CN103823928A - Method for automatically generating support of three-dimensional printing part on basis of scanning biasing - Google Patents

Abstract

The invention discloses a method for automatically generating a support of a three-dimensional printing part on the basis of scanning biasing. The method comprises the following steps of determining an area gather requiring a support in an STL (standard template library); respectively projecting areas in the area gather on an xy plane to form projection areas; generating a series of scanning lines which are mutually staggered along the x direction and the y direction on each projection area so as to form a scanning line gather; scanning the scanning lines in the scanning line gather along the z-axis direction; solving two intersection line sequence gathers; solving an intersection point of the two intersection sequence gathers by using parallel lines of which the spacing distances are (d) so as to obtain two groups of intersection point sequence gathers; classifying the two groups of intersection point sequence gathers and biasing the two groups of intersection point sequence gathers in the z-axis direction so as to obtain four groups of corresponding biased point sequence gathers; sequentially selecting three groups of biased point sequence gathers from the four groups of corresponding biased point sequence gathers to create a triangular patch; generating data information of the supporting patch; and generating the support. By using the method, the support of the three-dimensional printing part is generated automatically. The method is clear in principle and easy to operate.

Description

3 D-printing part based on scanning biasing supports automatic generation method

Technical field

The present invention relates to 3 D-printing field, especially relate to a kind of method of setovering by scanning and carry out part support automatic generation method processing stage of 3 D-printing model, can fast and effeciently generate the required support of part, and can carry out artificial editor.

Background technology

Three-dimensional printing technology is a kind of take digital model file as basis, use powdery metal or the plastics etc. can jointing material, carry out the technology of detail of construction by the mode of successively printing, its main process is that the part that needs are printed carries out slicing delamination with certain bed thickness, then start to print every one deck from substrate, current layer is all piled up and is formed on front one deck, the effect that front one deck plays location and supports current layer.When profile between two-layer if there is front and back and area have greatly changed, the profile of front one deck just can not provide enough location and supporting roles to current layer, cause processing unsuccessfully, so needed part model to process before 3 D-printing, generate enough supports and ensure process afterwards.

The support of 3 D-printing part need to meet following requirement: the support 1, generating must guarantee enough strength and stabilities, with the part of guaranteeing to be supported in himself and it, deformation can not occur; 2, supporting should be the least possible, and unnecessary support can cause waste of material, and working (machining) efficiency reduces; 3, support and be easy to peel off from piece surface, if support section and part are bonding excessively firm, not only increase to support and peel off required time, and can affect supporting zone piece surface machining precision.

Consider these requirements, reasonably select the position of generation support and the form of support just to seem extremely important, mainly contain at present following several for the scheme of part support generation: 1. in pair part model section file, the outline line between levels compares, before the excessive place increase Support Level of difference makes, one deck can have good supporting role (Chen Yuping, Wu Xiaohong etc. to current layer, the automatic generation method of supporting construction research [J] in rapid shaping technique, Xi'an Technology University's journal, 2007,27 (3): 485-489); 2. pair part STL model is analyzed, determine a series of dough sheets that need support, on dough sheet, generate support (Dong Xuezhen, Mo Jianhua etc., the research [J] of cylindricality support generation algorithm in photocuring rapid prototyping of cylindricality, 2004,32 (8): 16-19); 3. calculate the intersection profile of Support Level and part model, then in profile, generate support (Li Wei, Wu Rendong etc., the automatic generating calculation of profile of tooth supporting construction [J] in Quick-forming, the China Mechanical Engineering of profile of tooth, 2003,14 (24): 2127-2130).Scheme 1 can reach the object that generation is supported to a certain extent, but in the process that generates support, could not utilize well the topology information of model file, and the support of generation is reliable not, and support is difficult for peeling off.Scheme 2 has been considered the topology information of model file, and still the support of single generation cylindricality cannot be treated supporting surface and form enough anchorage forces.The profile of tooth that scheme 3 generates supports the support that can compare part, and has also considered peeling off of support, but calculated amount is too large in the time generating this profile of tooth support, and efficiency is on the low side.In addition three kinds of human-editeds that scheme all can not support, the support validity and reliability existing problems of generation.

Summary of the invention

The invention provides a kind of 3 D-printing part based on scanning biasing and support automatic generation method, by determining a series of supporting zone to be generated after part STL model is analyzed, in supporting zone to be generated, generate the sweep trace of certain density, then utilize the method for scanning biasing to generate and support in each region, human-edited is carried out in the support that can generate regional simultaneously, existing support carried out part deletion or increased new support, finally obtain high-quality support, the method has effectively simple, principle is clear, simple to operate, be easy to the features such as realization.

3 D-printing part based on scanning biasing supports an automatic generation method, comprises the following steps:

(1) the STL model of part is analyzed, determined a series of regions of supporting that need to generate, form regional ensemble P={P ₁, P ₂... P _t..., P _m, wherein: P _tbe that t needs generate the region of supporting, M is the number that needs to generate the region of supporting; M is generally the natural number that is greater than zero;

(2) the each region in regional ensemble P is projected to respectively in xy plane, form a corresponding M view field, to each view field, to generate spacing be g along x and the interlaced a series of sweep traces of y direction, forms sweep trace set L corresponding to this region _p;

(3) by sweep trace set L _pin each sweep trace along z axle positive dirction scanning, ask for model in the intersection of corresponding region obtain intersection arrangement set UL _p, by intersection arrangement set UL _pin every intersection scan and calculate and model crossing intersection first along z axle negative direction, obtain intersection arrangement set DL _p;

(4) with being equidistantly that the parallel lines of d are to intersection arrangement set UL _pwith intersection arrangement set DL _pin the corresponding line find intersection simultaneously of each group, obtain two groups of intersection point arrangement sets, be respectively intersection point arrangement set D _uLPwith intersection point arrangement set D _dLP;

(5) antinode arrangement set D _uLPwith intersection point arrangement set D _dLPin some classification, wherein part point is setovered according to preset value in z axle positive dirction, another part point is setovered according to preset value in z axle negative direction, two parts point is crisscross arranged respectively;

(6) extract respectively intersection point arrangement set D _uLPwith intersection point arrangement set D _dLPthe point that middle biased direction is identical, obtains the point sequence set D after 4 groups of corresponding biasings _uLP+, D _uLP-, D _dLP+and D _dLP-; 3 that choose successively in these 4 groups points create tri patch, generate and support dough sheet data message, complete the generation of support.

Wherein in step (6), D _uLP+for D _uLPmiddle corresponding point sequence set after setovering along z axle positive dirction; D _uLP-for D _uLPmiddle corresponding point sequence set after setovering along z axle negative direction; D _dLP+for D _dLPmiddle corresponding point sequence set after setovering along z axle positive dirction; D _dLP-for D _dLPmiddle corresponding point sequence set after setovering along z axle negative direction.

Judge which region need to generate while support, can adopt multiple existing method, as preferably, described needs generate the region of supporting and identify by the method vector n of each tri patch in STL model, when n is less than at the component of z direction

this tri patch need to generate support, connected needs is generated to the tri patch supporting and combine the region that forms a needs generation support.

As preferably, described intersection arrangement set UL _pwith intersection arrangement set DL _pthe broken line set being made up of a series of line segments, as intersection arrangement set UL _pin certain line crossing with model while scanning along z axle negative direction, but and z ₀when Plane intersects, intersection arrangement set DL _pthe line of middle correspondence is intersection arrangement set UL _pin that line at z ₀projection in plane, z ₀plane is that z axial coordinate is 0 plane.

As preferably, described step (5) comprises the following steps:

(a) note intersection point arrangement set D _uLPin i group intersection point be D _iU={ D _iU1, D _iU2... D _iUj..., D _iUN, wherein D _iUjbe j intersecting point coordinate in i group intersection point; N is the number of intersection point in i group; Extract D _iUin even item, and the even item of extraction is carried out to d in z axle positive dirction ₊biasing obtain intersection point arrangement set $D_{\mathrm{iU}}^{+}=\{{\mathrm{<figure-callout\; id="1"\; label="D\; iU"\; filenames="HDA0000467298380000021.png"\; state="\{\{state\}\}">D</figure-callout>}}_{\mathrm{iU}}^1,{\mathrm{<figure-callout\; id="2"\; label="D\; iU"\; filenames="HDA0000467298380000021.png"\; state="\{\{state\}\}">D</figure-callout>}}_{\mathrm{iU}}^2,...,D_{\mathrm{iUs}}^{+},...,D_{\mathrm{iUA}}^{+}\};$ Extract D _iUin odd term, and the odd term of extraction is carried out to d in z axle negative direction _{_}biasing obtain $D_{\mathrm{iU}}^{-}=\{D_{\mathrm{iU}1}^{-},D_{\mathrm{iU}2}^{-},...,D_{\mathrm{iUr}}^{-},...,D_{\mathrm{iUB}}^{-}\},$ D _{_}, d ₊for the distance of needs biasing, be all greater than zero, and

wherein

for D _iUin point coordinate after the biasing of s even item intersection point, A is the number of middle intersection point,

for D _iUin point coordinate after the biasing of r odd term intersection point, B is

the number of middle intersection point, A+B=N;

(b) note intersection point arrangement set D _dLPin i group intersection point be D _iD={ D _iD1, D _iD2..., D _iDk..., D _iDN, wherein D _iDkbe k intersecting point coordinate in i group intersection point; Extract D _iDin even item, and the even item of extraction is carried out to d in z axle negative direction ₊biasing obtain intersection point arrangement set $D_{\mathrm{iD}}^{-}=\{D_{\mathrm{iD}1}^{-},D_{\mathrm{iD}2}^{-},...,D_{\mathrm{iDp}}^{-},...,D_{\mathrm{iDA}}^{-}\},$ Extract D _iUin odd term, and the odd term of extraction is carried out to d in z axle positive dirction _{_}biasing obtain $D_{\mathrm{iD}}^{+}=\{{\mathrm{<figure-callout\; id="1"\; label="D\; iD"\; filenames="HDA0000467298380000021.png"\; state="\{\{state\}\}">D</figure-callout>}}_{\mathrm{iD}}^1,{\mathrm{<figure-callout\; id="2"\; label="D\; iD"\; filenames="HDA0000467298380000021.png"\; state="\{\{state\}\}">D</figure-callout>}}_{\mathrm{iD}}^2,...,D_{\mathrm{iDq}}^{+},...,D_{\mathrm{iDB}}^{+}\},$ Wherein

for D _iDin point coordinate after the biasing of p even item intersection point, for D _iDin point coordinate after the biasing of q odd term intersection point; Work as D _iDin z ₀in plane time, d _{_}=d ₊=0; Wherein, z ₀plane is that z axial coordinate is 0 plane;

(c) read in order at every turn

with

in each point

with

m=n or m=n-1, and be less than or equal to N, by

with

a tri patch of each composition is as support;

(d) right

with

every group of point preserved all support dough sheet data messages after all generating and supporting.

For the part of some special construction, for improving support accuracy, as preferably, support after the generation of dough sheet data message, for the region that can not meet printing needs, carry out human-edited, described human-edited's process is as follows: in a visualized graph interface, show one by one the sweep trace set L in outline line and the region that needs to generate each region in the regional ensemble P supporting _p, to choose the region that can not meet printing needs, and delete the line segment that does not wherein need to generate support, the position of simultaneously supporting in needs increase is drawn corresponding line segment and is joined corresponding sweep trace set L _pin, the region that each energy meets printing needs completes after editor, sweep trace set L _pmiddle conductor had the region of increase and decrease to regenerate support by step (3)-(5), sweep trace set L _pmiddle conductor does not have vicissitudinous region to retain original support, completes the renewal to supporting.

With D _uLPfor example, while carrying out the biasing of z axle positive dirction, described d ₊meet: 0 < d ₊≤ 0.3mm; Described d ₊meet; In print procedure, the part of this part biasing finally can be dissolved in 3 d part model, not impact on the process of zeroth order, only odd term is setovered and is also fine in z-direction (in z axle negative direction) theoretically, but the strong point is too little, be unfavorable for supporting, the biasing of also carrying out d+ in z+ direction (z axle positive dirction) afterwards final support and the intersection of model is some extremely short line segments in fact, realize the transformation of support level from point to line, improved support strength.Described d _-meet: 2mm≤d _-≤ 6mm.So that after having printed, fast and easy realization support separates with part.

According to three-dimensional model structure difference, the numerical values recited of capable of regulating g and d, as preferably, described g meets: 4mm≤g≤8mm; Described d meets: 2mm≤g≤5mm.

The x, y, z that the present invention mentions, in the situation that there is no specified otherwise, all refers to x-axis, y-axis and z-axis in three-dimensional coordinate.

The 3 D-printing part that the present invention is based on scanning biasing supports automatic generation method and has effectively simple, principle is clear, simple operation and other advantages can automatically generate support to part processing stage of 3 D-printing model, and the artificial support edit methods of interactive is provided.

The 3 D-printing part that method of the present invention generates supports can provide enough supports for the part of 3 D-printing in print procedure, improve the success ratio of 3 D-printing, and after printing completes, can peel off with part well, thereby guarantee reasonable surface accuracy.

Accompanying drawing explanation

Fig. 1 is that the present invention carries out the process flow diagram that the support of 3 D-printing part generates automatically;

Fig. 2 is a region p to be supported in the present invention _tprojection in xy plane and the corresponding sweep trace that is spaced apart g thereof;

Fig. 3 is that the present invention is using the equidistant parallel lines for d to UL _pand DL _pfind intersection, obtains two groups of intersection point arrangement set D simultaneously _uLPand D _dLP;

Fig. 4 is that the present invention is at D _iDin z ₀in plane time, generate and support schematic diagram;

Fig. 5 is that the present invention is at D _iDin z ₀, generate and support schematic diagram when plane the top;

Fig. 6 needs to generate the part STL model and the region P to be supported thereof that support in the embodiment of the present invention 1 ₁, P ₂and P ₃;

Fig. 7 is P in the embodiment of the present invention 1 ₂the sweep trace L that region generates ₂;

Fig. 8 is the support that in the embodiment of the present invention 1, part generates;

Fig. 9 is the support that in the embodiment of the present invention 2, part generates;

Figure 10 is human-edited front and back sweep trace in the embodiment of the present invention 2;

Figure 11 is the support generating after human-edited in the embodiment of the present invention 2.

In figure: 1, outline line; 2, sweep trace; 3, intersection; 4, bias point; 5, intersection point; 6, bias point; 7, intersection point; 8, intersection; 9, triangular plate; 10, triangular plate; 11 bias points; 12, bias point; 13, the sweep trace automatically generating; 14, human-edited's sweep trace.

Embodiment

Below in conjunction with accompanying drawing and example, the present invention is further illustrated.

Embodiment 1

Shown in Fig. 6, be the part STL model of a support to be generated, now need to carry out support generation to it, to guarantee that part can not cave in 3 D-printing process.

According to the flow process of Fig. 1, the method vector n of each tri patch in STL model is identified, when n is less than at the component of z direction

this tri patch need to generate support, and the tri patch that connected needs generation is supported is combined and obtained region to be supported, and multiple regions form regional ensemble P={P ₁, P ₂, P ₃, P ₁, P ₂, P ₃be respectively and need to generate the single region of supporting, as shown in Figure 6.

As shown in Figure 2, respectively by P ₁, P ₂, P ₃project in xy plane, and a series of sweep traces 2 along x and y direction that are g=6mm in each view field inner generation spacing, the edge projection in region forms outline line 1, obtains P ₁, P ₂, P ₃corresponding sweep trace set L _p={ L ₁, L ₂, L ₃, wherein, L ₁for P ₁corresponding sweep trace collection, L ₂for P ₂corresponding sweep trace collection, L ₃for P ₃corresponding sweep trace collection, Fig. 7 has shown P ₂the sweep trace collection L generating in region ₂.

As Fig. 3 and Fig. 4, one by one by sweep trace set L _pin each group sweep trace along z+ direction (z axle positive dirction) scanning, ask for the intersection 3 of model corresponding region and obtain intersection sequence UL _p={ UL ₁, UL ₂, UL ₃, wherein UL ₁for L ₁with P ₁intersection collection, UL ₂for L ₂with P ₂intersection collection, UL ₃for L ₃with P ₃intersection collection.Then by UL _pin each group line calculate and the intersection 8 of model along z-direction (z axle negative direction) scanning, wherein P ₃uL in region ₃can be crossing with model when along z-scanning direction, directly obtain UL ₃intersection collection DL with model ₃, and P (as shown in Figure 3) ₁, P ₂each group of line in region can crossing with model (not as shown in Figure 4) when along z-scanning direction, thereby will be by calculating UL ₁and UL ₂at z ₀projection in plane obtains intersection collection DL ₁with intersection collection DL ₂, obtain intersection sequence D L _p={ DL ₁, DL ₂, DL ₃.

As Fig. 3 and Fig. 4, with the parallel lines of equidistant d=3mm to UL _pand DL _pin corresponding line find intersection 5 and the intersection point 7 simultaneously of each group, obtain intersection point arrangement set D _uLP={ D _uL1, D _uL2, D _uL3and intersection point arrangement set D _dLP={ D _dL1, D _dL2, D _dL3.Wherein, D _uL1for parallel lines and intersection collection UL ₁intersection point collection, D _uL2for parallel lines and intersection collection UL ₂intersection point collection, D _uL3for parallel lines and intersection collection UL ₃intersection point collection.D _uL1for parallel lines and intersection collection DL ₁intersection point collection, D _uL2for parallel lines and intersection collection DL ₂intersection point collection, D _uL3for parallel lines and intersection collection DL ₃intersection point collection.

With region P ₂the 5th group of interior point is example:

Region P ₂interior D _uL2in the 5th group point be:

D _5U=(15,0,10), (15,3,10) ..., (15,33,10) }, extract D _5Uin even item, and by D _5Umiddle even item is carried out d in z+ direction ₊the biasing (as the bias point 4 in Fig. 4 and Fig. 5) of=0.2mm obtains:

$D_{5U}^{+}=\{\left(\mathrm{15,3,10.2}\right),\left(\mathrm{15,9,10.2}\right),...,\left(\mathrm{15,33,10.2}\right)\},$ Extract D _5Uin odd term, and middle odd term is carried out in z-direction to d _-the biasing (as the bias point 6 in Fig. 4 and Fig. 5) of=5mm obtains:

$D_{5U}^{-}=\{\left(\mathrm{15,0,5}\right),(15,\mathrm{6,5}),...,(\mathrm{15,30},5)\},$ Wherein d _-pass through $d_{-}=\sqrt{3}d-d_{+}$ Calculate.

Region P ₂interior D _dL2in the 5th group of point for D _5D=(15,0,0), (15,3,0) ..., (15,33,0) }, D _5Dmiddle a little all at z ₀in plane, thereby d _{_}=d ₊=0, extract D _5Dmiddle even item, and by D _5Dmiddle even item is carried out d in z-direction ₊biasing (as the bias point 12 in Fig. 5) obtain $D_{5D}^{-}=\{\left(\mathrm{15,3,0}\right),\left(\mathrm{15,9,0}\right),...,\left(\mathrm{15,33,0}\right)\},$ Extract D _5Dmiddle odd term, and middle odd term is carried out in z+ direction to d _{_}biasing (as bias point in Fig. 5 11) obtain $D_{5D}^{+}=\{\left(\mathrm{15,0,0}\right),\left(\mathrm{15,6,0}\right),...,\left(\mathrm{15,30,0}\right)\}.$

Read in order

with

in each some composition tri patch (as the triangular plate 9 in Fig. 3 and Fig. 5 and triangular plate 10) as supporting, the tri patch of composition is respectively { (15,0,0), (15,3,0), (15,0,5) }, { (15,0,5), (15,3,0), (15,3,10.2) } ..., { (15,30,0), (15,33,0), (15,30,10.2) }, { (15,30,5), (15,33,0), (15,33,10.2) }.As shown in Figure 4 and Figure 5.

All groups of each region point is all generated after tri patch supports and preserves all supports, and Fig. 8 has shown P in this part ₁, P ₂, P ₃the support of interior generation.

Embodiment 2

Shown in Fig. 9, be a part and the support that automatically generates by the present invention thereof, as can be seen from the figure P _esupport in region is reasonable not, too fragile, supports this and easily caves in 3 D-printing process, thereby need to carry out human-edited to this part support.

In visualized graph interface, show P _eregion interscan line, as shown in Figure 10 (a), deletes original sweep trace (sweep trace 13 automatically generating), manually at P _einterior drafting sweep trace, obtains human-edited's sweep trace 14, as shown in Figure 10 (b), after having edited by automatically generating step in supporting to P _ethe newly-generated support of Regional Gravity And, retains the original support of other parts, the support after being edited, as shown in figure 11.

Claims (7)

1. the 3 D-printing part based on scanning biasing supports an automatic generation method, it is characterized in that, comprises the following steps:

(1) the STL model of part is analyzed, determined a series of regions of supporting that need to generate, form regional ensemble P;

(2) the each region in regional ensemble P is projected to respectively in xy plane, form a corresponding M view field, to each view field, to generate spacing be g along x and the interlaced a series of sweep traces of y direction, forms sweep trace set L corresponding to this region _p;

(3) by sweep trace set L _pin each sweep trace along z axle positive dirction scanning, ask for model in the intersection of corresponding region obtain intersection arrangement set UL _p, by intersection arrangement set UL _pin every intersection scan and calculate and model crossing intersection first along z axle negative direction, obtain intersection arrangement set DL _p;

(4) with being equidistantly that the parallel lines of d are to intersection arrangement set UL _pwith intersection arrangement set DL _pin the corresponding line find intersection simultaneously of each group, obtain two groups of intersection point arrangement sets, be respectively intersection point arrangement set D _uLPwith intersection point arrangement set D _dLP;

(5) antinode arrangement set D _uLPwith intersection point arrangement set D _dLPin some classification, wherein part point is setovered according to preset value in z axle positive dirction, another part point is setovered according to preset value in z axle negative direction, two parts point is crisscross arranged respectively;

(6) extract respectively intersection point arrangement set D _uLPwith intersection point arrangement set D _dLPthe point that middle biased direction is identical, obtains the point sequence set D after 4 groups of corresponding biasings _uLP+, D _uLP-, D _dLP+and D _dLP-; 3 that choose successively in these 4 groups points create tri patch, generate and support dough sheet data message, complete the generation of support.

2. the 3 D-printing part based on scanning biasing according to claim 1 supports automatic generation method, it is characterized in that, described needs generate the region of supporting and identify by the method vector n of each tri patch in STL model, when n is less than at the component of z direction

this tri patch need to generate support, connected needs is generated to the tri patch supporting and combine the region that forms a needs generation support.

3. the 3 D-printing part based on scanning biasing according to claim 1 supports automatic generation method, it is characterized in that described intersection arrangement set UL _pwith intersection arrangement set DL _pthe broken line set being made up of a series of line segments, as intersection arrangement set UL _pin certain line crossing with model while scanning along z axle negative direction, but and z ₀when Plane intersects, intersection arrangement set DL _pthe line of middle correspondence is intersection arrangement set UL _pin that line at z ₀projection in plane, z ₀plane is that z axial coordinate is 0 plane.

4. the 3 D-printing part based on scanning biasing according to claim 1 supports automatic generation method, it is characterized in that, described step (5) comprises the following steps:

(a) note intersection point arrangement set D _uLPin i group intersection point be D _iU={ D _iU1, D _iU2... D _iUj..., D _iUN, wherein D _iUjbe j intersecting point coordinate in i group intersection point; N is the number of intersection point in i group; Extract D _iUin even item, and the even item of extraction is carried out to d in z axle positive dirction ₊biasing obtain intersection point arrangement set $D_{\mathrm{iU}}^{+}=\{D_{\mathrm{iU}1}^{+},D_{\mathrm{iU}2}^{+},...,D_{\mathrm{iUs}}^{+},...,D_{\mathrm{iUA}}^{+}\};$ Extract D _iUin odd term, and the odd term of extraction is carried out to d in z axle negative direction _{_}biasing obtain $D_{\mathrm{iU}}^{-}=\{D_{\mathrm{iU}1}^{-},D_{\mathrm{iU}2}^{-},...,D_{\mathrm{iUr}}^{-},...,D_{\mathrm{iUB}}^{-}\},$ D _{_}, d ₊for the distance of needs biasing, be all greater than zero, and

wherein

for D _iUin point coordinate after the biasing of s even item intersection point, A is

the number of middle intersection point,

for D _iUin point coordinate after the biasing of r odd term intersection point, B is

the number of middle intersection point, A+B=N;

(b) note intersection point arrangement set D _dLPin i group intersection point be D _iD={ D _iD1, D _iD2..., D _iDk..., D _iDN, wherein D _iDkbe k intersecting point coordinate in i group intersection point; Extract D _iDin even item, and the even item of extraction is carried out to d in z axle negative direction ₊biasing obtain intersection point arrangement set $D_{\mathrm{iD}}^{-}=\{D_{\mathrm{iD}1}^{-},D_{\mathrm{iD}2}^{-},...,D_{\mathrm{iDp}}^{-},...,D_{\mathrm{iDA}}^{-}\},$ Extract D _iUin odd term, and the odd term of extraction is carried out to d in z axle positive dirction _{_}biasing obtain $D_{\mathrm{iD}}^{+}=\{D_{\mathrm{iD}1}^{+},D_{\mathrm{iD}2}^{+},...,D_{\mathrm{iDq}}^{+},...,D_{\mathrm{iDB}}^{+}\},$ Wherein

for D _iDin point coordinate after the biasing of p even item intersection point,

for D _iDin point coordinate after the biasing of q odd term intersection point; Work as D _iDin z ₀in plane time, d _{_}=d ₊=0; Wherein, z ₀plane is that z axial coordinate is 0 plane;

(c) read in order at every turn

with

in each point

with , m=n or m=n-1, and be less than or equal to N, by

with

a tri patch of each composition is as support;

(d) right

with

every group of point preserved all support dough sheet data messages after all generating and supporting.

5. support automatic generation method according to the 3 D-printing part based on scanning biasing described in the arbitrary claim of claim 1-4, it is characterized in that, support after the generation of dough sheet data message, for the region that can not meet printing needs, carry out human-edited, described human-edited's process is as follows: in a visualized graph interface, show one by one the sweep trace set L in outline line and the region that needs to generate each region in the regional ensemble P supporting _p, to choose the region that can not meet printing needs, and delete the line segment that does not wherein need to generate support, the position of simultaneously supporting in needs increase is drawn corresponding line segment and is joined corresponding sweep trace set L _pin, the region that each energy meets printing needs completes after editor, sweep trace set L _pmiddle conductor had the region of increase and decrease to regenerate support by step (3)-(5), sweep trace set L _pmiddle conductor does not have vicissitudinous region to retain original support dough sheet data message, completes the renewal to supporting dough sheet data message.

6. support automatic generation method according to the 3 D-printing part based on scanning biasing described in the arbitrary claim of claim 1-4, it is characterized in that described d ₊meet: 0 < d ₊≤ 0.3mm; Described d ₊meet; Described d _-meet: 2mm≤d _-≤ 6mm.

7. support automatic generation method according to the 3 D-printing part based on scanning biasing described in the arbitrary claim of claim 1-4, it is characterized in that, described g meets: 4mm≤g≤8mm; Described d meets: 2mm≤g≤5mm.

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