CN109522585B - Self-adaptive layering method for preventing feature migration of 3D printing model - Google Patents
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Abstract
本发明公开一种防止3D打印模型特征偏移的自适应分层方法,包括建立三维模型,对所述三维模型进行网格化处理,以生成STL文件,读取所述STL文件,并对从所述STL文件中读取的数据进行预处理操作,以得到预处理后的数据,识别网格化处理后的三维模型上特征高度,得到一组高度数据
对相邻的特征高度之间进行间距调节,即对所述高度数据进行调节,在所述特征高度的位置进行分层切片,在相邻的特征高度之间进行自适应分层,获得切片轮廓信息,生成打印文件,打印3D模型。本发明保证了分层平面经过模型特征所在位置,从而保留三维模型特征,能够有效防止3D打印模型打印过程中因材料逐层累加导致的特征偏移和丢失,减小阶梯误差。The invention discloses an adaptive layering method for preventing the feature deviation of 3D printing model, which includes establishing a three-dimensional model, performing grid processing on the three-dimensional model to generate an STL file, reading the STL file, and analyzing the data from the three-dimensional model. The data read in the STL file is subjected to a preprocessing operation to obtain preprocessed data, and the feature heights on the three-dimensional model after gridding processing are identified to obtain a set of height data.
Adjust the spacing between adjacent feature heights, that is, adjust the height data Adjustment is performed, layered slicing is performed at the position of the feature height, adaptive layering is performed between adjacent feature heights, slice contour information is obtained, a print file is generated, and a 3D model is printed. The invention ensures that the layered plane passes through the position of the model features, thereby retaining the three-dimensional model features, can effectively prevent the feature offset and loss caused by the accumulation of materials layer by layer during the 3D printing model printing process, and reduce the step error.Description
技术领域technical field
本发明属于3D打印技术领域,特别是涉及一种防止3D打印模型特征偏移的自适应分层方法。The invention belongs to the technical field of 3D printing, and in particular relates to an adaptive layering method for preventing the feature offset of 3D printing models.
背景技术Background technique
3D打印(3D Printing)技术也称为快速成型(Rapid Prototyping,RP)或增材制造(additive manufacturing,AM),是通过CAD设计并将材料逐层累加制造三维实体零件的技术。具体实现步骤分为,首先利用CAD设计或反向工程获取三维模型,并转为格式简单、具有良好的通用性的STL(Stereolithographic)格式或其他可操作格式文件进行处理;然后在选定的分层方向上,用不同高度的平面与模型相交,获得一系列的轮廓信息;再根据轮廓信息,确定打印路径及其他工艺参数,控制打印机将材料从低到高逐层堆积粘结,最后形成三维实体。材料逐层累加会使打印倾斜表面时工件表面件存在明显的阶梯误差(或台阶效应,stair-stepping effect)及模型特征的丢失和偏移,直接影响加工件表面质量,且分层位置的确定和层数会直接影响加工件表面精度和加工效率。然而,工件的三维模型不论是由CAD软件设计还是由反向工程获取,都必须先选定分成方向和分层高度,通过分层处理后送入打印设备中进行加工处理。3D Printing (3D Printing) technology, also known as Rapid Prototyping (RP) or Additive Manufacturing (AM), is a technology that manufactures three-dimensional solid parts through CAD design and layer-by-layer accumulation of materials. The specific implementation steps are divided into: first, use CAD design or reverse engineering to obtain a 3D model, and convert it into a STL (Stereolithographic) format or other operable format file with a simple format and good versatility for processing; In the layer direction, planes with different heights are used to intersect the model to obtain a series of contour information; then according to the contour information, the printing path and other process parameters are determined, and the printer is controlled to stack and bond the materials layer by layer from low to high, and finally form a three-dimensional entity. The accumulation of materials layer by layer will cause obvious step error (or step effect, stair-stepping effect) and loss and offset of model features on the surface of the workpiece when printing inclined surfaces, which directly affects the surface quality of the workpiece and the determination of the layering position. And the number of layers will directly affect the surface accuracy and processing efficiency of the workpiece. However, whether the three-dimensional model of the workpiece is designed by CAD software or obtained by reverse engineering, the dividing direction and layer height must be selected first, and then sent to the printing equipment for processing after layering.
目前,基于STL格式的分层方法主要有等厚分层和自适应分层方法。等厚分层方法层厚固定、实现简单、加工速度快,虽然台阶效应明显,但是在制作体积较大且精度要求不高的工件时应用较多;尽管较小的层厚可以获得更高的表面质量,但却会因分层层数的增加而增加内存占用空间、加工时间及模型打印时间,从而降低加工效率。自适应分层的切片厚度不是常数,而是由模型的几何形状和机器加工精度决定的,会根据待加工工件模型的表面复杂度自动调节分层厚度,从而使表面复杂、倾斜严重的大曲率模型具有较小的分层厚度,分层层数较多,而表面简单的模型分层层数相应较少。自适应分层算法采用变化的层厚,在一定程度上减小了阶梯误差,解决了加工精度与加工时效率之间的矛盾,但层厚无论多小,阶梯效应都无法完全消除,且无法确保分层平面经过所有模型特征,导致模型特征未被打印或特征的位置发生偏移,无法处理特征丢失和偏移问题。因此,在相同表面质量下,自适应分层要比等厚分层得到的层数少,因而加工效率更高。但是,目前大多数自适应分层算法主要研究层高和阶梯误差之间的关系,针对模型特征偏移和丢失问题的解决方法仍然较少。因此,迫切需要提出一种有效解决模型特征偏移问题的改进自适应分层方法,从而进一步减小台阶效应,解决特征偏移和丢失问题。At present, the layering methods based on STL format mainly include equal thickness layering and adaptive layering methods. The equal-thickness layering method has a fixed layer thickness, is simple to implement, and has a fast processing speed. Although the step effect is obvious, it is widely used in the production of workpieces with large volumes and low precision requirements; although a smaller layer thickness can obtain higher Surface quality, but will increase the memory footprint, processing time and model printing time due to the increase in the number of layered layers, thereby reducing the processing efficiency. The slice thickness of the adaptive layering is not a constant, but is determined by the geometry of the model and the machining accuracy. The layer thickness will be automatically adjusted according to the surface complexity of the workpiece model to be processed, so that the surface is complex and severely inclined with large curvature. Models with smaller layer thicknesses have more layers, while models with simple surfaces have correspondingly fewer layers. The adaptive layering algorithm adopts the variable layer thickness, which reduces the step error to a certain extent and solves the contradiction between the machining accuracy and the efficiency during processing, but no matter how small the layer thickness is, the step effect cannot be completely eliminated, and it is impossible to Make sure that the layered plane passes through all model features, resulting in model features not being printed or the position of the features being offset, which cannot handle missing and offset features. Therefore, under the same surface quality, adaptive layering can obtain fewer layers than equal-thickness layering, so the processing efficiency is higher. However, most of the current adaptive layering algorithms mainly study the relationship between layer height and step error, and there are still few solutions to the problem of model feature offset and loss. Therefore, there is an urgent need to propose an improved adaptive layering method that effectively solves the problem of model feature offset, so as to further reduce the step effect and solve the problem of feature offset and loss.
发明内容SUMMARY OF THE INVENTION
鉴于以上所述现有技术的缺点,本发明的目的在于提供一种防止3D打印模型特征偏移的自适应分层方法,用于解决现有技术中出现台阶效应,特征偏移和丢失的问题。In view of the above-mentioned shortcomings of the prior art, the purpose of the present invention is to provide an adaptive layering method for preventing the feature offset of 3D printing models, so as to solve the problems of step effect, feature offset and loss in the prior art .
为实现上述目的及其他相关目的,本发明提供一种防止3D打印模型特征偏移的自适应分层方法,所述防止3D打印模型特征偏移的自适应分层方法包括:建立三维模型,对所述三维模型进行网格化处理,以生成STL文件;读取所述STL文件,并对从所述STL文件中读取的数据进行预处理操作,以得到预处理后的数据;利用所述预处理后的数据,识别网格化处理后的三维模型上特征高度,得到一组高度数据h;对相邻的特征高度之间进行间距调节,即对所述高度数据h进行调节;在所述特征高度的位置进行分层切片,在相邻的特征高度之间采用顶尖高度法进行自适应分层,获得切片轮廓信息;根据所述切片轮廓信息和G代码格式生成打印文件,打印3D模型。In order to achieve the above object and other related objects, the present invention provides an adaptive layering method for preventing the feature offset of 3D printing model, and the adaptive layering method for preventing the feature offset of 3D printing model includes: establishing a three-dimensional model; The three-dimensional model is meshed to generate an STL file; the STL file is read, and a preprocessing operation is performed on the data read from the STL file to obtain preprocessed data; using the The preprocessed data is used to identify the feature heights on the gridded three-dimensional model to obtain a set of height data h; to adjust the spacing between adjacent feature heights, that is, to adjust the height data h; Perform layered slicing at the position of the described feature height, and use the tip height method to perform adaptive layering between adjacent feature heights to obtain slice outline information; generate a print file according to the slice outline information and G code format, and print the 3D model. .
在本发明的一实施例中,存储于所述三维模型的文件包括STL文件、AMF文件、OBJ文件、STEP文件、3MF文件、IGES文件、LEAF文件、RPI文件、RP文件。In an embodiment of the present invention, the files stored in the three-dimensional model include STL files, AMF files, OBJ files, STEP files, 3MF files, IGES files, LEAF files, RPI files, and RP files.
在本发明的一实施例中,所述识别所述三维模型上特征高度,得到一组高度数据包括:In an embodiment of the present invention, the identifying the feature height on the three-dimensional model to obtain a set of height data includes:
所述三维模型的基本特征包括特征点、特征线以及特征面;The basic features of the three-dimensional model include feature points, feature lines and feature surfaces;
特征面,平行于分层平面的三角面片即为特征面,当所述三角面片的三个顶点的Z坐标均相同时,即判定所述三角面片为特征面,特征高度为三角面片的三个顶点中的某一顶点的Z坐标;Characteristic face, the triangular facet parallel to the layered plane is the characteristic face. When the Z coordinates of the three vertices of the triangular facet are the same, the triangular facet is determined to be the feature face, and the feature height is the triangular facet. The Z coordinate of one of the three vertices of the slice;
特征线,两个相邻三角面片有且只有它们共同的两个顶点的Z坐标相同,并且这两个三角面片的二面角大于阈值,两个顶点之间的连线为特征边,特征高度为所述特征边上某一顶点的Z坐标,二面角通过两个相邻三角面片的法向量计算获得,阈值通过公式(1)确定:Characteristic line, two adjacent triangular patches have the same Z-coordinates of only two vertices in common, and the dihedral angle of these two triangular patches is greater than the threshold, and the connection between the two vertices is a characteristic edge, The feature height is the Z coordinate of a vertex on the feature edge, the dihedral angle is calculated from the normal vectors of two adjacent triangular faces, and the threshold is determined by formula (1):
其中,为特征边阈值,β为STL文件中所有网格边对应的二面角的均值,λ=log(Facetres),Facetres为CAD模型中对生成的STL网格模型精度的控制参数;in, is the feature edge threshold, β is the mean value of the dihedral angles corresponding to all mesh edges in the STL file, λ=log(Facetres), and Facetres is the control parameter in the CAD model for the accuracy of the generated STL mesh model;
特征点,若其中一个三角面片的某一个顶点P的Z坐标高于或低于所有以顶点P为顶点的三角面片的另外两个顶点的Z坐标,则顶点P为特征点,特征高度为顶点P的Z坐标。Feature point, if the Z coordinate of a vertex P of one of the triangular patches is higher or lower than the Z coordinates of the other two vertices of all triangular patches with vertex P as the vertex, then vertex P is the feature point, and the feature height is the Z coordinate of vertex P.
在本发明的一实施例中,对相邻的特征高度之间进行间距调节,即对所述高度数据h进行调节包括:In an embodiment of the present invention, adjusting the spacing between adjacent feature heights, that is, adjusting the height data h includes:
对一组高度数据h进行预处理,在所述高度数据h的首部、尾部分别插入高度为0的层高数据、三维模型最大高度的层高数据,所述高度为0的层高数据、三维模型最大高度的层高数据均为边界层高,分别检测两个边界层高与其相邻层高的间距是否小于最小层厚,如果小于最小层厚,则调节相邻层高,使边界层高与其相邻层高的间距等于最小层厚,重新升序排序高度数据h,检测调节后的层高与对应的边界层高之间是否存在层高,如果存在层高,则删除存在的层高;A set of height data h is preprocessed, and the height data with a height of 0 and the floor height data with the maximum height of the 3D model are inserted into the head and tail of the height data h respectively, and the floor height data with a height of 0, the 3D model are respectively inserted. The layer height data of the maximum height of the model are all boundary layer heights. Check whether the distance between the two boundary layer heights and their adjacent layer heights is less than the minimum layer thickness. If it is less than the minimum layer thickness, adjust the adjacent layer height to make the boundary layer height. The distance between the adjacent layer heights is equal to the minimum layer thickness, re-sort the height data h in ascending order, and detect whether there is a layer height between the adjusted layer height and the corresponding boundary layer height, and if there is a layer height, delete the existing layer height;
给定3D打印机的最大分层厚度hmax和最小分层厚度hmin,对所述边界层高之间的特征高度采用逐个遍历的方法进行检查,查找两个相邻的特征高度之间的间距是否存在小于最小层厚,如果小于最小层厚,则对两个相邻的特征高度进行调节得到特征高度调节结果,特征高度进行调节的方法具体如下:Given the maximum layer thickness h max and the minimum layer thickness h min of the 3D printer, the feature heights between the boundary layer heights are checked one by one using a traversal method to find the distance between two adjacent feature heights Whether there is a layer thickness smaller than the minimum layer thickness, if it is smaller than the minimum layer thickness, adjust the height of two adjacent features to obtain the feature height adjustment result. The method of adjusting the feature height is as follows:
两个相邻的特征高度之间的高度差为d;The height difference between two adjacent feature heights is d;
向内合并:如果d≤hmin/2,将两切片层均向内偏移d/2,即合并两个层面;Merge inward: If d≤h min /2, shift both slice layers inward by d/2, that is, merge the two layers;
向外扩张:如果d>hmin/2,将两切片层分别向外偏移|d-hmin|/2;Outward expansion: if d>h min /2, the two slice layers are shifted outward by |dh min |/2;
根据所述特征高度调节结果,以及四个相邻的层高即进行调节的两个相邻的特征高度b和c,以及分别与进行调节的两个相邻的特征高度b和c相邻的两个层高a和f的最大高度差dmax,判断两个相邻的特征高度b和c在进行向内偏移或向外偏移的高度调节后,是否会对与进行调节的两个相邻的特征高度b和c相邻的两个层高a和f产生影响,如果有影响,则针对向内合并、向外扩张和特征密集的不同情形进行高度调节,其中,高度调节方法如下:According to the feature height adjustment result, and four adjacent layer heights, namely, two adjacent feature heights b and c to be adjusted, and two adjacent feature heights b and c to be adjusted, respectively The maximum height difference d max of the two layer heights a and f, to determine whether the two adjacent feature heights b and c will be adjusted to the two adjacent feature heights b and c after the inward offset or outward offset height adjustment. Adjacent feature heights b and c have an impact on the two adjacent layer heights a and f. If there is an impact, the height adjustment is performed for different situations of inward merging, outward expansion and feature density. The height adjustment method is as follows :
向内合并进行高度调节;Merge inwards for height adjustment;
向内合并中间的两个相邻的特征高度b和c,合并后的层高e与其相邻的两个层高的层高差分别为d1和d2中,至少有一个仍小于最小分层厚度hmin;Inwardly merge the two adjacent feature heights b and c in the middle, the height difference between the merged layer height e and its two adjacent layer heights is d 1 and d 2 respectively, at least one of them is still smaller than the minimum score. layer thickness h min ;
1)、若hmin≤dmax<2·hmin,则d1和d2均小于hmin,则删除合并后的层高e;1) If h min ≤ d max <2·h min , then both d 1 and d 2 are less than h min , delete the merged layer height e;
2)、若dmax≥2·hmin,则d1和d2中只有一个小于hmin,如果为d1,调节合并后的层高e,使得d1=hmin;如果为d2,调节合并后的层高e,使得d2=hmin;2) If d max ≥ 2·h min , only one of d 1 and d 2 is smaller than h min , if it is d 1 , adjust the combined layer height e so that d 1 =h min ; if it is d 2 , Adjust the combined layer height e so that d 2 =h min ;
向外扩张进行高度调节;Expand outward for height adjustment;
向外扩张中间的两个相邻的特征高度b和c,偏移后的两个层高与各自相邻层高的层高差d1和d2中,至少有一个仍小于最小分层厚度hmin;The two adjacent feature heights b and c in the middle of the outward expansion, at least one of the layer height differences d 1 and d 2 between the two offset layer heights and the respective adjacent layer heights is still smaller than the minimum layer thickness hmin ;
1)、若dmax<3·hmin,则d1和d2均小于hmin,向外扩张转变为向内合并,按照向内合并进行高度调节处理;1) If d max <3·h min , then both d 1 and d 2 are less than h min , the outward expansion is transformed into inward merging, and height adjustment is performed according to the inward merging;
2)、若dmax≥3·hmin,则d1和d2中只有一个小于hmin,如果为d1,调节扩张后的层高,保持其间距为hmin的同时,使得d1=hmin;如果为d2,调节扩张后的层高,保持其间距为hmin的同时,使得d2=hmin;2) If d max ≥ 3·h min , then only one of d 1 and d 2 is smaller than h min , if it is d 1 , adjust the height of the expanded layer and keep its distance at h min , so that d 1 = h min ; if it is d 2 , adjust the height of the layer after expansion, and keep the distance between them as h min to make d 2 =h min ;
特征密集进行高度调节;Feature dense for height adjustment;
四个连续相邻的层高中,最高的层高与最低的层高的高度差d小于最小分层厚度hmin,删除中间层高,分别查找四个层高中最高层高和最低层高的相邻层高,重新对这四个层高进行判断,如果仍存在向内合并、向外扩张和特征密集问题,使用相应的高度调节进行处理;如果不存在向内合并、向外扩张和特征密集问题,则结束高度调节,对后续层高进行查找。For four consecutive adjacent high schools, the height difference d between the highest and the lowest layer heights is less than the minimum layer thickness h min , delete the middle layer heights, and find the phases with the highest and lowest layer heights in the four high-level high schools respectively. For the height of adjacent layers, re-judge the heights of these four layers. If there are still problems of inward merging, outward expansion and feature density, use the corresponding height adjustment for processing; if there are no inward merging, outward expansion and feature density If there is a problem, end the height adjustment and search for the subsequent layer height.
在本发明的一实施例中,对相邻的特征高度之间进行间距调节,即对所述高度数据h进行调节包括:所述特征密集即为在一组高度数据h中,存在三个及以上的连续特征高度,最高层高与最低层高之间的高度差小于最小分层厚度hmin。In an embodiment of the present invention, adjusting the spacing between adjacent feature heights, that is, adjusting the height data h includes: the feature density is that in a set of height data h, there are three and more For the continuous feature heights above, the height difference between the highest story height and the lowest story height is less than the minimum layer thickness h min .
在本发明的一实施例中,在所述特征高度的位置进行分层切片,在相邻的特征高度之间采用顶尖高度法进行自适应分层,获得切片轮廓信息包括:In an embodiment of the present invention, layered slicing is performed at the position of the feature height, and adaptive layering is performed between adjacent feature heights using a tip height method, and obtaining slice outline information includes:
在调节后的高度数据h中,依次取出两个相邻高度,并对两个相邻高度间的模型采用顶尖高度法进行自适应分层,顶尖高度法即为实际制造零件表面与CAD模型表面的最大距离,STL网格模型的三角面片为直角三角形的斜边,斜边上的高即为顶尖高度d;In the adjusted height data h, two adjacent heights are taken out in turn, and the model between the two adjacent heights is adaptively layered using the top height method. The top height method is the surface of the actual manufactured part and the surface of the CAD model. The maximum distance of , the triangular face of the STL mesh model is the hypotenuse of a right triangle, and the height on the hypotenuse is the top height d;
直角三角形垂直向上的直角边的计算方法如下:The right-angled side of a right-angled triangle is calculated as follows:
其中,h为当前层的分层厚度,为三角面片的法向量,为分层方向,垂直向上,θ为和的夹角,范围为0~π;where h is the layer thickness of the current layer, is the normal vector of the triangular patch, is the layering direction, vertically upward, and θ is and The included angle ranges from 0 to π;
遍历与STL网格模型的三角面片为分层面相交的所有三角面片,找到最小分层厚度hmin,若最小分层厚度hmin低于或高于3D打印机的打印范围,则将最小分层厚度hmin改为最小层厚或最大层厚;将最小分层厚度hmin与分层面的高度l即直角三角形斜边上的高相加得到当前层分层平面的高度l′=h+l,直至得到对STL网格模型自适应分层的一系列层高;Traverse all the triangular patches intersecting with the STL mesh model as a layered layer, and find the minimum layer thickness h min , if the minimum layer thickness h min is lower than or higher than the printing range of the 3D printer, the minimum layer thickness h min will be determined. The layer thickness h min is changed to the minimum layer thickness or the maximum layer thickness; the minimum layer thickness h min and the layer height l, that is, the height on the hypotenuse of the right triangle, are added to obtain the current layer layer plane height l′=h+ l, until a series of layer heights for adaptive layering of the STL grid model are obtained;
在两个相邻的特征高度a和b间进行自适应分层时,当d<2·hmin时,间距过小,无法进行自适应分层,结束对a和b间的自适应分层;d表示两个相邻的特征高度之间的高度差;当d≥2·hmin时,对a和b间进行自适应分层,确定分层平面高度时,计算当前分层平面距b的距离d′,若小于最小分层厚度hmin,则调节此分层平面的层高,使d′=hmin;调节后此分层平面距上一相邻的分层平面的距离小于最小分层厚度hmin,则删除此分层平面。When adaptive layering is performed between two adjacent feature heights a and b, when d < 2 h min , the distance is too small to perform adaptive layering, and the adaptive layering between a and b is ended. ; d represents the height difference between two adjacent feature heights; when d ≥ 2 h min , perform adaptive layering between a and b, and calculate the distance between the current layered plane b when the layered plane height is determined If it is less than the minimum layer thickness h min , adjust the layer height of this layer plane to make d′=h min ; after adjustment, the distance between this layer plane and the previous adjacent layer plane is less than the minimum layer height layer thickness h min , this layer plane is deleted.
如上所述,本发明的一种防止3D打印模型特征偏移的自适应分层方法,具有以下有益效果:As described above, an adaptive layering method for preventing the feature offset of 3D printing models of the present invention has the following beneficial effects:
本发明的防止3D打印模型特征偏移的自适应分层方法,保证了分层平面经过模型特征所在位置,从而保留三维模型特征,能够有效防止3D打印模型打印过程中因材料逐层累加导致的特征偏移和丢失,减小阶梯误差。The self-adaptive layering method for preventing the offset of 3D printing model features of the present invention ensures that the layered plane passes through the position of the model features, thereby retaining the three-dimensional model features, and can effectively prevent the layer-by-layer accumulation of materials during the printing process of the 3D printing model. Feature offset and loss, reducing step errors.
本发明兼顾打印件表面精度和打印效率,在保证打印精度前提下,通过顶尖高度自适应分层方法尽可能减少了分层层数,从而减小内存占用及加工时间,提高打印加工效率。The invention takes into account the surface accuracy of the printed part and the printing efficiency, and under the premise of ensuring the printing accuracy, the number of layered layers is reduced as much as possible through the self-adaptive layering method of the tip height, thereby reducing the memory occupation and processing time, and improving the printing processing efficiency.
本发明给出了特征高度识别方法和特征高度之间的间距调节方法,尽可能减小加工件的台阶效应,提高加工质量,本发明将处理后的切片截面轮廓信息,输入快速成型加工设备中,形成模型加工轨迹,对进一步推广3D打印技术在实际中的应用具有重要意义。The invention provides a feature height identification method and a spacing adjustment method between the feature heights, so as to reduce the step effect of the workpiece as much as possible and improve the processing quality. The invention inputs the processed slice section profile information into the rapid prototyping processing equipment , forming a model processing trajectory, which is of great significance for further promoting the application of 3D printing technology in practice.
本发明简单高效,具有较强的通用性和实用性,应用范围广泛。The invention is simple and efficient, has strong versatility and practicability, and has a wide range of applications.
附图说明Description of drawings
图1为本申请实施例提供的防止3D打印模型特征偏移的自适应分层方法的流程示意图;1 is a schematic flowchart of an adaptive layering method for preventing 3D printing model feature offset provided by an embodiment of the present application;
图2为本申请实施例提供的一个三维模型,其中1、2、3为对应的特征处;FIG. 2 is a three-dimensional model provided by an embodiment of the present application, wherein 1, 2, and 3 are corresponding features;
图3为本申请实施例提供的模型特征,包含特征面、特征线和特征点;3 is a model feature provided by an embodiment of the present application, including feature surfaces, feature lines and feature points;
图4为本申请实施例提供的特征高度调节方法向内合并示意图;4 is a schematic diagram of inward merging of a feature height adjustment method provided by an embodiment of the present application;
图5为本申请实施例提供的特征高度调节方法向外扩张示意图;5 is a schematic diagram of the outward expansion of the feature height adjustment method provided by the embodiment of the present application;
图6为本申请实施例提供的特征高度调节后存在的向内合并问题示意图;6 is a schematic diagram of an inward merging problem existing after feature height adjustment provided by an embodiment of the present application;
图7为本申请实施例提供的特征高度调节后存在的向外扩张问题示意图;7 is a schematic diagram of the outward expansion problem that exists after the feature height adjustment provided by an embodiment of the present application;
图8为本申请实施例提供的特征高度调节后存在的特征密集问题示意图;8 is a schematic diagram of a feature density problem existing after feature height adjustment provided by an embodiment of the present application;
图9为本申请实施例提供的调节后存在的向内合并问题的解决方案示意图;9 is a schematic diagram of a solution to the problem of inward merging existing after adjustment provided by an embodiment of the present application;
图10为本申请实施例提供的调节后存在的向外扩张问题的解决方案示意图;10 is a schematic diagram of a solution to the problem of outward expansion after adjustment provided by an embodiment of the present application;
图11为本申请实施例提供的调节后存在的特征密集问题的解决方案示意图;FIG. 11 is a schematic diagram of a solution to a feature-intensive problem that exists after adjustment provided by an embodiment of the present application;
图12为本申请实施例提供的顶尖高度示意图;FIG. 12 is a schematic diagram of the top height provided by the embodiment of the present application;
图13为本申请实施例提供的等厚分层方法在图2三维模型的1对应的特征处的分层结果图;FIG. 13 is a diagram of the layering result at the feature corresponding to 1 of the three-dimensional model in FIG. 2 by the method for iso-thickness layering provided by the embodiment of the present application;
图14为本申请实施例提供的自适应分层方法在图2三维模型的1对应的特征处的分层结果图;FIG. 14 is a layered result diagram of the adaptive layering method provided by the embodiment of the application at the feature corresponding to 1 of the three-dimensional model in FIG. 2;
图15为本申请实施例提供的防止3D打印模型特征偏移的自适应分层方法在图2三维模型的1对应的特征处的分层结果图;FIG. 15 is a diagram of the layering result at the feature corresponding to 1 of the three-dimensional model in FIG. 2 of the adaptive layering method for preventing the feature offset of the 3D printing model provided by the embodiment of the application;
图16为本申请实施例提供的等厚分层方法在图2三维模型的2对应的特征处的分层结果图;FIG. 16 is a diagram of the layering result at the feature corresponding to 2 of the three-dimensional model in FIG. 2 by the method for iso-thickness layering provided by the embodiment of the application;
图17为本申请实施例提供的自适应分层方法在图2三维模型的2对应的特征处的分层结果图;FIG. 17 is a layered result diagram of the adaptive layering method provided by the embodiment of the application at the feature corresponding to 2 of the three-dimensional model in FIG. 2;
图18为本申请实施例提供的防止3D打印模型特征偏移的自适应分层方法在图2三维模型的2对应的特征处的分层结果图;FIG. 18 is a diagram of the layering result at the feature corresponding to 2 of the three-dimensional model in FIG. 2 by the adaptive layering method for preventing the feature offset of the 3D printing model provided by the embodiment of the application;
图19为本申请实施例提供的等厚分层方法在图2三维模型的3对应的特征处的分层结果图;FIG. 19 is a diagram of the layering result at the feature corresponding to 3 of the three-dimensional model of FIG. 2 by the method for iso-thickness layering provided by the embodiment of the application;
图20为本申请实施例提供的自适应分层方法在图2三维模型的3对应的特征处的分层结果图;FIG. 20 is a layered result diagram of the adaptive layering method provided by the embodiment of the application at the feature corresponding to 3 of the three-dimensional model in FIG. 2;
图21为本申请实施例提供的防止3D打印模型特征偏移的自适应分层方法在图2三维模型的3对应的特征处的分层结果图。FIG. 21 is a diagram of the layering result at the feature corresponding to 3 of the three-dimensional model in FIG. 2 by the adaptive layering method for preventing the feature offset of the 3D printing model provided by the embodiment of the application.
元件标号说明Component label description
S1~S6步骤Steps S1~S6
具体实施方式Detailed ways
以下通过特定的具体实例说明本发明的实施方式,本领域技术人员可由本说明书所揭露的内容轻易地了解本发明的其他优点与功效。本发明还可以通过另外不同的具体实施方式加以实施或应用,本说明书中的各项细节也可以基于不同观点与应用,在没有背离本发明的精神下进行各种修饰或改变。需说明的是,在不冲突的情况下,以下实施例及实施例中的特征可以相互组合。Embodiments of the present invention are described below through specific examples, and those skilled in the art can easily understand other advantages and effects of the present invention from the content disclosed in this specification. The present invention can also be implemented or applied through other different specific embodiments, and various details in this specification can also be modified or changed based on different viewpoints and applications without departing from the spirit of the present invention. It should be noted that the following embodiments and features in the embodiments may be combined with each other under the condition of no conflict.
需要说明的是,以下实施例中所提供的图示仅以示意方式说明本发明的基本构想,遂图式中仅显示与本发明中有关的组件而非按照实际实施时的组件数目、形状及尺寸绘制,其实际实施时各组件的型态、数量及比例可为一种随意的改变,且其组件布局型态也可能更为复杂。It should be noted that the drawings provided in the following embodiments are only used to illustrate the basic concept of the present invention in a schematic way, so the drawings only show the components related to the present invention rather than the number, shape and number of components in actual implementation. For dimension drawing, the type, quantity and proportion of each component can be changed at will in actual implementation, and the component layout may also be more complicated.
本发明使用C++语言,在Visual Studio2017开发环境下实现本发明的方法,最大和最小分层厚度根据实际机器的精度给定,设定为0.1mm和0.3mm,顶尖高度根据需要的精度给定,设定为0.1mm。结合顶尖自适应分层方法,本发明中改进的自适应分层算法的流程图如图1所示。为了进一步说明本方法的优越性,对比分析等厚分层、自适应分层和本发明改进的自适应分层方法得到的分层层数和特征偏移量,说明本发明提出的分层方法可以证经过特征所在高度,能保有效防止模型特征偏移和丢失问题的出现,减小阶梯误差,在特征所在高度以外的地方也能够进行自适应分层,从而在保证打印件表面质量的同时降低分层数量,提高加工效率,为3D打印的实际应用提供一种防止3D打印模型特征偏移的自适应分层方法。本发明默认分层方向与模型三角面片顶点所在的直角坐标系Z轴正方向相同。如果分层方向不同于本发明默认方向,只需将模型所有三角面片顶点的三维坐标转换到以分层方向为Z轴正方向的直角坐标系中,即可使用本发明提出的方法。The present invention uses C++ language to realize the method of the present invention under the development environment of Visual Studio 2017. The maximum and minimum layer thicknesses are given according to the accuracy of the actual machine, and are set to 0.1mm and 0.3mm, and the top height is given according to the required accuracy, Set to 0.1mm. Combined with the top adaptive layering method, the flowchart of the improved self-adaptive layering algorithm in the present invention is shown in FIG. 1 . In order to further illustrate the superiority of the method, the layer number and feature offset obtained by comparing and analyzing the equal-thickness layering, the adaptive layering and the improved adaptive layering method of the present invention are explained, and the layering method proposed by the present invention is explained. It can be proved that through the height of the feature, it can effectively prevent the occurrence of model feature offset and loss, reduce the step error, and can also perform adaptive layering at places other than the height of the feature, so as to ensure the surface quality of the print at the same time. The number of layers is reduced, the processing efficiency is improved, and an adaptive layering method to prevent the feature offset of 3D printing models is provided for the practical application of 3D printing. The default layering direction of the present invention is the same as the positive direction of the Z-axis of the rectangular coordinate system where the vertexes of the triangular facets of the model are located. If the layering direction is different from the default direction of the present invention, the method proposed by the present invention can be used only by converting the three-dimensional coordinates of all triangular facet vertices of the model into a rectangular coordinate system with the layering direction as the positive direction of the Z axis.
根据实际需求,采用三维计算机辅助设计软件生成三维模型,如图2所示,其中圈出的1、2、3为三维模型对应的特征位置,网格化处理三维模型,生成具体的STL格式文件数据。According to the actual needs, the 3D model is generated by using 3D computer-aided design software, as shown in Figure 2, in which the circled 1, 2, and 3 are the characteristic positions corresponding to the 3D model, and the 3D model is meshed to generate a specific STL format file. data.
读取STL文件,并调节顶点Z坐标,对三角面片排序,计算特征线的二面角阈值,进行一系列预处理操作,具体包括以下步骤:Read the STL file, adjust the Z coordinates of the vertices, sort the triangular facets, calculate the dihedral angle threshold of the feature line, and perform a series of preprocessing operations, including the following steps:
读取STL文件Read STL file
根据STL格式读入模型数据,并采用哈希表去除冗余数据。三角面片的顶点存到Point类中,包含了顶点的三维坐标。三角面片存到Face类中,包含了顶点和相邻三角面的信息。为了一次遍历完成对所有特征的判别,在Point类中加入一个判定变量以及在Face类中加入三个判定变量,分别对应三角面的三条边,这些判定变量表示三角面的顶点或边是否已判定。用Mesh类表示一个STL模型,包含了所有的顶点信息(vector<Point>points)和三角面信息(vector<Face>faces)。Read the model data according to the STL format, and use the hash table to remove redundant data. The vertices of the triangular patch are stored in the Point class, which contains the three-dimensional coordinates of the vertices. Triangular patches are stored in the Face class and contain information about vertices and adjacent triangular faces. In order to complete the judgment of all features in one traversal, add a judgment variable to the Point class and add three judgment variables to the Face class, which correspond to the three sides of the triangular face respectively. These judgment variables indicate whether the vertices or edges of the triangular face have been judged. . A STL model is represented by the Mesh class, which contains all vertex information (vector<Point>points) and triangular face information (vector<Face>faces).
调节顶点Z坐标Adjust vertex Z coordinate
因为三维模型上所有顶点Z坐标中的最小值Zmin可能不为0,而本发明的方法使用前提是Zmin的值为0,所以为了保证方法的正确性,需遍历三维模型的所有顶点,若Zmin不为0,则进行调节。调节方法如下:找到模型的Zmin,计算出偏移量Δ=0-Zmin,然后对模型所有顶点的Z坐标都加上Δ。Because the minimum value Z min in the Z coordinates of all vertices on the three-dimensional model may not be 0, and the method of the present invention is used on the premise that the value of Z min is 0, in order to ensure the correctness of the method, it is necessary to traverse all the vertices of the three-dimensional model, If Z min is not 0, adjust it. The adjustment method is as follows: find the Z min of the model, calculate the offset Δ=0-Z min , and then add Δ to the Z coordinates of all the vertices of the model.
三角面片排序Triangular patch sorting
因顶尖高度法需要遍历所有与上一分层平面相交的三角平面,所以为了减少搜索三角面片的时间,将Mesh中的faces进行排序,按照三角面顶点中最小的Z坐标值对faces进行升序排列。此时只需找到faces中第一个顶点最小Z坐标值小于等于给定高度,且最大Z坐标值大于等于给定高度的三角面的角标a;同时找到第一个顶点最小Z坐标值大于给定高度的三角面的角标b,则faces中角标在[a,b)范围内三角面即为要找的三角面。Because the top height method needs to traverse all the triangular planes that intersect with the previous layered plane, in order to reduce the time of searching for triangular faces, sort the faces in the Mesh, and sort the faces in ascending order according to the smallest Z coordinate value in the vertex of the triangular face. arrangement. At this point, you only need to find the corner mark a of the triangular face whose minimum Z coordinate value of the first vertex is less than or equal to the given height, and the maximum Z coordinate value is greater than or equal to the given height; meanwhile, find the minimum Z coordinate value of the first vertex greater than or equal to the given height. Given the angle label b of the triangular face of the height, the triangular face in the range of [a, b) is the triangular face to be found.
计算特征线的二面角阈值Calculate the dihedral angle threshold of the characteristic line
在计算特征线的阈值时,需要获得STL模型中所有网格边对应的二面角的均值β。为了计算β值,需要遍历所有三角面的三个边所对应的二面角,然后求得所有二面角的总和再除以总边数即可得到β。但一条边会被两个三角面所共用,所以会出现重复计算的情况,因此当计算过一条边后,需要把与其相关的两个三角面各自的三个判定变量中,对应于此边的判定变量置为真,这样,当计算到某一个三角面的某一边时,如果三角面中对应于此边的判定变量为真,则跳过对此边二面角的计算,从而防止出现重复计算的情况。在计算完β的值后,为了不影响后续对特征边的判定,将所有三角面中的所有判定变量全部置为假。When calculating the threshold of the characteristic line, it is necessary to obtain the mean value β of the dihedral angles corresponding to all the mesh edges in the STL model. In order to calculate the β value, it is necessary to traverse the dihedral angles corresponding to the three sides of all triangular faces, and then obtain the sum of all the dihedral angles and divide by the total number of sides to obtain β. However, one edge will be shared by two triangular faces, so there will be repeated calculation. Therefore, when an edge is calculated, it is necessary to use the three judgment variables of the two related triangular faces, corresponding to this edge. The decision variable is set to true, so that when a certain side of a certain triangular face is calculated, if the decision variable corresponding to this side in the triangular face is true, the calculation of the dihedral angle of this side is skipped, thereby preventing repetitions. calculation situation. After calculating the value of β, in order not to affect the subsequent judgment of the feature edge, all judgment variables in all triangular faces are set to false.
判定模型上三角面、边、顶点等特征,识别特征所在高度,得到一组有序的高度数据,确定特征高度具体包括以下步骤:Determine the features such as triangular faces, edges, and vertices on the model, identify the height of the feature, and obtain a set of ordered height data. Determining the feature height specifically includes the following steps:
(1)通过遍历一次Mesh中的faces完成对模型中所有的三角面、边、顶点等特征的判定。模型特征是指三维模型上可以表征模型形状特点且非平滑过渡的部分。图3所示的模型包括特征点、特征线和特征面在内的基本特征。当遍历到某个三角面时,对三角面及边和顶点依次进行特征面、特征线、特征点的判定,若其中一个判定为真,则不进行后续的判定;之后得到的特征高度若不在特征高度序列h中,则将其存入h中。其中,识别特征面、特征线、特征点的具体方法如下:(1) Complete the determination of all triangular faces, edges, vertices and other features in the model by traversing the faces in the Mesh once. Model features refer to the part of the 3D model that can characterize the shape of the model and has a non-smooth transition. The model shown in Figure 3 includes basic features including feature points, feature lines and feature surfaces. When a triangular face is traversed, the characteristic face, characteristic line and characteristic point are judged on the triangular face, edges and vertices in turn. If one of them is judged to be true, no subsequent judgment is made; if the obtained feature height is not In the feature height sequence h, it is stored in h. Among them, the specific methods for identifying feature surfaces, feature lines, and feature points are as follows:
特征面:平行于分层平面的三角面片即为特征面,如图3中3、4。那么当三角面片的三个顶点Z坐标相同时,即判定此三角面为特征面,特征高度为其某一顶点的Z坐标。Feature surface: The triangular surface parallel to the layered plane is the feature surface, as shown in Figure 3, 3 and 4. Then, when the Z coordinates of the three vertices of the triangular face are the same, it is determined that the triangular face is a characteristic face, and the characteristic height is the Z coordinate of a vertex.
特征线:两个夹角大于规定阈值且均不为特征面的面交线即为特征线,且此交线垂直于分层方向,如图3中1、2、5、6。两个相邻三角面片有且只有它们共同的两个顶点的Z坐标相同,并且这两个三角面片的二面角大于一定的阈值,特征高度为特征边上某一顶点的Z坐标。二面角可通过两个三角面的法向量计算获得,特征边阈值确定公式如下,Characteristic line: The intersection line of two surfaces whose included angle is greater than the specified threshold and neither is a characteristic surface is the characteristic line, and this intersection line is perpendicular to the layering direction, as shown in Figure 3 1, 2, 5, and 6. Two adjacent triangular patches have the same Z coordinate only if they have two common vertices, and the dihedral angle of these two triangular patches is greater than a certain threshold, and the feature height is the Z coordinate of a vertex on the feature edge. The dihedral angle can be obtained by calculating the normal vectors of the two triangular faces. The formula for determining the threshold value of the characteristic edge is as follows:
其中,为特征边阈值,β为STL文件中所有网格边对应的二面角的均值,λ=log(Facetres),Facetres为CAD模型中对生成的STL网格模型精度的控制参数;in, is the feature edge threshold, β is the mean value of the dihedral angles corresponding to all mesh edges in the STL file, λ=log(Facetres), and Facetres is the control parameter in the CAD model for the accuracy of the generated STL mesh model;
特征点:在分层方向上,局部最高或最低点为特征点,如图3中7。若顶点P的Z坐标高于或低于所有以顶点P为顶点的三角面的另外两个顶点的Z坐标,则顶点P为特征点,特征高度为顶点P的Z坐标。Feature point: In the layering direction, the local highest or lowest point is the feature point, as shown in Figure 3 7. If the Z-coordinate of vertex P is higher or lower than the Z-coordinates of the other two vertices of all triangular faces with vertex P as the vertex, then vertex P is the feature point, and the feature height is the Z-coordinate of vertex P.
(2)特征判定结束后,将三角面的三个顶点Point中的判定变量置为真;且将三角面中的三个判定变量置为真;再将分别与三条边相关的另外三个三角面中对应于相应边的判定变量置为真。同时,在判定过程中,如果顶点Point中的判定变量为真,或三角面中对应于某一边的判定变量为真,则不对此顶点或边进行判定以及后续操作。(2) After the feature judgment is completed, set the judgment variables in the three vertices Point of the triangular face to true; and set the three judgment variables in the triangular face to true; and then set the other three triangles related to the three sides respectively. The decision variable corresponding to the corresponding edge in the face is set to true. At the same time, in the judgment process, if the judgment variable in the vertex Point is true, or the judgment variable corresponding to an edge in the triangular face is true, the judgment and subsequent operations are not performed on this vertex or edge.
(3)循环特征判定过程,直到遍历结束。最后,对特征高度序列h进行升序排序。(3) Loop feature determination process until the end of traversal. Finally, sort the feature height sequence h in ascending order.
相邻特征高度间进行间距调节,即对步骤3中的特征高度序列h进行调节,避免特征偏移和丢失,具体步骤如下:Adjust the spacing between adjacent feature heights, that is, adjust the feature height sequence h in
(1)首先对有序特征高度序列h进行预处理。3D打印机有最大和最小可打印厚度,也称最大分层厚度hmax和最小分层厚度hmin。若模型在某一高度区间内特征较为密集,则在对特征进行识别定位后得到的一组有序的高度数据中,就可能出现相邻两个高度的高度差d小于最小分层厚度hmin。由于打印是从低到高堆积而成,那么较高的分层平面上的轮廓信息就无法打印,所以需要对这两个高度进行调节。为了保证打印出的模型高度不变,且第一层和最后一层可以打印,需要对有序的特征高度序列h进行预处理。预处理方法如下:先在序列h的首部和尾部插入高度为0和模型最大高度的层高数据(称这两个层高为边界层高)。然后分别检测这两个边界层高与其相邻层高的间距是否小于最小层厚,若小于,则调节相邻层高,使间距等于最小层厚。再重新升序排序序列h,检测调节后的层高与对应边界层高之间是否存在层高,若有,则删去这些层高。(1) First, preprocess the ordered feature height sequence h. 3D printers have maximum and minimum printable thicknesses, also called maximum layer thickness hmax and minimum layer thickness hmin . If the model has dense features in a certain height interval, in a set of ordered height data obtained after identifying and locating the features, it may appear that the height difference d between two adjacent heights is less than the minimum layer thickness h min . Since the printing is stacked from low to high, the contour information on the higher layered plane cannot be printed, so these two heights need to be adjusted. In order to ensure that the height of the printed model remains unchanged, and the first and last layers can be printed, the ordered feature height sequence h needs to be preprocessed. The preprocessing method is as follows: firstly insert the layer height data with a height of 0 and the maximum height of the model at the head and tail of the sequence h (called these two layer heights as boundary layer heights). Then check whether the distance between the two boundary layer heights and their adjacent layer heights is smaller than the minimum layer thickness. If it is smaller, adjust the adjacent layer heights to make the distance equal to the minimum layer thickness. Then re-sort the sequence h in ascending order to detect whether there are layer heights between the adjusted layer height and the corresponding boundary layer height, and if so, delete these layer heights.
(2)预处理完成后,对有序特征高度序列h采用逐个遍历的方法进行检查,查找是否存在间距小于最小层厚的两个相邻高度,及另外两个各自相邻的高度,计算出四个相邻的层高(高度差小于最小层厚的两个层高,以及这两个层高各自的另外一个相邻层高)的最大高度差dmax,并判定其需要进行向内合并还是向外扩张操作,对这两个高度进行调节。调节方法如图4、图5所示,具体操作过程如下:(2) After the preprocessing is completed, the ordered feature height sequence h is checked by traversing one by one to find out whether there are two adjacent heights with a spacing smaller than the minimum layer thickness, and the other two adjacent heights, and calculate The maximum height difference d max of four adjacent storey heights (the two storey heights whose height difference is less than the minimum storey thickness, and the other adjacent storey heights of these two storey heights), and it is determined that it needs to be merged inward Or the outward expansion operation, adjust these two heights. The adjustment method is shown in Figure 4 and Figure 5, and the specific operation process is as follows:
向内合并:若高度差d≤hmin/2,将两切片层都向内偏移d/2,即合并两个层面。Merge inward: If the height difference d≤h min /2, shift both slice layers inward by d/2, that is, merge the two slices.
向外扩张:若高度差d>hmin/2,将两切片层分别向外偏移|d-hmin|/2。Outward expansion: If the height difference d > h min /2, the two slice layers are shifted outward by |dh min |/2.
(3)然后,根据判定的高度调节结果和高度差dmax,判断这两个相邻的特征高度在进行向内合并或向外扩张的高度调节后,是否会对各自相邻高度产生影响。其中,两个被调节的高度上下可能仍有其他相邻的特征高度,则调节后的高度就可能对相邻的上下两个特征高度产生影响,产生的影响具体的表现如图6、图7、图8所示:(3) Then, according to the determined height adjustment result and the height difference d max , determine whether the two adjacent feature heights will affect their respective adjacent heights after the inward merging or outward expansion height adjustment is performed. Among them, the two adjusted heights may still have other adjacent feature heights, and the adjusted heights may have an impact on the adjacent upper and lower feature heights. The specific performance of the impact is shown in Figure 6 and Figure 7 , as shown in Figure 8:
向内合并后,合并后的层高a与其相邻的两个层高b、c的层高差d1、d2中,至少有一个仍小于最小分层厚度。After inward merging, at least one of the layer height differences d 1 and d 2 between the combined layer height a and its two adjacent layer heights b and c is still smaller than the minimum layer thickness.
向外扩张后,偏移后的两个层高a、b与各自相邻层高c、d的层高差d1、d2中,至少有一个仍小于最小分层厚度。After the outward expansion, at least one of the layer height differences d 1 and d 2 between the two offset layer heights a and b and the respective adjacent layer heights c and d is still smaller than the minimum layer thickness.
特征高度过于密集,三个或四个连续相邻的高度中,最高的层高与最低的层高的高度差d仍小于最小分层厚度。The feature heights are too dense, and among three or four consecutive adjacent heights, the height difference d between the highest layer height and the lowest layer height is still smaller than the minimum layer thickness.
(4)最后,根据上述步骤(2)判定的高度调节结果和步骤(3)对各自相邻高度产生影响的判断,进行相应调节。若有影响,则再针对向内合并、向外扩张和特征过于密集的不同情形进行调节。取出存在上述三个问题的四个相邻的层高(高度差小于最小层厚的两个层高,以及这两个层高各自的另外一个相邻层高),如图9、图10、图11所示,然后根据不同问题进行相应调整。其中,具体的影响表现及相应的处理方法如下:(4) Finally, according to the height adjustment result determined in the above step (2) and the judgment of the influence on the respective adjacent heights in the step (3), the corresponding adjustment is performed. If there is an impact, it will be adjusted for different situations of inward merging, outward expansion and too dense features. Take out the four adjacent layer heights with the above three problems (the two layer heights whose height difference is less than the minimum layer thickness, and the other adjacent layer heights of these two layer heights), as shown in Figure 9, Figure 10, Figure 11, and then adjust accordingly for different problems. Among them, the specific impact performance and corresponding treatment methods are as follows:
向内合并问题及处理方法:Inward merging problems and solutions:
a.若hmin≤dmax<2·hmin,则在合并中间两层层高b和c后,d1和d2均小于hmin,为了不影响其他特征高度,直接删除合并后的层高e;a. If h min ≤ d max <2·h min , after merging the middle two layers with heights b and c, both d 1 and d 2 are smaller than h min . In order not to affect other feature heights, delete the merged layer directly high e;
b.若dmax≥2·hmin,则在合并中间两层层高b和c后,d1和d2中只有一个小于hmin,假设为d1,调节合并后的层高e,使得d1=hmin。b. If d max ≥ 2·h min , after merging the middle two layers of heights b and c, only one of d 1 and d 2 is less than h min , assuming d 1 , adjust the merged layer height e so that d 1 =h min .
向外扩张问题及处理方法:Outward expansion problems and solutions:
a.若dmax<3·hmin,则在向外扩张后的两层层高b和c,d1和d2均小于hmin,为了不影响其他特征高度,需要调节的层高只能合并,此时,向外扩张问题转变为向内合并问题,按照向内合并问题处理方法进行处理;a. If d max <3·h min , the heights b and c, d 1 and d 2 of the two layers after the outward expansion are all smaller than h min . Merge, at this time, the problem of outward expansion is transformed into the problem of inward merger, and it is dealt with according to the processing method of inward merger problem;
b.若dmax≥3·hmin,则在向外扩张两层层高b和c后,d1和d2中只有一个小于hmin,假设为d1,调节扩张后的层高b,在保持其间距为hmin的同时,使得d1=hmin。b. If d max ≥ 3·h min , after expanding the two storey heights b and c outward, only one of d 1 and d 2 is smaller than h min , assuming d 1 , adjust the expanded storey height b, While keeping their spacing h min , let d 1 =h min .
特征高度过于密集问题及处理方法:Feature height is too dense problem and processing method:
特征高度过于密集,三个或四个连续相邻的高度中,最高的层高与最低的层高的高度差d仍小于最小分层厚度。dmax<hmin,为了不影响其它特征高度,直接删除中间层高,之后分别查找原始的四个层高中最高层高和最低层高的相邻层高,重新对这四个层高进行判断,如果仍存在上述的三种问题,则使用对应的解决方法处理;如果没有,则结束调节,继续对后续层高进行查找。The feature heights are too dense, and among three or four consecutive adjacent heights, the height difference d between the highest layer height and the lowest layer height is still smaller than the minimum layer thickness. d max <h min , in order not to affect other feature heights, delete the middle layer height directly, then search for the adjacent layer heights of the highest and lowest layer heights of the original four-layer high school respectively, and re-judge the four layer heights , if the above three problems still exist, use the corresponding solution; if not, end the adjustment and continue to search for the subsequent layer heights.
在特征高度处分层切片后,再在每两个相邻特征高度之间采用顶尖高度法进行自适应分层,获得切片轮廓信息。其中,顶尖高度法的具体描述如下所示:After layering and slicing at the feature height, adaptive layering is performed between every two adjacent feature heights using the top height method to obtain slice contour information. Among them, the specific description of the top height method is as follows:
所述特征高度处指的就是经过步骤S3和步骤S4后得到的一系列数值,这些数值表示距离模型底部的高度,也就是模型特征相对于模型底部的高度。它是一个定值,不是一个区间。The feature height refers to a series of numerical values obtained after steps S3 and S4, and these numerical values represent the height from the bottom of the model, that is, the height of the model feature relative to the bottom of the model. It is a fixed value, not an interval.
分层或切片,指的是用一个无限大平面(称为分层平面)在模型的某一位置上与模型相交,得到所需要的模型的轮廓信息,简单说相当于用一把刀去切模型,会得到一个很平横截面,横截面的轮廓就是我要的信息。这个平面是垂直于分层方向,但一般默认分层方向是竖直向上的,所以这个平面一般是水平的。如果分层方向不是竖直的,可以把模型进行旋转,使分层方法变成竖直的,同样可以用本发明的方法。Layering or slicing refers to using an infinite plane (called a layered plane) to intersect the model at a certain position of the model to obtain the required outline information of the model, which is simply equivalent to cutting with a knife Model, will get a very flat cross section, the profile of the cross section is the information I want. This plane is perpendicular to the layering direction, but generally the default layering direction is vertical upward, so this plane is generally horizontal. If the layering direction is not vertical, the model can be rotated to make the layering method vertical, and the method of the present invention can also be used.
在特征高度处分层,就是用一个与模型底部所在水平面的垂直距离为特征高度的水平面与模型相交,得到此处的轮廓信息。Layering at the feature height is to intersect the model with a horizontal plane whose vertical distance from the horizontal plane at the bottom of the model is the feature height to obtain the contour information here.
为了兼顾加工件表面精度和加工效率,且在特征高度之间的模型不用考虑特征问题,对此部分的模型直接采用顶尖高度法进行自适应分层。顶尖高度是指实际制造零件表面与CAD模型表面的最大距离,如图12所示。BC为STL模型的三角面片,AB和AC为打印件表面,AC也为上一分层平面,h为当前层的分层厚度,为三角面片的法向量,为分层方向,θ为和的夹角,范围为0~π,d即为顶尖高度。对应层高计算方法如下公式所示。遍历与分层面BC相交的所有三角面片找到最小的h,若h低于或高于可打印范围,则将h改为最小层厚或最大层厚。之后将h与分层面BC的高度l相加得到当前层分层平面的高度l′=h+l。循环此步骤便得到对模型自适应分层的一系列层高。In order to take into account the surface accuracy and processing efficiency of the workpiece, and the model between the feature heights does not need to consider the feature problem, this part of the model directly adopts the top height method for adaptive layering. The top height refers to the maximum distance between the surface of the actual manufactured part and the surface of the CAD model, as shown in Figure 12. BC is the triangular patch of the STL model, AB and AC are the surface of the printed part, AC is also the previous layer plane, h is the layer thickness of the current layer, is the normal vector of the triangular patch, is the layering direction, and θ is and The included angle ranges from 0 to π, and d is the height of the tip. The corresponding layer height calculation method is shown in the following formula. Traverse all the triangular patches that intersect with the layered layer BC to find the smallest h. If h is lower or higher than the printable range, change h to the minimum layer thickness or the maximum layer thickness. Then, add h to the height l of the layered plane BC to obtain the height l′=h+1 of the layered plane of the current layer. Looping through this step yields a series of layer heights that adaptively layer the model.
注意的是,在两个相邻特征高度a和b间(设b高于a)进行自适应分层时,也要注意a和b的间距问题。Note that when performing adaptive layering between two adjacent feature heights a and b (set b higher than a), pay attention to the spacing between a and b.
(1)当d<2·hmin时,间距过小,无法进行分层,结束对a和b间的自适应分层;(1) When d < 2 h min , the spacing is too small to perform layering, and the adaptive layering between a and b is ended;
(2)当d≥2·hmin时,可以对a和b间进行自适应分层,但每确定一次分层平面高度时,需要计算当前分层平面距b的距离d′,若小于最小分层厚度,则调节此分层平面层高,使得d′=hmin;若调节后此分层平面距上一相邻的分层平面的距离小于最小分层厚度,则删除此分层平面。(2) When d ≥ 2 h min , adaptive stratification can be performed between a and b, but each time the height of the stratified plane is determined, the distance d' from the current stratified plane to b needs to be calculated, if it is less than the minimum Layer thickness, adjust the layer height of this layered plane so that d′= hmin ; if the distance between this layered plane and the previous adjacent layered plane after adjustment is less than the minimum layered thickness, delete this layered plane .
根据切片格式生成对应的打印文件,打印3D模型。选取5个模型,分别用等厚分层、顶尖高度法的自适应分层和本发明改进自适应分层方法进行分层,给定最大和最小分层厚度分别为0.1mm和0.3mm,顶尖高度设定为0.1mm,为了使等厚分层产生的模型特征偏移量达到最小,等厚分层的厚度为0.1mm,得到如表1所示结果,表1为三种分层方法的分层数结果。Generate the corresponding print file according to the slice format, and print the 3D model. Select 5 models and use the equal thickness layering, the adaptive layering method of the top height method and the improved adaptive layering method of the present invention for layering respectively. The given maximum and minimum layer thicknesses are 0.1mm and 0.3mm respectively, The height is set to 0.1mm. In order to minimize the model feature offset caused by the equal thickness layer, the thickness of the equal thickness layer is 0.1mm. The results shown in Table 1 are obtained. Table 1 shows the three layering methods. Stratification results.
表2Table 2
由表1中5种模型的分层结果可看出,自适应分层和本发明方法得到的层数均比等厚分层少。此前大量研究证明自适应分层方法能够有效提高加工效率,而本发明改进自适应方法与传统自适应方法的分层层数相近,说明本发明在两个特征高度之间采用自适应分层方法能够有效减少分层层数,在保证表面精度的前提下能在一定程度上能够提高加工效率。另外,当特征高度数较少时,本发明方法与自适应分层的结果相近,如表1中模型1-3的分层结果;而随着特征高度数增加,本发明方法得到的层数要比自适应分层得到的层数少,进一步提高加工效率。这是因为本发明方法为了保证特征高度处的轮廓可以打印,在特征高度之间的部分采用了顶尖高度法自适应分层,可能会使得与特征高度所在平面相邻且低于其的分层平面的间距接近两倍最小分层厚度,因此相比于自适应分层会少一层分层平面。当特征高度数增多时,这种情况出现的次数会增加,因而本发明方法得到的层数会明显少于自适应分层得到的层数。分层层数的减少可以为后续软件处理和设计加工处理节约内存占用空间和加工时间,提高加工效率。本发明的高度调节方法保证了分层位置经过特征高度,能够有效防止特征偏移和丢失,提升加工质量。From the layering results of the five models in Table 1, it can be seen that the number of layers obtained by the adaptive layering and the method of the present invention is less than that obtained by the equal-thickness layering. A large number of previous studies have proved that the adaptive layering method can effectively improve the processing efficiency, and the improved adaptive method of the present invention has a similar layer number to the traditional adaptive method, indicating that the present invention adopts the adaptive layering method between the two feature heights. The number of layers can be effectively reduced, and the processing efficiency can be improved to a certain extent on the premise of ensuring the surface accuracy. In addition, when the number of feature heights is small, the results of the method of the present invention are similar to the results of adaptive layering, such as the layering results of models 1-3 in Table 1; and as the number of feature heights increases, the number of layers obtained by the method of the present invention The number of layers obtained by self-adaptive layering is less, which further improves the processing efficiency. This is because in order to ensure that the outline at the feature height can be printed, the method of the present invention adopts the adaptive layering of the top height method in the part between the feature heights, which may cause the layering adjacent to and lower than the plane where the feature height is located. The spacing of the planes is close to twice the minimum layer thickness, so there is one less layered plane than adaptive layering. When the number of feature heights increases, the number of occurrences of this situation will increase, so the number of layers obtained by the method of the present invention will be significantly less than the number of layers obtained by adaptive layering. The reduction of the number of layers can save memory space and processing time for subsequent software processing and design processing, and improve processing efficiency. The height adjustment method of the invention ensures that the layered position passes through the feature height, can effectively prevent feature offset and loss, and improve processing quality.
另外,以图2中的三维模型为例,选取三处特征进行比较,细节结果展现如图13至图21所示,特征偏移量如表2所示,表2为三种分层方法的偏移量,实验给定Z坐标的最小最大值分别为0mm,54mm。分别将三种分层方法:等厚分层、顶尖高度法的自适应分层和本发明改进自适应分层方法,得到的轮廓信息存入SLC格式文件中,再分别将这三个文件与原始模型的STL文件一同导入Materialise Magics软件中,并使模型的坐标系与轮廓的坐标系完全重合,通过测量得到模型特征的偏移量。In addition, taking the 3D model in Figure 2 as an example, three features are selected for comparison. The detailed results are shown in Figure 13 to Figure 21, and the feature offsets are shown in Table 2. Table 2 shows the results of the three hierarchical methods. Offset, the minimum and maximum values of the Z coordinate given in the experiment are 0mm and 54mm respectively. Three layering methods are respectively: equal thickness layering, self-adaptive layering of the top height method and the improved self-adaptive layering method of the present invention, and the obtained contour information is stored in the SLC format file, and then the three files are respectively combined with. The STL file of the original model is imported into the Materialise Magics software together, and the coordinate system of the model is completely coincident with the coordinate system of the contour, and the offset of the model features is obtained by measuring.
表2Table 2
由图13至图21展示的特征1-3的特征偏移细节,可以明显看出本发明方法没有产生偏移,另外由于分层面经过特征高度位置,因此也不存在特征丢失问题。表2结果显示本发明方法处理的特征偏移量均为0mm,而对于等厚分层和自适应分层都存在不同程度的偏移,进一步说明该方法优于其他方法,证明本发明改进的自适应分层方法能够有效地防止了模型特征的偏移和丢失,减小阶梯误差。From the feature offset details of features 1-3 shown in FIGS. 13 to 21 , it can be clearly seen that the method of the present invention does not generate offset, and since the layered plane passes through the feature height position, there is no feature loss problem. The results in Table 2 show that the feature offsets processed by the method of the present invention are all 0mm, and there are different degrees of offset for the equal thickness layer and the adaptive layer, which further shows that the method is better than other methods, and proves that the improved method of the present invention The adaptive layering method can effectively prevent the offset and loss of model features and reduce the step error.
综上所述,本发明的防止3D打印模型特征偏移的自适应分层方法,保证了分层平面经过模型特征所在位置,从而保留三维模型特征,能够有效防止3D打印模型打印过程中因材料逐层累加导致的特征偏移和丢失,减小阶梯误差。To sum up, the self-adaptive layering method for preventing 3D printing model feature offset of the present invention ensures that the layered plane passes through the location of the model features, thereby retaining the 3D model features, and can effectively prevent the 3D printing model from being caused by materials during the printing process. The feature offset and loss caused by layer-by-layer accumulation reduce the step error.
上述实施例仅例示性说明本发明的原理及其功效,而非用于限制本发明。任何熟悉此技术的人士皆可在不违背本发明的精神及范畴下,对上述实施例进行修饰或改变。因此,举凡所属技术领域中具有通常知识者在未脱离本发明所揭示的精神与技术思想下所完成的一切等效修饰或改变,仍应由本发明的权利要求所涵盖。The above-mentioned embodiments merely illustrate the principles and effects of the present invention, but are not intended to limit the present invention. Anyone skilled in the art can modify or change the above embodiments without departing from the spirit and scope of the present invention. Therefore, all equivalent modifications or changes made by those with ordinary knowledge in the technical field without departing from the spirit and technical idea disclosed in the present invention should still be covered by the claims of the present invention.
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