Boolean operations on multi-region solids for mesh generation

An algorithm for Boolean operations on non-manifold models is proposed to allow the treatment of solids with multiple regions (internal interfaces) and degenerate portions (shells and wires), in the context of mesh generation. In a solid modeler, one of the most powerful tools to create three-dimens...

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Vydané v:	Engineering with computers Ročník 28; číslo 3; s. 225 - 239
Hlavní autori:	Pereira, André Maués Brabo, de Arruda, Marcos Chataignier, Miranda, Antônio Carlos de O., Lira, William Wagner M., Martha, Luiz Fernando
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	London Springer-Verlag 01.07.2012 Springer Nature B.V
Predmet:	Algorithms CAE) and Design Calculus of Variations and Optimal Control; Optimization Classical Mechanics Computer Science Computer-Aided Engineering (CAD Control Math. Applications in Chemistry Mathematical and Computational Engineering Original Article Systems Theory Boolean operations Non-manifold solids Boundary representation Degenerate portions Geometric modeling Mesh generation
ISSN:	0177-0667, 1435-5663
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Abstract	An algorithm for Boolean operations on non-manifold models is proposed to allow the treatment of solids with multiple regions (internal interfaces) and degenerate portions (shells and wires), in the context of mesh generation. In a solid modeler, one of the most powerful tools to create three-dimensional objects with any level of geometric complexity is the Boolean set operators. They are intuitive and popular ways to combine solids, based on the operations applied to point sets. To assure that the resulting objects have the same dimension as the original objects, without loose or dangling parts, a regularization process is usually applied after a Boolean operation. In practice, the regularization is performed classifying the topological elements and removing internal or lower-dimensional structures. However, in many engineering applications, the adopted geometric model may contain idealized internal parts, as in the case of multi-region models, or lower-dimensional parts, as in the case of solids that contain dangling slabs that are represented as zero-thickness surfaces or wireframes in the model. Therefore, the aim of this work is the development of a generic algorithm that allows the application of the Boolean set operations in a geometric modeling environment applied to finite and boundary element mesh generation. This environment adopts a non-manifold boundary representation that considers an undefined number of topological entities (group concept), and works with objects of different dimensions and with objects not necessarily plane or polyhedral (parametric curved surfaces). Numerical examples are presented to illustrate the proposed methodology.
AbstractList	An algorithm for Boolean operations on non-manifold models is proposed to allow the treatment of solids with multiple regions (internal interfaces) and degenerate portions (shells and wires), in the context of mesh generation. In a solid modeler, one of the most powerful tools to create three-dimensional objects with any level of geometric complexity is the Boolean set operators. They are intuitive and popular ways to combine solids, based on the operations applied to point sets. To assure that the resulting objects have the same dimension as the original objects, without loose or dangling parts, a regularization process is usually applied after a Boolean operation. In practice, the regularization is performed classifying the topological elements and removing internal or lower-dimensional structures. However, in many engineering applications, the adopted geometric model may contain idealized internal parts, as in the case of multi-region models, or lower-dimensional parts, as in the case of solids that contain dangling slabs that are represented as zero-thickness surfaces or wireframes in the model. Therefore, the aim of this work is the development of a generic algorithm that allows the application of the Boolean set operations in a geometric modeling environment applied to finite and boundary element mesh generation. This environment adopts a non-manifold boundary representation that considers an undefined number of topological entities (group concept), and works with objects of different dimensions and with objects not necessarily plane or polyhedral (parametric curved surfaces). Numerical examples are presented to illustrate the proposed methodology. Issue Title: Special Issue: The Mesh Trends Symposium An algorithm for Boolean operations on non-manifold models is proposed to allow the treatment of solids with multiple regions (internal interfaces) and degenerate portions (shells and wires), in the context of mesh generation. In a solid modeler, one of the most powerful tools to create three-dimensional objects with any level of geometric complexity is the Boolean set operators. They are intuitive and popular ways to combine solids, based on the operations applied to point sets. To assure that the resulting objects have the same dimension as the original objects, without loose or dangling parts, a regularization process is usually applied after a Boolean operation. In practice, the regularization is performed classifying the topological elements and removing internal or lower-dimensional structures. However, in many engineering applications, the adopted geometric model may contain idealized internal parts, as in the case of multi-region models, or lower-dimensional parts, as in the case of solids that contain dangling slabs that are represented as zero-thickness surfaces or wireframes in the model. Therefore, the aim of this work is the development of a generic algorithm that allows the application of the Boolean set operations in a geometric modeling environment applied to finite and boundary element mesh generation. This environment adopts a non-manifold boundary representation that considers an undefined number of topological entities (group concept), and works with objects of different dimensions and with objects not necessarily plane or polyhedral (parametric curved surfaces). Numerical examples are presented to illustrate the proposed methodology.[PUBLICATION ABSTRACT]
Author	Martha, Luiz Fernando Miranda, Antônio Carlos de O. de Arruda, Marcos Chataignier Lira, William Wagner M. Pereira, André Maués Brabo
Author_xml	– sequence: 1 givenname: André Maués Brabo surname: Pereira fullname: Pereira, André Maués Brabo email: brabo@tecgraf.puc-rio.br, andremaues@id.uf.br organization: Departamento de Engenharia Civil, Universidade Federal Fluminense, Departamento de Engenharia Civil, Pontifícia Universidade Católica do Rio de Janeiro – sequence: 2 givenname: Marcos Chataignier surname: de Arruda fullname: de Arruda, Marcos Chataignier organization: Departamento de Engenharia Civil, Pontifícia Universidade Católica do Rio de Janeiro – sequence: 3 givenname: Antônio Carlos de O. surname: Miranda fullname: Miranda, Antônio Carlos de O. organization: Departamento de Engenharia Civil e Ambiental, Universidade de Brasilia, Campus Universitario Darcy Ribeiro – sequence: 4 givenname: William Wagner M. surname: Lira fullname: Lira, William Wagner M. organization: Centro de Tecnologia, Universidade Federal de Alagoas – sequence: 5 givenname: Luiz Fernando surname: Martha fullname: Martha, Luiz Fernando organization: Departamento de Engenharia Civil, Pontifícia Universidade Católica do Rio de Janeiro
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Cites_doi	10.1109/PROC.1985.13108 10.1109/38.62698 10.1109/20.877766 10.1109/38.75589 10.1007/PL00009321 10.1007/978-3-662-03427-9 10.1002/(SICI)1097-0207(20000210)47:4<777::AID-NME797>3.0.CO;2-6 10.1109/38.35539 10.1109/20.582457 10.1016/S0010-4485(03)00060-5 10.1016/j.cag.2003.08.001 10.1016/S0010-4485(01)00131-2 10.1016/0010-4485(91)90096-F 10.1007/s00366-008-0119-9 10.1016/0010-4485(91)90097-G 10.1016/j.cageo.2007.09.016 10.1016/0010-4485(95)00050-X 10.1016/S0097-8493(02)00179-6 10.1145/7529.7530 10.1016/j.cad.2005.11.009 10.1016/0010-4485(93)90097-8 10.1145/169728.169723 10.1016/S0010-4485(96)00066-8 10.1007/PL00007196
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References	CoelhoLCGGattassMFigueiredoLHIntersecting and trimming parametric meshes on finite-element shellsInt J Numer Methods Eng2000477778000979.6858310.1002/(SICI)1097-0207(20000210)47:4<777::AID-NME797>3.0.CO;2-6 RossignacJRRequichaAGConstructive non-regularized geometryComput Aided Des19912321320754.65130 ShewchukJRAdaptive precision floating-point arithmetic and fast robust geometric predicatesDiscrete Comput Geometry19971830536314876470892.6809810.1007/PL00009321 SenDSrikanthTKEfficient computation of volume fractions for multi-material cell complexes in a grid by slicingComput Geosci20083475478210.1016/j.cageo.2007.09.016 ColyerBProject MIDAS: magnet integrated design and analysis systemIEEE Trans Magn1997331143114810.1109/20.582457 De BergMVan KreveldMOvermarsMSchwarzkopfOComputational geometry: algorithms and applications1997BerlinSpringer0877.68001 ShapiroVVosslerDLSeparation for boundary to CSG conversionACM Trans Graph199312335510.1145/169728.169723 KouXYTanSTSzeWSModeling complex heterogeneous objects with non-manifold heterogeneous cellsComput Aided Des20063845747410.1016/j.cad.2005.11.009 Weiler K (1988) The radial-edge structure: a topological representation for non-manifold geometric boundary representation. Geometric modeling for CAD applications. North Holland, Amsterdam, pp 3–36 Keyser JC (2000) Exact boundary evaluation for curved solids. Dissertation, University of North Carolina Miranda ACO, Martha LF (2002) Mesh generation on high-curvature surfaces based on a background quadtree structure. In: Proceedings of 11th international meshing roundtable, Ithaca, pp 333–341 QianXDuttaDHeterogeneous object modeling through direct face neighborhood alterationComput Graph20032794396110.1016/j.cag.2003.08.001 Gursoz EL, Choi Y, Prinz FB (1990) Vertex-based representation of non-manifold boundaries. In: Wozny M, Turner J, Preiss K (eds) Geometric modeling for product engineering. North-Holland, Amsterdam, pp 107–130 Cavalcante-NetoJBWawrzynekPACarvalhoMTMMarthaLFIngraffeaARAn algorithm for three-dimensional mesh generation for arbitrary regions with cracksEng Comput20011775911002.6852710.1007/PL00007196 MäntyläMAn introduction to solid modeling Computer1988RockvilleScience Press MäntyläMBoolean operations of 2-manifolds through vertex neighborhood classificationACM Trans Graph1986512910.1145/7529.7530 PreparataFPShamosMIComputational geometry: an introduction1990New YorkSpringer HoffmannCMGeometric and solid modeling: an introduction1989San FransiscoMorgan Kaufmann Rossignac JR, O’Connor MA (1989) A dimensional-independent model for pointsets with internal structures and incomplete boundaries. Geometric modeling for product engineering. North-Holland, Amsterdam, pp 145–180 MirandaACOMarthaLFWawrzynekPAIngraffeaARSurface mesh regeneration considering curvaturesEng Comput20092520721910.1007/s00366-008-0119-9 Gardan Y, Minich C, Perrin E (2003) Boolean operations on feature-based models. J WSCG (Winter School of Computer Graphics) GursozELChoiYPrinzFBBoolean set operations on non-manifold boundary representation objectsComput Aided Des19912333390725.65156 Weiler K (1986) Topological structures for geometric modeling. Dissertation, Rensselaer Polytechnic Institute, Troy, NY SunWHuXReasoning Boolean operation based modeling for heterogeneous objectsComput Aided Des20023448148810.1016/S0010-4485(01)00131-2 Lira WWM, Coelho LCG, Martha LF (2002) Multiple intersections of finite-element surface meshes. In: Proceedings of 11th international meshing roundtable, Ithaca, pp 355–363 RequichaAGVoelckerHBBoolean operations in solid modeling: boundary evaluation and merging algorithmsProc IEEE198573304410.1109/PROC.1985.13108 ArbabFSet models and Boolean operations for solids and assembliesIEEE Comput Graph Appl199010768610.1109/38.62698 GardanYPerrinEAn algorithm for reducing 3D Boolean operations to a 2D problem: concepts and resultsComput Aided Des19952827728710.1016/0010-4485(95)00050-X CavalcantiPRCarvalhoPCPMarthaLFNon-manifold modeling: an approach based on spatial subdivisionComput Aided Des19972920922010.1016/S0010-4485(96)00066-8 LienhardtPTopological models for boundary representation: a comparison with n-dimensional generalized mapsComput Aided Des19912359820754.65018 MillerJRArchitectural issues in solid modelersIEEE Comput Graph Appl19899728710.1109/38.35539 CrackerGAReinkeWFAn editable nonmanifold boundary representationIEEE Comput Graph Appl199111395110.1109/38.75589 MasudaHTopological operators and Boolean operations for complex-based non-manifold geometric modelsComput Aided Des1993251191290772.6500910.1016/0010-4485(93)90097-8 KeyserJCCulverTFoskeyMKrishnanSManochaDESOLID—a system for exact boundary evaluationComput Aided Des20043617519310.1016/S0010-4485(03)00060-5 LiraWWMCoelhoLCGCavalcantiPRMarthaLFA modeling methodology for finite element mesh generation of multi-region models with parametric surfacesComput Graph20022690791810.1016/S0097-8493(02)00179-6 MagalhãesALCDCMesquitaRCExploring inner boundaries in solid modelers applied to electromagnetic problemsIEEE Trans Magn2000361682168610.1109/20.877766 Requicha A (1977) Constructive solid geometry. Technical Memo 25, University of Rochester, Production Automation Project 228_CR29 F Arbab (228_CR23) 1990; 10 JB Cavalcante-Neto (228_CR37) 2001; 17 228_CR26 ACO Miranda (228_CR36) 2009; 25 CM Hoffmann (228_CR1) 1989 228_CR20 228_CR21 XY Kou (228_CR12) 2006; 38 LCG Coelho (228_CR32) 2000; 47 JR Shewchuk (228_CR28) 1997; 18 228_CR3 FP Preparata (228_CR31) 1990 PR Cavalcanti (228_CR24) 1997; 29 W Sun (228_CR10) 2002; 34 EL Gursoz (228_CR17) 1991; 23 M Berg De (228_CR30) 1997 B Colyer (228_CR14) 1997; 33 JR Miller (228_CR4) 1989; 9 228_CR18 M Mäntylä (228_CR7) 1986; 5 228_CR19 JR Rossignac (228_CR25) 1991; 23 228_CR35 X Qian (228_CR11) 2003; 27 WWM Lira (228_CR33) 2002; 26 V Shapiro (228_CR6) 1993; 12 Y Gardan (228_CR8) 1995; 28 228_CR34 M Mäntylä (228_CR2) 1988 H Masuda (228_CR16) 1993; 25 AG Requicha (228_CR5) 1985; 73 ALCDC Magalhães (228_CR9) 2000; 36 D Sen (228_CR13) 2008; 34 P Lienhardt (228_CR22) 1991; 23 GA Cracker (228_CR15) 1991; 11 JC Keyser (228_CR27) 2004; 36
References_xml	– reference: Keyser JC (2000) Exact boundary evaluation for curved solids. Dissertation, University of North Carolina – reference: Gardan Y, Minich C, Perrin E (2003) Boolean operations on feature-based models. J WSCG (Winter School of Computer Graphics) – reference: ColyerBProject MIDAS: magnet integrated design and analysis systemIEEE Trans Magn1997331143114810.1109/20.582457 – reference: LienhardtPTopological models for boundary representation: a comparison with n-dimensional generalized mapsComput Aided Des19912359820754.65018 – reference: KouXYTanSTSzeWSModeling complex heterogeneous objects with non-manifold heterogeneous cellsComput Aided Des20063845747410.1016/j.cad.2005.11.009 – reference: Weiler K (1986) Topological structures for geometric modeling. Dissertation, Rensselaer Polytechnic Institute, Troy, NY – reference: MillerJRArchitectural issues in solid modelersIEEE Comput Graph Appl19899728710.1109/38.35539 – reference: RequichaAGVoelckerHBBoolean operations in solid modeling: boundary evaluation and merging algorithmsProc IEEE198573304410.1109/PROC.1985.13108 – reference: SenDSrikanthTKEfficient computation of volume fractions for multi-material cell complexes in a grid by slicingComput Geosci20083475478210.1016/j.cageo.2007.09.016 – reference: GursozELChoiYPrinzFBBoolean set operations on non-manifold boundary representation objectsComput Aided Des19912333390725.65156 – reference: Miranda ACO, Martha LF (2002) Mesh generation on high-curvature surfaces based on a background quadtree structure. In: Proceedings of 11th international meshing roundtable, Ithaca, pp 333–341 – reference: HoffmannCMGeometric and solid modeling: an introduction1989San FransiscoMorgan Kaufmann – reference: GardanYPerrinEAn algorithm for reducing 3D Boolean operations to a 2D problem: concepts and resultsComput Aided Des19952827728710.1016/0010-4485(95)00050-X – reference: Rossignac JR, O’Connor MA (1989) A dimensional-independent model for pointsets with internal structures and incomplete boundaries. Geometric modeling for product engineering. North-Holland, Amsterdam, pp 145–180 – reference: De BergMVan KreveldMOvermarsMSchwarzkopfOComputational geometry: algorithms and applications1997BerlinSpringer0877.68001 – reference: MirandaACOMarthaLFWawrzynekPAIngraffeaARSurface mesh regeneration considering curvaturesEng Comput20092520721910.1007/s00366-008-0119-9 – reference: CrackerGAReinkeWFAn editable nonmanifold boundary representationIEEE Comput Graph Appl199111395110.1109/38.75589 – reference: ArbabFSet models and Boolean operations for solids and assembliesIEEE Comput Graph Appl199010768610.1109/38.62698 – reference: Lira WWM, Coelho LCG, Martha LF (2002) Multiple intersections of finite-element surface meshes. In: Proceedings of 11th international meshing roundtable, Ithaca, pp 355–363 – reference: Requicha A (1977) Constructive solid geometry. Technical Memo 25, University of Rochester, Production Automation Project – reference: CoelhoLCGGattassMFigueiredoLHIntersecting and trimming parametric meshes on finite-element shellsInt J Numer Methods Eng2000477778000979.6858310.1002/(SICI)1097-0207(20000210)47:4<777::AID-NME797>3.0.CO;2-6 – reference: RossignacJRRequichaAGConstructive non-regularized geometryComput Aided Des19912321320754.65130 – reference: CavalcantiPRCarvalhoPCPMarthaLFNon-manifold modeling: an approach based on spatial subdivisionComput Aided Des19972920922010.1016/S0010-4485(96)00066-8 – reference: Gursoz EL, Choi Y, Prinz FB (1990) Vertex-based representation of non-manifold boundaries. In: Wozny M, Turner J, Preiss K (eds) Geometric modeling for product engineering. North-Holland, Amsterdam, pp 107–130 – reference: PreparataFPShamosMIComputational geometry: an introduction1990New YorkSpringer – reference: MasudaHTopological operators and Boolean operations for complex-based non-manifold geometric modelsComput Aided Des1993251191290772.6500910.1016/0010-4485(93)90097-8 – reference: ShewchukJRAdaptive precision floating-point arithmetic and fast robust geometric predicatesDiscrete Comput Geometry19971830536314876470892.6809810.1007/PL00009321 – reference: MäntyläMBoolean operations of 2-manifolds through vertex neighborhood classificationACM Trans Graph1986512910.1145/7529.7530 – reference: LiraWWMCoelhoLCGCavalcantiPRMarthaLFA modeling methodology for finite element mesh generation of multi-region models with parametric surfacesComput Graph20022690791810.1016/S0097-8493(02)00179-6 – reference: QianXDuttaDHeterogeneous object modeling through direct face neighborhood alterationComput Graph20032794396110.1016/j.cag.2003.08.001 – reference: ShapiroVVosslerDLSeparation for boundary to CSG conversionACM Trans Graph199312335510.1145/169728.169723 – reference: Weiler K (1988) The radial-edge structure: a topological representation for non-manifold geometric boundary representation. Geometric modeling for CAD applications. North Holland, Amsterdam, pp 3–36 – reference: KeyserJCCulverTFoskeyMKrishnanSManochaDESOLID—a system for exact boundary evaluationComput Aided Des20043617519310.1016/S0010-4485(03)00060-5 – reference: MagalhãesALCDCMesquitaRCExploring inner boundaries in solid modelers applied to electromagnetic problemsIEEE Trans Magn2000361682168610.1109/20.877766 – reference: SunWHuXReasoning Boolean operation based modeling for heterogeneous objectsComput Aided Des20023448148810.1016/S0010-4485(01)00131-2 – reference: Cavalcante-NetoJBWawrzynekPACarvalhoMTMMarthaLFIngraffeaARAn algorithm for three-dimensional mesh generation for arbitrary regions with cracksEng Comput20011775911002.6852710.1007/PL00007196 – reference: MäntyläMAn introduction to solid modeling Computer1988RockvilleScience Press – volume: 73 start-page: 30 year: 1985 ident: 228_CR5 publication-title: Proc IEEE doi: 10.1109/PROC.1985.13108 – ident: 228_CR18 – volume: 10 start-page: 76 year: 1990 ident: 228_CR23 publication-title: IEEE Comput Graph Appl doi: 10.1109/38.62698 – volume: 36 start-page: 1682 year: 2000 ident: 228_CR9 publication-title: IEEE Trans Magn doi: 10.1109/20.877766 – ident: 228_CR20 – volume-title: An introduction to solid modeling Computer year: 1988 ident: 228_CR2 – ident: 228_CR3 – volume: 11 start-page: 39 year: 1991 ident: 228_CR15 publication-title: IEEE Comput Graph Appl doi: 10.1109/38.75589 – volume: 18 start-page: 305 year: 1997 ident: 228_CR28 publication-title: Discrete Comput Geometry doi: 10.1007/PL00009321 – volume-title: Computational geometry: algorithms and applications year: 1997 ident: 228_CR30 doi: 10.1007/978-3-662-03427-9 – volume: 47 start-page: 777 year: 2000 ident: 228_CR32 publication-title: Int J Numer Methods Eng doi: 10.1002/(SICI)1097-0207(20000210)47:4<777::AID-NME797>3.0.CO;2-6 – volume: 9 start-page: 72 year: 1989 ident: 228_CR4 publication-title: IEEE Comput Graph Appl doi: 10.1109/38.35539 – volume: 33 start-page: 1143 year: 1997 ident: 228_CR14 publication-title: IEEE Trans Magn doi: 10.1109/20.582457 – ident: 228_CR26 – volume-title: Computational geometry: an introduction year: 1990 ident: 228_CR31 – volume-title: Geometric and solid modeling: an introduction year: 1989 ident: 228_CR1 – volume: 36 start-page: 175 year: 2004 ident: 228_CR27 publication-title: Comput Aided Des doi: 10.1016/S0010-4485(03)00060-5 – volume: 27 start-page: 943 year: 2003 ident: 228_CR11 publication-title: Comput Graph doi: 10.1016/j.cag.2003.08.001 – ident: 228_CR35 – ident: 228_CR21 – volume: 34 start-page: 481 year: 2002 ident: 228_CR10 publication-title: Comput Aided Des doi: 10.1016/S0010-4485(01)00131-2 – volume: 23 start-page: 21 year: 1991 ident: 228_CR25 publication-title: Comput Aided Des doi: 10.1016/0010-4485(91)90096-F – volume: 25 start-page: 207 year: 2009 ident: 228_CR36 publication-title: Eng Comput doi: 10.1007/s00366-008-0119-9 – volume: 23 start-page: 33 year: 1991 ident: 228_CR17 publication-title: Comput Aided Des doi: 10.1016/0010-4485(91)90097-G – volume: 34 start-page: 754 year: 2008 ident: 228_CR13 publication-title: Comput Geosci doi: 10.1016/j.cageo.2007.09.016 – volume: 28 start-page: 277 year: 1995 ident: 228_CR8 publication-title: Comput Aided Des doi: 10.1016/0010-4485(95)00050-X – volume: 26 start-page: 907 year: 2002 ident: 228_CR33 publication-title: Comput Graph doi: 10.1016/S0097-8493(02)00179-6 – volume: 5 start-page: 1 year: 1986 ident: 228_CR7 publication-title: ACM Trans Graph doi: 10.1145/7529.7530 – volume: 38 start-page: 457 year: 2006 ident: 228_CR12 publication-title: Comput Aided Des doi: 10.1016/j.cad.2005.11.009 – ident: 228_CR29 – volume: 25 start-page: 119 year: 1993 ident: 228_CR16 publication-title: Comput Aided Des doi: 10.1016/0010-4485(93)90097-8 – volume: 12 start-page: 33 year: 1993 ident: 228_CR6 publication-title: ACM Trans Graph doi: 10.1145/169728.169723 – volume: 23 start-page: 59 year: 1991 ident: 228_CR22 publication-title: Comput Aided Des – volume: 29 start-page: 209 year: 1997 ident: 228_CR24 publication-title: Comput Aided Des doi: 10.1016/S0010-4485(96)00066-8 – volume: 17 start-page: 75 year: 2001 ident: 228_CR37 publication-title: Eng Comput doi: 10.1007/PL00007196 – ident: 228_CR34 – ident: 228_CR19
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Snippet	An algorithm for Boolean operations on non-manifold models is proposed to allow the treatment of solids with multiple regions (internal interfaces) and... Issue Title: Special Issue: The Mesh Trends Symposium An algorithm for Boolean operations on non-manifold models is proposed to allow the treatment of solids...
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SubjectTerms	Algorithms CAE) and Design Calculus of Variations and Optimal Control; Optimization Classical Mechanics Computer Science Computer-Aided Engineering (CAD Control Math. Applications in Chemistry Mathematical and Computational Engineering Original Article Systems Theory
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Title	Boolean operations on multi-region solids for mesh generation
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