A Simple Mesh Generator in MATLAB

By Per-Olof Persson, G. Strang. SIAM Review, 2004

1,656 citations recorded by the source corpus.

Subfields: Computer Graphics and Computer-Aided Design, Computer Vision and Pattern Recognition

View Paper: https://www.semanticscholar.org/paper/1affe9e85f78e80f80617f2c509b6a4839532d9e

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In Computer Graphics and Computer-Aided Design

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Citations in the corpus

Polygonal finite elements for topology optimization: A unifying paradigm (2010, background): “In References [8, 13], it is recommended that the domain interior be populated in a quasi-random manner by enforcing a minimum allowable distance between the interior points.”
Exact imposition of boundary conditions with distance functions in physics-informed deep neural networks (2021, methodology): “In other examples that involve more complicated domains, we use the Python library dmsh [95], which draws inspiration from distmesh [96], to create triangular meshes and we use the centroids of the generated triangles as the interior collocation points.”
Seamless cross-scale modeling with SCHISM (2016, methodology): “We generate a circular rid of radius of 3600 m with essentially uniform triangles using istMesh ( Persson and Strang 2004 ).”
Bivariate Penalized Splines for Regression (2013, methodology): “A detailed de- scription of the program is provided in Persson and Strang (2004).”
On the role of polynomials in RBF-FD approximations: II. Numerical solution of elliptic PDEs (2017, methodology): “Other options for creating 2-D node distribution are described in [13, 20].”
Deep Learning the City: Quantifying Urban Perception at a Global Scale (2016, methodology): “We obtained the latitude-longitude values for locations in these cities using a uniform grid [44] of points calculated on top of polygons of city boundaries.”
Systematic image-driven analysis of the spatial Drosophila embryonic expression landscape (2010, methodology): “To generate this mesh, we used a triangular mesh generator that determines the node locations by iteratively solving for equilibrium in a truss structure and adjusting the topology with a Delaunay triangulation algorithm (Persson and Strang, 2004).”
Active Subspace Methods in Theory and Practice: Applications to Kriging Surfaces (2013, neutral): “In principle, one can give these vertices to a mesh generator (e.g., [32]) to create a design on Y .”
Solving PDEs with radial basis functions * (2015, methodology): “The Delaunay-based algorithm in Persson and Strang (2004) offers one convenient option.”
Topology optimization using polytopes (2013, methodology): “In order to mesh complicated geometries, a signed distance function along with set operations such as union, difference, and intersection are used [42,41].”
Minimax and maximin space-filling designs: some properties and methods for construction (2017, positive): “For instance, Persson and Strang (2004) present a mesh generator based on Delaunay triangulation, with repulsion forces between mesh points (exercised along the edges of Delaunay simplices) and repulsion forces acting normally to the boundary of X (just as large to prevent the nodes from moving…”
Perturbation-based stochastic multi-scale computational homogenization method for the determination of the effective properties of composite materials with random properties (2016, methodology): “2 by using DISTMESH2D [32].”
PolyMesher: a general-purpose mesh generator for polygonal elements written in Matlab (2012, methodology): “Inspired by the work of Persson and Strang (2004), we note that this implicit description provides great flexibility to construct a relatively large class of domains with algebraic expressions.”
Estimation and inference in spatially varying coefficient models (2018, methodology): “A detailed description of the program is provided by Persson and Strang (2004). In all the simulation studies and real data analysis below, we used the “DistMesh” to generate the triangulations.”