Academic literature on the topic 'Boolean of Polyhedral Solids'

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Journal articles on the topic "Boolean of Polyhedral Solids"

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I.CHUBAREV, ALEXANDER. "ROBUST SET OPERATIONS ON POLYHEDRAL SOLIDS: A FIXED PRECISION APPROACH." International Journal of Computational Geometry & Applications 06, no. 02 (1996): 187–204. http://dx.doi.org/10.1142/s0218195996000137.

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An approach to the reliable boundary evaluation for polyhedral solids is proposed. The approach is based on the three ideas: an approximate evaluation of the Boolean operations is performed; precise calculations are performed at micro-level by using only exact numbers; triangulations are used for the boundary representation. Test examples illustrating efficiency of the approach are presented.
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JUAN-ARINYO, ROBERT, ÀLVAR VINACUA, and PERE BRUNET. "CLASSIFICATION OF A POINT WITH RESPECT TO A POLYHEDRON VERTEX." International Journal of Computational Geometry & Applications 06, no. 02 (1996): 157–67. http://dx.doi.org/10.1142/s0218195996000113.

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Algorithms for solid boolean operations are strongly based on classifying points with respect to solids. Several algorithms for solving the point-in- polyhedron problem in Brep schemes have been proposed in the literature. In this context, this paper describes an algorithm for the classification of an arbitrary point in the region dose to a polyhe-dron vertex. The algorithm is simple, has linear complexity and does not suffer from singularities. It performs better than previous algorithms, which would be too expensive in this particular case. The proposed algorithm is especially well suited fo
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Wang, C. C. L. "Approximate Boolean Operations on Large Polyhedral Solids with Partial Mesh Reconstruction." IEEE Transactions on Visualization and Computer Graphics 17, no. 6 (2011): 836–49. http://dx.doi.org/10.1109/tvcg.2010.106.

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Toriya, H., T. Takamura, T. Satoh, and H. Chiyokura. "Boolean operations for solids with free-form surfaces through polyhedral approximation." Visual Computer 7, no. 2-3 (1991): 87–96. http://dx.doi.org/10.1007/bf01901179.

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Menon, Jai, and Baining Guo. "Free-Form Modeling in Bilateral Brep and CSG Representation Schemes." International Journal of Computational Geometry & Applications 08, no. 05n06 (1998): 537–75. http://dx.doi.org/10.1142/s0218195998000278.

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This paper presents a unified approach for incorporating free-form solids in bilateral Brep and CSG representation schemes, by resorting to low-degree (quadratic, cubic) algebraic surface patches. We develop a general CSG solution that represents a free-form solid as a boolean combination of a direct term and a complicated delta term. This solution gives rise to the trunctet-subshell conditions, under which the delta term computation can be obviated. We use polyhedral smoothing to construct a Brep consisting of quadratic algebraic patches that meet with tangent-plane continuity, such that the
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Landier, Sâm. "Boolean Operations on Arbitrary Polyhedral Meshes." Procedia Engineering 124 (2015): 200–212. http://dx.doi.org/10.1016/j.proeng.2015.10.133.

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Diazzi, Lorenzo, and Marco Attene. "Convex polyhedral meshing for robust solid modeling." ACM Transactions on Graphics 40, no. 6 (2021): 1–16. http://dx.doi.org/10.1145/3478513.3480564.

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We introduce a new technique to create a mesh of convex polyhedra representing the interior volume of a triangulated input surface. Our approach is particularly tolerant to defects in the input, which is allowed to self-intersect, to be non-manifold, disconnected, and to contain surface holes and gaps. We guarantee that the input surface is exactly represented as the union of polygonal facets of the output volume mesh. Thanks to our algorithm, traditionally difficult solid modeling operations such as mesh booleans and Minkowski sums become surprisingly robust and easy to implement, even if the
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Verroust, A. "Visualization algorithm for CSG polyhedral solids." Computer-Aided Design 19, no. 10 (1987): 527–33. http://dx.doi.org/10.1016/0010-4485(87)90089-3.

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Hoffmann, C. M., J. E. Hopcroft, and M. J. Karasick. "Robust set operations on polyhedral solids." IEEE Computer Graphics and Applications 9, no. 6 (1989): 50–59. http://dx.doi.org/10.1109/38.41469.

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Landier, Sâm. "Boolean operations on arbitrary polygonal and polyhedral meshes." Computer-Aided Design 85 (April 2017): 138–53. http://dx.doi.org/10.1016/j.cad.2016.07.013.

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Dissertations / Theses on the topic "Boolean of Polyhedral Solids"

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ARRUDA, MARCOS CHATAIGNIER DE. "BOOLEAN OPERATIONS WITH COMPOUND SOLIDS REPRESENTED BY BOUNDARY." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2005. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=6688@1.

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COORDENAÇÃO DE APERFEIÇOAMENTO DO PESSOAL DE ENSINO SUPERIOR<br>TECNOLOGIA EM COMPUTAÇÃO GRÁFICA<br>Num modelador de sólidos, uma das ferramentas mais poderosas para a criação de objetos tridimensionais de qualquer nível de complexidade geométrica é a aplicação das operações booleanas. Elas são formas intuitivas e populares de combinar sólidos, baseadas nas operações aplicadas a conjuntos. Os tipos principais de operações booleanas comumente aplicadas a sólidos são: união, interseção e diferença. Havendo interesse prático, para garantir que os objetos resultantes possuam a mesma dimensão
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VELAYUTHAM, PRAKASH SANKAREN. "AN EFFICIENT ALGORITHM FOR CONVERTING POLYHEDRAL OBJECTS WITH WINGED-EDGE DATA STRUCTURE TO OCTREE DATA STRUCTURE." University of Cincinnati / OhioLINK, 2005. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1109366602.

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Sathua, Chandra Sekhar. "Multi-linear Disassembly Path Determination: A Geometric Approach." Thesis, 2022. https://etd.iisc.ac.in/handle/2005/5859.

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This thesis presents a geometric approach for determining the orientation-preserving disassembly paths of polyhedral assembly components. Exact disassembly path determination of the components is essential because the reversal of the disassembly paths provides the paths for the components to assemble into a functional product. Single straight-line paths for disassembly algorithms are available in the literature. Multilinear disassembly requires the determination of the exact Minkowski sum. Minkowski sum approaches, which are related to configuration space, have been used in path planning in
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Biswas, Arpan. "Segmentation And Parameter Assignment In Constructing Continuous Model From Discrete Representation." Thesis, 1997. https://etd.iisc.ac.in/handle/2005/1764.

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Biswas, Arpan. "Segmentation And Parameter Assignment In Constructing Continuous Model From Discrete Representation." Thesis, 1997. http://etd.iisc.ernet.in/handle/2005/1764.

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(9435722), Pavankumar Vaitheeswaran. "Interface Balance Laws, Growth Conditions and Explicit Interface Modeling Using Algebraic Level Sets for Multiphase Solids with Inhomogeneous Surface Stress." Thesis, 2020.

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Interface balance laws are derived to describe transport across a phase interface. This is used to derive generalized conditions for phase nucleation and growth, valid even for solids with inhomogeneous surface stress.<div><br></div><div>An explicit interface tracking approach called Enriched Isogeometric Analysis (EIGA) is used to simulate phase evolution. Algebraic level sets are used as a measure of distance and for point projection, both necessary operations in EIGA. Algebraic level sets are observed to often fail for surfaces. Rectification measures are developed to make algebraic level s
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Book chapters on the topic "Boolean of Polyhedral Solids"

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Toriya, H., T. Takamura, T. Satoh, and H. Chiyokura. "Boolean Operations of Solids with Free-From Surfarces Through Polyhedral Approximation." In New Advances in Computer Graphics. Springer Japan, 1989. http://dx.doi.org/10.1007/978-4-431-68093-2_26.

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Ayala, D., P. Brunet, R. Joan-Arinyo, and I. Navazo. "Multiresolution Approximation of Polyhedral Solids." In CAD Systems Development. Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/978-3-642-60718-9_23.

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Andújar, Carlos, Dolors Ayala, and Pere Brunet. "Validity-Preserving Simplification of Very Complex Polyhedral Solids." In Eurographics. Springer Vienna, 1999. http://dx.doi.org/10.1007/978-3-7091-6805-9_1.

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Satoh, T., T. Takamura, H. Toriya, and H. Chiyokura. "Boolean Operations on Solids Bounded by a Variety of Surfaces." In Modeling in Computer Graphics. Springer Japan, 1991. http://dx.doi.org/10.1007/978-4-431-68147-2_9.

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Priyakumari, Chakkingal P., and Eluvathingal D. Jemmis. "Electron-Counting Rules in Cluster Bonding - Polyhedral Boranes, Elemental Boron, and Boron-Rich Solids." In The Chemical Bond. Wiley-VCH Verlag GmbH & Co. KGaA, 2014. http://dx.doi.org/10.1002/9783527664658.ch5.

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"Boolean Operations and Composite Solids." In Modelling with AutoCAD 2000. Routledge, 2012. http://dx.doi.org/10.4324/9780080511887-34.

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McFarlane, Bob. "Boolean operations and composite solids." In Modelling with Autocad 2004. Elsevier, 2004. http://dx.doi.org/10.1016/b978-0-7506-6433-2.50034-7.

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McFarlane, Bob. "Boolean operations and composite solids." In Modelling with Autocad 2002. Elsevier, 2002. http://dx.doi.org/10.1016/b978-0-08-051189-4.50035-2.

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Conference papers on the topic "Boolean of Polyhedral Solids"

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Rashid, Mark M., Mili Selimotic, and Tarig Dinar. "General Polyhedral Finite Elements for Rapid Nonlinear Analysis." In ASME 2008 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2008. http://dx.doi.org/10.1115/detc2008-49248.

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An analysis system for solid mechanics applications is described in which a new finite element method that can accommodate general polyhedral elements is exploited. The essence of the method is direct polynomial approximation of the shape functions on the physical element, without transformation to a canonical element. The main motive is elimination of the requirement that all elements be similar to a canonical element via the usual isoparametric mapping. It is this topological restriction that largely drives the design of mesh-generation algorithms, and ultimately leads to the considerable hu
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Bao, Zhuojun. "Extended Bintrees for Representing the Spatial Decomposition of 3D Objects." In ASME 1999 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/detc99/dac-8683.

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Abstract Extended bintree as a new class of approximation models for solid modeling is presented in this paper. Based on the bintree data structure, it allows face, edge and vertex node types as well as the classical black, white and grey nodes. Using extended bintrees, Boolean operations can be carried out and are used to generate a new object representation. The required memory is less than that in term of bintree, that is a generalization of the quadtree and octree. This gives a new efficient way to represent polygonal and polyhedral objects exactly. The extended bintree is a general method
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Daniels, Joel, Elaine Cohen, and David Johnson. "Converting Molecular Meshes Into Smooth Interpolatory Spline Solid Models." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-85363.

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The study and understanding of molecules, once the domain of blackboards and stick-and-ball models, has become more and more exclusively linked to the use of computer-aided visualizations. Our project seeks to return the physical facsimile to the biologists, allowing the use of tactile senses while interacting with and manipulating a physical model, thus aiding educational and research endeavors. To increase the effectiveness of such a tool, the model is constructed such that multiple levels of information are viewable within the single physical form, stressing the interaction between the asso
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Shuai Zheng, Jun Hong, and Kang Jia. "Boolean operations on triangulated solids." In 2013 IEEE International Symposium on Assembly and Manufacturing (ISAM). IEEE, 2013. http://dx.doi.org/10.1109/isam.2013.6643476.

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Biermann, Henning, Daniel Kristjansson, and Denis Zorin. "Approximate Boolean operations on free-form solids." In the 28th annual conference. ACM Press, 2001. http://dx.doi.org/10.1145/383259.383280.

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Adams, Bart, and Philip Dutré. "Interactive boolean operations on surfel-bounded solids." In ACM SIGGRAPH 2003 Papers. ACM Press, 2003. http://dx.doi.org/10.1145/1201775.882320.

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Zhang, B., L. Deng, P. Liu, W. Wang, and X. Wang. "Particle Tracking Optimization for Boolean Solids in JCOGIN." In 2020 ANS Virtual Winter Meeting. AMNS, 2020. http://dx.doi.org/10.13182/t123-33341.

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Srinivas, Y. L., and Debasish Dutta. "A Solution to the Missing-View Problem for Polyhedral Solids." In ASME 1991 Design Technical Conferences. American Society of Mechanical Engineers, 1991. http://dx.doi.org/10.1115/detc1991-0126.

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Abstract An algorithm for generating the missing view corresponding to a given pair of orthoghonal views of a polyhedral solid is presented. The solution involves reconstructing the solids from the partial information given and then generating the missing view. The input is a vertex connectivity matrix describing the given views. Reconstruction of solids from incomplete orthographic views will have applications in computer-aided design, machine vision and automated inspection systems.
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Menon, Sreekumar, and Yong Se Kim. "Handling Blending Features in Form Feature Recognition Using Convex Decomposition." In ASME 1994 International Computers in Engineering Conference and Exhibition and the ASME 1994 8th Annual Database Symposium collocated with the ASME 1994 Design Technical Conferences. American Society of Mechanical Engineers, 1994. http://dx.doi.org/10.1115/cie1994-0390.

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Abstract Form features intrinsic to the product shape can be recognized using a convex decomposition called Alternating Sum of Volumes with Partitioning (ASVP). However, the domain of geometric objects to which ASVP decomposition can be applied had been limited to polyhedral solids due to the difficulty of convex hull construction for solids with curved boundary faces. We develop an approach to extend the geometric domain to solids having cylindrical and blending features. Blending surfaces are identified and removed from the boundary representation of the solid, and a polyhedral model of the
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Hubbard, Carol, and Yong Se Kim. "Geometric Assistance for the Construction of Non-Polyhedral Solids From Orthographic Views." In ASME 1997 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/detc97/cie-4288.

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Abstract As the extensive use of solid models becomes widespread, it is important to have a mechanism by which existing engineering drawings can be converted into solid models. Therefore, a geometric assistant which can aid in the construction of solid models is beneficial. In this paper, we present key operations for a system called the Assistant for the Rapid Construction of Solids (ARCS), that provides this assistance given a set of two orthographic views. ARCS is based on the Visual Reasoning Tutor (VRT), a system we developed that provides users with the geometric framework to build polyh
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