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Journal articles on the topic 'Constructive Solid Geometry'

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Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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1

Laidlaw, David H., W. Benjamin Trumbore, and John F. Hughes. "Constructive solid geometry for polyhedral objects." ACM SIGGRAPH Computer Graphics 20, no. 4 (August 31, 1986): 161–70. http://dx.doi.org/10.1145/15886.15904.

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2

Wilde, D. J. "Constructive Solid Geometry of the Trihedron." Journal of Mechanisms, Transmissions, and Automation in Design 111, no. 4 (December 1, 1989): 590–96. http://dx.doi.org/10.1115/1.3259041.

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3

Cameron, S. "Efficient bounds in constructive solid geometry." IEEE Computer Graphics and Applications 11, no. 3 (May 1991): 68–74. http://dx.doi.org/10.1109/38.79455.

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4

Cameron, Stephen, and Chee-Keng Yap. "Refinement methods for geometric bounds in constructive solid geometry." ACM Transactions on Graphics 11, no. 1 (January 2, 1992): 12–39. http://dx.doi.org/10.1145/102377.123764.

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5

Davy, J. R., and P. M. Dew. "A polymorphic library for constructive solid geometry." Journal of Functional Programming 5, no. 3 (July 1995): 415–42. http://dx.doi.org/10.1017/s0956796800001416.

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AbstractSolid modelling using constructive solid geometry (CSG) includes many examples of stylised divide-and-conquer algorithms. We identify the sources of these recurrent patterns and describe a Geometric Evaluation Library (GEL) which captures them as higher-order functions. This library then becomes the basis of developing CSG applications quickly and concisely. GEL is currently implemented as a set of separately compiled modules in the pure functional language Hope+. We evaluate our work in terms of performance and general applicability. We also assess the benefits of the functional paradigm in this domain and the merits of programming with a set of higher-order functions.

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6

Zhang, Yang, Zhen Liu, Xiang Li, Xizhang Wei, and Qianyu Zhang. "Generative recursive network for constructive solid geometry." Electronics Letters 55, no. 14 (July 2019): 785–87. http://dx.doi.org/10.1049/el.2019.1049.

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7

Eppstein, D. "Asymptotic speed-ups in constructive solid geometry." Algorithmica 13, no. 5 (May 1995): 462–71. http://dx.doi.org/10.1007/bf01190849.

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8

Wyvill, Geoff, and Tosiyasu L. Kunii. "A functional model for constructive solid geometry." Visual Computer 1, no. 1 (July 1985): 3–14. http://dx.doi.org/10.1007/bf01901265.

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9

WYVILL, BRIAN, and KEES VAN OVERVELD. "POLYGONIZATION OF IMPLICIT SURFACES WITH CONSTRUCTIVE SOLID GEOMETRY." International Journal of Shape Modeling 02, no. 04 (December 1996): 257–74. http://dx.doi.org/10.1142/s0218654396000142.

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10

Rossignac, Jaroslaw, and Aristides Requicha. "Depth-Buffering Display Techniques for Constructive Solid Geometry." IEEE Computer Graphics and Applications 6, no. 9 (1986): 29–39. http://dx.doi.org/10.1109/mcg.1986.276544.

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11

Conway, Damian. "Constructive solid geometry using the isoluminance contour model." Computers & Graphics 15, no. 3 (January 1991): 341–47. http://dx.doi.org/10.1016/0097-8493(91)90003-z.

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12

Buchele, Suzanne F., and Richard H. Crawford. "Three-dimensional halfspace constructive solid geometry tree construction from implicit boundary representations." Computer-Aided Design 36, no. 11 (September 2004): 1063–73. http://dx.doi.org/10.1016/j.cad.2004.01.006.

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13

Kodiyalam, Srinivas, Virendra Kumar, and Peter M. Finnigan. "Constructive solid geometry approach to three-dimensional structuralshape optimization." AIAA Journal 30, no. 5 (May 1992): 1408–15. http://dx.doi.org/10.2514/3.11077.

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14

Boender, Edwin, Willem F. Bronsvoort, and Frits H. Post. "Finite-element mesh generation from constructive-solid-geometry models." Computer-Aided Design 26, no. 5 (May 1994): 379–92. http://dx.doi.org/10.1016/0010-4485(94)90025-6.

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15

Chirehdast, Mehran, and Panos Y. Papalambros. "Conversion of spatial-enumeration scheme into constructive solid geometry." Computer-Aided Design 26, no. 4 (April 1994): 302–14. http://dx.doi.org/10.1016/0010-4485(94)90076-0.

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16

Ulyanov, D., D. Bogolepov, and V. Turlapov. "Interactive vizualization of constructive solid geometry scenes on graphic processors." Programming and Computer Software 43, no. 4 (July 2017): 258–67. http://dx.doi.org/10.1134/s0361768817040090.

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17

Sheng, Bin, Ping Li, Hongbo Fu, Lizhuang Ma, and Enhua Wu. "Efficient non-incremental constructive solid geometry evaluation for triangular meshes." Graphical Models 97 (May 2018): 1–16. http://dx.doi.org/10.1016/j.gmod.2018.03.001.

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18

Requicha, A., and S. Chan. "Representation of geometric features, tolerances, and attributes in solid modelers based on constructive geometry." IEEE Journal on Robotics and Automation 2, no. 3 (1986): 156–66. http://dx.doi.org/10.1109/jra.1986.1087053.

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19

Goodrich, Michael T. "An Improved Ray Shooting Method for Constructive Solid Geometry Models Via Tree Contraction." International Journal of Computational Geometry & Applications 08, no. 01 (February 1998): 1–23. http://dx.doi.org/10.1142/s0218195998000023.

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In the Constructive Solid Geometry (CSG) representation a geometric object is described as the hierarchical combination of a number of primitive shapes using the operations union, intersection, subtraction, and exclusive-union. This hierarchical description defines an expression tree, T, called the CSG tree, with leaves associated with primitive shapes, internal nodes associated with operations, and whose "value" is the geometric object. Evaluation of CSG trees is an important computation that arises in many rendering and analysis problems for geometric models, with ray shooting (also known as "ray casting") being one of the most important. Given any CSG tree T, which may be unbalanced, we show how to convert T into a functionally-equivalent binary tree, D, that is balanced. We demonstrate the utility of this conversion by showing how it can be used to improve the worst-case running time for ray shooting against a CSG model from O(n2) to O(n log n), which is optimal. In addition, the practicality of our method has been demonstrated in experimental benchmarking tests using the BRL-CAD package.

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20

Goldfeather, Jack, Jeff P. M. Hultquist, and Henry Fuchs. "Fast constructive-solid geometry display in the pixel-powers graphics system." ACM SIGGRAPH Computer Graphics 20, no. 4 (August 31, 1986): 107–16. http://dx.doi.org/10.1145/15886.15898.

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21

Peterson, D. P. "Boundary to constructive solid geometry mappings: A focus on 2D issues." Computer-Aided Design 18, no. 1 (January 1986): 3–14. http://dx.doi.org/10.1016/s0010-4485(86)80003-3.

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22

Wang, Y., and D. M. Lane. "Subsea vehicle path planning using nonlinear programming and constructive solid geometry." IEE Proceedings - Control Theory and Applications 144, no. 2 (March 1, 1997): 143–52. http://dx.doi.org/10.1049/ip-cta:19971029.

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23

Duff, Tom. "Interval arithmetic recursive subdivision for implicit functions and constructive solid geometry." ACM SIGGRAPH Computer Graphics 26, no. 2 (July 1992): 131–38. http://dx.doi.org/10.1145/142920.134027.

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24

Leff, L. L., and D. Y. Y. Yun. "Symbolic math applications to constructive solid geometry and finite element analysis." Computers & Structures 59, no. 3 (May 1996): 561–82. http://dx.doi.org/10.1016/0045-7949(95)00205-7.

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25

Bin, Ho. "Inputting constructive solid geometry representations directly from 2D orthographic engineering drawings." Computer-Aided Design 18, no. 3 (April 1986): 147–52. http://dx.doi.org/10.1016/0010-4485(86)90325-8.

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26

Wang, Zhiping, Yicha Zhang, and Alain Bernard. "A constructive solid geometry-based generative design method for additive manufacturing." Additive Manufacturing 41 (May 2021): 101952. http://dx.doi.org/10.1016/j.addma.2021.101952.

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27

Ahmed, Faez, Kalyanmoy Deb, and Bishakh Bhattacharya. "Structural topology optimization using multi-objective genetic algorithm with constructive solid geometry representation." Applied Soft Computing 39 (February 2016): 240–50. http://dx.doi.org/10.1016/j.asoc.2015.10.063.

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28

Shapiro, V., and D. L. Vossler. "Efficient CSG Representations of Two-Dimensional Solids." Journal of Mechanical Design 113, no. 3 (September 1, 1991): 292–305. http://dx.doi.org/10.1115/1.2912782.

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Good methods are known for converting a Constructive Solid Geometry (CSG) representation of a solid into a boundary representation (b-rep) of the solid, but not for performing the inverse conversion, b-rep→CSG, which is the subject of this paper. Important applications of b-rep→CSG conversion arise in solid modeling, image processing, and elsewhere. The problem can be divided into two tasks: (1) finding a set of halfspaces that is necessary and sufficient (but not unique) to represent a given solid, and (2) constructing an efficient CSG representation using those halfspaces. This paper solves the problem for curved planar solids, i.e., r-sets in E2, with or without holes, whose boundary is given by a collection of edges. The edges may be subsets of straight lines or convex curves (i.e., curves which intersect any line in at most two points). We prove a number of results and describe algorithms that have been fully implemented for solids bounded by line segments and circular arcs. Empirical results show that the computed CSG representations are superior to those produced by earlier algorithms, and produce superior three-dimensional CSG representations for mechanical parts defined by contour sweeping. A companion paper generalizes the results to higher dimensional solids.

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29

Spence, A. D., and Y. Altintas. "A Solid Modeller Based Milling Process Simulation and Planning System." Journal of Engineering for Industry 116, no. 1 (February 1, 1994): 61–69. http://dx.doi.org/10.1115/1.2901810.

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A Constructive Solid Geometry (CSG) based process simulation system is developed for 2 1/2 axis milling. Along each path, the cutter is intersected with the individual geometric primitives describing the part. The cutter-part intersection data are then merged using the CSG part description tree, and retained to be accessed during the milling process simulation. Using the stored intersection data and an analytic reformulated mechanistic milling process model, the cutting forces and dimensional accuracy of the parts are simulated before the machining actually takes place. By using an inverse solution for the milling expressions, the feed rate is automatically scheduled to satisfy force, torque, and part dimensional error constraints. The accuracy and efficiency of the milling process simulation model are demonstrated experimentally.

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30

Wassermann, Benjamin, Stefan Kollmannsberger, Tino Bog, and Ernst Rank. "From geometric design to numerical analysis: A direct approach using the Finite Cell Method on Constructive Solid Geometry." Computers & Mathematics with Applications 74, no. 7 (October 2017): 1703–26. http://dx.doi.org/10.1016/j.camwa.2017.01.027.

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31

Ligocki, T. J., P. O. Schwartz, J. Percelay, and P. Colella. "Embedded boundary grid generation using the divergence theorem, implicit functions, and constructive solid geometry." Journal of Physics: Conference Series 125 (July 1, 2008): 012080. http://dx.doi.org/10.1088/1742-6596/125/1/012080.

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32

Ming, Huang, Du Yanzhu, Zhang Jianguang, and Zhang Yong. "A topological enabled three-dimensional model based on constructive solid geometry and boundary representation." Cluster Computing 19, no. 4 (September 8, 2016): 2027–37. http://dx.doi.org/10.1007/s10586-016-0634-1.

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33

Барский, Игорь Борисович, and Ирина Николаевна Сергеева. "Geometric Constructions On a Plane with a Single Ruler." Russian Digital Libraries Journal 22, no. 6 (December 15, 2019): 522–30. http://dx.doi.org/10.26907/1562-5419-2019-22-6-522-530.

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One section of a special course “Constructive Solid Geometry” is presented in this paper in short. The course is conducted to the students of Mari State University who are future Math's teachers. The material is arranged in such a way that it can be recommended to all Math's teachers as a part of their special course in their schools.

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34

MIYAMOTO, Takao, Sadahiko NAGAE, and Setsuo FUKUNAGA. "On Constructive Method and Its Applications for Solid Models Applied to the Descriptive Geometry (1)." Journal of Graphic Science of Japan 20, no. 1 (1986): 1–8. http://dx.doi.org/10.5989/jsgs.20.1.

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35

Natekar, Devendra, Xuefeng Zhang, and Ganesh Subbarayan. "Constructive solid analysis: a hierarchical, geometry-based meshless analysis procedure for integrated design and analysis." Computer-Aided Design 36, no. 5 (April 2004): 473–86. http://dx.doi.org/10.1016/s0010-4485(03)00129-5.

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36

Zhu, Junxiang, Peng Wu, Mengcheng Chen, Mi Jeong Kim, Xiangyu Wang, and Tingchen Fang. "Automatically Processing IFC Clipping Representation for BIM and GIS Integration at the Process Level." Applied Sciences 10, no. 6 (March 15, 2020): 2009. http://dx.doi.org/10.3390/app10062009.

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The integration of building information modeling (BIM) and geographic information system (GIS) is attracting more attention than ever due to its potential benefits for both the architecture, engineering, and construction (AEC) domain and the geospatial industry. The main challenge in BIM and GIS integrated application comes from the fundamental data conversion, especially for the geometric information. BIM and GIS use different modeling paradigms to represent objects. The BIM dataset takes, for example, Industry Foundation Classes (IFC) that use solid models, such as boundary representation (B-Rep), swept solid, constructive solid geometry (CSG), and clipping, while the GIS dataset mainly uses surface models or B-Rep. The fundamental data conversion between BIM and GIS is the foundation of BIM and GIS integrated application. However, the efficiency of data conversion has been greatly impaired by the human intervention needed, especially for the conversion of the clipping geometry. The goal of this study is to automate the conversion of IFC clipping representation into the shapefile format. A process-level approach was developed with an algorithm for instantiating unbounded half spaces using B-Rep. Four IFC models were used to validate the proposed method. The results show that (1) the proposed approach can successfully automate the conversion of IFC clipping representation into the shapefile format; and (2) increasing boundary size has no effect on the file size of unbounded half spaces, but slightly increases the producing time of half spaces and processing time of building components. The efficiency of this study can be further improved by using an open-source package, instead of using the low-efficiency packages provided by ArcGIS.

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37

Cao, Lu, Zhouyu Liu, Qingming He, and Liangzhi Cao. "RESONANCE CALCULATION BASED ON THE GLOBAL-LOCAL METHOD FOR THE COMPLEX GEOMETRY PROBLEMS." EPJ Web of Conferences 247 (2021): 06045. http://dx.doi.org/10.1051/epjconf/202124706045.

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With the development of nuclear reactor, new complicated designs introduce some challenges for the resonance method in the NECP-X code, which is called as the Global-Local method. There are two limitations of the present NECP-X. One is the geometry modeling limitation, and the other one is that the Global-Local resonance method can only deal with the cylindrical fuel rods in the current version. Therefore, some fuels like plate, annular fuels cannot be calculated in the NECP-X code because of these limitations. To overcome above issues, the constructive solid geometry (CSG) method is developed to model the complex problem, and the capability of constructing and solving the equivalent 1D plate and 1D annual fuel pin based on the framework of Global-Local method, is developed. A set of tests are calculated, including multi-annular fuel problems and plate fuel problems. The results show good accuracy of the new developed resonance self-shielding method.

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38

FANG, LINCONG, DOMINIQUE MICHELUCCI, and SEBTI FOUFOU. "EQUATIONS AND INTERVAL COMPUTATIONS FOR SOME FRACTALS." Fractals 26, no. 04 (August 2018): 1850059. http://dx.doi.org/10.1142/s0218348x18500597.

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Very few characteristic functions, or equations, are reported so far for fractals. Such functions, called Rvachev functions in function-based modeling, are zero on the boundary, negative for inside points and positive for outside points. This paper proposes Rvachev functions for some classical fractals. These functions are convergent series, which are bounded with interval arithmetic and interval analysis in finite time. This permits to extend the Recursive Space Subdivision (RSS) method, which is classical in Computer Graphics (CG) and Interval Analysis, to fractal geometric sets. The newly proposed fractal functions can also be composed with classical Rvachev functions today routinely used in Constructive Solid Geometry (CSG) trees of CG or function-based modeling.

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39

Zhang, Yan Rui, Hai Xia Bi, Tie Cheng Wang, and Shi Jie Li. "The Modeling and Simulation of Digital Lathe Based on OpenGL." Advanced Materials Research 988 (July 2014): 659–62. http://dx.doi.org/10.4028/www.scientific.net/amr.988.659.

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In the article, a digital machining environment of CNC lathe is established. On the basis of the idea of Constructive Solid Geometry method, the system consists of the blank display model, the tool and fixture model, CNC machining program editing model and machining simulation model. By making use of VC++ and OpenGL graphics technology the program is done for machine tool motion simulation and cutting simulation. It is an effective accessory tool in the application of CNC lathe to digital production.

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40

Hammad, Amin, Cheng Zhang, Mohamed Al-Hussein, and Germain Cardinal. "Equipment workspace analysis in infrastructure projects." Canadian Journal of Civil Engineering 34, no. 10 (October 1, 2007): 1247–56. http://dx.doi.org/10.1139/l07-048.

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Workspace conflicts are one of the important problems that can delay construction activities, reduce productivity, or cause accidents that threaten the safety of workers. Workspace planning is particularly important in the case of large infrastructure projects, such as bridge construction, and rehabilitation projects where equipment with complex workspace requirement is required. This paper aims to extend the previous research on workspace representation and analysis in the case of large infrastructure projects focusing on the following issues: (i) specific representation of equipment workspaces using composite shapes, (ii) semiautomatic generation and analysis of workspaces, and (iii) development of a prototype system that can generate workspaces and detect spatiotemporal conflicts in a three-dimensional environment. The computational aspects of the proposed approach are discussed and demonstrated through the development of a prototype system, which has been applied in a case study of the deck replacement of Jacques Cartier Bridge in Montréal.Key words: workspace analysis, spatiotemporal conflicts, construction equipment, infrastructure projects, bridge redecking, constructive solid geometry.

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41

Pandey, Anmol, Rituparna Datta, and Bishakh Bhattacharya. "Topology optimization of compliant structures and mechanisms using constructive solid geometry for 2-d and 3-d applications." Soft Computing 21, no. 5 (September 4, 2015): 1157–79. http://dx.doi.org/10.1007/s00500-015-1845-8.

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42

Rausch, Sascha, Tobias Siebrecht, Petra Kersting, and Dirk Biermann. "Analysis and Simulation of Surface Topographies in Grinding of Thermally Sprayed Coatings." Advanced Materials Research 1018 (September 2014): 91–98. http://dx.doi.org/10.4028/www.scientific.net/amr.1018.91.

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The abrasive-wear resistance and the lifetime of tribologically stressed free-formed surfaces of forming tools can be increased by thermally sprayed tungsten carbide coatings. In order to improve the surface quality and the shape accuracy, the workpieces must be machined prior to industrial application. A suitable machining process is NC grinding on five-axis machining centres using abrasive mounted points. However, the high hardness of the applied coatings and the small diameter of the utilized tools pose a great challenge for the process design. In order to optimize the grinding process and predict the resulting surface topography, a geometric-kinematic simulation based on the modelling of individual grains using Constructive Solid Geometry techniques was developed. In this paper, the results of fundamental investigations on grinding tungsten carbide coatings and the developed process simulation are presented.

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43

Garcia, Mario A., and Michael Kaliske. "Isogeometric Analysis for Tire Simulation at Steady-State Rolling." Tire Science and Technology 47, no. 3 (July 1, 2019): 174–95. http://dx.doi.org/10.2346/tire.19.170164.

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ABSTRACT The use of isogeometric analysis (IGA) in industrial applications has increased in the past years. One of the main advantages is the combination of finite element analysis (FEA) with the capability of representing the exact geometry by means of non-uniform rational B-splines (NURBS). This framework has proven to be an efficient alternative to standard FEA in solid mechanics and fluid dynamics, in cases in which sensitivity to geometry is found. The numerical simulation of rolling tires requires a proper discretization for the curved boundaries and complex cross sections, which often leads to the use of higher-order or cylindrical elements. As remeshing operations are numerically costly in tire models, IGA stands as an attractive alternative for the modeling of rolling tires. In this contribution, an arbitrary Lagrangian Eulerian formulation is implemented into IGA to provide the basic tools for the numerical analysis of rolling bodies at steady-state conditions. The solid basis of the formulation allows the employment of standard material models, but tire constructive elements, such as reinforcing layers, require special attention. Streamlines are constructed based on the locations of the integration points, and therefore, linear and nonlinear viscoelastic models can be implemented. Numerical examples highlight the advantage of the new approach of requiring fewer degrees of freedom for an accurate description of the geometry.

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44

Yang, Xue, and Nader Satvat. "MOCUM: A two-dimensional method of characteristics code based on constructive solid geometry and unstructured meshing for general geometries." Annals of Nuclear Energy 46 (August 2012): 20–28. http://dx.doi.org/10.1016/j.anucene.2012.03.009.

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45

Westhoven, Tim E., C. L. Philip Chen, Yoh-Han Pao, and Steven R. LeClair. "Episodal associative memory approach for sequencing interactive features in process planning." Artificial Intelligence for Engineering Design, Analysis and Manufacturing 6, no. 3 (August 1992): 177–97. http://dx.doi.org/10.1017/s0890060400003061.

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Process planning is the function that converts an engineering design into a manufacturing plan. One of the problems in feature-based process planning is the sequencing of features. Features must be given an order for removal. This order, or sequence, is partially dependent on the geometric relationships between the features. If the geometric relationships between features are such that they dictate a particular sequence, the features are said to have an interaction. Identifying these interactions is an important first step in creating the process plan. An approach to solve this problem using constructive solid geometry operations and the Episodal Associative Memory (EAM) is demonstrated. The EAM is an associative memory that integrates dynamic memory organization and neural computing techniques. The geometric feature relationships can be represented by a pattern. This pattern captures very qualitative information about the geometric positions fo the features. The EAM can organize these patterns into groups of similar geometric relationships. A method for dealing with exceptions, and for retrieving and storing general machining problems associated with interacting features will be described. The system implemented is shown to correctly sequence several types of feature interactions.

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46

Jeong, C., A. Manalaysay, H. N. Gharti, S. Guan, and J. Vignola. "Applicability of 3D Spectral Element Method for Computing Close-Range Underwater Piling Noises." Journal of Theoretical and Computational Acoustics 27, no. 04 (December 2019): 1950012. http://dx.doi.org/10.1142/s2591728519500129.

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Pile driving is used for constructing foundation supports for offshore structures. Underwater noise, induced by in-water pile driving, could adversely impact marine life near the piling location. Many studies have computed this noise in close ranges by using semi-analytical models and Finite Element Method (FEM) models. This work presents a Spectral Element Method (SEM) wave simulator as an alternative simulation tool to obtain close-range underwater piling noise in complex, fully three-dimensional, axially-asymmetric settings in the time domain for impacting force signals with high-frequency contents (e.g., frequencies greater than 1000[Formula: see text]Hz). The presented numerical results show that the flexibility of SEM can accommodate the axially-asymmetric geometry of a model, its heterogeneity, and fluid-solid coupling. We showed that there are multiple Mach Cones of different angles in fluid and sediment caused by the difference in wave speeds in fluid, a pile, and sediment. The angles of Mach Cones in our numerical results match those that are theoretically evaluated. A previous work18 had shown that Mach Cone waves lead to intense amplitudes of underwater piling noise via a FEM simulation in an axis-symmetric setting. Since it modeled sediment as fluid with a larger wave speed than that of water, we examined if our SEM simulation, using solid sediment–fluid coupling, leads to additional Mach Cones. Because this work computes the shear wave in sediment and the downward-propagating shear wave in a pile, we present six Mach Cones in fluid and sediment induced by downward-propagating P- and S-waves in a pile in lieu of two previously-reported Mach Cones in fluid and sediment (modeled as fluid) induced by a downward-propagating P-wave in a pile. We also showed that the amplitudes of the close-range underwater noise are dependent on the cross-sectional geometry of a pile. In addition, when a pile is surrounded by a solid of an axially-asymmetric geometry, waves are reflected from the surface of the surrounding solid back to the fluid so that constructive and destructive interferences of waves take place in the fluid and affect the amplitude of the underwater piling noise.

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47

Li, Bai Chun, Xue Wei Zhang, Lei Geng, Tian Biao Yu, and Wan Shan Wang. "Boolean Operations for the Simulation of Machining Processes Based on the CSG Modeling Technique." Advanced Materials Research 538-541 (June 2012): 951–54. http://dx.doi.org/10.4028/www.scientific.net/amr.538-541.951.

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The simulation of computer numerically control (CNC) machining process is an important component of CAM, it can check errors and enhance the automation of machining process. In order to realize the material removal simulation of machining process through VC++ and OpenGL, this paper does the research on the Boolean operations based on the Constructive Solid Geometry (CSG) modeling technique. Firstly, this paper introduces the CSG technique, especially the creating complex object from simple primitives by the operations of Boolean algebra and the frame buffer. Then this paper achieves the solid modeling of cutter and stock through VC++ and OpenGL, and does the research on the theory of cutter’s swept volume generation. In terms of the theory, a cutter’s swept volume is created. Finally, the Boolean difference operation of a stock and the cutter’s swept volume is realized, and the code is also given.

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48

Huang, Ming, Xueyu Wu, Xianglei Liu, Tianhang Meng, and Peiyuan Zhu. "Integration of Constructive Solid Geometry and Boundary Representation (CSG-BRep) for 3D Modeling of Underground Cable Wells from Point Clouds." Remote Sensing 12, no. 9 (May 4, 2020): 1452. http://dx.doi.org/10.3390/rs12091452.

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The preference of three-dimensional representation of underground cable wells from two-dimensional symbols is a developing trend, and three-dimensional (3D) point cloud data is widely used due to its high precision. In this study, we utilize the characteristics of 3D terrestrial lidar point cloud data to build a CSG-BRep 3D model of underground cable wells, whose spatial topological relationship is fully considered. In order to simplify the modeling process, first, point cloud simplification is performed; then, the point cloud main axis is extracted by OBB bounding box, and lastly the point cloud orientation correction is realized by quaternion rotation. Furthermore, employing the adaptive method, the top point cloud is extracted, and it is projected for boundary extraction. Thereupon, utilizing the boundary information, we design the 3D cable well model. Finally, the cable well component model is generated by scanning the original point cloud. The experiments demonstrate that, along with the algorithm being fast, the proposed model is effective at displaying the 3D information of the actual cable wells and meets the current production demands.

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Marzo, Carla, and Risale Neves. "Stereotomic Design: The Use of Stone in Contemporary Architecture." Key Engineering Materials 848 (June 2020): 165–73. http://dx.doi.org/10.4028/www.scientific.net/kem.848.165.

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Stereotomy, as a constructive technique, has a millennial history that has been optimized over time due to the development of geometry and construction . Using mainly stones specially limestone the stereotomic design takes advantage of the subdivision of solid big structures into smaller different pieces, named ´voussoirs´. These pieces are limited in forms and they work through the assembly of multiple units to create the final structure. Precision in the cuts and the correct placement of each part is crucial to ensure static and structural safety. The development of digital technology which has been taking place through the last decades re-ignited the interest in the use of stones as an essential material to buildings structures. As a result, many experiences took place mixing the use of stones with computerized and manufactoring techniques that , in turn, boost the industry of stone cutting. This paper presents information on the use of stereotomic design through the centuries, focusing on its evolution as a technique and on the results that are showing out in contemporary architecture. Through an analysis of the recovery of stone as a constructive and structural material, it is the aim of this study to establish a general panorama on the results achieved in the field of architecture and design in order to understand the methodologies applied when using the stereotomic technique.

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Shriwise, Patrick C., John R. Tramm, Andrew Davis, and Paul K. Romano. "TOWARDS CAD-BASED GEOMETRY MODELLING WITH THE RANDOM RAY METHOD." EPJ Web of Conferences 247 (2021): 03023. http://dx.doi.org/10.1051/epjconf/202124703023.

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The Advanced Random Ray Code (ARRC) is a high performance computing application capable of high-fidelity simulations of full core nuclear reactor models. ARRC leverages a recently developed stochastic method for neutron transport, known as The Random Ray Method (TRRM), which offers a variety of computational and numerical advantages as compared to existing methods. In particular, TRRM has been shown to be capable of efficient simulation of explicit three dimensional geometry representations without assumptions about axial homogeneity. To date, ARRC has utilized Constructive Solid Geometry (CSG) combined with a nested lattice geometry which works well for typical pressurized water reactors, but is not performant for the general case featuring arbitrary geometries. To facilitate simulation of arbitrarily complex geometries in ARRC efficiently, we propose performing transport directly on Computer-Aided Design (CAD) models of the geometry. In this study, we utilize the Direct-Accelerated Geometry Monte Carlo (DAGMC) toolkit which tracks particles on tessellated CAD geometries using a bounding volume hierarchy to accelerate the process, as a replacement for ARRC’s current lattice-based accelerations. Additionally, we present a method for automatically subdividing the large CAD regions in the DAGMC model into smaller mesh cells required by random ray to achieve high accuracy. We test the new DAGMC geometry implementation in ARRC on several test problems, including a 3D pincells, 3D assemblies, and an axial section of the Advanced Test Reactor. We show that DAGMC allows for simulation of complex geometries in ARRC that would otherwise not be possible using the traditional approach while maintaining solution accuracy.

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