CN109624325A - A method of generating the tree-like support construction of 3D printing model - Google Patents
A method of generating the tree-like support construction of 3D printing model Download PDFInfo
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- CN109624325A CN109624325A CN201811558975.0A CN201811558975A CN109624325A CN 109624325 A CN109624325 A CN 109624325A CN 201811558975 A CN201811558975 A CN 201811558975A CN 109624325 A CN109624325 A CN 109624325A
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B29—WORKING OF PLASTICS; WORKING OF SUBSTANCES IN A PLASTIC STATE IN GENERAL
- B29C—SHAPING OR JOINING OF PLASTICS; SHAPING OF MATERIAL IN A PLASTIC STATE, NOT OTHERWISE PROVIDED FOR; AFTER-TREATMENT OF THE SHAPED PRODUCTS, e.g. REPAIRING
- B29C64/00—Additive manufacturing, i.e. manufacturing of three-dimensional [3D] objects by additive deposition, additive agglomeration or additive layering, e.g. by 3D printing, stereolithography or selective laser sintering
- B29C64/40—Structures for supporting 3D objects during manufacture and intended to be sacrificed after completion thereof
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B29—WORKING OF PLASTICS; WORKING OF SUBSTANCES IN A PLASTIC STATE IN GENERAL
- B29C—SHAPING OR JOINING OF PLASTICS; SHAPING OF MATERIAL IN A PLASTIC STATE, NOT OTHERWISE PROVIDED FOR; AFTER-TREATMENT OF THE SHAPED PRODUCTS, e.g. REPAIRING
- B29C64/00—Additive manufacturing, i.e. manufacturing of three-dimensional [3D] objects by additive deposition, additive agglomeration or additive layering, e.g. by 3D printing, stereolithography or selective laser sintering
- B29C64/30—Auxiliary operations or equipment
- B29C64/386—Data acquisition or data processing for additive manufacturing
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B33—ADDITIVE MANUFACTURING TECHNOLOGY
- B33Y—ADDITIVE MANUFACTURING, i.e. MANUFACTURING OF THREE-DIMENSIONAL [3-D] OBJECTS BY ADDITIVE DEPOSITION, ADDITIVE AGGLOMERATION OR ADDITIVE LAYERING, e.g. BY 3-D PRINTING, STEREOLITHOGRAPHY OR SELECTIVE LASER SINTERING
- B33Y40/00—Auxiliary operations or equipment, e.g. for material handling
-
- B—PERFORMING OPERATIONS; TRANSPORTING
- B33—ADDITIVE MANUFACTURING TECHNOLOGY
- B33Y—ADDITIVE MANUFACTURING, i.e. MANUFACTURING OF THREE-DIMENSIONAL [3-D] OBJECTS BY ADDITIVE DEPOSITION, ADDITIVE AGGLOMERATION OR ADDITIVE LAYERING, e.g. BY 3-D PRINTING, STEREOLITHOGRAPHY OR SELECTIVE LASER SINTERING
- B33Y50/00—Data acquisition or data processing for additive manufacturing
Abstract
The invention belongs to the technical fields of 3D printing, and disclose a kind of method of tree-like support construction for generating 3D printing model.This method includes the following steps: that S1 identifies the region to be supported of 3D model to be printed, and carries out grid dividing, obtains first layer support node;Supporting zone is divided into multiple subregions by S2, newly-generated supporting point is obtained using the calculation method based on local mass center, and according to the dendritic structure of the interference situation building support between the situation of new supporting point and new supporting point and model meshes, finally newly-generated supporting point is updated into support point set;It is sky that S3, which repeats step S2 until supporting point set, thus generates the tree-like support construction of stratification.Through the invention, it realizes and quickly and efficiently generates support construction, and guarantee to support branch that there is reasonable diameter, finally make support construction stability with higher.
Description
Technical field
The invention belongs to the technical fields of 3D printing, more particularly, to a kind of tree-like support for generating 3D printing model
The method of structure.
Background technique
In 3D printing field, not all model can be manufactured directly, such as with overhanging regions
Model, generally require model overhanging regions add support construction, so that it is guaranteed that model can be successfully printed.Otherwise,
The overhanging regions for not adding support can then collapse in print procedure, and deformation is so as to cause printing failure.Current branch
Support algorithm it is inefficient to a certain extent, and support structure type be not efficiently, therefore this patent propose it is a kind of high
The support generation algorithm of effect becomes important research direction in the processing of 3D printing software.
In 3D printing, the support algorithm of model will often be formed by following process: the identification process of supporting zone,
Supporting point sampling process and support construction generating process.What wherein the identification of overhanging regions was widely used is based on STL model
Tri patch sentence method for distinguishing, if the angle of the normal vector of tri patch and Z axis be greater than critical angle αmax, then this three
It is angular to be identified as triangle to be supported.This angle [alpha]maxReferred to as maximum tilt angle.The αmaxWith specific technique and printing
Material is related, therefore specific value can be obtained by experiment, and all adjacent triangle sets to be supported are at a complete branch
Support region, it is clear that a model may include multiple supporting zones.
Tree-like support construction is generated in all supporting points, notice guarantees that the branch length generated is most short.This is in 3D sky
Between middle generate tree-like support generation mode and can be described as being Euclid's Steiner minimum spanning tree problem (Euclidean
Steiner Minimal Tree problem, ESMT), having at least complexity of NP, the work of Most current is in 2D
Solution is provided in space.Toppur et al. gives in the minimum tree method of 3d space generation, but the complexity of this method
It is O (n2);Nearest Vanke et al. proposes a kind of clever tree-like support construction method, they use a kind of based on geometry
The supporting form of model reduces the use of backing material.On implementation, they use and find in the 3 d space most every time
Two close supporting points, and newly-generated point is calculated by Surface scan algorithm in its intersecting area, until all supporting points
All be disposed end, it is assumed that the quantity of supporting point is n, then the time complexity of the algorithm of Vanke is O (n2);MeshmixerTM software can also provide the structural support generation, but the method for supporting and underground, secondly
The formation efficiency of tree-like support is not high, secondly, the dendritic structure generated is distortion, and is isodiametric dendritic structure, this
Kind support construction can be optimized by using the dendritic structure of class truncated cone shape, so as to reduce making for backing material
With.Support generation algorithm plays an important role to the application of 3D printing software, firstly, the inefficient serious shadow of support algorithm
The customer experience of 3D printing software is rung, secondly, too fat to move support construction, then increase the print time of model entirety, and consumption
The increase of material cost, therefore, there is an urgent need to propose the support algorithm of one kind rapidly and efficiently to improve the high efficiency of 3D printing software
With it is applied.
Summary of the invention
Aiming at the above defects or improvement requirements of the prior art, the tree-like of 3D printing model is generated the present invention provides a kind of
The method of support construction, the present invention carry out layering and zoning processing by the supporting surface to 3D model to be printed, establish tree with this
Shape support construction obtains wherein every layer of supporting point is calculated by upper one layer of supporting point, and the shape of every layer of branch is in rotary table
Jitter phenomenon can be effectively relieved in shape, the support construction, provide better stability of strutting system, while few using backing material, and count
Evaluation time is short, high-efficient.
To achieve the above object, it is proposed, according to the invention, provide a kind of side of tree-like support construction for generating 3D printing model
Method, which is characterized in that this method includes the following steps:
S1 constructs first layer supporting point
For 3D model to be printed, the region to be supported of the model is identified, and using the region to be supported as first layer
The region to be supported is carried out grid dividing by supporting zone, and each grid node is a supporting point;
The formation of the supporting point of S2 i+1 layer
I-th layer of all supporting points are projected in horizontal plane xoy, multiple subpoints are obtained with this, wherein all projections
The view field is divided into m sub-regions, each subregion packet according to pre-set dimension as view field by the region that point is formed
Include multiple subpoints, wherein i=1,2 ..., n, j=1,2 ..., m,
(a) for j-th of subregion, the supporting point of an i+1 layer is generated according to the subpoint in j-th of subregion
P(i+1, j);Using the base station of 3D printer as bottom surface, the supporting point P generated is judged(i+1, j)Whether on printing base station:
(a1) as the supporting point P(i+1, j)When not on the base station, supporting point P is deleted(i+1, j), then will be described
Each supporting point in j-th of subregion is projected in respectively on the base station, so as to form multiple subpoints, multiple projection
Point is supporting point of j-th of the subregion in i+1 layer, by i-th layer of branch of each subpoint and the formation subpoint
Support point connection, so as to form a branch between i-th layer and i+1 layer, finally by branch all in j-th of subregion
Support point is from described in i-th layer of deletion;
(a2) as the supporting point P(i+1, j)When on the base station, by supporting point P(i+1, j)In j-th of subregion
Each supporting point is connected and is linked to be a plurality of line segment respectively, judges whether every line segment interfere with model to be printed:
I using interference point as the supporting point in i+1 layer, and deletes the supporting point for the line segment interfered
P(i+1, j)With the line segment that interferes in i-th layer corresponding supporting point, finally connect that formed in the interference point and i-th layer should
The supporting point of interference point, so as to form a branch between i-th layer and i+1 layer;
II is for the line segment that does not interfere, when the line segment not interfered is greater than 1, by there is no the lines of interference
J-th of the subregion gathered as i-th layer that section is formed in supporting point corresponding in i-th layer, return step (a) work as generation
The line segment of interference be equal to 1 when, using the line segment not interfered in i-th layer corresponding supporting point as the support of i+1 layer
Point;
(b) j=j+1, return step (a) is until complete the supporting point P that m-th of subregion generates i+1 layer(i+1, m), and
With this complete i-th layer to i+1 layers used in branch foundation;
S3i=i+1 repeats step S2, until the supporting point of n-th layer is 0, obtains tree-like support construction with this.
It is further preferred that the subpoint according in j-th of subregion generates an i+1 in step (a)
The supporting point P of layer(i+1,j), preferably carry out in following manner:
(1) the weight W of s-th of supporting point in j-th of subregion is sets, calculate supporting point P(i+1, j)In xoy plane
In subpointCoordinate,
Wherein, s is the quantity of supporting point in j-th of subregion, and k is the total quantity of supporting point in j-th of subregion, s=
1,2 ... k, xsIt is the abscissa of s-th of supporting point in j-th of subregion, ysIt is the vertical of s-th supporting point in j-th of subregion
Coordinate;
(2) in xoy plane, each supporting point is in the subpoint of xoy plane described in calculating j-th of subregion
SubpointThe distance between, k distance value is obtained with this, the maximum value l in the distance valuemaxCorresponding subpoint is
The corresponding supporting point of sp', subpoint sp' is sp, the supporting point P(i+1, j)The direction z coordinate calculate according to following expression
Formula carries out:
P(i+1, j), z=spz-lmaxcotαmax
Thus to obtain the coordinate of the supporting point are as follows:
Wherein, spzFor the coordinate in the z-axis direction of the supporting point sp, αmaxIt is the allowable angle of inclination of the supporting point.
It is further preferred that each branch is in a circular table shape, Mei Geshu for each branch in the support construction
The relationship of the diameter of the top and bottom of branch is carried out according to following expression formula:
ddown=dup(1+fαα+fll+fwwup)
Wherein, dupIt is the diameter of the upper end of branch, ddownIt is the diameter of branch lower end, α is the inclination angle of branch, and l is tree
The length of branch, wupIt is the weight of the branch upper end supporting point, fα、flAnd fwIt is branch inclination, length and the supporting point of setting respectively
The weighted value of weight.
It is further preferred that in step (1), the weight of s-th of supporting point in setting j-th of subregion
Ws, then the supporting point P of i+1 layer(i+1, j)Weight preferably according to following expression formula carry out:
Wherein,It is the supporting point P(i+1, j)Weight.
It is further preferred that in step s 2, it is described that the view field is divided into m sub-regions according to pre-set dimension,
Wherein, the pre-set dimension of i+1 layer is the integral multiple of i-th layer of pre-set dimension.
It is further preferred that in step s 2, as i=1, i.e. first layer supporting layer, the first layer supporting layer it is described
Pre-set dimension is set as 2 times of sampling interval.
In general, through the invention it is contemplated above technical scheme is compared with the prior art, can obtain down and show
Beneficial effect:
1, the present invention is handled by the face to be supported progress layering and zoning to 3D model to be printed, to simplify every
The computational problem of the supporting point of layer, while shortening the calculating time of every layer of supporting point, improve computational efficiency;
2, in tree-like support construction of the invention, each branch it is in a circular table shape, on the one hand make tree-like support construction
With satisfactory texture stability, while the backing material that each branch uses is decreased, to reduce whole support construction
The backing material used, reduces cost.
Detailed description of the invention
Fig. 1 is the method for the tree-like support construction of generation 3D printing model constructed by preferred embodiment according to the invention
Flow chart;
Fig. 2 is the method for the tree-like support construction of generation 3D printing model constructed by preferred embodiment according to the invention
First layer supporting zone formation schematic diagram;
Fig. 3 be first layer supporting zone is divided into xoy plane constructed by preferred embodiment according to the invention it is more
The schematic diagram of sub-regions;
Fig. 4 is the schematic diagram that the z-axis coordinate of supporting point is calculated constructed by preferred embodiment according to the invention;
Fig. 5 is the schematic diagram of branch between adjacent two layers constructed by preferred embodiment according to the invention;
Fig. 6 is the formation schematic diagram of tree-like support construction constructed by preferred embodiment according to the invention;
Fig. 7 is the structural schematic diagram of comparative test constructed by preferred embodiment according to the invention.
Specific embodiment
In order to make the objectives, technical solutions, and advantages of the present invention clearer, with reference to the accompanying drawings and embodiments, right
The present invention is further elaborated.It should be appreciated that the specific embodiments described herein are merely illustrative of the present invention, and
It is not used in the restriction present invention.As long as in addition, technical characteristic involved in the various embodiments of the present invention described below
Not constituting a conflict with each other can be combined with each other.
Fig. 1 is the method for the tree-like support construction of generation 3D printing model constructed by preferred embodiment according to the invention
Flow chart, as shown, it is a kind of generate 3D printing model tree-like support construction method, in entire process flow, I
Use recurrence supporting zone recognition methods identical with Qian, obtain the corresponding overhanging regions of model, then to these pendency
Region carries out uniform sampling, sampling interval Hs, obtain corresponding support point set S.
Fig. 2 is the method for the tree-like support construction of generation 3D printing model constructed by preferred embodiment according to the invention
First layer supporting zone formation schematic diagram, as shown in Fig. 2, 3D model to be printed for L, the overhanging regions of identification such as Fig. 2
Shown in gray area in the figure of the right, using divide and rule think strategy to these supporting points S carry out regional area division, Fig. 3 be according to
First layer supporting zone is divided into constructed by the preferred embodiment of the present invention in xoy plane the schematic diagram of multiple subregions,
As shown in figure 3, carrying out branch building in each regional area, then successively iteration, is finally completed with the tree-like branch of hierarchical structure
Support generates.
In the present embodiment, for support point set S, the specific implementation for carrying out tree-like support building is as follows:
Step 1: first support point set S being carried out projecting to xoy plane, carry out uniform grid for these subpoints and draw
Point, as shown in Fig. 2, 4 supporting points are comprised about in each subregion, the size H that the view field of first layer dividesgIt is set as
Sampling interval Hs2 times;
Step 2: the generation for the supporting point of i+1 layer is the supporting point in j-th of subregion according to the i-thth layer
It calculates and obtains, we generate a new supporting point P by the method based on local mass center(i+1, j), to construct from P(i+1, j)It arrives
The dendritic structure of supporting point, wherein new life point P(i+1, j)It to be generated inside the conical area of each supporting point, it in this way can be with
Guarantee that the dendritic structure for being connected to the supporting point can be printed, P(i+1, j)The phase of support circular cone in all supporting points
In Crosslinking Mechanisms, because these supporting points are not on a contour plane in 3d space, phase is accurately calculated in 3d space
Highest point in Crosslinking Mechanisms is very complicated, it is proposed that can fast implement P using a kind of efficient calculation formula of reality(i+1, j)'s
Position calculates.Fig. 4 is the schematic diagram that the z-axis coordinate of supporting point is calculated constructed by preferred embodiment according to the invention, such as Fig. 4
It is shown, the specific steps are as follows:
Firstly, calculating the mass center position of subregion in a horizontal plane according to formula (1) in subpoint in subregion
It sets, i.e. supporting point P(i+1, j)Subpoint in xoy plane
Then, in all subpoints in subregion, Special Projection point sp is calculated, i.e., in subregion in four nodes
With mass centerIt calculates according to geometrical relationship apart from farthest node sp' and obtains supporting point P(i+1, j)Z-axis coordinate,
P(i+1, j), z=spz-lmaxcotαmax (2)
Set the weight W of s-th of supporting point in j-th of subregions, wherein s is supporting point in j-th of subregion
Quantity, k is the total quantity of supporting point in j-th of subregion, s=1,2 ... k, xsIt is s-th of supporting point in j-th of subregion
Abscissa, ysIt is the ordinate of s-th of supporting point in j-th of subregion, for the new supporting point P in subregion(i+1, j)Weight
Amount, then be by the sum of the weight of supporting points all in j sub-regions.Calculating P(i+1, j)After position, then need to determine
P(i+1, j)Whether on printing base station, if illustrating P on printing base station(i+1, j)Position it is effective, then herein part
Region is established from P(i+1, j)To the dendritic structure of supporting point, and by P(i+1, j)It is returned as newly-generated supporting point, otherwise, directly
Support dendritic structure is vertically established from supporting point to print platform, at this point, the supporting point of current sub-region is all emptied, and not
Any new supporting point is returned to, if the number of support points of current sub-region is reduced to 1, the sole support point is as new support
Point returns.
Step 3: after the completion of all subregions calculate, then the new supporting point Pnew of all returns will merge one
It rises, and updates support point set S.
Repeat the iterative processing that step 1, step 2 and step 3 are executed to set S, in each iterative process, Hg=
2Hg, until S collective number is retracted to 0, then algorithm terminates, and tree-like support construction generation finishes, and Fig. 5 is according to the invention excellent
The schematic diagram of branch between adjacent two layers constructed by embodiment is selected, Fig. 6 is constructed by preferred embodiment according to the invention
The formation schematic diagram of tree-like support construction, is the branch of adjacent two layers structure time as shown in Figure 5, and Fig. 6 is according to the method described above
The final tree-like support construction obtained.
According to the tree topology information of acquisition, reasonable tree node diameter is determined, each branch is in a circular table shape, each
The relationship of the diameter of the top and bottom of branch is carried out according to following expression formula (3):
ddown=dup(1+fαα+fll+fwwup) (3)
Wherein, dupIt is the diameter of the upper end of branch, ddownIt is the diameter of branch lower end, α is the inclination angle of branch, and l is tree
The length of branch, wupIt is the weight of the branch upper end supporting point, fα、flAnd fwIt is branch inclination, length and the supporting point of setting respectively
The weighted value of weight.α and l can be calculated according to the coordinate of supporting point and be obtained after the supporting point for determining branch upper and lower ends, wupIt can
It is calculated and is obtained according to the weight of each supporting point in the corresponding upper sub-regions of upper end supporting point.
Calculating the branch obtained to guarantee that all branches are all kept according to above-mentioned expression formula is round table-like structure, together
When, it can also be ensured that the smooth ride comfort between branch node, the stability of this increased support construction.
Fig. 7 is the structural schematic diagram of comparative test constructed by preferred embodiment according to the invention, as shown in fig. 7, real
Testing the parameter used in a1, a2, b3 and b4 experiment see the table below, and by comparative analysis in an experiment, have round table-like support knot
Structure has satisfactory texture stability, while can reduce the use of backing material, and two in a1 and a2 branch is all because of tree
Branch is too thin and printing is caused to fail, by the diameter of two dendritic structures of overstriking, as two models can succeed in b3 and b4
Printing, still, b4 ratio b3 has better forming quality, because spray head is during the deposition process to the branch shaped in FDM technique
Support structure can apply a power, to generate torque to crotch structure, cause the jitter phenomenon of dendritic structure, b3 it is poor at
Form quality amount can illustrate that isodiametric crotch structure is more prone to produce flutter effect, however, round table-like support construction can be delayed
This jitter phenomenon is solved, provides better stability of strutting system, while using less backing material.
1 comparative experimental data of table
As it will be easily appreciated by one skilled in the art that the foregoing is merely illustrative of the preferred embodiments of the present invention, not to
The limitation present invention, any modifications, equivalent substitutions and improvements made within the spirit and principles of the present invention should all include
Within protection scope of the present invention.
Claims (6)
1. a kind of method for the tree-like support construction for generating 3D printing model, which is characterized in that this method includes the following steps:
S1 constructs first layer supporting point
For 3D model to be printed, the region to be supported of the model is identified, and support the region to be supported as first layer
The region to be supported is carried out grid dividing by region, and each grid node is a supporting point;
The formation of the supporting point of S2 i+1 layer
I-th layer of all supporting points are projected in horizontal plane xoy, multiple subpoints are obtained with this, wherein all projection dots
At region as view field, the view field is divided into m sub-regions according to pre-set dimension, each subregion includes more
A subpoint, wherein i=1,2 ..., n, j=1,2 ..., m,
(a) for j-th of subregion, the supporting point of an i+1 layer is generated according to the subpoint in j-th of subregion
P(i+1, j);Using the base station of 3D printer as bottom surface, the supporting point P generated is judged(i+1, j)Whether on printing base station:
(a1) as the supporting point P(i+1, j)When not on the base station, supporting point P is deleted(i+1, j), then by described by
Each supporting point in j sub-regions is projected in respectively on the base station, and so as to form multiple subpoints, multiple subpoint is
For j-th of subregion i+1 layer supporting point, by each subpoint and formed the subpoint i-th layer of supporting point
Connection, so as to form a branch between i-th layer and i+1 layer, finally by supporting point all in j-th of subregion
Described in i-th layer of deletion;
(a2) as the supporting point P(i+1, j)When on the base station, by supporting point P(i+1, j)With it is each in j-th of subregion
Supporting point is connected and is linked to be a plurality of line segment respectively, judges whether every line segment interfere with model to be printed:
I using interference point as the supporting point in i+1 layer, and deletes the supporting point P for the line segment interfered(i+1, j)With
The line segment interfered corresponding supporting point in i-th layer finally connects in the interference point and i-th layer and forms the interference point
Supporting point, so as to form a branch between i-th layer and i+1 layer;
II is for the line segment that does not interfere, when the line segment not interfered is greater than 1, by there is no the line segments of interference to exist
J-th of the subregion gathered as i-th layer that corresponding supporting point is formed in i-th layer, return step (a), when what is interfered
Line segment be equal to 1 when, using the line segment not interfered in i-th layer corresponding supporting point as the supporting point of i+1 layer;
(b) j=j+1, return step (a) is until complete the supporting point P that m-th of subregion generates i+1 layer(i+1, m), and it is complete with this
At the foundation of branch used in i-th layer to i+1 layers;
S3i=i+1 repeats step S2, until the supporting point of n-th layer is 0, obtains tree-like support construction with this.
2. a kind of method of tree-like support construction for generating 3D printing model as described in claim 1, which is characterized in that in step
Suddenly in (a), the subpoint according in j-th of subregion generates the supporting point P of an i+1 layer(i+1,j), preferably according to
Following method carries out:
(1) the weight W of s-th of supporting point in j-th of subregion is sets, calculate supporting point P(i+1, j)In xoy plane
SubpointCoordinate,
Wherein, s is the quantity of supporting point in j-th of subregion, and k is the total quantity of supporting point in j-th of subregion, s=1,
2 ... k, xsIt is the abscissa of s-th of supporting point in j-th of subregion, ysIt is the vertical seat of s-th of supporting point in j-th of subregion
Mark;
(2) in xoy plane, each supporting point in j-th of subregion is calculated in the subpoint of xoy plane to the projection
PointThe distance between, k distance value is obtained with this, the maximum value l in the distance valuemaxCorresponding subpoint is sp',
The corresponding supporting point of subpoint sp' is sp, the supporting point P(i+1, j)The direction z coordinate calculate according to following expression formula into
Row:
P(i+1, j), z=spz-lmaxcotαmax
Thus to obtain the coordinate of the supporting point are as follows:
Wherein, spzFor the coordinate in the z-axis direction of the supporting point sp, αmaxIt is the allowable angle of inclination of the supporting point.
3. a kind of method of tree-like support construction for generating 3D printing model as claimed in claim 1 or 2, which is characterized in that
For each branch in the support construction, each branch is in a circular table shape, the diameter of the top and bottom of each branch
Relationship according to following expression formula carry out:
ddown=dup(1+fαα+fll+fwwup)
Wherein, dupIt is the diameter of the upper end of branch, ddownIt is the diameter of branch lower end, α is the inclination angle of branch, and l is branch
Length, wupIt is the weight of the branch upper end supporting point, fα、flAnd fwIt is branch inclination, length and the supporting point weight of setting respectively
Weighted value.
4. a kind of method of tree-like support construction for generating 3D printing model as claimed in claim 2, which is characterized in that in step
Suddenly in (1), the weight W of s-th of supporting point in setting j-th of subregions, then the supporting point of i+1 layer
P(i+1, j)Weight preferably according to following expression formula carry out:
Wherein,It is the supporting point P(i+1, j)Weight.
5. a kind of method of tree-like support construction for generating 3D printing model according to any one of claims 1-4, feature
Be, it is in step s 2, described that the view field is divided into m sub-regions according to pre-set dimension, wherein i+1 layer it is pre-
If size is the integral multiple of i-th layer of pre-set dimension.
6. a kind of method of tree-like support construction for generating 3D printing model as described in any one in claim 1-5, feature
It is, in step s 2, as i=1, i.e., first layer supporting layer, the pre-set dimension of the first layer supporting layer are set as adopting
2 times of sample interval.
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Publication number | Priority date | Publication date | Assignee | Title |
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CN111036898A (en) * | 2019-12-24 | 2020-04-21 | 重庆塞领科技有限公司 | Support generation method for 3D printing false tooth support |
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CN116921700A (en) * | 2023-09-15 | 2023-10-24 | 四川工程职业技术学院 | Laser selective melting forming anti-deformation method for high-temperature alloy |
CN116921700B (en) * | 2023-09-15 | 2023-12-08 | 四川工程职业技术学院 | Laser selective melting forming anti-deformation method for high-temperature alloy |
CN117341206A (en) * | 2023-10-08 | 2024-01-05 | 南京林业大学 | Support structure generation method based on octree |
CN117341206B (en) * | 2023-10-08 | 2024-03-29 | 南京林业大学 | Support structure generation method based on octree |
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