Academic literature on the topic 'Meshes'

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Journal articles on the topic "Meshes"

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Kuo, Hung-Ju, and Neil S. Trudinger. "meshes." Duke Mathematical Journal 91, no. 3 (February 1998): 587–607. http://dx.doi.org/10.1215/s0012-7094-98-09122-0.

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Ren, Yingying, Uday Kusupati, Julian Panetta, Florin Isvoranu, Davide Pellis, Tian Chen, and Mark Pauly. "Umbrella meshes." ACM Transactions on Graphics 41, no. 4 (July 2022): 1–15. http://dx.doi.org/10.1145/3528223.3530089.

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We present a computational inverse design framework for a new class of volumetric deployable structures that have compact rest states and deploy into bending-active 3D target surfaces. Umbrella meshes consist of elastic beams, rigid plates, and hinge joints that can be directly printed or assembled in a zero-energy fabrication state. During deployment, as the elastic beams of varying heights rotate from vertical to horizontal configurations, the entire structure transforms from a compact block into a target curved surface. Umbrella Meshes encode both intrinsic and extrinsic curvature of the target surface and in principle are free from the area expansion ratio bounds of past auxetic material systems. We build a reduced physics-based simulation framework to accurately and efficiently model the complex interaction between the elastically deforming components. To determine the mesh topology and optimal shape parameters for approximating a given target surface, we propose an inverse design optimization algorithm initialized with conformal flattening. Our algorithm minimizes the structure's strain energy in its deployed state and optimizes actuation forces so that the final deployed structure is in stable equilibrium close to the desired surface with few or no external constraints. We validate our approach by fabricating a series of physical models at various scales using different manufacturing techniques.
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Yuksel, Cem, Scott Schaefer, and John Keyser. "Hair meshes." ACM Transactions on Graphics 28, no. 5 (December 2009): 1–7. http://dx.doi.org/10.1145/1618452.1618512.

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Molloy, D., and P. F. Whelan. "Active-meshes." Pattern Recognition Letters 21, no. 12 (November 2000): 1071–80. http://dx.doi.org/10.1016/s0167-8655(00)00069-6.

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Richter, Ronald, and Marc Alexa. "Beam meshes." Computers & Graphics 53 (December 2015): 28–36. http://dx.doi.org/10.1016/j.cag.2015.08.007.

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Thiery, Jean-Marc, Émilie Guy, and Tamy Boubekeur. "Sphere-Meshes." ACM Transactions on Graphics 32, no. 6 (November 2013): 1–12. http://dx.doi.org/10.1145/2508363.2508384.

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Averseng, Martin, Xavier Claeys, and Ralf Hiptmair. "Fractured meshes." Finite Elements in Analysis and Design 220 (August 2023): 103907. http://dx.doi.org/10.1016/j.finel.2022.103907.

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Hettinga, Gerben J., Rowan van Beckhoven, and Jiří Kosinka. "Noisy gradient meshes: Augmenting gradient meshes with procedural noise." Graphical Models 103 (May 2019): 101024. http://dx.doi.org/10.1016/j.gmod.2019.101024.

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Bos, Len, and Marco Vianello. "Tchakaloff polynomial meshes." Annales Polonici Mathematici 122, no. 3 (2019): 221–31. http://dx.doi.org/10.4064/ap181031-26-3.

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Friedel, Ilja, Peter Schröder, and Andrei Khodakovsky. "Variational normal meshes." ACM Transactions on Graphics 23, no. 4 (October 2004): 1061–73. http://dx.doi.org/10.1145/1027411.1027418.

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Dissertations / Theses on the topic "Meshes"

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Valachová, Michaela. "Progressive Meshes." Master's thesis, Vysoké učení technické v Brně. Fakulta informačních technologií, 2012. http://www.nusl.cz/ntk/nusl-236577.

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This thesis introduces a representation of graphical data, progressive meshes, and its fields of usage. The main part of this work is mathematical representation of progressive meshes and the simplification algorithm, which leads to this representation. Examples of changes in progressive mesh representation are also part of this thesis, along with few examples. The result is an application that implements the calculation of the Progressive Meshes model representation
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Feuillet, Rémi. "Embedded and high-order meshes : two alternatives to linear body-fitted meshes." Thesis, Université Paris-Saclay (ComUE), 2019. http://www.theses.fr/2019SACLY010/document.

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La simulation numérique de phénomènes physiques complexes requiert généralement l’utilisation d’un maillage. En mécanique des fluides numérique, cela consisteà représenter un objet dans un gros volume de contrôle. Cet objet étant celui dont l’on souhaite simuler le comportement. Usuellement, l’objet et la boîte englobante sont représentés par des maillage de surface linéaires et la zone intermédiaire est remplie par un maillage volumique. L’objectif de cette thèse est de s’intéresser à deux manières différentes de représenter cet objet. La première approche dite immergée consiste à mailler intégralement le volume de contrôle et ensuite à simuler le comportement autour de l’objet sans avoir à mailler explicitement dans le volume ladite géometrie. L’objet étant implicitement pris en compte par le schéma numérique. Le couplage de cette méthode avec de l’adaptation de maillage linéaire est notamment étudié. La deuxième approche dite d’ordre élevé consiste quant à elle consiste à augmenter le degré polynomial du maillage de surface de l’objet. La première étape consiste donc à générer le maillage de surface de degré élevé et ensuite àpropager l’information de degré élevé dans les éléments volumiques environnants si nécessaire. Dans ce cadre-là, il s’agit de s’assurer de la validité de telles modifications et à considérer l’extension des méthodes classiques de modification de maillages linéaires
The numerical simulation of complex physical phenomenons usually requires a mesh. In Computational Fluid Dynamics, it consists in representing an object inside a huge control volume. This object is then the subject of some physical study. In general, this object and its bounding box are represented by linear surface meshes and the intermediary zone is filled by a volume mesh. The aim of this thesis is to have a look on two different approaches for representing the object. The first approach called embedded method consist in integrally meshing the bounding box volume without explicitly meshing the object in it. In this case, the presence of the object is implicitly simulated by the CFD solver. The coupling of this method with linear mesh adaptation is in particular discussed.The second approach called high-order method consist on the contrary by increasing the polynomial order of the surface mesh of the object. The first step is therefore to generate a suitable high-order mesh and then to propagate the high-order information in the neighboring volume if necessary. In this context, it is mandatory to make sure that such modifications are valid and then the extension of classic mesh modification techniques has to be considered
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Zhou, Zhang. "Simplification of triangulated meshes." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp03/MQ31384.pdf.

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Moraes, Rafaela do Nascimento de. "Meshes of the afternoon." reponame:Repositório Institucional da UFSC, 2004. http://repositorio.ufsc.br/handle/123456789/101546.

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Dissertação (mestrado) - Universidade Federal de Santa Catarina, Centro de Comunicação e Expressão, Programa de Pós-Graduação em Letras/Inglês e Literatura Correspondente, Florianópolis, 2004
Made available in DSpace on 2013-07-15T22:32:47Z (GMT). No. of bitstreams: 1 317489.pdf: 3857075 bytes, checksum: ac7e68b73b9413870fc0153917b60761 (MD5)
Abstract : This thesis examines the work of the filmmaker Maya Deren in the light of the aesthetics proposed by her main writings -"An Anagram of Ideas on Art, Form and Film"(1946), "Cinema as an Independent Art Form" (1946), "Cinematography: The Creative Use of Reality"(1960) -, as well as its relations to her first short film Meshes of the Afternoon, placing it among the numerous aesthetic and film trends in which it figured. Her writings depict a solid theoretic background, as well as her attempt to construct what she called "poetic cinema," through the conjunction of various forms of artistic expression. Such an attempt is made no less evident in the analysis of Meshes of the Afternoon, whose dream-like narrative evolves from the peculiar combination of symbolic elements and is responsible for the poetic effect coveted by the filmmaker.

Esta dissertação tem como objetivo examinar o trabalho da cineasta Maya Deren, principalmente no que se refere à estética proposta por ela em seus principais escritos: "An Anagram of Ideas on Art, Film and Form" (1946), "Cinema as an Independent Art Form" (1946) "Cinematography: The Creative Use of Reality" (1960) - e à relação que estes estabelecem com seu primeiro curta-metragem Meshes of the Afternoon, situando-o em meio às inúmeras correntes estéticas e cinematográficas com as quais se relacionou. Seus escritos evidenciam uma formação teórica sólida, bem como sua tentativa de elaborar o que denominou de "poetic cinema,"através do encontro das diversas formas de expressão artística. Esta tentativa fica não menos evidente ao se analisar Meshes of the Afternoon, cuja narrativa de caráter onírico se desenvolve a partir de uma combinação peculiar de elementos simbólicos, responsável pelo efeito poético almejado pela cineasta.
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Apel, Thomas, and Nico Düvelmeyer. "Transformation of hexahedral finite element meshes into tetrahedral meshes according to quality criteria." Universitätsbibliothek Chemnitz, 2006. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200601295.

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The paper is concerned with algorithms for transforming hexahedral finite element meshes into tetrahedral meshes without introducing new nodes. Known algorithms use only the topological structure of the hexahedral mesh but no geometry information. The paper provides another algorithm which can be extented such that quality criteria for the splitting of faces are respected.
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Gonen, Ozgur. "Modeling planar 3-valence meshes." Texas A&M University, 2007. http://hdl.handle.net/1969.1/85883.

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In architectural and sculptural practice, the eventual goal is constructing the shapes that have been designed. Due to fabrication considerations, shapes with planar faces are in demand for these practices. In this thesis, a novel computational modeling approach to design constructible shapes is introduced. This method guarantees that the resulting shapes are planar meshes with 3-valence vertices, which can always be physically constructed using planar or developable materials such as glass, sheet metal or plywood. The method introduced is inspired by the traditional sculpture and is based on the idea of carving a mesh by using slicing planes. The process of determining the slicing planes can either be interactive or automated. A framework is developed which allows user to sculpt shapes by using the in- teractive and automated processes. The framework allows user to cut a source mesh based on its edges, faces or vertices. The user can sculpt various kinds of developable surfaces by cutting the parallel edges of the mesh. The user can also introduce in- teresting conical patterns by cutting dierent vertex, edge, face combinations of the mesh.
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Ågren, Rasmus. "Optimerad rendering av fluid meshes." Thesis, Högskolan i Gävle, Avdelningen för Industriell utveckling, IT och Samhällsbyggnad, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:hig:diva-15433.

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Simuleringen av vätskor är idag en viktig del inom både film-, spel- och reklamindustrin. Detta kräver dock mycket av hårdvaran vilket saktar ner processen att rendera markant. I detta projekt forskades det inom optimering av renderingstekniker för att göra det lättare att rendera fram kvalitativa resultat när man använder sig av fluids i program för 3D-grafik. Arbetet innehåller en undersökning där testpersoner bedömt ett antal renderingar samt de optimerade inställningar som används till rendering
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Pagnutti, Douglas. "Anisotropic adaptation: metrics and meshes." Thesis, University of British Columbia, 2008. http://hdl.handle.net/2429/415.

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We present a method for anisotropic mesh refinement to high-order numerical solutions. We accomplish this by assigning metrics to vertices that approximate the error in that region. To choose values for each metric, we first reconstruct an error equation from the leading order terms of the Taylor expansion. Then, we use a Fourier approximation to choose the metric associated with that vertex. After assigning a metric to each vertex, we refine the mesh anisotropically using three mesh operations. The three mesh operations we use are swapping to maximize quality, inserting at approximate circumcenters to decrease cell size, and vertex removal to eliminate small edges. Because there are no guarantees on the results of these modification tools, we use them iteratively to produce a quasi-optimal mesh. We present examples demonstrating that our anisotropic refinement algorithm improves solution accuracy for both second and third order solutions compared with uniform refinement and isotropic refinement. We also analyze the effect of using second derivatives for refining third order solutions.
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Zheng, Yun. "Computational aerodynamics on unstructed meshes." Thesis, Durham University, 2004. http://etheses.dur.ac.uk/2830/.

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New 2D and 3D unstructured-grid based flow solvers have been developed for simulating steady compressible flows for aerodynamic applications. The codes employ the full compressible Euler/Navier-Stokes equations. The Spalart-Al Imaras one equation turbulence model is used to model turbulence effects of flows. The spatial discretisation has been obtained using a cell-centred finite volume scheme on unstructured-grids, consisting of triangles in 2D and of tetrahedral and prismatic elements in 3D. The temporal discretisation has been obtained with an explicit multistage Runge-Kutta scheme. An "inflation" mesh generation technique is introduced to effectively reduce the difficulty in generating highly stretched 2D/3D viscous grids in regions near solid surfaces. The explicit flow method is accelerated by the use of a multigrid method with consideration of the high grid aspect ratio in viscous flow simulations. A solution mesh adaptation technique is incorporated to improve the overall accuracy of the 2D inviscid and viscous flow solutions. The 3D flow solvers are parallelised in a MIMD fashion aimed at a PC cluster system to reduce the computing time for aerodynamic applications. The numerical methods are first applied to several 2D inviscid flow cases, including subsonic flow in a bump channel, transonic flow around a NACA0012 airfoil and transonic flow around the RAE 2822 airfoil to validate the numerical algorithms. The rest of the 2D case studies concentrate on viscous flow simulations including laminar/turbulent flow over a flat plate, transonic turbulent flow over the RAE 2822 airfoil, and low speed turbulent flows in a turbine cascade with massive separations. The results are compared to experimental data to assess the accuracy of the method. The over resolved problem with mesh adaptation on viscous flow simulations is addressed with a two phase mesh reconstruction procedure. The solution convergence rate with the aspect ratio adaptive multigrid method and the direct connectivity based multigrid is assessed in several viscous turbulent flow simulations. Several 3D test cases are presented to validate the numerical algorithms for solving Euler/Navier-Stokes equations. Inviscid flow around the M6 wing airfoil is simulated on the tetrahedron based 3D flow solver with an upwind scheme and spatial second order finite volume method. The efficiency of the multigrid for inviscid flow simulations is examined. The efficiency of the parallelised 3D flow solver and the PC cluster system is assessed with simulations of the same case with different partitioning schemes. The present parallelised 3D flow solvers on the PC cluster system show satisfactory parallel computing performance. Turbulent flows over a flat plate are simulated with the tetrahedron based and prismatic based flow solver to validate the viscous term treatment. Next, simulation of turbulent flow over the M6 wing is carried out with the parallelised 3D flow solvers to demonstrate the overall accuracy of the algorithms and the efficiency of the multigrid method. The results show very good agreement with experimental data. A highly stretched and well-formed computational grid near the solid wall and wake regions is generated with the "inflation" method. The aspect ratio adaptive multigrid displayed a good acceleration rate. Finally, low speed flow around the NREL Phase 11 Wind turbine is simulated and the results are compared to the experimental data.
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THEDIN, REGIS SANTOS. "TOPOLOGY OPTIMIZATION USING POLYHEDRAL MESHES." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2014. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=37112@1.

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PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO
CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO
A otimização topológica tem se desenvolvido bastante e possui potencial para revolucionar diversas áreas da engenharia. Este método pode ser implementado a partir de diferentes abordagens, tendo como base o Método dos Elementos Finitos. Ao se utilizar uma abordagem baseada no elemento, potencialmente, cada elemento finito pode se tornar um vazio ou um sólido, e a cada elemento do domínio é atribuído uma variável de projeto, constante, denominada densidade. Do ponto de vista Euleriano, a topologia obtida é um subconjunto dos elementos iniciais. No entanto, tal abordagem está sujeita a instabilidades numéricas, tais como conexões de um nó e rápidas oscilações de materiais do tipo sólido-vazio (conhecidas como instabilidade de tabuleiro). Projetos indesejáveis podem ser obtidos quando elementos de baixa ordem são utilizados e métodos de regularização e/ou restrição não são aplicados. Malhas poliédricas não estruturadas naturalmente resolvem esses problemas e oferecem maior flexibilidade na discretização de domínios não Cartesianos. Neste trabalho investigamos a otimização topológica em malhas poliédricas por meio de um acoplamento entre malhas. Primeiramente, as malhas poliédricas são geradas com base no conceito de diagramas centroidais de Voronoi e posteriormente otimizadas para uso em análises de elementos finitos. Demonstramos que o número de condicionamento do sistema de equações associado pode ser melhorado ao se minimizar uma função de energia relacionada com a geometria dos elementos. Dada a qualidade da malha e o tamanho do problema, diferentes tipos de resolvedores de sistemas de equações lineares apresentam diferentes desempenhos e, portanto, ambos os resolvedores diretos e iterativos são abordados. Em seguida, os poliedros são decompostos em tetraedros por um algoritmo específico de acoplamento entre as malhas. A discretização em poliedros é responsável pelas variáveis de projeto enquanto a malha tetraédrica, obtida pela subdiscretização da poliédrica, é utilizada nas análises via método dos elementos finitos. A estrutura modular, que separa as rotinas e as variáveis usadas nas análises de deslocamentos das usadas no processo de otimização, tem se mostrado promissora tanto na melhoria da eficiência computacional como na qualidade das soluções que foram obtidas neste trabalho. Os campos de deslocamentos e as variáveis de projeto são relacionados por meio de um mapeamento. A arquitetura computacional proposta oferece uma abordagem genérica para a solução de problemas tridimensionais de otimização topológica usando poliedros, com potencial para ser explorada em outras aplicações que vão além do escopo deste trabalho. Finalmente, são apresentados diversos exemplos que demonstram os recursos e o potencial da abordagem proposta.
Topology optimization has had an impact in various fields and has the potential to revolutionize several areas of engineering. This method can be implemented based on the finite element method, and there are several approaches of choice. When using an element-based approach, every finite element is a potential void or actual material, whereas every element in the domain is assigned to a constant design variable, namely, density. In an Eulerian setting, the obtained topology consists of a subset of initial elements. This approach, however, is subject to numerical instabilities such as one-node connections and rapid oscillations of solid and void material (the so-called checkerboard pattern). Undesirable designs might be obtained when standard low-order elements are used and no further regularization and/or restrictions methods are employed. Unstructured polyhedral meshes naturally address these issues and offer fl exibility in discretizing non-Cartesians domains. In this work we investigate topology optimization on polyhedra meshes through a mesh staggering approach. First, polyhedra meshes are generated based on the concept of centroidal Voronoi diagrams and further optimized for finite element computations. We show that the condition number of the associated system of equations can be improved by minimizing an energy function related to the element s geometry. Given the mesh quality and problem size, different types of solvers provide different performances and thus both direct and iterative solvers are addressed. Second, polyhedrons are decomposed into tetrahedrons by a tailored embedding algorithm. The polyhedra discretization carries the design variable and a tetrahedra subdiscretization is nested within the polyhedra for finite element analysis. The modular framework decouples analysis and optimization routines and variables, which is promising for software enhancement and for achieving high fidelity solutions. Fields such as displacement and design variables are linked through a mapping. The proposed mapping-based framework provides a general approach to solve three-dimensional topology optimization problems using polyhedrons, which has the potential to be explored in applications beyond the scope of the present work. Finally, the capabilities of the framework are evaluated through several examples, which demonstrate the features and potential of the proposed approach.
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Books on the topic "Meshes"

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The meshes. United States?]: Black Radish Books, 2015.

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Rhodes, John David. Meshes of the Afternoon. London: British Film Institute, 2011. http://dx.doi.org/10.1007/978-1-84457-570-1.

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Schumpelick, Volker, and Lloyd M. Nyhus, eds. Meshes: Benefits and Risks. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-642-18720-9.

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Mavriplis, Dimitri J. Multigrid techniques for unstructured meshes. Hampton, Va: Institute for Computer Applications in Science and Engineering, 1995.

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Dimitri, Mavriplis, and Langley Research Center, eds. Implicit solvers for unstructured meshes. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1991.

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Keating, H. R. F. Inspector Ghote caught in meshes. Chicago, Ill: Academy Chicago Publishers, 1985.

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Keating, H. R. F. Inspector Ghote caught in meshes. London: Severn House, 1985.

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Kainmueller, Dagmar. Deformable Meshes for Medical Image Segmentation. Wiesbaden: Springer Fachmedien Wiesbaden, 2015. http://dx.doi.org/10.1007/978-3-658-07015-1.

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Shahbazi, Khosro. Remapping volume tracking on triangular meshes. Ottawa: National Library of Canada, 2002.

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L, Chase Craig, and Langley Research Center, eds. Parallelization of irregularly coupled regular meshes. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1992.

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Book chapters on the topic "Meshes"

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Ern, Alexandre, and Jean-Luc Guermond. "Meshes." In Finite Elements I, 89–100. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-56341-7_8.

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Mardal, Kent-André, Marie E. Rognes, Travis B. Thompson, and Lars Magnus Valnes. "Introducing Heterogeneities." In Mathematical Modeling of the Human Brain, 47–80. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-95136-8_4.

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AbstractIn this chapter, we will consider how to mark, remove, and mesh different regions of the brain and its environment based on FreeSurfer segmentations. We will create hemisphere meshes differentiating between gray and white matter, create hemisphere meshes without ventricles, create brain meshes by combining the two hemispheres, map parcellations onto brain meshes, and locally refine parcellated brain meshes.
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Brenner, Susanne C., and L. Ridgway Scott. "Adaptive Meshes." In Texts in Applied Mathematics, 235–55. New York, NY: Springer New York, 2002. http://dx.doi.org/10.1007/978-1-4757-3658-8_10.

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Bærentzen, Jakob Andreas, Jens Gravesen, François Anton, and Henrik Aanæs. "Polygonal Meshes." In Guide to Computational Geometry Processing, 83–97. London: Springer London, 2012. http://dx.doi.org/10.1007/978-1-4471-4075-7_5.

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Eardley, Ian, Giulio Garaffa, and David J. Ralph. "Biological Meshes." In Imaging and Technology in Urology, 239–42. London: Springer London, 2012. http://dx.doi.org/10.1007/978-1-4471-2422-1_53.

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Lecheler, Stefan. "Computational Meshes." In Computational Fluid Dynamics, 67–83. Wiesbaden: Springer Fachmedien Wiesbaden, 2022. http://dx.doi.org/10.1007/978-3-658-38453-1_4.

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Hoppe, Hugues. "Progressive Meshes." In Seminal Graphics Papers: Pushing the Boundaries, Volume 2, 111–20. New York, NY, USA: ACM, 2023. http://dx.doi.org/10.1145/3596711.3596725.

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Achilles, Alf-Christian. "Optimal emulation of meshes on meshes of trees." In Lecture Notes in Computer Science, 193–204. Berlin, Heidelberg: Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/bfb0020465.

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Bærentzen, Jakob Andreas, Jens Gravesen, François Anton, and Henrik Aanæs. "Parametrization of Meshes." In Guide to Computational Geometry Processing, 179–90. London: Springer London, 2012. http://dx.doi.org/10.1007/978-1-4471-4075-7_10.

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Cheng, Siu-Wing, and Jiongxin Jin. "Deforming Surface Meshes." In New Challenges in Grid Generation and Adaptivity for Scientific Computing, 69–89. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-06053-8_4.

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Conference papers on the topic "Meshes"

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Christon, Mark, David Hardin, John Compton, and Mary Zosel. "Meshes." In the 1994 ACM/IEEE conference. New York, New York, USA: ACM Press, 1994. http://dx.doi.org/10.1145/602770.602818.

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Kaszynski, Alex A., Joseph A. Beck, and Jeffrey M. Brown. "Automated Meshing Algorithm for Generating As-Manufactured Finite Element Models Directly From As-Measured Fan Blades and Integrally Bladed Disks." In ASME Turbo Expo 2018: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/gt2018-76375.

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Automated tetrahedral meshing from manifold tessellated optical scan data is investigated to determine its viability as an approach for finite element analysis. This approach avoids the costs of constructing a volumetric representation of the scan data that can be meshed with conventional grid generation approaches. This paper demonstrates an auto-meshing algorithm for inserted airfoil and integrally bladed rotor hardware. These automatically generated models are compared to experimentally obtained frequencies and mode shapes for validation. In an effort to compare the fidelity as well as the effect of mesh density on analytical convergence rate, manually generated all-hexahedral models are compared against the auto-meshed tetrahedral finite element models. CPU time, solution accuracy, and mesh convergence are evaluated to determine the viability of automatically generated tetrahedral meshes versus the standard approach of manually generating hex-dominant meshes. This paper demonstrates that given the power of modern CPUs, automatically generated all-tetrahedral meshes can serve as a viable alternative to manually generated hex-dominant finite element models, especially when these meshes can be refined for solution convergence within the auto-mesher. This new approach effectively solves both the mesh convergence problem while demonstrating that models based on as-measured geometry can be rapidly built with virtually no human interaction.
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Guskov, Igor, Kiril Vidimče, Wim Sweldens, and Peter Schröder. "Normal meshes." In the 27th annual conference. New York, New York, USA: ACM Press, 2000. http://dx.doi.org/10.1145/344779.344831.

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Yuksel, Cem, Scott Schaefer, and John Keyser. "Hair meshes." In ACM SIGGRAPH Asia 2009 papers. New York, New York, USA: ACM Press, 2009. http://dx.doi.org/10.1145/1661412.1618512.

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Di Bartolo, Florent. "Performative Meshes." In ARTECH 2019: 9th International Conference on Digital and Interactive Arts. New York, NY, USA: ACM, 2019. http://dx.doi.org/10.1145/3359852.3359876.

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Akleman, Ergun, and Jianer Chen. "Regular meshes." In the 2005 ACM symposium. New York, New York, USA: ACM Press, 2005. http://dx.doi.org/10.1145/1060244.1060268.

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Guskov, Igor, Andrei Khodakovsky, Peter Schröder, and Wim Sweldens. "Hybrid meshes." In the eighteenth annual symposium. New York, New York, USA: ACM Press, 2002. http://dx.doi.org/10.1145/513400.513443.

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Hoppe, Hugues. "Progressive meshes." In the 23rd annual conference. New York, New York, USA: ACM Press, 1996. http://dx.doi.org/10.1145/237170.237216.

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Hudson, Benoît, Gary L. Miller, Todd Phillips, and Don Sheehy. "Size Complexity of Volume Meshes vs. Surface Meshes." In Proceedings of the Twentieth Annual ACM-SIAM Symposium on Discrete Algorithms. Philadelphia, PA: Society for Industrial and Applied Mathematics, 2009. http://dx.doi.org/10.1137/1.9781611973068.113.

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Ollivier Gooch, Carl F. "Generation of Exascale Meshes by Subdivision of Coarse Meshes." In AIAA Scitech 2020 Forum. Reston, Virginia: American Institute of Aeronautics and Astronautics, 2020. http://dx.doi.org/10.2514/6.2020-1404.

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Reports on the topic "Meshes"

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Chew, L. P. Guaranteed-Quality Triangular Meshes. Fort Belvoir, VA: Defense Technical Information Center, April 1989. http://dx.doi.org/10.21236/ada210101.

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D'Azevedo, E. On Optimal Bilinear Quadrilateral Meshes. Office of Scientific and Technical Information (OSTI), March 2000. http://dx.doi.org/10.2172/814808.

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Shapira, Yair. Multigrid for refined triangle meshes. Office of Scientific and Technical Information (OSTI), February 1997. http://dx.doi.org/10.2172/431152.

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Falgout, R. D., T. A. Manteuffel, B. Southworth, and J. B. Schroder. Parallel-In-Time For Moving Meshes. Office of Scientific and Technical Information (OSTI), February 2016. http://dx.doi.org/10.2172/1239230.

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Seidel, S. Broadcasting on linear arrays and meshes. Office of Scientific and Technical Information (OSTI), March 1993. http://dx.doi.org/10.2172/10160814.

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Bar-Noy, Amotz, and David Peleg. Square Meshes are not Always Optimal,. Fort Belvoir, VA: Defense Technical Information Center, August 1988. http://dx.doi.org/10.21236/ada328577.

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Seidel, S. Broadcasting on linear arrays and meshes. Office of Scientific and Technical Information (OSTI), March 1993. http://dx.doi.org/10.2172/6482068.

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Ray, Navamita, and Carter Mason. Data Remapping Between One Dimensional Meshes. Office of Scientific and Technical Information (OSTI), August 2023. http://dx.doi.org/10.2172/1996144.

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Ray, Navamita, Carter Mason, and Daniel Shevitz. Data Remapping Between One-Dimensional Meshes. Office of Scientific and Technical Information (OSTI), August 2023. http://dx.doi.org/10.2172/1996126.

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Ray, Navamita, and Jahi Hudgins. Data Remapping Between One-Dimensional Meshes. Office of Scientific and Technical Information (OSTI), August 2023. http://dx.doi.org/10.2172/1996146.

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