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Learning to segment and unfold polyhedral mesh from failures
Computers & Graphics, 2016Folding planar sheets to make 3D shapes from is an ancient practice with many new applications, ranging from personal fabrication of customized items to design of surgical instruments for minimally invasive surgery in self-folding machines. Given a polyhedral mesh, unfolding is an operation of cutting and flattening the mesh.
Zhonghua Xi +3 more
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Polyhedral Space Curve Meshing Reducer With Multiple Output Shafts
Volume 3: Design, Materials and Manufacturing, Parts A, B, and C, 2012In recent years, a gear named Space Curve Meshing Wheel (SCMW) has been invented based on the meshing theory of space curves instead of classic space surfaces. Well improved in many aspects after its invention, it has been applied within the Space Curve Meshing Reducer (SCMR).
Yangzhi Chen +3 more
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Les in a U-Bend Pipe Meshed by Polyhedral Cells
2005This chapter investigates large eddy simulation of an incompressible fluid in a straight pipe with a circular cross-section. The chapter uses finite volume (FV) method based on polyhedral cells, using synthetic turbulence at the inlet. Results of this non-periodic simulation are quite accurate after 2 diameters from the inlet, showing that the ...
Moulinec, C. +3 more
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Benchmark 3D: Mimetic Finite Difference Method for Generalized Polyhedral Meshes
2011Let ? be a subset of R3 with a Lipschitz continuous boundary. We consider the mixed (velocity-pressure) formulation of the diffusion problem.
K Lipnikov, G Manzini
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Approximate Boolean Operations on Large Polyhedral Solids with Partial Mesh Reconstruction
IEEE Transactions on Visualization and Computer Graphics, 2011We present a new approach to compute the approximate Boolean operations of two freeform polygonal mesh solids efficiently with the help of Layered Depth Images (LDIs). After applying the LDI sampling-based membership classification, the most challenging part, a trimmed adaptive contouring algorithm, is developed to reconstruct the mesh surface from the
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Polyhedral Gauss Maps and Curvature Characterisation of Triangle Meshes
2005We design a set of algorithms to construct and visualise unambiguous Gauss maps for a large class of triangulated polyhedral surfaces, including surfaces of non-convex objects and even non-manifold surfaces. The resulting Gauss map describes the surface by distinguishing its domains of positive and negative curvature, referred to as curvature domains ...
Lyuba Alboul, Gilberto Echeverria
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2024 17th Hypervelocity Impact Symposium
Abstract We present an overset mesh method for Arbitrary Lagrangian Eulerian (ALE) hydrodynamic contact on unstructured polyhedral meshes in the FLAG hydrocode at LANL. This capability enables simulations of contact and sliding between materials where one or both materials deforms too severely for a pure Lagrangian simulation, e.g ...
Nathan Vaughn-Kukura +3 more
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Abstract We present an overset mesh method for Arbitrary Lagrangian Eulerian (ALE) hydrodynamic contact on unstructured polyhedral meshes in the FLAG hydrocode at LANL. This capability enables simulations of contact and sliding between materials where one or both materials deforms too severely for a pure Lagrangian simulation, e.g ...
Nathan Vaughn-Kukura +3 more
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Discrete Laplacians for General Polygonal and Polyhedral Meshes
SIGGRAPH Asia 2023 Courses, 2023Astrid Bunge, Marc Alexa, Mario Botsch
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Discrete Laplacians for general polygonal and polyhedral meshes
This thesis presents several approaches that generalize the Laplace-Beltrami operator and its closely related gradient and divergence operators to arbitrary polygonal and polyhedral meshes. We start by introducing the linear virtual refinement method, which provides a simple yet effective discretization of the Laplacian with the help of the Galerkin ...openaire +1 more source