NC machining verification algorithm based on the STL model
An algorithm to assess the deviation of a machined workpiece model for a nominal part of the stereolithography (STL) model-based numerically controlled (NC) machining verification is presented, which is inspired by several algorithms used for evaluating the difference between two triangular meshes o...
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| Vydáno v: | International journal of advanced manufacturing technology Ročník 110; číslo 5-6; s. 1153 - 1161 |
|---|---|
| Hlavní autoři: | , , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
London
Springer London
01.09.2020
Springer Nature B.V |
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| ISSN: | 0268-3768, 1433-3015 |
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| Abstract | An algorithm to assess the deviation of a machined workpiece model for a nominal part of the stereolithography (STL) model-based numerically controlled (NC) machining verification is presented, which is inspired by several algorithms used for evaluating the difference between two triangular meshes of similar shape, and some improvements are made. First, each triangle of the machined workpiece model is sampled under a user-defined sampling step
δ
. Then, the signed distance between each sample and the nominal part is computed to obtain the maximal error, minimal error, and mean error between the two STL models. Finally, a background grid is constructed to quickly search for the triangle closest to the sampling point. The experimental results demonstrate that the accuracy can be improved by sampling all the triangles, including those too small to be sampled under the current sampling step
δ
. The efficiency can be increased by applying a background grid, and the undercut and overcut areas can be easily detected by coloring the machined workpiece model according to the signed distance associated with each sample. |
|---|---|
| AbstractList | An algorithm to assess the deviation of a machined workpiece model for a nominal part of the stereolithography (STL) model-based numerically controlled (NC) machining verification is presented, which is inspired by several algorithms used for evaluating the difference between two triangular meshes of similar shape, and some improvements are made. First, each triangle of the machined workpiece model is sampled under a user-defined sampling step δ. Then, the signed distance between each sample and the nominal part is computed to obtain the maximal error, minimal error, and mean error between the two STL models. Finally, a background grid is constructed to quickly search for the triangle closest to the sampling point. The experimental results demonstrate that the accuracy can be improved by sampling all the triangles, including those too small to be sampled under the current sampling step δ. The efficiency can be increased by applying a background grid, and the undercut and overcut areas can be easily detected by coloring the machined workpiece model according to the signed distance associated with each sample. An algorithm to assess the deviation of a machined workpiece model for a nominal part of the stereolithography (STL) model-based numerically controlled (NC) machining verification is presented, which is inspired by several algorithms used for evaluating the difference between two triangular meshes of similar shape, and some improvements are made. First, each triangle of the machined workpiece model is sampled under a user-defined sampling step δ . Then, the signed distance between each sample and the nominal part is computed to obtain the maximal error, minimal error, and mean error between the two STL models. Finally, a background grid is constructed to quickly search for the triangle closest to the sampling point. The experimental results demonstrate that the accuracy can be improved by sampling all the triangles, including those too small to be sampled under the current sampling step δ . The efficiency can be increased by applying a background grid, and the undercut and overcut areas can be easily detected by coloring the machined workpiece model according to the signed distance associated with each sample. |
| Author | Song, Xiaowen Wang, Jun Lu, Zhonghua Miao, Ying |
| Author_xml | – sequence: 1 givenname: Ying surname: Miao fullname: Miao, Ying organization: Mechanical Institute of Technology, Wuxi Institute of Technology, Jiangsu Intelligent Production Line Technology and Equipment Engineering Research Center, Wuxi Institute of Technology – sequence: 2 givenname: Xiaowen surname: Song fullname: Song, Xiaowen email: songxw@zju.edu.cn organization: State Key Laboratory of Fluid Power and Mechatronic System, College of Mechanical Engineering, Zhejiang University – sequence: 3 givenname: Jun surname: Wang fullname: Wang, Jun organization: Mechanical Institute of Technology, Wuxi Institute of Technology, Jiangsu Intelligent Production Line Technology and Equipment Engineering Research Center, Wuxi Institute of Technology – sequence: 4 givenname: Zhonghua surname: Lu fullname: Lu, Zhonghua organization: Mechanical Institute of Technology, Wuxi Institute of Technology, Jiangsu Intelligent Production Line Technology and Equipment Engineering Research Center, Wuxi Institute of Technology |
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| Keywords | Signed distance Background grid NC machining verification Sampling step STL model |
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| References | FeitoFROgayarCJSeguraRJRiveroMLFast and accurate evaluation of regularized Boolean operations on triangulated solidsComputer-Aided Design201345370571610.1016/j.cad.2012.11.004 Gottschalk S, Lin MC, Manocha D (1996) OBBTree: a hierarchical structure for rapid interference detection. Paper presented at the Proceedings of the 23rd annual conference on Computer graphics and interactive techniques, New Orleans, August 4-9. doi:https://doi.org/10.1145/237170.237244 TangMLeeMKimYJInteractive Hausdorff Distance computation for general polygonal modelsACM Trans Graph20092839910.1145/1531326.1531380 Aspert N, Santa-Cruz D, Ebrahimi T (2002) MESH: measuring errors between surfaces using the Hausdorff distance. Ieee International Conference on Multimedia and Expo, Vol I and Ii, Proceedings:705-708. doi:https://doi.org/10.1109/icme.2002.1035879 JoyJFengHYEfficient milling part geometry computation via three-step update of frame-sliced voxel representation workpiece modelInt J Adv Manuf Technol2017925-82365237810.1007/s00170-017-0168-6 LeeSWNestlerAVirtual workpiece: workpiece representation for material removal processInt J Adv Manuf Technol2012585-844346310.1007/s00170-011-3431-2 Voelcker HB, Hunt WA (1981) The role of solid modeling in machining-process modeling and NC verification. SAE Technical Paper 810195. ArasEFengHYVector model-based workpiece update in multi-axis milling by moving surface of revolutionInt J Adv Manuf Technol2011529-1291392710.1007/s00170-010-2799-8 KarunakaranKPShringiROctree-to-BRep conversion for volumetric NC simulationInt J Adv Manuf Technol2007321-211613110.1007/s00170-005-0310-8 MiaoYSongXWJinTShanYImproving the efficiency of solid-based NC simulation by using spatial decomposition methodsInt J Adv Manuf Technol2016871-442143510.1007/s00170-016-8450-6 LeeSHLeeKSLocal mesh decimation for view-independent three-axis NC milling simulationInt J Adv Manuf Technol200219857958610.1007/s001700200063 KangYYoonSHKyungMHKimMSFast and robust computation of the Hausdorff distance between triangle mesh and quad mesh for near-zero casesComput Graph-UK201981617210.1016/j.cag.2019.03.014 KarunakaranKPShringiRRamamurthiDHariharanCOctree-based NC simulation system for optimization of feed rate in milling using instantaneous force modelInt J Adv Manuf Technol2010465-846549010.1007/s00170-009-2107-7 FleisigRVSpenceADTechniques for accelerating B-rep based parallel machining simulationComputer-Aided Design200537121229124010.1016/j.cad.2004.11.008 SunYJYanCYWuSWGongHLeeCHGeometric simulation of 5-axis hybrid additive-subtractive manufacturing based on Tri-dexel modelInt J Adv Manuf Technol2018999-122597261010.1007/s00170-018-2577-6 BartoňMHannielIElberGKimMSPrecise Hausdorff distance computation between polygonal meshesComput Aided Geom Des2010278580591272572010.1016/j.cagd.2010.04.0041205.65066 WangWPWangKKGeometric modeling for swept volume of moving solidsIEEE Comput Graph Appl198661281710.1109/MCG.1986.276586 CignoniPRocchiniCScopignoRMetro: measuring error on simplified surfacesComput Graph Forum199817216717410.1111/1467-8659.00236 YangJZAbdel-MalekKVerification of NC machining processes using swept volumesInt J Adv Manuf Technol2006281-2829110.1007/s00170-004-2352-8 YauHTTsouLSEfficient NC simulation for multi-axis solid machining with a universal APT cutterJ Comput Inf Sci Eng20099237538910.1115/1.3130231 KangYKyungMHYoonSHKimMSFast and robust Hausdorff distance computation from triangle mesh to quad mesh in near-zero casesComput Aided Geom Des20186291103380220510.1016/j.cagd.2018.03.01706892781 ZhaoGCaoXXiaoWLLiuQJunMBGSTEP-NC feature-oriented high-efficient CNC machining simulationInt J Adv Manuf Technol20201065-62363237510.1007/s00170-019-04770-3 KimYHKoSLImprovement of cutting simulation using the octree methodInt J Adv Manuf Technol20062811-121152116010.1007/s00170-004-2462-3 YJ Sun (5867_CR10) 2018; 99 SW Lee (5867_CR14) 2012; 58 5867_CR18 WP Wang (5867_CR9) 1986; 6 Y Kang (5867_CR20) 2018; 62 KP Karunakaran (5867_CR12) 2010; 46 YH Kim (5867_CR8) 2006; 28 P Cignoni (5867_CR17) 1998; 17 JZ Yang (5867_CR3) 2006; 28 M Bartoň (5867_CR19) 2010; 27 E Aras (5867_CR6) 2011; 52 J Joy (5867_CR7) 2017; 92 5867_CR1 RV Fleisig (5867_CR2) 2005; 37 Y Miao (5867_CR15) 2016; 87 Y Kang (5867_CR21) 2019; 81 HT Yau (5867_CR13) 2009; 9 5867_CR23 FR Feito (5867_CR22) 2013; 45 SH Lee (5867_CR5) 2002; 19 M Tang (5867_CR16) 2009; 28 KP Karunakaran (5867_CR11) 2007; 32 G Zhao (5867_CR4) 2020; 106 |
| References_xml | – reference: MiaoYSongXWJinTShanYImproving the efficiency of solid-based NC simulation by using spatial decomposition methodsInt J Adv Manuf Technol2016871-442143510.1007/s00170-016-8450-6 – reference: ZhaoGCaoXXiaoWLLiuQJunMBGSTEP-NC feature-oriented high-efficient CNC machining simulationInt J Adv Manuf Technol20201065-62363237510.1007/s00170-019-04770-3 – reference: KarunakaranKPShringiROctree-to-BRep conversion for volumetric NC simulationInt J Adv Manuf Technol2007321-211613110.1007/s00170-005-0310-8 – reference: BartoňMHannielIElberGKimMSPrecise Hausdorff distance computation between polygonal meshesComput Aided Geom Des2010278580591272572010.1016/j.cagd.2010.04.0041205.65066 – reference: KangYYoonSHKyungMHKimMSFast and robust computation of the Hausdorff distance between triangle mesh and quad mesh for near-zero casesComput Graph-UK201981617210.1016/j.cag.2019.03.014 – reference: YangJZAbdel-MalekKVerification of NC machining processes using swept volumesInt J Adv Manuf Technol2006281-2829110.1007/s00170-004-2352-8 – reference: Gottschalk S, Lin MC, Manocha D (1996) OBBTree: a hierarchical structure for rapid interference detection. Paper presented at the Proceedings of the 23rd annual conference on Computer graphics and interactive techniques, New Orleans, August 4-9. doi:https://doi.org/10.1145/237170.237244 – reference: FleisigRVSpenceADTechniques for accelerating B-rep based parallel machining simulationComputer-Aided Design200537121229124010.1016/j.cad.2004.11.008 – reference: KarunakaranKPShringiRRamamurthiDHariharanCOctree-based NC simulation system for optimization of feed rate in milling using instantaneous force modelInt J Adv Manuf Technol2010465-846549010.1007/s00170-009-2107-7 – reference: KimYHKoSLImprovement of cutting simulation using the octree methodInt J Adv Manuf Technol20062811-121152116010.1007/s00170-004-2462-3 – reference: Aspert N, Santa-Cruz D, Ebrahimi T (2002) MESH: measuring errors between surfaces using the Hausdorff distance. Ieee International Conference on Multimedia and Expo, Vol I and Ii, Proceedings:705-708. doi:https://doi.org/10.1109/icme.2002.1035879 – reference: SunYJYanCYWuSWGongHLeeCHGeometric simulation of 5-axis hybrid additive-subtractive manufacturing based on Tri-dexel modelInt J Adv Manuf Technol2018999-122597261010.1007/s00170-018-2577-6 – reference: YauHTTsouLSEfficient NC simulation for multi-axis solid machining with a universal APT cutterJ Comput Inf Sci Eng20099237538910.1115/1.3130231 – reference: Voelcker HB, Hunt WA (1981) The role of solid modeling in machining-process modeling and NC verification. SAE Technical Paper 810195. – reference: LeeSHLeeKSLocal mesh decimation for view-independent three-axis NC milling simulationInt J Adv Manuf Technol200219857958610.1007/s001700200063 – reference: CignoniPRocchiniCScopignoRMetro: measuring error on simplified surfacesComput Graph Forum199817216717410.1111/1467-8659.00236 – reference: TangMLeeMKimYJInteractive Hausdorff Distance computation for general polygonal modelsACM Trans Graph20092839910.1145/1531326.1531380 – reference: KangYKyungMHYoonSHKimMSFast and robust Hausdorff distance computation from triangle mesh to quad mesh in near-zero casesComput Aided Geom Des20186291103380220510.1016/j.cagd.2018.03.01706892781 – reference: WangWPWangKKGeometric modeling for swept volume of moving solidsIEEE Comput Graph Appl198661281710.1109/MCG.1986.276586 – reference: LeeSWNestlerAVirtual workpiece: workpiece representation for material removal processInt J Adv Manuf Technol2012585-844346310.1007/s00170-011-3431-2 – reference: ArasEFengHYVector model-based workpiece update in multi-axis milling by moving surface of revolutionInt J Adv Manuf Technol2011529-1291392710.1007/s00170-010-2799-8 – reference: JoyJFengHYEfficient milling part geometry computation via three-step update of frame-sliced voxel representation workpiece modelInt J Adv Manuf Technol2017925-82365237810.1007/s00170-017-0168-6 – reference: FeitoFROgayarCJSeguraRJRiveroMLFast and accurate evaluation of regularized Boolean operations on triangulated solidsComputer-Aided Design201345370571610.1016/j.cad.2012.11.004 – volume: 19 start-page: 579 issue: 8 year: 2002 ident: 5867_CR5 publication-title: Int J Adv Manuf Technol doi: 10.1007/s001700200063 – volume: 81 start-page: 61 year: 2019 ident: 5867_CR21 publication-title: Comput Graph-UK doi: 10.1016/j.cag.2019.03.014 – volume: 58 start-page: 443 issue: 5-8 year: 2012 ident: 5867_CR14 publication-title: Int J Adv Manuf Technol doi: 10.1007/s00170-011-3431-2 – ident: 5867_CR1 doi: 10.4271/810195 – ident: 5867_CR23 doi: 10.1145/237170.237244 – volume: 37 start-page: 1229 issue: 12 year: 2005 ident: 5867_CR2 publication-title: Computer-Aided Design doi: 10.1016/j.cad.2004.11.008 – volume: 28 start-page: 82 issue: 1-2 year: 2006 ident: 5867_CR3 publication-title: Int J Adv Manuf Technol doi: 10.1007/s00170-004-2352-8 – volume: 17 start-page: 167 issue: 2 year: 1998 ident: 5867_CR17 publication-title: Comput Graph Forum doi: 10.1111/1467-8659.00236 – volume: 6 start-page: 8 issue: 12 year: 1986 ident: 5867_CR9 publication-title: IEEE Comput Graph Appl doi: 10.1109/MCG.1986.276586 – volume: 9 start-page: 375 issue: 2 year: 2009 ident: 5867_CR13 publication-title: J Comput Inf Sci Eng doi: 10.1115/1.3130231 – volume: 92 start-page: 2365 issue: 5-8 year: 2017 ident: 5867_CR7 publication-title: Int J Adv Manuf Technol doi: 10.1007/s00170-017-0168-6 – volume: 52 start-page: 913 issue: 9-12 year: 2011 ident: 5867_CR6 publication-title: Int J Adv Manuf Technol doi: 10.1007/s00170-010-2799-8 – volume: 28 start-page: 9 issue: 3 year: 2009 ident: 5867_CR16 publication-title: ACM Trans Graph doi: 10.1145/1531326.1531380 – volume: 27 start-page: 580 issue: 8 year: 2010 ident: 5867_CR19 publication-title: Comput Aided Geom Des doi: 10.1016/j.cagd.2010.04.004 – volume: 106 start-page: 2363 issue: 5-6 year: 2020 ident: 5867_CR4 publication-title: Int J Adv Manuf Technol doi: 10.1007/s00170-019-04770-3 – volume: 28 start-page: 1152 issue: 11-12 year: 2006 ident: 5867_CR8 publication-title: Int J Adv Manuf Technol doi: 10.1007/s00170-004-2462-3 – volume: 99 start-page: 2597 issue: 9-12 year: 2018 ident: 5867_CR10 publication-title: Int J Adv Manuf Technol doi: 10.1007/s00170-018-2577-6 – volume: 87 start-page: 421 issue: 1-4 year: 2016 ident: 5867_CR15 publication-title: Int J Adv Manuf Technol doi: 10.1007/s00170-016-8450-6 – ident: 5867_CR18 doi: 10.1109/icme.2002.1035879 – volume: 45 start-page: 705 issue: 3 year: 2013 ident: 5867_CR22 publication-title: Computer-Aided Design doi: 10.1016/j.cad.2012.11.004 – volume: 62 start-page: 91 year: 2018 ident: 5867_CR20 publication-title: Comput Aided Geom Des doi: 10.1016/j.cagd.2018.03.017 – volume: 46 start-page: 465 issue: 5-8 year: 2010 ident: 5867_CR12 publication-title: Int J Adv Manuf Technol doi: 10.1007/s00170-009-2107-7 – volume: 32 start-page: 116 issue: 1-2 year: 2007 ident: 5867_CR11 publication-title: Int J Adv Manuf Technol doi: 10.1007/s00170-005-0310-8 |
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| Title | NC machining verification algorithm based on the STL model |
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