TW201632343A - Self-adaptive method of tuning printing direction in printing three-dimension model and system to achieve it - Google Patents

Self-adaptive method of tuning printing direction in printing three-dimension model and system to achieve it Download PDF

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TW201632343A
TW201632343A TW104122602A TW104122602A TW201632343A TW 201632343 A TW201632343 A TW 201632343A TW 104122602 A TW104122602 A TW 104122602A TW 104122602 A TW104122602 A TW 104122602A TW 201632343 A TW201632343 A TW 201632343A
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dimensional printing
model
dimensional
printing model
gravity
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TW104122602A
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TWI638714B (en
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鄭勇平
蔡世光
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英華達股份有限公司
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Abstract

The present disclosure provides a self-adaptive method of tuning printing direction in printing three-dimension model and system to achieve it. The method includes proceeding gravitational rolling simulation on a three-dimension model before printing the three-dimension model, to ensure a stable placing position of the three-dimension model with least supporting portions under gravity, and then setting the three-dimension model based on the stable placing position, to proceed a slicing simulation on the three-dimension model, to ensure a three-dimension printing direction of the three-dimension model, at the end, adopting the three-dimension printing direction of the three-dimension model to print the three-dimension model.

Description

自我調整列印方向的三維模型列印方法及其系 統 Three-dimensional model printing method for self-adjusting printing direction and its system System

本發明係關於三維列印技術,特別是關於一種自我調整列印方向的三維模型列印方法及其系統。 The present invention relates to three-dimensional printing techniques, and more particularly to a three-dimensional model printing method and system thereof for self-adjusting the printing direction.

三維列印是增材製造技術的一種形式,於增材製造技術中,三維列印模型是三維印表機透過輸出連續的物理層創建出來的。三維印表機相對於其他的增材製造技術而言,具有速度快,價格便宜,高易用性等優點。三維印表機是可以列印出真實三維物體的一種設備,功能上與雷射成型技術一樣,採用分層加工、疊加成形的方式,亦即透過逐層增加材料而生成三維列印模型,與傳統的去除材料加工技術完全不同。稱之為三維印表機是參照了噴墨印表機的技術原理,因為分層加工的過程與噴墨印表機的工作原理十分相似。 Three-dimensional printing is a form of additive manufacturing technology. In additive manufacturing technology, a three-dimensional printing model is created by a three-dimensional printer through a continuous physical layer of output. Compared with other additive manufacturing technologies, 3D printers have the advantages of high speed, low price and high ease of use. The 3D printer is a device that can print real three-dimensional objects. It is functionally the same as the laser forming technology. It uses layered processing and superposition forming, which is to create a three-dimensional printing model by adding materials layer by layer. Traditional material removal techniques are completely different. The so-called three-dimensional printer is based on the technical principle of the inkjet printer, because the process of layered processing is very similar to the working principle of the inkjet printer.

目前,三維印表機於進行三維列印模型的列印時,首先,需先取得三維列印模型的三維列印模型數據資料; 然後,再依據三維列印模型的三維列印模型數據資料,採用預先設置的通用列印參數資料,來進行三維列印;最後,得到三維列印模型經列印後所產生的實體成品。 At present, when a three-dimensional printer performs printing of a three-dimensional printing model, firstly, it is necessary to obtain a three-dimensional printing model data of a three-dimensional printing model; Then, according to the three-dimensional printing model data of the three-dimensional printing model, the three-dimensional printing is performed by using the preset universal printing parameter data; finally, the physical finished product produced by the three-dimensional printing model is printed.

在三維印表機的三維列印過程中,三維列印的列印方向與列印時間、列印耗材及列印品質之間都具有很大的關聯性。目前,三維列印模型的三維列印方向都是由三維印表機預先設置,比如設置為從下到上的垂直方向或/和從左到右的水平方向上,依次去列印的方式來列印三維列印模型。但是採用這種方式確定三維列印的方向,皆是預先設定好的,並非針對某一待列印的三維列印模型結構設置的,所以會造成列印品質降低。因此,為了針對某一待列印的三維列印模型結構進行列印,就需要人工來調整三維印表機的三維列印方向,如此一來,不利使用者操作三維印表機且需要繁瑣的過程,造成實現上的困難。 In the three-dimensional printing process of a three-dimensional printer, there is a great correlation between the printing direction of the three-dimensional printing and the printing time, the printing consumables and the printing quality. At present, the three-dimensional printing direction of the three-dimensional printing model is preset by the three-dimensional printer, for example, the vertical direction from bottom to top or/and the horizontal direction from left to right, and the printing method is sequentially followed. Print a 3D print model. However, in this way, the direction of the three-dimensional printing is determined, which is preset, and is not set for a three-dimensional printing model structure to be printed, so that the printing quality is lowered. Therefore, in order to print a three-dimensional printing model structure to be printed, it is necessary to manually adjust the three-dimensional printing direction of the three-dimensional printer, so that the disadvantaged user operates the three-dimensional printer and needs cumbersome The process creates difficulties in implementation.

本發明之一技術態樣是有關於一種自我調整列印方向的三維模型列印方法,三維模型列印方法能夠自適應且調整三維印表機的三維列印方向,操作簡單,易於實現,提高列印品質。此外,本發明也提供一種自我調整列印方向的三維列印系統,系統能夠自適應且調整三維印表機的三維列印方向,操作簡單,易於實現,提高列印品質。 One technical aspect of the present invention relates to a three-dimensional model printing method for self-adjusting the printing direction. The three-dimensional model printing method can adaptively adjust the three-dimensional printing direction of the three-dimensional printer, and the operation is simple, easy to implement, and improved. Print quality. In addition, the present invention also provides a three-dimensional printing system for self-adjusting the printing direction, and the system can adaptively adjust the three-dimensional printing direction of the three-dimensional printer, and the operation is simple, easy to implement, and the printing quality is improved.

根據本發明一或多個實施方式,一種自我調整列印方向的三維模型列印方法包含對三維列印模型進行重力滾 動模擬,確定三維列印模型在重力作用下,使用最少外部支撐之穩定擺放位置;以及根據最少外部支撐之擺放位置模擬擺放三維列印模型後,對三維列印模型進行模擬切片,確定三維列印模型的三維列印方向。 According to one or more embodiments of the present invention, a three-dimensional model printing method for self-adjusting the printing direction includes gravity rolling a three-dimensional printing model Dynamic simulation to determine the stable placement of the 3D printing model under the action of gravity with minimal external support; and simulation of the 3D printing model after simulating the placement of the 3D printing model based on the placement of the least external support, Determine the 3D printing orientation of the 3D printing model.

在本發明一或多個實施方式中,上述之獲得最少外部支撐之位置的步驟包含透過重力滾動模擬,設定三維列印模型自然靜止的靜止擺放位置作為初始位置;將三維列印模型自初始位置開始,透過模擬重力條件下的物體滾動,使得三維列印模型達到自然穩定的穩定擺放位置;以及記錄自然穩定的穩定擺放位置的三維空間坐標,作為最少外部支撐之擺放位置的三維空間坐標。 In one or more embodiments of the present invention, the step of obtaining the position of the least external support comprises: setting the static position of the three-dimensional printing model to be the initial position through the gravity rolling simulation; and the three-dimensional printing model from the initial At the beginning of the position, the object is scrolled under simulated gravity conditions, so that the three-dimensional printing model reaches a natural stable stable position; and the three-dimensional space coordinates of the natural stable stable placement position are recorded as the three-dimensional position of the least external support. Spatial coordinates.

在本發明一或多個實施方式中,上述之進行重力滾動模擬的步驟包含透過判定三維列印模型的重心與重力方向的一致性,結合三維列印模型接觸水平面的特徵來判斷三維列印模型是否能在擺放位置上保持靜止,以及同時預設靜止偏差值(Buffer),當三維列印模型的重心與重力方向的偏差值達到預設的靜止偏差值之範圍內後,確定靜止之三維列印模型的擺放位置。 In one or more embodiments of the present invention, the step of performing the gravity rolling simulation includes determining the three-dimensional printing model by determining the consistency between the center of gravity of the three-dimensional printing model and the direction of gravity, and combining the features of the three-dimensional printing model with the horizontal plane. Whether it can be kept still at the position and preset the static offset value (Buffer). When the deviation between the center of gravity of the three-dimensional printing model and the gravity direction reaches the preset static deviation value, the three-dimensional image is determined. Print the placement of the model.

在本發明一或多個實施方式中,上述之進行重力滾動模擬中,透過模擬重力條件下的物體滾動,具有滾動方向,其中滾動方向的選擇包含以三維列印模型的初始位置之重力方向為中心,繞重力地平面一周360度的平分角度方式來選擇滾動方向,其中重力地平面是以重力方向所在的縱向與三維列印模型的重心所在的橫向之交界點所處的水平面。 In one or more embodiments of the present invention, in the gravity rolling simulation described above, the object scrolling under simulated gravity conditions has a scrolling direction, wherein the selection of the scrolling direction includes the gravity direction of the initial position of the three-dimensional printing model. At the center, the rolling direction is selected by a 360-degree bisector angle around the gravity ground plane, wherein the gravity ground plane is a horizontal plane at which the longitudinal direction where the gravity direction is located and the lateral boundary where the center of gravity of the three-dimensional printing model is located.

在本發明一或多個實施方式中,上述之以三維列印模型的初始位置之重力方向為中心,以繞重力地平面一周360度的平分角度方式來選擇滾動方向的步驟包含:將繞重力地平面一周的360度依預設份數平分,平分後之重力地平面形成複數個區域,複數個區域分別具有區域方向,於區域方向上對三維列印模型進行抛物測試,於重力滾動模擬中,待三維列印模型自然落穩後,記錄三維列印模型的擺放位置之三維空間坐標;對擺放位置的三維空間坐標進行水平平移和旋轉變換後,比對並篩選掉擺放位置中相同的擺放位置,得到篩選後該三維列印模型的擺放位置;以及對篩選後的三維列印模型擺放位置進行預設角度的晃動模擬後,得到篩選後的三維列印模型的擺放位置的穩定度,將穩定度最高的擺放位置作為三維列印模型達到自然穩定的穩定擺放位置。 In one or more embodiments of the present invention, the step of selecting the scrolling direction by the angle of the 360 degrees around the gravity plane centering on the gravity direction of the initial position of the three-dimensional printing model includes: The 360 degree of the ground plane is divided by the preset number of parts, and the gravity ground plane formed by the equal division forms a plurality of areas, and the plurality of areas respectively have the area direction, and the three-dimensional printing model is parabolically tested in the area direction, in the gravity rolling simulation. After the three-dimensional printing model is naturally stabilized, the three-dimensional space coordinates of the position of the three-dimensional printing model are recorded; after the horizontal translation and the rotation transformation are performed on the three-dimensional space coordinates of the placement position, the positioning position is compared and filtered out. The same position is set, and the position of the three-dimensional printing model is obtained after screening; and the swaying simulation of the position of the three-dimensional printing model after the screening is performed, and the pendulum of the three-dimensional printing model is obtained. The stability of the position is set, and the position with the highest stability is used as a three-dimensional printing model to achieve a stable and stable position.

在本發明一或多個實施方式中,上述之進行模擬切片的步驟是對處於穩定擺放位置的三維列印模型進行模擬切片,於對應的每一層切片生成列印控制指令,將列印控制指令轉換為圖形編碼GCode進行列印。 In one or more embodiments of the present invention, the step of performing the simulated slicing is to perform a simulated slicing on the three-dimensional printing model at the stable placement position, and generate a printing control command in each corresponding slice to print the printing control. The instructions are converted to a graphic code GCode for printing.

在本發明一或多個實施方式中,上述之三維模型列印方法,於進行該模擬切片的步驟之前,更包含對三維列印模型進行投影輪廓分析,確定三維列印模型的擺放位置之外部支撐,選定其中外部支撐最優的最優擺放位置作為確定的擺放位置。 In one or more embodiments of the present invention, the three-dimensional model printing method further includes performing projection contour analysis on the three-dimensional printing model to determine the placement position of the three-dimensional printing model before performing the step of simulating the slice. For the external support, the optimal placement position in which the external support is optimal is selected as the determined placement position.

在本發明一或多個實施方式中,上述之對三維列印模型進行投影輪廓分析的步驟包含:a)獲得三維列印模型 於當前角度的投影圖,對投影圖進行輪廓曲線識別;b)根據輪廓曲線識別之結果提出特徵位置,記錄特徵位置對應之三維列印模型的空間位置;c)判斷空間位置是否已經位在三維列印模型中,如果是,則將當前角度替換為下一角度,返回步驟a)執行;如果否,則執行步驟d);d)分析三維列印模型的外輪廓曲面特徵,計算對應之三維列印模型的位置所具有之累積曲面面積;e)判斷所有角度的投影圖都完成,如果是,則執行步驟f);如果否,則將當前角度替換為下一角度,返回步驟a)執行;以及f)將累積曲面面積中最小者所對應的擺放位置選定為外部支撐最優的最優擺放位置作為三維列印模型確定的擺放位置。 In one or more embodiments of the present invention, the step of performing projection contour analysis on the three-dimensional printing model includes: a) obtaining a three-dimensional printing model At the current angle of the projection map, the contour map is identified by the contour curve; b) the feature position is proposed according to the result of the contour curve recognition, and the spatial position of the three-dimensional printing model corresponding to the feature position is recorded; c) determining whether the spatial position is already in the three-dimensional In the print model, if yes, replace the current angle with the next angle, return to step a); if not, perform step d); d) analyze the outer contour surface features of the 3D printing model, and calculate the corresponding 3D Print the cumulative surface area of the model; e) judge the projection of all angles is completed, if yes, perform step f); if not, replace the current angle with the next angle, return to step a) And f) selecting the placement position corresponding to the smallest of the cumulative surface areas as the optimal placement position for the external support as the placement position determined by the three-dimensional printing model.

根據本發明一或多個實施方式,一種自我調整列印方向的三維列印系統包含重力滾動模擬單元以及模擬切片單元。重力滾動模擬單元用於對三維列印模型進行重力滾動模擬,以確定三維列印模型在重力作用下使用最少外部支撐之擺放位置。模擬切片單元用於根據所確定的擺放位置來模擬擺放三維列印模型,接著對三維列印模型進行模擬切片,以確定三維列印模型的三維列印方向。 According to one or more embodiments of the present invention, a three-dimensional printing system that self-adjusts the printing direction includes a gravity scrolling simulation unit and an analog slicing unit. The gravity rolling simulation unit is used for gravity rolling simulation of the three-dimensional printing model to determine the placement position of the three-dimensional printing model under the action of gravity with the least external support. The simulation slicing unit is configured to simulate placing the three-dimensional printing model according to the determined placement position, and then performing simulation slicing on the three-dimensional printing model to determine the three-dimensional printing direction of the three-dimensional printing model.

在本發明一或多個實施方式中,上述之三維列印系統更包含投影輪廓分析單元,用於對三維列印模型的投影輪廓進行分析,以確定三維列印模型的複數個擺放位置分別所需之外部支撐,選定其中外部支撐最優的最優擺放位置作為確定的擺放位置。 In one or more embodiments of the present invention, the three-dimensional printing system further includes a projection contour analyzing unit configured to analyze a projection contour of the three-dimensional printing model to determine a plurality of placement positions of the three-dimensional printing model. For the required external support, the optimal placement position in which the external support is optimal is selected as the determined placement position.

由上述方案可以看出,本發明一實施例在列印三維列印模型實體之前,對三維列印模型進行重力滾動模擬,確定三維列印模型在重力作用下使用最少外部支撐的擺放位置;其次,根據所確定的擺放位置模擬擺放三維列印模型後,對三維列印模型進行模擬切片,確定三維列印模型的三維列印方向;最後,採用所確定的三維列印模型之三維列印方向來列印三維列印模型之實體成品。本發明一實施例之自我調整三維列印方向的系統,操作簡單,易於實現,提高了列印的品質。 It can be seen from the foregoing solution that an embodiment of the present invention performs gravity scrolling simulation on a three-dimensional printing model before printing a three-dimensional printing model entity, and determines a placement position of the three-dimensional printing model using a minimum external support under the action of gravity; Secondly, after simulating the three-dimensional printing model according to the determined placement position, the three-dimensional printing model is simulated and sliced to determine the three-dimensional printing direction of the three-dimensional printing model; finally, the three-dimensional printing model is determined by using the three-dimensional printing model. Print the direction to print the finished product of the 3D printing model. The system for self-adjusting the three-dimensional printing direction according to an embodiment of the invention is simple in operation, easy to implement, and improves the quality of printing.

101~102‧‧‧步驟 101~102‧‧‧Steps

1‧‧‧方向 1‧‧‧ Direction

2‧‧‧方向 2‧‧‧ Direction

3‧‧‧方向 3‧‧‧ Direction

4‧‧‧方向 4‧‧‧ Direction

①‧‧‧位置 1‧‧‧ position

②‧‧‧位置 2‧‧‧ position

③‧‧‧位置 3‧‧‧ position

520‧‧‧曲面 520‧‧‧ Surface

601~609‧‧‧步驟 601~609‧‧‧Steps

720‧‧‧重力滾動模擬單元 720‧‧‧Gravity Rolling Simulation Unit

740‧‧‧投影輪廓分析單元 740‧‧‧Projection Profile Analysis Unit

760‧‧‧模擬切片單元 760‧‧‧Simulation slice unit

為讓本發明之上述和其他目的、特徵、優點與實施例能更明顯易懂,所附圖式之說明如下:第1圖為本發明實施例提供之自我調整列印方向的三維模型列印方法之方法流程圖。 The above and other objects, features, advantages and embodiments of the present invention will become more <RTIgt; <RTIgt; </ RTI> <RTIgt; </ RTI> <RTIgt; Method flow chart of the method.

第2圖為本發明實施例提供的三維列印模型的重心與重力方向的偏差示意圖。 FIG. 2 is a schematic diagram showing deviations between the center of gravity and the direction of gravity of the three-dimensional printing model according to an embodiment of the present invention.

第3圖為本發明實施例提供的重力滾動模擬的滾動方向示意圖。 FIG. 3 is a schematic diagram of a rolling direction of a gravity scroll simulation provided by an embodiment of the present invention.

第4圖為本發明實施例提供在投影角度為位置①、②、③時對三維列印模型的輪廓投影示意圖。 FIG. 4 is a schematic diagram showing contour projection of a three-dimensional printing model when the projection angle is position 1, 2, and 3 according to an embodiment of the present invention.

第5圖為本發明實施例提供的第4圖所示位置①、②、③時三維列印模型與三維列印模型的輪廓投影示意圖。 FIG. 5 is a schematic diagram showing the contour projection of the three-dimensional printing model and the three-dimensional printing model when the positions 1, 2, and 3 shown in FIG. 4 are provided in the embodiment of the present invention.

第6圖為本發明實施例提供的對三維列印模型進行投影輪廓分析的方法流程圖。 FIG. 6 is a flowchart of a method for performing projection contour analysis on a three-dimensional printing model according to an embodiment of the present invention.

第7圖為本發明實施例提供的自我調整列印方向的三維模型列印系統的系統結構示意圖。 FIG. 7 is a schematic diagram showing the system structure of a three-dimensional model printing system for self-adjusting the printing direction according to an embodiment of the present invention.

以下將以圖式揭露本發明之複數個實施方式,為明確說明起見,許多實務上的細節將在以下敘述中一併說明。然而,應瞭解到,這些實務上的細節不應用以限制本發明。也就是說,在本發明部分實施方式中,這些實務上的細節是非必要的。此外,為簡化圖式起見,一些習知慣用的結構與元件在圖式中將以簡單示意的方式繪示之。 The embodiments of the present invention are disclosed in the following drawings, and the details of However, it should be understood that these practical details are not intended to limit the invention. That is, in some embodiments of the invention, these practical details are not necessary. In addition, some of the conventional structures and elements are shown in the drawings in a simplified schematic manner in order to simplify the drawings.

本發明一實施例為了自我調整三維列印的列印方向,從而簡便用戶的操作,且易於實現及提高列印的品質,對三維列印模型的列印過程進行模擬,確定三維列印模型的三維列印方向。具體地說,就是在列印三維列印模型實體之前,對三維列印模型進行重力滾動模擬,確定三維列印模型在重力作用下使用最少外部支撐的擺放位置;其次,根據所確定的擺放位置模擬擺放三維列印模型後,對該三維列印模型進行模擬切片,確定該三維列印模型的三維列印方向;最後,採用所確定的三維列印模型的三維列印方向進行實體列印。 In one embodiment of the present invention, in order to self-adjust the printing direction of the three-dimensional printing, thereby simplifying the operation of the user, and easily implementing and improving the quality of the printing, the printing process of the three-dimensional printing model is simulated, and the three-dimensional printing model is determined. Three-dimensional printing direction. Specifically, before the printing of the three-dimensional printing model entity, the gravity scrolling simulation of the three-dimensional printing model is performed to determine the placement position of the three-dimensional printing model using the least external support under the force of gravity; secondly, according to the determined pendulum After the three-dimensional printing model is placed and placed, the three-dimensional printing model is simulated and sliced to determine the three-dimensional printing direction of the three-dimensional printing model. Finally, the three-dimensional printing direction of the determined three-dimensional printing model is used for the entity. Print.

從實驗數據可以表明,當三維列印模型被列印為三維列印模型時,在同樣的列印參數下,列印參數諸如列印層厚度精度、模型厚度、填充比及列印速率等,當三維列印模型於重力作用下能擺放的擺放姿勢及外部輪廓的平面與水平面角度之和的總角度越小,若總和的角度限制在三維印表機所設 置的列印角度之內,則需要外部支撐結構就越少,從而使得列印耗材及浪費的外部支撐耗材也越少。基於上述理由,本實施例對三維列印模型進行重力滾動模擬,確定三維列印模型在重力作用下使用最少外部支撐的擺放位置,從而提高後續真正列印時的列印品質。 From the experimental data, it can be shown that when the three-dimensional printing model is printed as a three-dimensional printing model, printing parameters such as printing layer thickness precision, model thickness, filling ratio and printing rate, etc., under the same printing parameters, When the three-dimensional printing model can be placed under the action of gravity, the total angle of the sum of the plane and the horizontal plane of the outer contour is smaller, if the angle of the sum is limited to the three-dimensional printer Within the print angle, fewer external support structures are required, resulting in fewer print consumables and wasted external support consumables. For the above reasons, the present embodiment performs gravity scrolling simulation on the three-dimensional printing model, and determines the placement position of the three-dimensional printing model using the least external support under the action of gravity, thereby improving the printing quality in the subsequent true printing.

第1圖為本發明一實施例提供之自我調整列印方向的三維模型列印方法之方法流程圖,其具體步驟如下所述。步驟101、對三維列印模型進行重力滾動模擬,確定三維列印模型在重力作用下使用最少外部支撐的擺放位置。步驟101是透過軟體的模擬來進行,也就是透過軟體來對三維列印模型進行重力滾動模擬,以確定三維列印模型在重力作用下,使用最少外部支撐的擺放位置。於步驟101中,所確定的三維列印模型在重力作用下,使用最少外部支撐的擺放位置可為一個或多個。 FIG. 1 is a flow chart of a method for self-adjusting a printing direction of a three-dimensional model printing method according to an embodiment of the present invention, and the specific steps thereof are as follows. Step 101: Perform a gravity scrolling simulation on the three-dimensional printing model to determine a placement position of the three-dimensional printing model using the least external support under the action of gravity. Step 101 is performed by simulation of the software, that is, gravity scrolling simulation of the three-dimensional printing model through the software to determine the placement position of the three-dimensional printing model under the action of gravity with the least external support. In step 101, the determined three-dimensional printing model may be one or more of the placement positions using the least external support under the action of gravity.

步驟102、根據所確定的擺放位置模擬擺放三維列印模型後,對三維列印模型進行模擬切片,以確定三維列印模型的三維列印方向。步驟102也是透過軟體的模擬來進行,所謂模擬切片指的是對被放置於擺放位置的三維列印模型進行模擬切片後,將與切片後之三維列印模型相對應的每一層切片生成列印控制指令,將列印控制指令轉換為圖形編碼(GCode)以進行列印,由此可知,對三維列印模型切片的方向及角度,確定了三維列印模型的三維列印方向,切片的方法及角度保證使用了最少的外部支撐。進一步地,模擬切片過 程,還可以根據三維印表機的參數特徵,估算得到列印時間和列印耗材等列印資料。 Step 102: After simulating the three-dimensional printing model according to the determined placement position, the three-dimensional printing model is simulated and sliced to determine a three-dimensional printing direction of the three-dimensional printing model. Step 102 is also performed by simulation of a software. The so-called analog slice refers to a slice of each slice corresponding to the sliced three-dimensional print model after performing simulation slicing on the three-dimensional print model placed at the placement position. The printing control command converts the printing control command into a graphic code (GCode) for printing, thereby knowing the direction and angle of the three-dimensional printing model slice, and determining the three-dimensional printing direction of the three-dimensional printing model, the sliced The method and angle ensure that the least external support is used. Further, the simulated sliced According to the parameters of the 3D printer, it is also possible to estimate the printing time and printing materials such as printing materials.

在本發明一實施例中,重力滾動模擬就是在三維坐標系中,透過模擬三維列印模型在重力環境下的掉落情况。一般分為三個步驟確定三維列印模型在重力作用下使用最少外部支撐的擺放位置:第一、透過進行重力滾動模擬,將三維列印模型能自然靜止的擺放位置作為初始位置;第二、將三維列印模型自初始位置開始,透過模擬重力條件下的物體滾動,使得三維列印模型達到自然穩定的穩定擺放位置;第三、記錄自然穩定的擺放位置的三維空間坐標,作為確定三維列印模型在重力作用下使用最少外部支撐的擺放位置的三維空間坐標。此處,由於在所確定的三維空間坐標下三維列印模型是可以自然擺放的,以此擺放位置進行後續列印有利於三維列印模型自然成型,儘量減少額外的外部支撐。 In an embodiment of the invention, the gravity scrolling simulation is a drop in a gravity environment by simulating a three-dimensional printing model in a three-dimensional coordinate system. Generally, it is divided into three steps to determine the position of the three-dimensional printing model using the least external support under the action of gravity: First, by performing the gravity rolling simulation, the position of the three-dimensional printing model can be naturally static as the initial position; Second, the three-dimensional printing model starts from the initial position, and the object is scrolled under the simulated gravity condition, so that the three-dimensional printing model reaches a stable position of natural stability; third, the three-dimensional space coordinates of the natural stable placement position are recorded, As a three-dimensional coordinate that determines the placement position of the three-dimensional printing model using the least external support under the action of gravity. Here, since the three-dimensional printing model can be naturally placed in the determined three-dimensional space coordinates, the subsequent printing by the placement position is advantageous for the natural molding of the three-dimensional printing model, and the additional external support is minimized.

在上述敍述中,判斷三維列印模型是否能在擺放位置上保持靜止的方式,是藉由重力滾動模擬。亦即透過判定三維列印模型的重心與重力方向的一致性,結合三維列印模型接觸水平面的特徵來判斷三維列印模型是否能在擺放位置上保持靜止,於此同時也可借助三維列印模型的重心與重力方向的偏差值來確定三維列印模型靜止的擺放位置,靜止的擺放位置會影響三維列印模型的穩定性,也就是透過預設置靜止偏差值,當三維列印模型的重心與重力方向的偏差值達到預設的靜止偏差值之範圍內後,則確定靜止三維列印模型的擺放位置。 第2圖為本發明一實施例提供的三維列印模型的重心與重力方向的偏差示意圖。 In the above description, the way to determine whether the three-dimensional printing model can remain stationary at the placement position is by gravity scrolling simulation. That is, by determining the consistency between the center of gravity of the three-dimensional printing model and the direction of gravity, and combining the features of the three-dimensional printing model contacting the horizontal plane to determine whether the three-dimensional printing model can remain stationary at the placement position, and also by means of the three-dimensional column The deviation between the center of gravity of the printed model and the direction of gravity to determine the position of the three-dimensional printing model at rest, the position of the static position will affect the stability of the three-dimensional printing model, that is, through the preset static deviation value, when three-dimensional printing After the deviation between the center of gravity of the model and the direction of gravity reaches the preset static deviation value, the placement position of the static three-dimensional printing model is determined. FIG. 2 is a schematic diagram showing the deviation between the center of gravity and the direction of gravity of the three-dimensional printing model according to an embodiment of the present invention.

在上述敍述的第二步驟,透過模擬重力條件下的物體滾動,具有滾動方向,滾動方向的選擇方式是藉由以三維列印模型的初始位置的重力方向為中心,繞重力地平面一周360度平分角度方式來選擇。所述重力地平面是以重力方向所在的縱向與重心所在的橫向之交界點所在的水平面。 In the second step of the above description, the object is scrolled by the simulated gravity condition, and has a scrolling direction. The scrolling direction is selected by centering the gravity direction of the initial position of the three-dimensional printing model and 360 degrees around the gravity plane. Divide the angle to choose. The gravity ground plane is a horizontal plane where the intersection of the longitudinal direction where the gravity direction is located and the lateral direction where the center of gravity is located.

第3圖為本發明一實施例提供的重力滾動模擬的滾動方向示意圖,第3圖所示的僅為一示例,並非用以侷限本發明,具體地來說包含下述的幾個步驟。第一、將繞重力地平面一周360度平分為4份,平分後的重力地平面形成4個區域,4個區域分別具有區域方向,亦即第3圖上所繪示之1、2、3、4四個方向,沿著1、2、3、4四個方向對三維列印模型進行抛物測試,待三維列印模型透過重力模擬自然落穩後,記錄擺放位置的三維空間坐標,假定四個方向都進行了三維列印模型的抛物測試,則確定的三維列印模型的擺放位置為Ni(i=1,2,3...n)。第二、對擺放位置Ni的三維空間座標進行水平平移和旋轉變換後,篩選掉其中相同的擺放位置後,得到篩選後的三維列印模型的擺放位置Nj(j=1,2,3,...m),m小於n;第三、對三維列印模型的擺放位置Nj進行預設角度的晃動模擬後,得到擺放位置Nj的穩定度,將穩定度最高的擺放位置Nj作為該三維列印模型達到自然穩定的擺放位置。 FIG. 3 is a schematic diagram of a scrolling direction of a gravity scrolling simulation according to an embodiment of the present invention. FIG. 3 is only an example, and is not intended to limit the present invention, and specifically includes the following steps. First, it will be divided into 4 parts by 360 degrees around the gravity ground plane. The equal gravity ground plane will form 4 areas, and each of the 4 areas will have the area direction, that is, 1, 2, 3 shown on the 3rd figure. In four directions, the three-dimensional printing model is parabolically tested in four directions: 1, 2, 3, and 4. After the three-dimensional printing model is naturally stabilized by gravity simulation, the three-dimensional space coordinates of the placement position are recorded, assuming The parabola test of the 3D printing model is performed in all four directions, and the determined position of the three-dimensional printing model is Ni (i = 1, 2, 3... n). Secondly, after horizontally shifting and rotating the three-dimensional coordinate coordinates of the placement position Ni, after filtering out the same placement position, the placement position of the screened three-dimensional printing model is obtained (j=1, 2, 3,...m),m is less than n; thirdly, after the swaying simulation of the preset position of the three-dimensional printing model Nj, the stability of the placement position Nj is obtained, and the highest stability is placed. The position Nj serves as a naturally stable placement position as the three-dimensional printing model.

在本發明一實施例,於提供的步驟102之前,三維模型列印方法更包含對三維列印模型進行投影輪廓分析,用 以確定三維列印模型的各個擺放位置所需之外部支撐,選定其中外部支撐最優的擺放位置作為確定的擺放位置。這個步驟為可供選擇之步驟,當步驟101中所確定出之三維列印模型在重力作用下使用最少外部支撐的擺放位置為單一位置時,就可以直接省略該步驟。 In an embodiment of the invention, before the step 102 is provided, the three-dimensional model printing method further comprises performing projection contour analysis on the three-dimensional printing model, To determine the external support required for each position of the three-dimensional printing model, select the optimal placement position of the external support as the determined placement position. This step is an optional step. When the three-dimensional printing model determined in step 101 is placed at a single position using the least external support under the force of gravity, the step can be omitted directly.

在本發明一實施例中,投影輪廓分析是對三維列印模型擺放位置的空間輪廓資料進行分析,對需要外部支撐的三維列印模型在進行列印方向的選擇上做更進一步之優化,以及確定所採用的外部支撐,用以確定三維列印模型的擺放位置是否會產生額外的外部支撐而導致耗材和列印時間的增加。具體地來說,對三維列印模型的每一個擺放位置Nj進行切分角度投影來分析外部輪廓特徵,切分角度設定根據列印之精度的要求,以三維列印模型俯視圖的平分角度切分進行,如第4圖所示,將360度等分後進行投影輪廓分析。第4圖為本發明一實施例提供的在投影角度為位置①、②、③時對三維列印模型的輪廓投影示意圖。第5圖為本發明一實施例提供的第4圖所示位置①、②、③時三維列印模型與三維列印模型的輪廓投影示意圖。如圖所示,第5圖中的上圖為位置①、②、③時三維列印模型的結構示意,第5圖中的下圖為位置①、②、③時三維列印模型的輪廓投影的結構示意。 In an embodiment of the present invention, the projection contour analysis analyzes the spatial contour data of the three-dimensional printing model placement position, and further optimizes the selection of the printing direction for the three-dimensional printing model that requires external support. And determining the external support used to determine if the placement of the three-dimensional printing model would result in additional external support resulting in increased consumables and printing time. Specifically, each of the placement positions Nj of the three-dimensional printing model is subjected to segmentation angle projection to analyze the outer contour feature, and the segmentation angle setting is cut according to the requirement of the printing precision, and the bifurcation angle of the top view of the model is cut. The sub-section is performed, as shown in Fig. 4, and the projection profile analysis is performed after halving 360 degrees. FIG. 4 is a schematic diagram showing the contour projection of a three-dimensional printing model when the projection angle is position 1, 2, and 3 according to an embodiment of the present invention. FIG. 5 is a schematic diagram showing the contour projection of the three-dimensional printing model and the three-dimensional printing model when the positions 1, 2, and 3 shown in FIG. 4 are provided according to an embodiment of the present invention. As shown in the figure, the upper graph in Fig. 5 shows the structure of the three-dimensional printing model at positions 1, 2, and 3. The lower graph in Fig. 5 shows the contour projection of the three-dimensional printing model at positions 1, 2, and 3. The structure is indicated.

對三維列印模型的輪廓投影進行處理,識別出輪廓曲線,以進行曲線分析,具體地來說:以三維列印模型的底部擺放位置平行線為x軸,以擺放方向為y軸,建立空間坐標系,以曲線的切線與x軸的夾角記為夾角a,夾角a定義為曲線 弧度需要產生外部支撐才能列印的角度,夾角a大於等於0,但小於90度,且確定夾角a的下方無三維列印模型實體支撐,則進行標注。如第5圖中圓圈內的曲面520,得到曲面520對應的三維列印模型位置後,計算對應的三維列印模型的位置之累積曲面面積,假定擺放位置Nj的累積曲面面積為Sj,後續則對設定個數的最小累積曲面面積Sj對應的擺放位置Nj進行模擬切片分析。 The contour projection of the three-dimensional printing model is processed, and the contour curve is identified for curve analysis. Specifically, the parallel line of the bottom position of the three-dimensional printing model is the x-axis, and the placing direction is the y-axis. Establish a spatial coordinate system, with the angle between the tangent of the curve and the x-axis as the angle a, and the angle a is defined as the curve The arc needs to produce an external support to print the angle. If the angle a is greater than or equal to 0, but less than 90 degrees, and there is no three-dimensional printing model entity support below the angle a, the label is marked. As shown in the curved surface 520 in the circle in FIG. 5, after obtaining the position of the three-dimensional printing model corresponding to the curved surface 520, the cumulative curved surface area of the corresponding three-dimensional printing model is calculated, and the cumulative curved surface area of the placing position Nj is assumed to be Sj. Then, the simulation slice analysis is performed on the placement position Nj corresponding to the set minimum cumulative surface area Sj.

第6圖為本發明一實施例提供的對三維列印模型進行投影輪廓分析的方法流程圖,其具體步驟如下所述。步驟601、獲得三維列印模型的當前角度投影圖。步驟602、對該投影圖進行輪廓曲線識別。步驟603、根據輪廓曲線識別之結果提出特徵位置。步驟604、記錄特徵位置所對應之三維列印模型的空間位置。步驟605、判斷所得到之空間位置是否已經包含在三維列印模型本身中,如果是,則將當前角度替換為下一角度,返回步驟601執行;如果否,則執行步驟606。步驟606、分析三維列印模型的外輪廓曲面特徵。步驟607、計算對應的三維列印模型的位置所具有之累積曲面面積。步驟608、判斷所有角度的投影圖都完成,如果是,則執行步驟609;如果否,則將當前角度替換為下一角度,返回步驟601執行。步驟609、將最小累積曲面面積Sj對應的擺放位置Nj作為外部支撐最優的擺放位置作為三維列印模型確定的擺放位置。 FIG. 6 is a flowchart of a method for performing projection contour analysis on a three-dimensional printing model according to an embodiment of the present invention, and the specific steps are as follows. Step 601: Obtain a current angle projection view of the three-dimensional printing model. Step 602: Perform contour curve recognition on the projection image. Step 603: Propose a feature position according to the result of the contour curve identification. Step 604: Record the spatial position of the three-dimensional printing model corresponding to the feature position. Step 605: Determine whether the obtained spatial position is already included in the three-dimensional printing model itself. If yes, replace the current angle with the next angle, and return to step 601 to execute; if not, execute step 606. Step 606: Analyze the outer contour surface feature of the three-dimensional printing model. Step 607: Calculate a cumulative curved surface area of the position of the corresponding three-dimensional printing model. Step 608: Determine that the projection maps of all angles are completed. If yes, execute step 609; if not, replace the current angle with the next angle, and return to step 601 for execution. Step 609: The placement position Nj corresponding to the minimum cumulative curved surface area Sj is taken as the optimal placement position of the external support as the placement position determined by the three-dimensional printing model.

第7圖為本發明一實施例提供的自我調整列印方向的三維模型列印系統的系統結構示意圖,包含重力滾動模 擬單元720以及模擬切片單元760。重力滾動模擬單元720用於對三維列印模型進行重力滾動模擬,確定三維列印模型在重力作用下使用最少外部支撐的擺放位置。模擬切片單元760用於根據所確定的擺放位置模擬擺放三維列印模型後,對三維列印模型進行模擬切片,確定三維列印模型的三維列印方向。 FIG. 7 is a schematic diagram of a system structure of a three-dimensional model printing system for self-adjusting printing directions according to an embodiment of the present invention, including a gravity rolling mode The unit 720 and the analog slicing unit 760. The gravity scrolling simulation unit 720 is configured to perform a gravity scrolling simulation on the three-dimensional printing model to determine a placement position of the three-dimensional printing model using the least external support under the action of gravity. The simulation slicing unit 760 is configured to simulate the three-dimensional printing model according to the determined placement position, and then perform simulation slicing on the three-dimensional printing model to determine the three-dimensional printing direction of the three-dimensional printing model.

在三維列印系統中,還可包含投影輪廓分析單元740,用於對三維列印模型的投影輪廓進行分析,以確定三維列印模型的各個擺放位置所需之外部支撐,選定其中外部支撐最優的擺放位置作為確定的擺放位置。 In the three-dimensional printing system, a projection contour analysis unit 740 may be further included for analyzing the projection contour of the three-dimensional printing model to determine the external support required for each position of the three-dimensional printing model, and selecting the external support therein The optimal placement position is used as the determined placement position.

以上舉較佳實施例,對本發明的目的、技術方案和優點進行了進一步詳細說明,所應理解的是,以上所述僅為本發明的較佳實施例而已,併不用以限制本發明,凡在本發明的精神和原則之內,所作的任何修改、等同替換和改進等,均應包含在本發明的保護範圍之內。 The present invention has been described in detail with reference to the preferred embodiments of the present invention. All modifications, equivalent substitutions and improvements made within the spirit and scope of the invention are intended to be included within the scope of the invention.

101~102‧‧‧步驟 101~102‧‧‧Steps

Claims (10)

一種自我調整列印方向的三維模型列印方法,包含:對一三維列印模型進行一重力滾動模擬,確定該三維列印模型在重力作用下,獲得一最少外部支撐之擺放位置;以及根據該最少外部支撐之擺放位置模擬擺放該三維列印模型後,對該三維列印模型進行一模擬切片,確定該三維列印模型的一三維列印方向。 A three-dimensional model printing method for self-adjusting the printing direction comprises: performing a gravity rolling simulation on a three-dimensional printing model, determining that the three-dimensional printing model obtains a placement position with a minimum external support under the action of gravity; After the three-dimensional printing model is placed on the placement position of the minimum external support, a three-dimensional printing model is simulated to determine a three-dimensional printing direction of the three-dimensional printing model. 如申請專利範圍第1項所述之三維模型列印方法,其中獲得該最少外部支撐之擺放位置的步驟包含:透過該重力滾動模擬,設定該三維列印模型自然靜止的一靜止擺放位置作為一初始位置;將該三維列印模型自該初始位置開始,透過模擬重力條件下的一物體滾動,使得該三維列印模型達到自然穩定的一穩定擺放位置;以及記錄自然穩定的該穩定擺放位置的一三維空間坐標,作為該最少外部支撐之擺放位置的該三維空間坐標。 The method for printing a three-dimensional model according to claim 1, wherein the step of obtaining the placement position of the minimum external support comprises: setting a static positioning position of the three-dimensional printing model to be static by the gravity rolling simulation As an initial position; starting from the initial position, the three-dimensional printing model is scrolled by an object under simulated gravity conditions, so that the three-dimensional printing model reaches a stable position of natural stability; and the stability of natural stability is recorded. A three-dimensional space coordinate of the placement position as the three-dimensional space coordinate of the placement position of the least external support. 如申請專利範圍第2項所述之三維模型列印方法,其中進行該重力滾動模擬的步驟包含:透過判定該三維列印模型的一重心與重力方向的一致性,結合該三維列印模型接觸一水平面的特徵來判斷該三維列印模型是否能在該擺放位置上保持靜止;以及 同時預設一靜止偏差值,當該三維列印模型的該重心與重力方向的一偏差值達到預設的該靜止偏差值之範圍內後,確定靜止之該三維列印模型的一擺放位置。 The method of claim 3, wherein the step of performing the gravity scrolling simulation comprises: determining the consistency of a center of gravity of the three-dimensional printing model with the direction of gravity, and combining the three-dimensional printing model contact. a feature of a horizontal plane to determine whether the three-dimensional printing model can remain stationary at the placement position; At the same time, a static deviation value is preset, and when a deviation value of the gravity center and the gravity direction of the three-dimensional printing model reaches a preset range of the static deviation value, determining a position of the three-dimensional printing model that is still at rest . 如申請專利範圍第2項所述之三維模型列印方法,其中透過模擬重力條件下的該物體滾動,具有一滾動方向,其中該滾動方向的選擇包含以該三維列印模型的該初始位置之重力方向為中心,繞一重力地平面一周360度的一平分角度方式來選擇該滾動方向,其中該重力地平面是以重力方向所在的縱向與該三維列印模型的該重心所在的橫向之一交界點所處的一水平面。 The method of printing a three-dimensional model according to claim 2, wherein the scrolling of the object under simulated gravity has a scrolling direction, wherein the selecting of the scrolling direction comprises printing the initial position of the model in the three-dimensional The direction of gravity is centered, and the rolling direction is selected by a bisector angle of 360 degrees around a gravity ground plane, wherein the gravity ground plane is one of a lateral direction in which the gravity direction is located and a horizontal direction in which the center of gravity of the three-dimensional printing model is located. The horizontal plane where the junction is located. 如申請專利範圍第4項所述之三維模型列印方法,其中該以該三維列印模型的該初始位置之重力方向為中心,以繞該重力地平面一周360度的該平分角度方式來選擇該滾動方向的步驟包含:將繞該重力地平面一周的360度依一預設份數平分,平分後該重力地平面形成複數個區域,該些區域分別具有一區域方向,分別於該些區域方向上對該三維列印模型進行一抛物測試,於該重力滾動模擬中,待該三維列印模型自然落穩後,記錄該三維列印模型的一擺放位置之一三維空間坐標;對該擺放位置的該三維空間坐標進行一水平平移和一旋轉變換後,比對並篩選掉該擺放位置中相同的該擺放位置,得到篩選後的該三維列印模型的該擺放位置;以及 對篩選後的該三維列印模型擺放位置進行一預設角度的一晃動模擬後,得到篩選後的該三維列印模型的該擺放位置的一穩定度,將該穩定度最高的該擺放位置作為該三維列印模型達到自然穩定的該穩定擺放位置。 The three-dimensional model printing method according to claim 4, wherein the gravity direction of the initial position of the three-dimensional printing model is centered, and the halving angle is selected 360 degrees around the gravity ground plane. The step of scrolling includes: dividing 360 degrees around the gravity ground plane by a predetermined number of parts, and dividing the gravity ground plane to form a plurality of regions, each of the regions having an area direction, respectively, in the regions Performing a parabola test on the three-dimensional printing model in the direction, in the gravity rolling simulation, after the three-dimensional printing model is naturally stabilized, recording a three-dimensional coordinate of a position of the three-dimensional printing model; After the horizontal coordinate and the one-rotation transformation of the three-dimensional space coordinates of the placement position, the same position in the placement position is compared and filtered, and the position of the three-dimensional printing model after screening is obtained; as well as After the swaying simulation of the position of the three-dimensional printing model after the screening is performed, a stability of the position of the three-dimensional printing model after screening is obtained, and the pendulum with the highest stability is obtained. The placement position is the stable placement position that is naturally stable as the three-dimensional printing model. 如申請專利範圍第1項所述之三維模型列印方法,其中該模擬切片的步驟包含:對處於該穩定擺放位置的該三維列印模型進行切片;將每一層相對應的該切片生成一列印控制指令;將該列印控制指令轉換為一圖形編碼GCode進行列印。 The three-dimensional model printing method according to claim 1, wherein the step of simulating the slice comprises: slicing the three-dimensional printing model at the stable placement position; and generating a column corresponding to the slice corresponding to each layer Printing a control command; converting the print control command into a graphic code GCode for printing. 如申請專利範圍第1項所述之三維模型列印方法,於該模擬切片的步驟之前,該三維模型列印方法更包含對該三維列印模型進行一投影輪廓分析,確定該三維列印模型的一擺放位置所需之外部支撐,選定其中外部支撐最優的一最優擺放位置作為該三維列印列印模型確定的擺放位置。 The three-dimensional model printing method according to the first aspect of the patent application, before the step of simulating the slice, the three-dimensional model printing method further comprises performing a projection contour analysis on the three-dimensional printing model to determine the three-dimensional printing model. The external support required for the position is selected, and an optimal placement position in which the external support is optimal is selected as the placement position determined by the three-dimensional printing print model. 如申請專利範圍第7項所述之三維模型列印方法,其中對該三維列印模型進行該投影輪廓分析的步驟包含:a)獲得該三維列印模型於一當前角度的一投影圖,對該投影圖進行一輪廓曲線識別;b)根據該輪廓曲線識別之結果提出一特徵位置,記錄該特徵位置對應之該三維列印模型的一空間位置; c)判斷該空間位置是否已經位在該三維列印模型中,如果是,則將該當前角度替換為下一角度,返回步驟a)執行;如果否,則執行步驟d);d)分析該三維列印模型的一外輪廓曲面特徵,計算對應之該三維列印模型的位置所具有之一累積曲面面積;e)判斷所有角度的投影圖都完成,如果是,則執行步驟f);如果否,則將該當前角度替換為下一角度,返回步驟a)執行;以及f)將該累積曲面面積中最小者所對應的該擺放位置選定為外部支撐最優的該最優擺放位置作為該三維列印模型確定的擺放位置。 The method of claim 3, wherein the step of performing the projection profile analysis on the three-dimensional printing model comprises: a) obtaining a projection image of the three-dimensional printing model at a current angle, The projection image performs a contour curve recognition; b) according to the result of the contour curve identification, a feature position is proposed, and a spatial position of the three-dimensional printing model corresponding to the feature position is recorded; c) determining whether the spatial position is already in the three-dimensional printing model, and if so, replacing the current angle with the next angle, returning to step a); if not, performing step d); d) analyzing the 3D printing an outer contour surface feature of the model, calculating a cumulative curved surface area corresponding to the position of the three-dimensional printing model; e) determining that the projection map of all angles is completed, and if yes, performing step f); No, the current angle is replaced with the next angle, and the process returns to step a); and f) the position corresponding to the smallest of the cumulative curved surface areas is selected as the optimal placement position of the external support. The placement position determined as the three-dimensional printing model. 一種自我調整列印方向的三維列印系統,包含:一重力滾動模擬單元,用於對一三維列印模型進行一重力滾動模擬,以確定該三維列印模型在重力作用下使用最少外部支撐的一最少外部支撐之擺放位置;以及一模擬切片單元,用於根據所確定的該最少外部支撐之擺放位置來模擬擺放該三維列印模型,接著對該三維列印模型進行一模擬切片,以確定該三維列印模型的一三維列印方向。 A three-dimensional printing system for self-adjusting the printing direction, comprising: a gravity rolling simulation unit for performing a gravity rolling simulation on a three-dimensional printing model to determine that the three-dimensional printing model uses minimal external support under the action of gravity a placement position of a minimum external support; and a simulated slicing unit for simulating the placement of the three-dimensional printing model according to the determined placement position of the minimum external support, and then performing a simulated slicing on the three-dimensional printing model To determine a three-dimensional printing orientation of the three-dimensional printing model. 如申請專利範圍第9項所述之三維列印系統,更包含:一投影輪廓分析單元,用於對該三維列印模型的一投影輪廓進行分析,以確定該三維列印模型的複數個擺放位置分 別所需之一外部支撐,選定其中該外部支撐最優的一最優擺放位置作為確定的擺放位置。 The three-dimensional printing system of claim 9, further comprising: a projection contour analyzing unit configured to analyze a projection contour of the three-dimensional printing model to determine a plurality of pendulums of the three-dimensional printing model Position Do not need one of the external supports, and select an optimal placement position in which the external support is optimal as the determined placement position.
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