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Published in: International Journal of Computer Assisted Radiology and Surgery 10/2017

01-10-2017 | Original Article

3D Boolean operations in virtual surgical planning

Authors: Jerome Charton, Mathieu Laurentjoye, Youngjun Kim

Published in: International Journal of Computer Assisted Radiology and Surgery | Issue 10/2017

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Abstract

Purpose

Boolean operations in computer-aided design or computer graphics are a set of operations (e.g. intersection, union, subtraction) between two objects (e.g. a patient model and an implant model) that are important in performing accurate and reproducible virtual surgical planning. This requires accurate and robust techniques that can handle various types of data, such as a surface extracted from volumetric data, synthetic models, and 3D scan data.

Methods

This article compares the performance of the proposed method (Boolean operations by a robust, exact, and simple method between two colliding shells (BORES)) and an existing method based on the Visualization Toolkit (VTK).

Results

In all tests presented in this article, BORES could handle complex configurations as well as report impossible configurations of the input. In contrast, the VTK implementations were unstable, do not deal with singular edges and coplanar collisions, and have created several defects.

Conclusions

The proposed method of Boolean operations, BORES, is efficient and appropriate for virtual surgical planning. Moreover, it is simple and easy to implement. In future work, we will extend the proposed method to handle non-colliding components.
Literature
1.
go back to reference Kim Y, Kim L, Lee D, Shin S, Cho H, Roy F, Park SH (2015) Deformable mesh simulation for virtual laparoscopic cholecystectomy training. Vis Comput 31:485–495CrossRef Kim Y, Kim L, Lee D, Shin S, Cho H, Roy F, Park SH (2015) Deformable mesh simulation for virtual laparoscopic cholecystectomy training. Vis Comput 31:485–495CrossRef
4.
go back to reference Leiggener C, Messo E, Thor A, Zeilhofer HF, Hirsch JM (2009) A selective laser sintering guide for transferring a virtual plan to real time surgery in composite mandibular reconstruction with free fibula osseous flaps. Int J Oral Maxillofac Surg 38:187–192. doi:10.1016/j.ijom.2008.11.026 ISSN 1399-0020CrossRefPubMed Leiggener C, Messo E, Thor A, Zeilhofer HF, Hirsch JM (2009) A selective laser sintering guide for transferring a virtual plan to real time surgery in composite mandibular reconstruction with free fibula osseous flaps. Int J Oral Maxillofac Surg 38:187–192. doi:10.​1016/​j.​ijom.​2008.​11.​026 ISSN 1399-0020CrossRefPubMed
6.
7.
go back to reference Laurentjoye M, Charton J, Boileau M (2015) Orthognathic mandibular osteotomy and condyle positioning: update and innovation. L’Orthodontie Française 86:73–81CrossRef Laurentjoye M, Charton J, Boileau M (2015) Orthognathic mandibular osteotomy and condyle positioning: update and innovation. L’Orthodontie Française 86:73–81CrossRef
8.
go back to reference Frisardi G, Chessa G, Barone S, Paoli A, Razionale A, Frisardi F (2011) Integration of 3d anatomical data obtained by ct imaging and 3d optical scanning for computer aided implant surgery. BMC Med Imag 11:1CrossRef Frisardi G, Chessa G, Barone S, Paoli A, Razionale A, Frisardi F (2011) Integration of 3d anatomical data obtained by ct imaging and 3d optical scanning for computer aided implant surgery. BMC Med Imag 11:1CrossRef
9.
go back to reference Nakao M, Aso S, Imai Y, Ueda N, Hatanaka T, Shiba M, Kirita T, Matsuda T (2016) Automated planning with multivariate shape descriptors for fibular transfer in mandibular reconstruction. In: IEEE transactions on biomedical engineering, PP 1–1. ISSN 0018-9294. doi:10.1109/TBME.2016.2621742 Nakao M, Aso S, Imai Y, Ueda N, Hatanaka T, Shiba M, Kirita T, Matsuda T (2016) Automated planning with multivariate shape descriptors for fibular transfer in mandibular reconstruction. In: IEEE transactions on biomedical engineering, PP 1–1. ISSN 0018-9294. doi:10.​1109/​TBME.​2016.​2621742
10.
go back to reference Laurentjoye M, Charton J, Desbarats P, Montaudon M (2014) Mandibular surgery planning and 3d printed splint design. Int J Comput Assist Radiol Surg 9(Suppl 1):S253–S254 Laurentjoye M, Charton J, Desbarats P, Montaudon M (2014) Mandibular surgery planning and 3d printed splint design. Int J Comput Assist Radiol Surg 9(Suppl 1):S253–S254
12.
go back to reference Lin HH, Chang HW, Lo LJ (2015) Development of customized positioning guides using computer-aided design and manufacturing technology for orthognathic surgery. Int J Comput Assist Radiol Surg 10:2021–2033. doi:10.1007/s11548-015-1223-0 ISSN 1861-6429CrossRefPubMed Lin HH, Chang HW, Lo LJ (2015) Development of customized positioning guides using computer-aided design and manufacturing technology for orthognathic surgery. Int J Comput Assist Radiol Surg 10:2021–2033. doi:10.​1007/​s11548-015-1223-0 ISSN 1861-6429CrossRefPubMed
13.
go back to reference Aboul-Hosn Centenero S, Hernaindez-Alfaro F (2012) 3D planning in orthognathic surgery: CAD/CAM surgical splints and prediction of the soft and hard tissues results - our experience in 16 cases. J Craniomaxillofaci Surg 40:162–168. doi:10.1016/j.jcms.2011.03.014 ISSN 1878-4119CrossRef Aboul-Hosn Centenero S, Hernaindez-Alfaro F (2012) 3D planning in orthognathic surgery: CAD/CAM surgical splints and prediction of the soft and hard tissues results - our experience in 16 cases. J Craniomaxillofaci Surg 40:162–168. doi:10.​1016/​j.​jcms.​2011.​03.​014 ISSN 1878-4119CrossRef
14.
go back to reference Charton J, Kim L, Kim Y (2017) Boolean operations by a robust, exact, and simple method between two colliding shells. Journal of Advanced Mechanical Design, Systems, and Manufacturing. In: Special issue on the 7th Asian conference on design and digital engineering. accepted for publication in september 2017 Charton J, Kim L, Kim Y (2017) Boolean operations by a robust, exact, and simple method between two colliding shells. Journal of Advanced Mechanical Design, Systems, and Manufacturing. In: Special issue on the 7th Asian conference on design and digital engineering. accepted for publication in september 2017
16.
go back to reference Mei G, Tipper JC (2013) Simple and robust boolean operations for triangulated surfaces. CoRR, abs/1308.4434 Mei G, Tipper JC (2013) Simple and robust boolean operations for triangulated surfaces. CoRR, abs/1308.4434
17.
go back to reference Quammen C, Weigle C II, Taylor R (2011) Boolean operations on surfaces in vtk without external libraries. The VTK Journal 797:1 Quammen C, Weigle C II, Taylor R (2011) Boolean operations on surfaces in vtk without external libraries. The VTK Journal 797:1
18.
go back to reference Thibault WC, Naylor BF (1987) Set operations on polyhedra using binary space partitioning trees. ACM SIGGRAPH Comput Graph ACM 21:153–162CrossRef Thibault WC, Naylor BF (1987) Set operations on polyhedra using binary space partitioning trees. ACM SIGGRAPH Comput Graph ACM 21:153–162CrossRef
19.
go back to reference Granados M, Hachenberger P, Hert S, Kettner L, Mehlhorn K, Seel M (2003) Algorithms—ESA 2003: 11th annual European symposium, Budapest, Hungary, September 16-19, 2003. In: Proceedings, Springer Berlin Heidelberg, Berlin, Heidelberg, chap. Boolean operations on 3D selective nef complexes: data structure, algorithms, and implementation. ISBN 978-3-540-39658-1, pp 654–666. doi:10.1007/978-3-540-39658-1_59 Granados M, Hachenberger P, Hert S, Kettner L, Mehlhorn K, Seel M (2003) Algorithms—ESA 2003: 11th annual European symposium, Budapest, Hungary, September 16-19, 2003. In: Proceedings, Springer Berlin Heidelberg, Berlin, Heidelberg, chap. Boolean operations on 3D selective nef complexes: data structure, algorithms, and implementation. ISBN 978-3-540-39658-1, pp 654–666. doi:10.​1007/​978-3-540-39658-1_​59
20.
go back to reference Chen Y (2007) Robust and accurate boolean operations on polygonal models. ASME 2007 international design engineering technical conferences and computers and information in engineering Conference. ASME 2:357–369. doi:10.1115/DETC2007-35731 Chen Y (2007) Robust and accurate boolean operations on polygonal models. ASME 2007 international design engineering technical conferences and computers and information in engineering Conference. ASME 2:357–369. doi:10.​1115/​DETC2007-35731
21.
go back to reference Bernstein G, Fussell D (2009) Fast, exact, linear booleans. In: Proceedings of the symposium on geometry processing. Eurographics Association, Aire-la-Ville, Switzerland, Switzerland, SGP ’09, pp 1269–1278 Bernstein G, Fussell D (2009) Fast, exact, linear booleans. In: Proceedings of the symposium on geometry processing. Eurographics Association, Aire-la-Ville, Switzerland, Switzerland, SGP ’09, pp 1269–1278
22.
go back to reference Campen M, Kobbelt L (2010) Exact and robust (self-)intersections for polygonal meshes. Comput Graph Forum 29:397–406CrossRef Campen M, Kobbelt L (2010) Exact and robust (self-)intersections for polygonal meshes. Comput Graph Forum 29:397–406CrossRef
23.
go back to reference Hachenberger P, Kettner L (2016) 3d boolean operations on nef polyhedra. CGAL User and Reference Manual, CGAL Editorial Board. 4.8 edn Hachenberger P, Kettner L (2016) 3d boolean operations on nef polyhedra. CGAL User and Reference Manual, CGAL Editorial Board. 4.8 edn
27.
go back to reference Schifko M, Jüttler B, Kornberger B (2010) Industrial application of exact boolean operations for meshes. In: Proceedings of the 26th Spring conference on computer graphics. ACM, New York, NY, USA, SCCG ’10. ISBN 978-1-4503-0558-7, pp 165–172. doi:10.1145/1925059.1925089 Schifko M, Jüttler B, Kornberger B (2010) Industrial application of exact boolean operations for meshes. In: Proceedings of the 26th Spring conference on computer graphics. ACM, New York, NY, USA, SCCG ’10. ISBN 978-1-4503-0558-7, pp 165–172. doi:10.​1145/​1925059.​1925089
29.
go back to reference Antonio F (1992) Graphics gems iii. Academic Press Professional, Inc., San Diego, CA, USA, chap. Faster Line Segment Intersection. ISBN 0-12-409671-9, pp. 199–202 Antonio F (1992) Graphics gems iii. Academic Press Professional, Inc., San Diego, CA, USA, chap. Faster Line Segment Intersection. ISBN 0-12-409671-9, pp. 199–202
30.
go back to reference Möller T (1997) A fast triangle-triangle intersection test. J Graph Tools 2:25–30CrossRef Möller T (1997) A fast triangle-triangle intersection test. J Graph Tools 2:25–30CrossRef
31.
go back to reference Shewchuk JR (1997) Delaunay Refinement Mesh Generation. Ph.D. thesis, School of Computer Science, Carnegie Mellon University, Pittsburgh, Pennsylvania. Available as Technical Report CMU-CS-97-137 Shewchuk JR (1997) Delaunay Refinement Mesh Generation. Ph.D. thesis, School of Computer Science, Carnegie Mellon University, Pittsburgh, Pennsylvania. Available as Technical Report CMU-CS-97-137
32.
go back to reference Leiggener C, Messo E, Thor A, Zeilhofer HF, Hirsch JM (2009) A selective laser sintering guide for transferring a virtual plan to real time surgery in composite mandibular reconstruction with free fibula osseous flaps. Int J Oral Maxillofac Surg 38:187–192. doi:10.1016/j.ijom.2008.11.026 ISSN 0901-5027CrossRefPubMed Leiggener C, Messo E, Thor A, Zeilhofer HF, Hirsch JM (2009) A selective laser sintering guide for transferring a virtual plan to real time surgery in composite mandibular reconstruction with free fibula osseous flaps. Int J Oral Maxillofac Surg 38:187–192. doi:10.​1016/​j.​ijom.​2008.​11.​026 ISSN 0901-5027CrossRefPubMed
Metadata
Title
3D Boolean operations in virtual surgical planning
Authors
Jerome Charton
Mathieu Laurentjoye
Youngjun Kim
Publication date
01-10-2017
Publisher
Springer International Publishing
Published in
International Journal of Computer Assisted Radiology and Surgery / Issue 10/2017
Print ISSN: 1861-6410
Electronic ISSN: 1861-6429
DOI
https://doi.org/10.1007/s11548-017-1637-y

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