Questions tagged [mesh]
Questions on the use and creation of meshes including the use of MeshRegion, ElementMesh, and TetGenLink.
471
questions
1
vote
1answer
48 views
Find the average of the Fat cantor set based on its distribution
Suppose we have $P:A\to[0,1]$, where $A$ is the fat cantor set denoted as $C$.
We produce $C$ by removing $1/4$ of $[0,1]$ around mid-point $1/2$
$$C_{1}=[0,3/8]\cup [5/8,1]$$
$$C_{1,1}=[0,3/8] \ \ ...
5
votes
1answer
64 views
Piecewise Continuous Linear Basis on a Triangular Mesh
Question
Given a FEM mesh, I would like to define a set of basis functions
anchored to the mesh, so that any piecewise linear continuous function on the mesh can be expanded over that set.
Such a ...
0
votes
1answer
34 views
How to smoothen the mesh lines of a translucent sphere
This code generates a nice sphere with distorted mesh lines, in the sense that they are not smooth enough. One can clearly see many disjoint lines trying to imitate a curve. I would like a smoothened ...
0
votes
0answers
26 views
Torus Hex Mesh - Need Unique Hex Dimensions
I'm looking to laser cut a bunch of hexagons and assemble them into a torus (using hot glue or tape). How do I get the dimensions of the individual unique hexagons? I've seen Create a torus with a ...
6
votes
2answers
83 views
Penalty function on discrete mesh using Laplace-Beltrami operator?
Context
I am interested in extending to the ill-condionned regime the inversion of linear equations
arising from inverting differential equations which have been solved via 0-splines over a mesh ...
4
votes
4answers
138 views
How do I list start and endpoints of CantorMesh?
How do I extract start and endpoints of each defined interval of iteration n of CantorMesh[n]? The furthest I can go is
...
2
votes
1answer
104 views
Mathematica Won't Recognize a MeshRegion
I've implemented the code in the top answer of this question on the Plateau problem in differential geometry, and it works with the example shown in Example 1, so there is nothing wrong with the code. ...
2
votes
2answers
48 views
Replacing every shape in a geometric set with another shape
Consider a Mathematica function that produces some number of identical, but separate shapes; like CantorMesh[2, 2], for example.
Is there a simple way to "replace" ...
1
vote
1answer
30 views
How to Resize/Rescale a Mesh?
Consider, for example, the mesh given by
mesh = VoronoiMesh[RandomReal[10, {6, 2}]]
Imagine I want to resize it so that it is framed in the $[0,1]\times [0,1]$ ...
6
votes
2answers
94 views
How to group points based on mesh primitive membership
As a simple example of what I want to do, let's say I have a Voronoi mesh in a $10\times10$ area with $10$ random "seed points":
...
0
votes
0answers
33 views
Plotting non-square data array without interpolation
This is a related question to the one I posed a while ago at Non-square data array distorted when using InterpolationOrder->0 in ListDensityPlot
I am trying to plot XYZ data that does not ...
5
votes
1answer
64 views
Minimization problem and Voronoi Mesh
I have a random convex mesh $Q$, made of $n$ polygons, and I want to test how close it is to a Voronoi tessellation. In other words, I'm looking for generators (seeds) $\{(x_i,y_i)\}_{1\leq i\leq n}$.
...
1
vote
2answers
35 views
Selecting Shared Edges from a Mesh
Consider the following mesh
mesh0 = VoronoiMesh[RandomReal[1, {50, 2}]]
I can select interior polygons with
...
1
vote
0answers
42 views
How to implement meshing in DiscretePlot3D?
In this answer I show a method to use DiscretePlot3D to plot a numerical function which requires a discrete step-size to be plotted, making ...
11
votes
3answers
308 views
Why the mesh generated for NDSolve is different from the final plotted mesh?
When I try the following code to solve the Laplace's equation, the mesh generated by bmesh = ToElementMesh[bmesh] is different from the mesh shown in ...
4
votes
2answers
221 views
Closing a Graph
Consider the following graph g
I want to "close" it by adding the following edges
Alternatively, I would also be happy with something like
where I've added four "...
2
votes
1answer
45 views
Plotting space defined by implicit equations via pure functions (ContourPlot3d, RegionPlot3D, Graphics3D)
Is there a simple elegant way to plot any implicit curve or surface in 2D or 3D, given the input reg (list of intervals, i.e. cube) and ...
6
votes
1answer
76 views
Checking if a Graph forms a Mesh
Given a random graph, I want to define a function MeshGraphQ that tests if the graph is a lattice (or mesh) graph. Here, I don't need the tiling to be regular. ...
8
votes
2answers
561 views
How to visualize a spherical mesh on a squared plane?
I need to visualize the points of a spherical mesh on a squared plane (this question is different than this one, I believe). For instance, let us first generate points ...
4
votes
1answer
75 views
Why are those two mesh regions not the same?
In Mathematica, one can triangulate a mesh starting from a boundary mesh region. For example:
...
2
votes
2answers
100 views
An ImplicitRegion with a boundary which is an Interpolated Function is not a ConstantRegion
I create an ImplicitRegion from a box-shaped region with one face replaced by a function h[x,y]. If h[x,y] is a "normal" function, e.g.
...
0
votes
0answers
50 views
Triangle mesh (set of points 2D) with minmal total area: ' Convave Hull' [duplicate]
modified question
In the following example
...
4
votes
1answer
86 views
Reduce quality of an imported MeshRegion
Importing STL files using Import results in a MeshRegion composed by the triangulation of the original file, and a similar ...
2
votes
2answers
75 views
9
votes
1answer
100 views
How to calculate border length between adjacent Voronoi regions?
I have a set of Voronoi cells that I partition into some defined regions. I would like to then calculate the length of the "borders" between these adjacent regions, using the edges of the underlying ...
16
votes
1answer
547 views
Making a graph or network interactively over an image
Given an image, is it possible to manually draw a graph over it? For example, taking the following image:
I want to manually pick the vertices and draw the edges in a "Paint-like" manner to get, for ...
6
votes
1answer
107 views
Algorithms used for DelaunayMesh
Is it possible to find what algorithms are used for Delanunay triangulations?
4
votes
2answers
101 views
6
votes
1answer
131 views
Updating a graph under ODE dynamics (vertex model)
Consider the following graph, which is obtained from a VoronoiMesh
...
3
votes
1answer
75 views
Discretizing a (kinked) line and showing how the points were determined
Suppose I have a (kinked) line, for example
2-x==y && x< 1
3-2x == y && 1.5>=x>= 1
I want to take this kinked line and represent ...
0
votes
1answer
49 views
Manipulate MeshRegion as normal Mathematica expression
A MeshRegion seems to function quite differently from any other Mathematica expression. One cannot take a Part of it. Nor can I ...
5
votes
1answer
178 views
Where to get the detailed code of MMA for grid mesh
I know DelaunayMesh can triangulate the specified area, but I can't see the code and partition idea of this built-in function. I want to know how to get the source ...
asked Jan 23 at 4:13
Please Correct GrammarMistakes
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12
votes
2answers
570 views
A Smooth and Round Voronoi Mesh
I want the edges of a VoronoiMesh to be smooth and round. I have found the following code from this answer
...
4
votes
3answers
137 views
Cell-adjacency Graph of a Square Mesh
Consider the list of points
pts = {{1, 1}, {1, 2}, {2, 1}, {2, 2}}
I want to use them to define a 2x2 square mesh using ...
3
votes
2answers
163 views
Selecting Edges and Corners in a Mesh
Consider the following VoronoiMesh obtained after a few iterations of Lloyd's relaxation algorithm
...
1
vote
0answers
63 views
Converting .stl files to meshes for FEA
I'm trying to conduct finite element analysis on imported .stl models from SketchUp. I can't seem to generate an ElementMesh. I think it may be something to do with intersecting boundaries, and this ...
15
votes
3answers
594 views
VoronoiMesh as a TogglerBar
Is it possible to use a VoronoiMesh to define a TogglerBar or SetterBar type ...
10
votes
3answers
737 views
Creating a Hexagonal Lattice with VoronoiMesh
I want to create a hexagonal lattice using VoronoiMesh. One can achieve that with the following code, where L=5,
...
0
votes
0answers
45 views
How to perform adaptive mesh refinement on a 3D element consisting of 4 superimposed meshes on AceFem?
I'm trying to perform adaptive mesh refinement on a body that is composed of 4 separate meshes joined together. The body is composed of the following individual meshes:
...
7
votes
1answer
87 views
4
votes
1answer
65 views
Keep mesh of triangulation under complex valued transformation
I try to make a quick tool for "plotting" complex valued functions. Therefore I generate a Table of complex valued points lying in the complex plane building a ...
2
votes
1answer
65 views
11
votes
3answers
205 views
Inaccurate result from ImplicitRegion
I'm trying to describe the intersection of two cylinders by an ImplicitRegion (in order to use it in NDSolve later).
...
7
votes
2answers
116 views
Using mesh cell highlighting to override the default rendering of a region
The default rendering of a region can be rather uninformative. Consider this simple example.
DiscretizeRegion[Rectangle[{0, 0}, {2, 1}], MaxCellMeasure -> 2]
...
6
votes
1answer
147 views
Area of an Annulus (MeshTools<>NIntegrate)
In a very simple example I try to describe an annulus using MeshTools package
mesh2D = AnnulusMesh[{0, 0}, { 1 , 2 }, {-Pi, Pi}, {36, 10}];
The area given ...
10
votes
2answers
316 views
Generating Mesh of Rotated Graphics
I have a simple geometry that consists of a few rotated rectangles
...
10
votes
5answers
527 views
Grainy 2D RegionIntersection Plot: How can I make it smoother?
I have the following code to display three coloured disks and their coloured intersections. However, the result does not appear to have been anti-aliased enough. How can I make it smoother?
...
2
votes
2answers
66 views
Select Part of a boundary mesh
I would like to pick a part of a boundary mesh, for example
bm=BoundaryMesh[Cuboid[]]
Is it possible to select the part(side) ...
0
votes
1answer
64 views
8
votes
2answers
163 views
How to mesh a region with inclusions touching the boundary
Suppose you have a region composed of two materials. You define the inclusions of material 1 through, e.g., disks, ellipsoids, ...
