CN105046735A - Three-dimensional surface texture synthesis method based on primitive element distribution - Google Patents

Three-dimensional surface texture synthesis method based on primitive element distribution Download PDF

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CN105046735A
CN105046735A CN201510408262.6A CN201510408262A CN105046735A CN 105046735 A CN105046735 A CN 105046735A CN 201510408262 A CN201510408262 A CN 201510408262A CN 105046735 A CN105046735 A CN 105046735A
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texture
element distribution
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CN105046735B (en
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桂彦
张建明
李峰
黄峻
刘杨
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Changsha University of Science and Technology
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Abstract

The invention relates to a three-dimensional surface texture synthesis method based on primitive element distribution. The method comprises the following steps: extracting a primitive element; constructing a primitive element connecting relation; generating a three-dimensional model surface vector field; constructing three-dimensional model surface primitive element distribution; and disposing the primitive element on the surface of the three-dimensional model. According to the invention, effectively texture mapping can be realized under the condition of local parameterization of the three-dimensional model, and a lot of neighborhood matching search of sample texture during the synthesis process is avoided. Thus, high-efficiency texture synthesis can be carried out on the three-dimensional surface. In addition, completeness of the primitive element and continuity and regularity of the texture structure in the synthesis result can be effectively maintained, and then a high-quality three-dimensional surface texture synthesis result is obtained.

Description

A kind of three-dimensional surface texture synthesis method based on Primitive Element Distribution
Technical field
The present invention relates to three-dimensional surface texture synthesis method, particularly relate to a kind of three-dimensional surface texture synthesis method based on Primitive Element Distribution.
Background technology
In computer graphics, three-dimensional surface textures synthesis directly generates the textured pattern similar to sample texture on three-dimensional surface, and its Main Function is for three-dimensional model adds surface details, thus strengthens the sense of reality of model surface.So not only can make up the deficiency that geometry is drawn, greatly can also simplify the process of modeling.Have a large amount of texel repeated in texture, the texel of repetition is texture primitive.
At present, the most direct mode of one of carrying out textures synthesis at three-dimensional surface is: first need the texture image that acquisition size is enough large, namely by adopt 2 d texture synthetic technology automatically generate one there is arbitrary dimension and with sample texture, there is the new texture image of similar appearance, and then map directly to three-dimensional surface.But this process need carries out global parameterized to model, but also the situation of texture distortion may be produced, thus greatly can affect the effect of three-dimensional surface textures synthesis.Another kind of processing mode is: directly on three-dimensional surface, synthesize new texture according to sample texture, makes it possible to the texture distortion that produces when avoiding directly mapping or discontinuous problem.This three-dimensional surface textures synthesis mode can obtain good textures synthesis effect usually, but needs to search for coupling in a large number to sample texture in building-up process, therefore combined coefficient is lower.
Method (the DischlerM.J. that the people such as Dichler propose, MaritaudK., LevyB., etal.TextureParticles.ComputerGraphicsForum, 2002, first the texel that sample texture is divided into some basic 21:401-410), then analyze the space distribution of these elements in sample texture, and be distributed in three-dimensional surface rearranges these elements generate final result according to this.The method speed is very fast, can be controlled by user interactions to building-up process, and can also be used to synthesis three-dimensional geometry element.But the method does not consider the spatial neighborhood relations between dissimilar texel usually, and do not consider that its position, shape are on the impact of textures synthesis when recombinating texel.Thus, after three-dimensional surface restructuring texel, in the result of synthesis, easily produce the overlapping or comparatively flaw such as macroscopic-void in region, and the regularity that input amendment texture cannot be kept potential.
The grain design of recombinating based on primitive and synthetic method provide a kind of approximate rule texture synthesis method: from given sample texture image, carry out a primitive extraction, will no longer need the participation of sample texture afterwards in grain design and building-up process; The generation of texture is that the mode having extracted primitive and distortion primitive according to the restructuring of certain generate pattern obtains new texture.The method can solve the problem needing sample for reference texture in textures synthesis process well, and by the processing mode that user is controlled, this makes the Output rusults synthesized can be diversified.But this technical scheme only can realize the synthesis of 2 d texture, if by the texture of synthesis to three-dimensional model surface, then need to carry out global parameterized to three-dimensional model, the quality of model parameterization effect then directly affects the effect of final texture mapping.In addition, if realize three-dimensional surface textures synthesis by this technical scheme of expansion, wherein maximum difficult point is how to compare two dimensional surface neighborhood and three-dimensional surface neighborhood.On the other hand, exhaustive search when carrying out neighborhood matching greatly can reduce the efficiency of textures synthesis.
In existing three-dimensional surface textures synthesis, particularly when three-dimensional surface process approximate rule texture, synthetic effect can not keep the integrality of texel well, thus produces fracture or discontinuous texture result.Existing three-dimensional surface synthetic technology carries out a large amount of neighborhood matching search to sample texture in building-up process, causes textures synthesis efficiency low.
Therefore, the how Primitive Element Distribution of sample for reference texture, on three-dimensional surface, directly synthesis has the new Primitive Element Distribution of similar appearance with the Primitive Element Distribution of sample texture and how can carry out effective texture when three-dimensional model localized parameterization, thus expeditiously, obtain high-quality three-dimensional surface textures synthesis result and become problem demanding prompt solution.
Summary of the invention
Technical matters to be solved by this invention is: texture structure distortion and the inefficient problem of textures synthesis in existing Future Opportunities of Texture Synthesis.
For solving the problems of the technologies described above, one aspect of the present invention proposes a kind of three-dimensional surface texture synthesis method based on Primitive Element Distribution, and the method comprises:
Extract primitive;
Build primitive connected relation;
Generating three-dimensional models surface vector field;
Build the distribution of three-dimensional model surface element;
Primitive is placed on three-dimensional model surface.
Preferably, the step of described extraction primitive comprises:
In conjunction with color characteristic and the textural characteristics definition similarity measure mechanism of sample texture, to detect the primitive that in sample texture, all outward appearances are similar exactly;
The repeat element extracting method that employing cuts model based on the optimization figure that outward appearance is similar is split sample texture, thus extracts the primitive of sample texture simultaneously.
Preferably, the step of described structure primitive connected relation comprises:
Determine the position of each primitive in sample texture, build discrete point set with the center of each primitive region;
According to described discrete point set, triangulation methodology is adopted to build the connected relation of primitive, to obtain the Primitive Element Distribution of sample texture.
Preferably, the leg-of-mutton maximum interior angle produced in described triangulation process is less than 120 degree.
Preferably, the step of described generating three-dimensional models surface vector field comprises:
Several tri patchs of random selecting in the three-dimensional model, cut direction vector at selected tri patch mark;
Cut direction vector according to described mark, what adopt Interpolation Property of Radial Basis Function algorithm to calculate remaining triangle dough sheet in described three-dimensional model cuts direction vector, with generating three-dimensional models surface vector field.
Preferably, the step of described structure three-dimensional model surface element distribution comprises:
S41, choose the first primitive on three-dimensional model surface, adopt the mode of projective transformation to project on base plane by the neighborhood of described first primitive in three-dimensional model surface, distribute to produce the two-dimensional space corresponding with the Primitive Element Distribution on three-dimensional surface;
The Primitive Element Distribution of S42, sample for reference texture, neighborhood comparative approach is adopted to obtain the positional information relative to the first primitive of three-dimensional model primitive to be added on the surface, according to the positional information relative to the first primitive of described primitive to be added, calculate the position of described primitive to be added on three-dimensional model surface;
S43, repetition step S41 and S42, calculate the position of primitive to be added on three-dimensional model surface, one by one to have the new Primitive Element Distribution of similar appearance at three-dimensional model Surface Creation and sample texture Primitive Element Distribution;
The angle, offset direction and the offset distance that comprise primitive to be added relative to the positional information of the first primitive of described primitive to be added;
Described base plane is the tri patch at described first primitive place.
Preferably, described neighborhood comparative approach comprises:
The first primitive is chosen on three-dimensional model surface, the neighborhood of the neighborhood after the projective transformation of described first primitive and sample texture Primitive Element Distribution is compared one by one, neighborhood after the projective transformation of described first primitive and the neighborhood error of sample texture Primitive Element Distribution minimum time, determine to have with described first primitive in sample texture Primitive Element Distribution most similar neighborhood with reference to primitive, set up the corresponding relation between each primitive in the neighborhood of each primitive and sample texture Primitive Element Distribution in the neighborhood after the projective transformation of described first primitive, obtain the positional information relative to the first primitive of primitive to be added.
Preferably, when three-dimensional model surface element number reach specify number time, then stop building the distribution of three-dimensional model surface element.
Preferably, described step of placing primitive on three-dimensional model surface comprises:
Regional area growing method is adopted to determine and the target area that the size of primitive to be added adapts on three-dimensional model surface;
Localized parameterization flattening is carried out to target area, adopts local grain to map on three-dimensional model surface and place primitive.
Preferably, described after three-dimensional model surface adopts local grain mapping placement primitive, also comprise:
Zoom in or out the primitive mapping to three-dimensional model surface, to avoid cavity between primitive or overlap.
The three-dimensional surface texture synthesis method based on Primitive Element Distribution that the present invention proposes, the Primitive Element Distribution of sample for reference texture, on three-dimensional surface, synthesis and sample texture have the Primitive Element Distribution of certain similar appearance, thus realize the object of directly carrying out textures synthesis at model surface, effectively the integrality of primitive, the continuity Sum fanction of texture result can be kept in synthesis result, well at the texture of three-dimensional surface process approximate rule, can obtain high-quality three-dimensional surface textures synthesis result.Can effective texture be carried out when three-dimensional model localized parameterization, avoid, in building-up process, a large amount of neighborhood matching search is carried out to sample texture, thus obtain three-dimensional surface textures synthesis result expeditiously.
Accompanying drawing explanation
Can understanding the features and advantages of the present invention clearly by reference to accompanying drawing, accompanying drawing is schematic and should not be construed as and carry out any restriction to the present invention, in the accompanying drawings:
Fig. 1 shows the principle framework figure of one embodiment of the invention;
Fig. 2 shows the given sample texture of one embodiment of the invention;
The result that the primitive that Fig. 3 shows one embodiment of the invention extracts and primitive connected relation build result;
The result figure that the three-dimensional surface vector field that Fig. 4 shows one embodiment of the invention generates;
Fig. 5 shows the neighborhood comparison procedure schematic diagram of one embodiment of the invention;
Fig. 6 shows the three-dimensional model surface primitive position view to be added of one embodiment of the invention;
Fig. 7 shows the result of the structure three-dimensional model surface element distribution of one embodiment of the invention;
Fig. 8 shows the three-dimensional surface textures synthesis result based on Primitive Element Distribution of one embodiment of the invention.
Embodiment
Below in conjunction with accompanying drawing, embodiments of the present invention is described in detail.
Fig. 1 shows the principle framework figure of one embodiment of the invention.As shown in Figure 1, should comprise the following steps based on the three-dimensional surface texture synthesis method of Primitive Element Distribution:
The first step: extract primitive
Time initial, user only in marker samples texture image (as shown in Figure 2) one to two colors significantly and the complete primitives of shape as prospect, and same mark and colouring discrimination significant background area comparatively close with foreground location is as a setting, before marking like this, background area can effectively avoid before, background color causes when being similar and splits undesirable situation.In addition, due to the more and arrangement of primitive in sample texture image closely, thus grain background region is usually comparatively narrow and small, therefore, needs user mark prospect and background area in sample texture image more meticulously.
When extracting primitive, first to sample texture Image semantic classification, adopt average drifting MS (MeanShift) color cluster method that sample texture image primary segmentation is become separate image subblock.The pre-service of sample texture image is greatly reduced to the calculated amount in image segmentation process, thus effectively improve the time efficiency of texel extraction.
Then the textural characteristics of gal cypress wavelet transformation GWT (GaborWaveletTransform) analyzing samples texture image on multiple dimensioned and multi-direction is adopted, and the textural characteristics of statistics is combined with color characteristic, to define the outward appearance similarity measurement formula of robust.Can be figure G={P, N} by sample texture picture construction, wherein P be that the image subblock split replaces pixel as the point set of figure interior joint; N is the set on the limit connected between image subblock, comprise and directly connect limit between adjacent image sub-block and connection and have limit (not necessarily direct neighbor) between outward appearance similar features image subblock, in figure G, each node is all connected with source endpoint S and end point T-phase.
Finally adopting the repeat element extracting method cutting model based on the optimization figure that outward appearance is similar to split sample texture, only when providing a small amount of user interactions, extracting the primitive of sample texture image.The primitive extracted is as shown in accompanying drawing 3 the first row.
Second step: build primitive connected relation
In the sample texture of location after all primitives, the space distribution (or space arrangement) of Water demand primitive.
Be adjacent spatial neighborhood relations between primitive to build each primitive, first replace each primitive with the center of primitive region, these positions form a discrete point set.
According to described discrete point set, employing triangulation DT (Delaunaytriangulation) method can set up the connected relation between primitive.
In addition, produce inclined side to avoid in the connected relation built, then the angle retraining each the leg-of-mutton maximum interior angle produced in triangulation process must be less than 120 degree.When the distribution of primitive be regular distribution or approximate rule distribution time, even if constraint condition is satisfied, triangulation may build undesirable primitive connected relation.Now, between the primitive of structure, connected relation cannot keep the potential rule of Primitive Element Distribution.In order to address this problem, before the connected relation using triangulation structure primitive, first ambiguous three arms of angle (being greater than the limit that the angle of 120 degree is corresponding in triangle) may be caused to be marked, for stoping the generation on these limits in triangulation process, the connected relation between desirable primitive then automatically can be built.
Between the primitive that the embodiment of the present invention has built, connected relation is as shown in accompanying drawing 3 second row.
3rd step: generating three-dimensional models surface vector field
Most of texture all has directivity characteristics, thus controls the direction of synthesizing texture by the vector field on generation model surface.
Time initial, allow user's random selecting on three-dimensional surface multiple tri patch, and on tri patch selected by these, mutual terrestrial reference note cuts direction vector, now, the normal vector of butt to vector normal in place tri patch.
Then, known direction vector is cut according to these, by adopting radial basis function RBF (RadialBasisFunction) interpolation algorithm to calculate on three-dimensional surface remaining triangle dough sheet cuts direction vector, thus obtain the tangent vector field of three-dimensional surface.
In order to obtain high-precision interpolation result, need on the diverse location on three-dimensional surface, the surface that particularly curvature is large, carries out choosing of tri patch at random, and requires that the quantity of selected tri patch can make the interpolation precision of the final tangent vector field obtained meet consumers' demand.Therefore, user chooses different dough sheet numbers by according to different three-dimensional models, to ensure the interpolation precision of vector field.The three-dimensional surface vector field generated as shown in Figure 4.
4th step: build the distribution of three-dimensional model surface element
Because the neighbouring relations between three-dimensional surface primitive and primitive are three-dimensional, and the sample texture Primitive Element Distribution of reference is two-dimentional.Therefore, before neighborhood relatively, need the Primitive Element Distribution of three-dimensional surface to be mapped on two dimensional surface.Be specially:
The first primitive is chosen on three-dimensional model surface, the mode of projective transformation is adopted to project on base plane (described base plane is described first primitive place tri patch) by the Primitive Element Distribution that described first primitive neighborhood has been synthesized on three-dimensional model surface, to produce the two-dimensional space distribution corresponding with the Primitive Element Distribution that three-dimensional surface has synthesized.At three-dimensional model on the surface, because in the first primitive neighborhood, the distance of each primitive and the first primitive is very little, and the normal direction difference of each primitive place tri patch and base plane is also very little, and thus the directivity of Primitive Element Distribution is by the impact not by projective transformation.
The Primitive Element Distribution of sample for reference texture, neighborhood comparative approach is adopted to obtain the positional information relative to the first primitive of three-dimensional model primitive to be added on the surface, according to the positional information relative to the first primitive of described primitive to be added, calculate the position of described primitive to be added on three-dimensional model surface, by carrying out the differentially expanding of the position of primitive to be added on three-dimensional model surface, namely the position of primitive to be added on three-dimensional model surface is calculated one by one, to have the new Primitive Element Distribution of similar appearance at three-dimensional model Surface Creation and sample texture Primitive Element Distribution.Specifically:
At three-dimensional model on the surface in order to generate the new Primitive Element Distribution with the Primitive Element Distribution of sample texture with certain similar appearance, according to selected first primitive e current on three-dimensional surface tarand neighborhood ω (e tar), employing neighborhood comparative approach finds the best of mating with the first primitive with reference to primitive e from the Primitive Element Distribution of sample texture ref, now, the neighborhood ω (e of the first primitive tar) with reference to the neighborhood ω (e of primitive ref) difference is in appearance minimum.Neighborhood comparison procedure as shown in Figure 5.By the neighborhood ω ' (e by the first primitive after projection tar) one by one with the neighborhood ω (e of sample Primitive Element Distribution ref) compare, when error gets minimum value, can determine in sample Primitive Element Distribution and the first primitive e tarhave most similar neighborhood with reference to primitive e ref, and obtain Optimum Matching f best.By setting up neighborhood ω ' (e tar) and neighborhood ω (e ref) in one-to-one relationship between each primitive, three-dimensional surface primitive to be added can be obtained the positional information relative to the first primitive, namely relative to the angle, offset direction of the first primitive and offset distance
Using the positional information relative to the first primitive of primitive to be added as the foundation at model surface primitive differentially expanding, with as primitive to be added relative to the first primitive e tarbetween offset distance; And then for determining primitive to be added relative first primitive e tarangle, offset direction.Thus, with the first primitive e tarposition P 0for the centre of sphere, primitive to be added with the first primitive e tarbetween space length for radius does a ball O (as shown in Figure 6).Then, by and P 0obtain and base plane S 0vertical planar S θ.Finally, any surface sheet S on three-dimensional model is got tif, planar S t, S θintersect at a P with ball O, intersection point P is primitive to be added position P k, primitive to be added can be determined on three-dimensional surface position.
By carrying out neighborhood and compare and primitive expansion, when three-dimensional model surface element number reaches the maximum number that user specifies, or when three-dimensional surface primitive is too intensive, then stop building the distribution of three-dimensional model surface element.The Primitive Element Distribution of the three-dimensional surface of final acquisition as shown in Figure 7.
5th step: place primitive on three-dimensional model surface
At three-dimensional model on the surface, the object that primitive is placed is mapped to by the primitive extracted on primitive position that three-dimensional surface generated, thus finally obtain three-dimensional surface textures synthesis result.
First, adopt regional area growing method to determine and the target area that the size of primitive to be added adapts on three-dimensional model surface, this is mainly because the primitive extracted concentrates each primitive to have different scale size.Be initial dough sheet with the tri patch at the first primitive place, along the tri patch that three limits search of initial dough sheet are adjacent with initial dough sheet, and progressively to external diffusion to obtain regional area.In addition, when regional area Triangle ID dough sheet sum exceeds the maximum dough sheet sum that user specifies, or when regional area area exceedes primitive area to be mapped, then stop tri patch to external diffusion, now obtain regional area and be target area.Thus, carry out regional area growth according to primitive size, the target area determined is continuous print, can not forming region breach.Meanwhile, the large I of target area controls according to the size of primitive adaptively.
Then, localized parameterization flattening is carried out to target area, adopt local grain to map on three-dimensional model surface and place primitive, determine the corresponding relation of each point in each summit of tri patch and texture coordinate.
In addition, because the shape of primitive and size are not on all four, when mapping primitive seriatim to model surface, between primitive, cavity or overlapping region may be produced.By the primitive mapping to model surface is zoomed in or out adaptively, to solve the problem producing cavity or overlapping region between primitive.Thus, the placement in three-dimensional model surface element is completed.Three-dimensional surface textures synthesis result as shown in Figure 8.
The three-dimensional surface texture synthesis method based on Primitive Element Distribution that the embodiment of the present invention proposes, the Primitive Element Distribution of sample for reference texture, on three-dimensional surface, synthesis and sample texture have the Primitive Element Distribution of certain similar appearance, thus realize the object of directly carrying out textures synthesis at model surface, effectively the integrality of primitive, the continuity Sum fanction of texture result can be kept in synthesis result, well at the texture of three-dimensional surface process approximate rule, can obtain high-quality three-dimensional surface textures synthesis result.Can effective texture be carried out when three-dimensional model localized parameterization, avoid, in building-up process, a large amount of neighborhood matching search is carried out to sample texture, thus obtain three-dimensional surface textures synthesis result expeditiously.
Although describe embodiments of the present invention by reference to the accompanying drawings, but those skilled in the art can make various modifications and variations without departing from the spirit and scope of the present invention, such amendment and modification all fall into by within claims limited range.

Claims (10)

1., based on a three-dimensional surface texture synthesis method for Primitive Element Distribution, it is characterized in that, comprise the following steps:
Extract primitive;
Build primitive connected relation;
Generating three-dimensional models surface vector field;
Build the distribution of three-dimensional model surface element;
Primitive is placed on three-dimensional model surface.
2. the three-dimensional surface texture synthesis method based on Primitive Element Distribution according to claim 1, is characterized in that, the step of described extraction primitive comprises:
In conjunction with color characteristic and the textural characteristics definition similarity measure mechanism of sample texture, to detect the primitive that in sample texture, all outward appearances are similar exactly;
The repeat element extracting method that employing cuts model based on the optimization figure that outward appearance is similar is split sample texture, thus extracts the primitive of sample texture simultaneously.
3. the three-dimensional surface texture synthesis method based on Primitive Element Distribution according to claim 1, is characterized in that, the step of described structure primitive connected relation comprises:
Determine the position of each primitive in sample texture, build discrete point set with the center of each primitive region;
According to described discrete point set, triangulation methodology is adopted to build the connected relation of primitive, to obtain the Primitive Element Distribution of sample texture.
4. the three-dimensional surface texture synthesis method based on Primitive Element Distribution according to claim 3, is characterized in that, the leg-of-mutton maximum interior angle produced in described triangulation process is less than 120 degree.
5. the three-dimensional surface texture synthesis method based on Primitive Element Distribution according to claim 1, is characterized in that, the step of described generating three-dimensional models surface vector field comprises:
Several tri patchs of random selecting in the three-dimensional model, cut direction vector at selected tri patch mark;
Cut direction vector according to described mark, what adopt Interpolation Property of Radial Basis Function algorithm to calculate remaining triangle dough sheet in described three-dimensional model cuts direction vector, with generating three-dimensional models surface vector field.
6. the three-dimensional surface texture synthesis method based on Primitive Element Distribution according to claim 1, is characterized in that, the step of described structure three-dimensional model surface element distribution comprises:
S41, choose the first primitive on three-dimensional model surface, adopt the mode of projective transformation to project on base plane by the neighborhood of described first primitive in three-dimensional model surface, distribute to produce the two-dimensional space corresponding with the Primitive Element Distribution on three-dimensional surface;
The Primitive Element Distribution of S42, sample for reference texture, neighborhood comparative approach is adopted to obtain the positional information relative to the first primitive of three-dimensional model primitive to be added on the surface, according to the positional information relative to the first primitive of described primitive to be added, calculate the position of described primitive to be added on three-dimensional model surface;
S43, repetition step S41 and S42, calculate the position of primitive to be added on three-dimensional model surface, one by one to have the new Primitive Element Distribution of similar appearance at three-dimensional model Surface Creation and sample texture Primitive Element Distribution;
The angle, offset direction and the offset distance that comprise primitive to be added relative to the positional information of the first primitive of described primitive to be added;
Described base plane is the tri patch at described first primitive place.
7. the three-dimensional surface texture synthesis method based on Primitive Element Distribution according to claim 6, is characterized in that, described neighborhood comparative approach comprises:
The first primitive is chosen on three-dimensional model surface, the neighborhood of the neighborhood after the projective transformation of described first primitive and sample texture Primitive Element Distribution is compared one by one, neighborhood after the projective transformation of described first primitive and the neighborhood error of sample texture Primitive Element Distribution minimum time, determine to have with described first primitive in sample texture Primitive Element Distribution most similar neighborhood with reference to primitive, set up the corresponding relation between each primitive in the neighborhood of each primitive and sample texture Primitive Element Distribution in the neighborhood after the projective transformation of described first primitive, obtain the positional information relative to the first primitive of primitive to be added.
8. the three-dimensional surface texture synthesis method based on Primitive Element Distribution according to claim 6, is characterized in that, when three-dimensional model surface element number reach specify number time, then stop building the distribution of three-dimensional model surface element.
9. the three-dimensional surface texture synthesis method based on Primitive Element Distribution according to claim 1, is characterized in that, described step of placing primitive on three-dimensional model surface comprises:
Regional area growing method is adopted to determine and the target area that the size of primitive to be added adapts on three-dimensional model surface;
Localized parameterization flattening is carried out to target area, adopts local grain to map on three-dimensional model surface and place primitive.
10. the three-dimensional surface texture synthesis method based on Primitive Element Distribution according to claim 9, is characterized in that, described after three-dimensional model surface adopts local grain mapping placement primitive, also comprises:
Zoom in or out the primitive mapping to three-dimensional model surface, to avoid cavity between primitive or overlap.
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