Metric 3D Surface Mesh Generation Using Delaunay Criteria

Jurczyk, Tomasz; Głut, Barbara

doi:10.1007/11758525_40

Cited by 5 publications

(3 citation statements)

References 5 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Depending on the application, the control space may have a different structure; e.g., quadtree/octree grid or background mesh, with sizing data in the form of a metric tensor stored in nodes of those grids and metric within the leaves being calculated using appropriate shape functions. In our approach, the metric tensor stored in the nodes of control space is represented by a metric transformation matrix [10,14].…”

Section: Control Space Structurementioning

confidence: 99%

Preparation of Control Space for Remeshing of Polygonal Surfaces

Jurczyk¹,

Głut²

2013

csci

View full text Add to dashboard Cite

The subject of the article concerns the issues of remeshing, transforming a polygonal mesh into a triangular mesh adapted to its surface. From the initial polygonal mesh, the curvature of surface and boundary is retrieved and used to calculate a metric tensor varying in three-dimensional space. In the proposed approach, the curvature is computed using local approximation of surfaces and curves on the basis of vertices of the polygonal mesh. An essential part of the presented remeshing procedure is a creation of a control space structure based on the retrieved discrete data. The subsequent process of remeshing is then supervised by the contents of this auxiliary structure. The article presents various aspects related to the procedure of initialization, creation, and adjustment of the control space structure.

show abstract

Section: Control Space Structurementioning

confidence: 99%

Preparation of Control Space for Remeshing of Polygonal Surfaces

Jurczyk¹,

Głut²

2013

csci

View full text Add to dashboard Cite

show abstract

“…The mesh generator developed by Authors creates finite element meshes using the information gathered in a control space [7]. The main information stored in this control space is a metric, which allows creation of meshes with varying size and shape of elements.…”

Section: Construction Of Interface Meshmentioning

confidence: 99%

Parallel 3D Mesh Generation using Geometry Decomposition

Jurczyk¹,

Głut²,

Breitkopf³

2007

AIP Conference Proceedings

Self Cite

View full text Add to dashboard Cite

Automatic mesh generation in finite element analysis using dynamic bubble system Abstract. The paper refers to the problem of parallel generation of 3D meshes for complex objects. Simulation of processes using finite element method (FEM) consists essentially of two phases: generation of finite element mesh and solving the appropriate set of algebraic equations. The parallel solving of such problems has been often reduced to sequential generation of a mesh and than decomposing of this mesh. The latter operation was usually performed sequentially as well. In such approach the only part being parallelized is the solver. In the recent years much attention has been directed to the task of parallelization of the mesh generation process. The need for considering this problem results mainly from the fact that the simulations are currently being run on meshes with very large number of elements. In such cases the sequential generation of meshes poses significant problems regarding both the amount of the required memory and the discretization time.In this work there is described the decomposition strategy of the initial surface 3D mesh for subsequent generation of the volume mesh. Surface meshes are the input data which are being decomposed into sub-domains by cutting them with separators. Next, the surface meshes are constructed for the separator, which are closing the new sub-domains. There is ensured the compatibility of the surface meshes at the interface. This procedure is being continued until the prescribed number of sub-domains is reached. Generation of volume meshes can then be performed for each closed sub-domain on the parallel computer. As a result, the whole volume mesh needn't be stored in the memory of the single computational node. During the simulation phase there is interchanged only the information about the interface meshes, which stay compatible. Moreover, for single-processor unit, the method can give additional benefits. It's possible to partition the domain depending on the amount of the available memory and then generate the volume meshes sequentially for each sub-domain. This approach allows to use the sequential mesh generator without any modifications.

show abstract

“…Additionally, the concept of metric transformation tensor M was introduced in order to increase the efficiency of using the metric in the generator. The relationship between metric M and tensor M has been described in detail in previous works (e.g., [12][13][14]). The sources of the metric are different depending on the nature of the area and the specific application of the mesh, so they may have an unacceptably large discrepancy.…”

Section: Introductionmentioning

confidence: 99%

Tree-based Control Space Structures for Discrete Metric Sources in 3D Meshing

Głut¹,

Jurczyk²

2019

csci

Self Cite

View full text Add to dashboard Cite

This article compares the different variations of the octree and kd-tree structures used to create a control space based on a set of discrete metric point-sources. The control space thus created supervises the generation of the mesh providing efficient access to the required information on the desired shape and size of the mesh elements at each point of the discretized domain. Structures are compared in terms of computational and memory complexity as well as regarding the accuracy of the approximation of the set of discrete metric sources in the created control space structure.

show abstract

Metric 3D Surface Mesh Generation Using Delaunay Criteria

Cited by 5 publications

References 5 publications

Preparation of Control Space for Remeshing of Polygonal Surfaces

Preparation of Control Space for Remeshing of Polygonal Surfaces

Parallel 3D Mesh Generation using Geometry Decomposition

Tree-based Control Space Structures for Discrete Metric Sources in 3D Meshing

Contact Info

Product

Resources

About