one by one, the minimum as best match sample block A of deviation.
In a preferred embodiment：The similitude judgment criteria is：
Effective information B0That is the sampling point information of known textural characteristics in sample block B, target sample block i.e. its all adopt
The characteristic information of sampling point is known；Similitude judgment criteria, that is, sample block B and effective information sampled point in target sample block
It is sequentially matched one by one, one group of data of determining method arrow and curvature information deviation minimum.
In a preferred embodiment：The step 4 includes：
It is arrived because the direction of normal on model different location feature vertex is different, therefore by best match sample block A information transfers
Unknown message B in sample block B1In the process, it needs to be based on grid model MsThe local frame of foundation carries out feature for medium and moves
It moves, it is ensured that original attribute of feature to be repaired.
In a preferred embodiment：The local frame of the foundation is：
1. according to that need to establish local frame grid vertex and parameterize the relationship between source point method arrow, spin matrix is calculated
M；
2. a base vector n as local frame is sweared using the method that need to establish local frame grid vertex；
3. upper one of Selecting All Parameters source point tangent plane cuts arrow as benchmark, rotation transformation is carried out using M, obtains office
Another base vector e of portion's frame1；
4. the base vector n that need to establish local frame grid vertex and another base vector e1 multiplication crosses are obtained secondary method swears e2；
5. base vector n, e1, the e2 on current grid vertex have respectively constituted its local frame；
6. repeat above operation the local frame that can obtain other vertex.
In a preferred embodiment：The feature migration includes：
1. the feature of best match sample block is moved to sample block to be repaired, operation object is divided into the central network of sample block
Lattice vertex and sampled point；
2. the feature migration between grid vertex, can be by establishing respective local frame, then component carries out corresponding pass
It is assignment operation；
3. the feature migration in sample block between sampled point, can be as needed updated by the corresponding sequence of sampling,
Then interpolation obtains the texture feature information on patch Intranet lattice vertex to be repaired；
It 4., need to be into row information again for the sample block with the sample block there are overlapping region after current patch update to be repaired
Update migrates convenient for subsequent match and feature；
5. after the completion of characteristic matching, other patch texture information updates to be repaired can be completed by continuing to repeat above operation.
In a preferred embodiment：The step 5 is specially：The initial block of samples on coverage hole boundary completes matching and spy
It relocates residents from locations to be used for construction of new buildings or factories after shifting, closing of the frontier curve ranges in foramen primum hole are gradually reduced, and form new sample block to be repaired；Then it is repeated in carrying out
Exemplar Matching and feature migration operation so that area to be repaired information also be similar to spirally to hole border inner more
Newly, until its information, all update completion iteration obtains grid model Mn。
In a preferred embodiment：The step 6 is specially：Because of model MoWith MsTopological structure is identical, therefore utilizes MoForamen primum
Laplce's coordinate new after each apex feature update, new by solving vertex on system of linear equations reverse target gridding in the region of hole
Cartesian coordinate is finally completed target gridding reconstruct Mt。
It is of the invention compared with existing the relevant technologies, have the advantages that：
(1) for of less demanding, the applications expanding of geometric error modeling synthetic technology of the little texture model of Curvature varying itself
The popularity of this method applicable models, for the model of different texture feature, no matter whether textural characteristics have periodically, no
It is whether uniform by its mesh-density, it can realize considerable effect；
(2) the adaptively sampled method independent of grid vertex neighborhood point, enhance model repairing operability and
Accuracy reduces the influence error that grid vertex variation causes sample information, spatial sampling problem is converted to two-dimensional geometry
Problem, computational efficiency are high, intuitive and easy to understand；
(3) effect model finally realized not only retains and efficiently utilizes the textural characteristics of initial model, but also after repairing
The realization of texture characteristics and archetype be connected naturally and transition, compared to existing model method for repairing and mending with more excellent
Minutia retentivity.
The present invention is described in further detail with reference to the accompanying drawings and embodiments, but one kind of the present invention is closed based on texture
Into model filling-up hole method be not limited to embodiment.
Description of the drawings
Fig. 1 is the flow diagram of the present invention；
Fig. 2 is textured grid model of the embodiment of the present invention containing hole；
Fig. 3 is that the embodiment of filling-up hole effect is carried out to model using the conventional method for not considering texture information；
Fig. 4 is embodiment basal plane grid model of the present invention；
Fig. 5 is the sample block schematic diagram for parameterizing grid vertex in plane；
Fig. 6 is feature principle of displacement schematic diagram between the block to be repaired with target sample on basal plane grid model；
Fig. 7 is that basal plane grid model figure 5 above and Fig. 6 constantly repeat newer path profile, and curve represents spiral rail
Mark, dotted line representative sample block more new direction；
Fig. 8 is that embodiment Fig. 7 of the present invention completes the updated basal plane grid model of feature；
Fig. 9 is to have updated characteristic shown in Fig. 8 to carry out the model after Mesh Fusion with initial texture model.
Specific embodiment
As shown in Figure 1, a kind of model filling-up hole method based on textures synthesis, specifically includes following steps：
A kind of model method for repairing and mending based on textures synthesis, specifically includes following steps：
Step 1) pre-processes
A textured triangle grid model containing hole is inputted, model surface hole is closed for simply connected, hole portion
Dividing has geometric error modeling missing；Conventional method filling-up hole of texture information is not considered it, and carries out fairing processing, utilizes more points
Resolution technology isolates characteristic displacement vector.
It is in the specific practice of step 1：Textured model M containing hole is inputted, using the routine for not considering texture information
Method carries out filling-up hole to model and handles to obtain model Mo, then to MoFairing is carried out to operate to obtain basal plane grid model MS, refer again to
Multiresolution thought isolates the motion vector of characterization minutia information.
Wherein, the conventional method filling-up hole method for not considering texture information is：
The textured triangle grid model M of the cap holes containing simply connected is inputted, by identifying hole boundary feature, finds institute
The region to be repaired；Delaunay Triangulation is carried out to repairing area boundary curve dimensionality reduction, and to the closed area, with entire
The net lattice control length of side is that reference judges whether to need the newly-increased point of insertion, and thin according to the round characteristic of sky and side displacement principle progress grid
The minimum angle for changing the tri patch formed is maximum；Meanwhile need to meet the density that newly-increased mesh-density is not less than periphery grid, and
It avoids generating long-narrow triangular mesh as far as possible；After solving system of linear equations progress Mesh Fusion, the model of missing textural characteristics is obtained
Mo。
The method for fairing is：
To isolate the motion vector of characterization minutia information, need, by attribute feature is accumulate in grid vertex, to adopt
The basal plane grid model M without any texture feature information is obtained with Taubin fairingS, there is no any textural characteristics grids
On, it is approximately zero that each apex Laplce, which sits target value,.
The method of the separation characteristic motion vector is：
High frequency detail feature from the grid model with textural characteristics is separated, will be contained using multi-level technique
Laplce's coordinate of textured feature grid does difference operation with Laplce's coordinate without textural characteristics grid；Because of model Mo
And MSI-th of vertex viThe topological structure at place is identical, that is, the displacement of characterization grain details geometric properties information separated to
Amount.
Step 2) basal plane Grid Sampling
Parameterized treatment is carried out to basal plane grid model, each vertex sample block sampling is carried out in parametrization plane, is adjusted
Whole parameter determines the range size of single sampling block, and calculates the characteristic information that single sampled point contains.
The specific practice of the step 2 is：To basal plane grid model MSParameterized treatment is carried out, obtains two dimensional surface P,
Each vertex sample block sampling is carried out in P, specifies the range size of single sampling block, and calculate the feature that single sampled point contains
Information.
Wherein, it is to the method for basal plane grid model progress parameterized treatment：
It is after each vertex parameter the result is that according to shortest path in dijkstra's algorithm in mesh parameterization DEM algorithms
Previous neighborhood point carries out what diffusive transport obtained on diameter；Added by the relevant information that parametrization vertex has been completed around opposite vertexes
Weight average obtains the geodetic vector of each apex and coordinate substrate, then realizes improved dispersion index mapping parameters successively
Change method obtains parametrization two dimensional surface P.
The specific method of sample block sampling is：
1. the average side length L of initial voids model M is obtained respectively0, the UV of each apex is sat on grid in parameter field P
Mark；
2. single sample block, using vertex as the center position of sampling area, sampled point is whole with spiral array aligned transfer
The square distribution of body, and sampling point distributions not necessarily overlap on grid with grid vertex；
3. set SnFor the dimension of sample block square area sampled point array, SlBetween sampled point either vertically or horizontally
The unit distance in direction, it is necessary to meet SnFor odd number, SlNo more than L0；
4. single sample block square area culminating point considers not as sampled point, the sample centered on current vertex
The textural characteristics that block must cover signal period feature or area to be repaired is lacked, sampled point according to spiral array shape
Formula is regular to be stored；
5. by Laplce's coordinate information on gore on piece vertex where sampled point, interpolation calculation goes out the sampled point
Laplce's coordinate, curvature and method arrow etc. textural characteristics relevant information；
6. calculating all sampling point informations of single sample block, after repeating 5., deposited as a separate unit
Storage；
5. and 6. 7. traversing all vertex on grid, repeat, to match for subsequent characteristics and important evidence is provided.
Step 3) Exemplar Matching
For the sample block of sample range covering area to be repaired, by the use of its part effective information as the phase between sample block
Like degree measurement standard；In the target search region similar to missing texture, each vertex sample block is matched one by one, it can
Obtain best match sample block.
The specific practice of the step 3 is：
The sample block B of texture information to be repaired is covered for sample range, its part effective information B can be utilized0As sample
Similitude judgment criteria between this block；During searching for the missing most like target sample block of texture sample block, traversal is each
The characteristic information of a sample block is matched one by one, the minimum as best match sample block A of deviation.
The similitude judgment criteria is：
Effective information B0That is the sampling point information of known textural characteristics in sample block B, target sample block A i.e. its all adopt
The characteristic information of sampling point is known；Similitude judgment criteria, that is, sample block B and effective information sampled point in target sample block
It is sequentially matched one by one, determining method arrow and curvature information deviation MatchcnOne group of minimum data.
Matchcn=t*Matchc+(1-t)*Matchn (3)
Wherein,WithThe song of s-th of sampled point Laplce's coordinate in difference representative sample block B and target sample block A
Rate component information；WithS-th of sampling in representative sample block B and target sample block A respectively
The component of curvature information of point Laplce's coordinate；Parameter t represents user-defined weight factor, unified value 0.5.
Step 4) feature migrates
Believe because the direction of normal on model different location feature vertex is different, therefore by best match sample block known features
Breath is moved in sample block during unknown message, is needed using the local frame established based on basal plane grid model vertex as medium
It is migrated, it is ensured that original attribute of feature to be repaired.
The specific practice of the step 4 is：
It is arrived because the direction of normal on model different location feature vertex is different, therefore by best match sample block A information transfers
Unknown message B in sample block B1In the process, it needs to be based on grid model MsThe local frame of foundation carries out feature for medium and moves
It moves, it is ensured that original attribute of feature to be repaired.
The local frame of the foundation is：
1. according to that need to establish local frame grid vertex and parameterize the relationship between source point method arrow, spin matrix is calculated
M；
2. a base vector n as local frame is sweared using the method that need to establish local frame grid vertex；
3. upper one of Selecting All Parameters source point tangent plane cuts arrow as benchmark, rotation transformation is carried out using M, obtains office
Another base vector e of portion's frame1；
4. by the base vector n and another base vector e of local frame grid vertex need to be established1Multiplication cross obtains secondary method arrow e2；
5. base vector n, e on current grid vertex1、e2Its local frame is respectively constituted；
6. repeat above operation the local frame that can obtain other vertex.
Carry out feature migration specific method be：
1. the feature of best match sample block is moved to sample block to be repaired, operation object is divided into the central network of sample block
Lattice vertex and sampled point；
2. the feature migration between grid vertex, can be by establishing respective local frame, then component carries out corresponding pass
It is assignment operation；
3. the feature migration in sample block between sampled point, can be as needed updated by the corresponding sequence of sampling,
Then interpolation obtains the texture feature information on patch Intranet lattice vertex to be repaired；
It 4., need to be into row information again for the sample block with the sample block there are overlapping region after current patch update to be repaired
Update migrates convenient for subsequent match and feature；
5. after the completion of characteristic matching, other patch texture information updates to be repaired can be completed by continuing to repeat above operation.
Step 5) spirally updates Porous Characteristic
After initial block of samples completes matching and feature migration, basal plane grid model foramen primum hole bounds are gradually reduced, shape
The sample block to be repaired of Cheng Xin, then carry out step 3 and 4 find fresh target sample block complete feature migration, and repeat step 3 and
4 so that area to be repaired information is also spirally updated with being similar to hole border inner, and until its information, all update is completed
Iteration obtains perforated feature and completes the basal plane grid model repaired.
The specific practice of the step 5 is：
After the initial block of samples on coverage hole boundary completes matching and feature migration, foramen primum hole closing of the frontier curve ranges by
It is tapered small, form new sample block to be repaired；Then it is repeated in carrying out Exemplar Matching and feature migration operation so as to be repaired
Multiple area information is also spirally updated with being similar to hole border inner, and until its information, all iteration is completed in update, is obtained
Perforated feature completes the basal plane grid model M repairedn。
Step 6) reconstruct target gridding
Because there is identical topological structure with basal plane grid model using model after the conventional filling-up hole for not considering texture information,
Therefore new Laplce's coordinate on each vertex of model after conventional filling-up hole is utilized, go out target gridding vertex by solving system of linear equations reverse
New cartesian coordinate is finally completed target gridding reconstruct.
The specific practice of the step 6 is：
Because of model M after conventional filling-up holeoWith basal plane grid model MsWith identical topological structure, therefore after utilizing conventional filling-up hole
Model MoLaplce's coordinate new after each apex feature update, goes out target by solving system of linear equations reverse in former perforated
The new cartesian coordinate in vertex on grid is finally completed target gridding reconstruct Mt。
Embodiment 1
Demonstration citing is hereafter carried out to above-mentioned step by specific example：
Step 1, preprocessing process.
Specifically, the model M containing hole (as shown in Figure 2) that input is textured, using the routine side for not considering texture information
Method carries out filling-up hole to model and handles to obtain model Mo(as shown in Figure 3), then to MoFairing is carried out to operate to obtain basal plane grid model
MS(as shown in Figure 4) refers again to the motion vector that multiresolution thought isolates characterization minutia information.
Step 2, basal plane Grid Sampling.
Specifically, to basal plane grid model MSParameterized treatment is carried out, by having completed grid DEM algorithms around opposite vertexes
Vertex relevant information weighted average after parametrization obtains the geodetic vector of each apex and coordinate substrate successively, then real
Existing improved dispersion index mapping parameters method obtains parametrization two dimensional surface P, each vertex sample block is carried out in P and is adopted
Sample, specifies the range size of single sampling block, and calculates the characteristic information that single sampled point contains.
When sample block samples, the average side length L of initial voids model M is obtained respectively first0, it is each on grid in parameter field P
The UV coordinates of a apex, secondly using vertex as the center position in sample block region, sampled point with spiral array rule sequentially
Arrangement, whole square distribution, finally, using Laplce's coordinate information on gore on piece vertex where sampled point,
Interpolation calculation goes out the textural characteristics relevant informations such as Laplce's coordinate, curvature and the method arrow of each sampled point, repeats above-mentioned behaviour
Sampling process can be completed.
Step 3, Exemplar Matching.
Specifically, covering the sample block B (as shown in Figure 5) of texture information to be repaired for sample range, its portion can be utilized
Divide effective information B0As similitude judgment criteria between sample block；In search and the missing most like target sample of texture sample block
During block, the characteristic information for traversing each sample block is matched one by one, the minimum as best match sample block of deviation
A。
Step 4, feature migrates.
It is arrived because the direction of normal on model different location feature vertex is different, therefore by best match sample block A information transfers
Unknown message B in sample block B1In the process, it needs to be based on grid model MsThe local frame of foundation carries out feature migration for medium
(as shown in Figure 6), it is ensured that original attribute of feature to be repaired.
Step 5, Porous Characteristic is spirally updated.
After the initial block of samples on coverage hole boundary completes matching and feature migration, foramen primum hole closing of the frontier curve ranges by
It is tapered small, form new sample block to be repaired；Then it is repeated in carrying out Exemplar Matching and feature migration operation so as to be repaired
Multiple area information also spirally updates (as shown in Figure 7) to be similar to hole border inner, until its information has all updated
Into iteration, obtain perforated feature and complete the basal plane grid model M repairedn(as shown in Figure 8).
Step 6, target gridding is reconstructed.
Because of model M after conventional filling-up holeoWith basal plane grid model MsWith identical topological structure, therefore after utilizing conventional filling-up hole
Model MoLaplce's coordinate new after each apex feature update, goes out target by solving system of linear equations reverse in former perforated
The new cartesian coordinate in vertex on grid is finally completed target gridding reconstruct Mt(as shown in Figure 9).
Fig. 2, Fig. 3, Fig. 4, Fig. 8, Fig. 9 are embodiment of the present invention：Fig. 2 is textured grid model of the input containing hole,
The STL models include 27321 vertex and 53615 tri patch altogether；Fig. 3 is using the conventional method for not considering texture information
Model after filling-up hole, Fig. 4 are embodiment basal plane grid models of the present invention, and Fig. 8 is that embodiment Fig. 7 of the present invention completes feature update
Basal plane grid model afterwards, the STL models include 33109 vertex and 65457 tri patch；Implement the model of the present invention
After filling-up hole method, obtained texture model is as shown in figure 9, comprising 33109 vertex and 65457 tri patch, whole process
It is automatically performed.
The foregoing is merely present pre-ferred embodiments, therefore the technical scope of the present invention cannot be limited according to this, therefore Fan Yiben
The equivalent changes and modifications that the technical spirit and description of invention are made, in the range of should all belonging to technical solution of the present invention.
Claims (15)
1. a kind of model method for repairing and mending based on textures synthesis, it is characterised in that：Its flow includes following steps：
Step 1) pre-processes；
Textured model M containing hole is inputted, carrying out filling-up hole to model using the conventional method for not considering texture information is handled
To model Mo, then to MoFairing is carried out to operate to obtain basal plane grid model MS, refer again to multiresolution thought and isolate characterization carefully
Save the motion vector of characteristic information；
Step 2) basal plane Grid Sampling；
To basal plane grid model MSParameterized treatment is carried out, obtains two dimensional surface P, each vertex sample block sampling is carried out in P,
The range size of specified single sample block, and calculate the characteristic information that single sampled point contains；
Step 3) Exemplar Matching；
For the sample block B of sample range covering area to be repaired, its part effective information B is utilized0As similar between sample block
Spend measurement standard；In the target search region similar to missing texture, each vertex subsamples block is matched one by one,
Obtain best match sample block A；
Step 4) feature migrates；
Because the direction of normal on different location feature vertex on model is different, therefore by best match sample block A information transfers to sample
Unknown message B in this block B1In the process, it needs to be based on grid model MsThe local frame of foundation is migrated for medium, is ensured
Original attribute of feature to be repaired；
Step 5) spirally updates Porous Characteristic；
After sample block B completes matching and feature migration, basal plane grid model MsForamen primum hole bounds are gradually reduced, and are formed new
Sample block B ' to be repaired；Then repeat step 3 and step 4 finds fresh target sample block A ' and completes feature migration；Continue
Repeat step 3 and step 4 so that area to be repaired information is also spirally updated to be similar to hole border inner, directly
To its information, all update completion iteration obtains Mn；
Step 6) reconstructs target gridding.
Because of model MoWith MsWith identical topological structure, therefore utilize model MoThe new Laplce on former perforated Nei Ge vertex
Coordinate by solving the new cartesian coordinate in system of linear equations reverse target gridding vertex, is finally completed target gridding reconstruct Mt。
2. the model method for repairing and mending according to claim 1 based on textures synthesis, which is characterized in that the step 1 is specific
Including：
A textured triangle grid model containing hole is inputted, model surface hole is simply connected closing, and hole part has
Geometric error modeling lacks；Conventional method filling-up hole of texture information is not considered it, and carries out fairing processing, utilizes multiresolution
Technology isolates characteristic displacement vector.
3. the model method for repairing and mending according to claim 2 based on textures synthesis, which is characterized in that the conventional method is mended
Hole method is：
The textured triangle grid model M of the cap holes containing simply connected is inputted, by identifying hole boundary feature, searching to be repaiied
The region of benefit；Delaunay Triangulation is carried out to repairing area boundary curve dimensionality reduction, and to the closed area, with entire grid
Average side length is that reference judges whether to need to be inserted into newly-increased point, and carry out mesh refinement according to the round characteristic of sky and side displacement principle,
Meet condition of the newly-increased mesh-density not less than the density of periphery grid, and avoid generating long-narrow triangular mesh as far as possible；Solve line
Property equation group carry out Mesh Fusion after, obtain missing textural characteristics model Mo。
4. the model method for repairing and mending according to claim 2 based on textures synthesis, which is characterized in that the fairing processing
Method is：
To isolate the motion vector of characterization minutia information, need, by attribute feature is accumulate in grid vertex, to use
Taubin fairing obtains the basal plane grid model M without any texture feature informationS, and there is no on any textural characteristics grid
It is approximately zero that each apex Laplce, which sits target value,.
5. the model method for repairing and mending according to claim 2 based on textures synthesis, which is characterized in that described to be differentiated using more
The method that rate technology isolates characteristic displacement vector is：
High frequency detail feature from the grid model with textural characteristics is separated, will contain line using multi-level technique
The Laplce's coordinate and Laplce's coordinate without textural characteristics grid for managing feature grid do difference operation；Because of model MoAnd MS
I-th of vertex viThe topological structure at place is identical, that is, the motion vector of characterization grain details geometric properties information separated.
6. the model method for repairing and mending according to claim 1 based on textures synthesis, which is characterized in that the step 2 includes：
Parameterized treatment is carried out to basal plane grid model, each vertex sample block sampling, adjustment ginseng are carried out in parametrization plane
The range size of the determining single sample block of number, and calculate the characteristic information that single sampled point contains.
7. the model method for repairing and mending according to claim 6 based on textures synthesis, which is characterized in that described to basal plane grid
Model carry out parameterized treatment method be：
It is after each vertex parameter the result is that according on shortest path in dijkstra's algorithm in mesh parameterization DEM algorithms
Previous neighborhood point carries out what diffusive transport obtained；It is flat by the relevant information weighting that parametrization vertex has been completed around opposite vertexes
, the geodetic vector of each apex and coordinate substrate are obtained successively, then realize improved dispersion index mapping parameters side
Method obtains parametrization two dimensional surface P.
8. the model method for repairing and mending according to claim 6 based on textures synthesis, which is characterized in that the sample block sampling
Method includes：
1. the average side length L of initial voids model M is obtained respectively0, in parameter field P on grid each apex UV coordinates；
2. single sample block, using vertex as the center position of sampling area, sampled point is in integrally with spiral array aligned transfer
Square profile, and sampling point distributions not necessarily overlap on grid with grid vertex；
3. set SnFor the dimension of sample block square area sampled point array, SlThe either vertically or horizontally direction between sampled point
Unit distance, it is necessary to meet SnFor odd number, SlNo more than L0；
4. single sample block square area culminating point considers that the sample block centered on current vertex must not as sampled point
The textural characteristics that palpus covering signal period feature or area to be repaired are lacked, sampled point have according to the form of spiral array
Rule is stored；
5. by Laplce's coordinate information on gore on piece vertex where sampled point, interpolation calculation goes out the drawing of the sampled point
The textural characteristics relevant informations such as this coordinate of pula, curvature and method arrow；
6. calculating all sampling point informations of single sample block, after repeating 5., stored as a separate unit,
5. and 6. 7. traversing all vertex on grid, repeat, to match for subsequent characteristics and important evidence is provided.
9. the model method for repairing and mending according to claim 1 based on textures synthesis, which is characterized in that the step 3 includes：
The sample block B of texture information to be repaired is covered for sample range, its part effective information B can be utilized0As sample block it
Between similitude judgment criteria；During searching for the missing most like target sample block of texture sample block, each sample is traversed
Block is matched one by one, the minimum as best match sample block A of deviation.
10. the model method for repairing and mending according to claim 9 based on textures synthesis, which is characterized in that the similitude is commented
Sentencing standard is：
Effective information B0That is the sampling point information of known textural characteristics in sample block B, its i.e. all sampled point of target sample block
Characteristic information is known；In similitude judgment criteria, that is, sample block B and target sample block effective information sampled point sequentially into
Row matches one by one, one group of data of determining method arrow and curvature information deviation minimum.
11. the model method for repairing and mending according to claim 1 based on textures synthesis, which is characterized in that the step 4 is wrapped
It includes：
Because the direction of normal on different location feature vertex on model is different, therefore by best match sample block A information transfers to sample
Unknown message B in this block B1In the process, it needs to be based on grid model MsThe local frame of foundation carries out feature migration for medium,
It can ensure original attribute of feature to be repaired.
12. the model method for repairing and mending according to claim 11 based on textures synthesis, which is characterized in that the office of the foundation
Portion's frame is：
1. according to that need to establish local frame grid vertex and parameterize the relationship between source point method arrow, spin matrix M is calculated；
2. a base vector n as local frame is sweared using the method that need to establish local frame grid vertex；
3. upper one of Selecting All Parameters source point tangent plane cuts arrow as benchmark, rotation transformation is carried out using M, obtains local mark
Another base vector e of frame1；
4. by the base vector n and another base vector e of local frame grid vertex need to be established1Multiplication cross obtains secondary method arrow e2；
5. base vector n, e on current grid vertex1、e2Its local frame is respectively constituted；
6. repeat above operation the local frame that can obtain other vertex.
13. the model method for repairing and mending according to claim 11 based on textures synthesis, which is characterized in that the feature migration
Including：
1. the feature of best match sample block is moved to sample block to be repaired, operation object is divided into the central gridding top of sample block
Point and sampled point；
2. the feature migration between grid vertex, can be by establishing respective local frame, then component carries out correspondence tax
Value Operations；
3. the feature migration in sample block between sampled point, can be as needed updated, then by the corresponding sequence of sampling
Interpolation obtains the texture feature information on patch Intranet lattice vertex to be repaired；
4. after current patch update to be repaired, for the sample block with the sample block there are overlapping region, need to again be updated into row information,
It is migrated convenient for subsequent match and feature；
5. after the completion of characteristic matching, other patch texture information updates to be repaired can be completed by continuing to repeat above operation.
14. the model method for repairing and mending according to claim 1 based on textures synthesis, which is characterized in that the step 5 is specific
For：After the initial block of samples on coverage hole boundary completes matching and feature migration, closing of the frontier curve ranges in foramen primum hole gradually contract
It is small, form new sample block to be repaired；Then it is repeated in carrying out Exemplar Matching and feature migration operation so that area to be repaired
Domain information is also spirally updated with being similar to hole border inner, and until its information, all update completion iteration obtains grid mould
Type Mn。
15. the model method for repairing and mending according to claim 1 based on textures synthesis, which is characterized in that the step 6 is specific
For：Because of model MoWith MsTopological structure is identical, therefore utilizes MoLaplce new after each apex feature update sits in former perforated
Mark by solving the new cartesian coordinate in vertex on system of linear equations reverse target gridding, is finally completed target gridding reconstruct Mt。
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