Automatic quadrilateral mesh generation for FEM using dynamic bubble system

Nagakura, Satoshi; Noguchi, So; Kaneda, Kazufumi; Yamashita, Hideo; Čingoski, Vlatko

doi:10.1109/20.952652

Cited by 8 publications

(3 citation statements)

References 1 publication

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“…Quads are systematically combined at the front, advancing towards the interior of the area. The node placement process [17,14,10] is made of two stages the positions of the nodes are computed first and their connectivity is decided next. The third approach uses subdivision surfaces and differs in the nature of data input.…”

Section: Related Workmentioning

confidence: 99%

Sketch-based garment design with quad meshes

Yasseen

Nasri

Boukaram

et al. 2013

Computer-Aided Design

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Garment creation continues to be the most tedious part of the virtual clothing process. In this paper, we present an easy to use sketch-based cloth modeling approach. Contours can be easily sketched on a mannequin to generate quad meshes to represent pieces of cloth already fit and draped. Typically, the clothing process depends highly on the meshing scheme that has to infer its geometry from the input boundary. Our quad meshing scheme is based on discrete Coons patches but with arbitrary boundary input. We also apply the permanence principle to our topological solution to allow more control over the influence of the input boundary polyline on the interior output polygonal mesh. This facilitates the creation of folds that are strongest in curvature at the boundary and which diminish towards the interior. The generated garments can then be easily animated in a simulation system based on Finite Elements, using a rediscretization of the generated mesh and a reconstructed metric of the cloth surface.

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Section: Related Workmentioning

confidence: 99%

Sketch-based garment design with quad meshes

Yasseen

Nasri

Boukaram

et al. 2013

Computer-Aided Design

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“…This method generates point sets and the Delaunay triangulation technique is used for mesh generation. Yokoyama [19] proposed an algorithm for three-dimensional bubble mesh generation. In this method, many points were inserted by the mapping-based method.…”

Section: Introductionmentioning

confidence: 99%

A Clustering-Based Bubble Method for Generating High-Quality Tetrahedral Meshes of Geological Models

Wang

Sun

et al. 2020

Applied Sciences

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High-quality mesh generation is critical in the finite element analysis of displacements and stabilities of geological bodies. In this paper, we propose a clustering-based bubble method for generating high-quality tetrahedral meshes of geological models. The proposed bubble method is conducted based on the spatial distribution of the point set of given surface meshes using the clustering method. First, the inputted geological models consisting of triangulated surface meshes are divided into several parts based on spatial distribution of point set, which can be used for the determination of the positions and radii of initial bubbles. Second, a procedure based on distance of nearby bubbles is used to obtain the initial size of bubbles. Third, by enforcing the forces acting on bubbles, all bubbles inside the 3D domain reach an equilibrium state by the motion control equations. Finally, the center nodes of the bubbles can form a high-quality node distribution in the domain, and then the required tetrahedral mesh is generated. Comparative benchmarks are presented to demonstrate that the proposed method is capable of generating highly well-shaped tetrahedral meshes of geological models.

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“…Consequently, two other methods [5], [6] for magnetic flux line allocation using the bubble system [7]- [9], which provide the allocation of magnetic flux lines that satisfies rule 1) were proposed. However, the major drawback of these methods was their extremely long computation time to simulate the bubbles' movement.…”

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confidence: 99%

Fast Magnetic Flux Line Allocation Algorithm for Interactive Visualization Using Magnetic Flux Line Existence Probability

et al. 2016

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The visualization of magnetic flux lines is one of the most effective ways to intuitively grasp a magnetic field. The depiction of continuous and smooth magnetic flux lines according to the magnetic field is of paramount importance. Thus, it is important to adequately allocate the distribution of magnetic flux lines in the analyzed space. We have already proposed two methods of determining the allocation of magnetic flux lines in 3-D space. However, both the methods exhibited a long computation time to determine the allocation of magnetic flux lines. For solving this problem, in this paper, we propose a new improved method for the correct allocation of magnetic flux lines in the 3-D space with modest computational cost. The main advantages of this method are shorter computation time, correct allocation of the magnetic flux lines, and, especially, short computation time for the visualization of magnetic flux lines when changes in the number of depicted flux lines are requested

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Automatic quadrilateral mesh generation for FEM using dynamic bubble system

Cited by 8 publications

References 1 publication

Sketch-based garment design with quad meshes

Sketch-based garment design with quad meshes

A Clustering-Based Bubble Method for Generating High-Quality Tetrahedral Meshes of Geological Models

Fast Magnetic Flux Line Allocation Algorithm for Interactive Visualization Using Magnetic Flux Line Existence Probability

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