Questions tagged [mesh]

Questions on the use and creation of meshes including the use of MeshRegion, ElementMesh, and TetGenLink.

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2
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0answers
54 views

Removing polygons from exported RegionPlot

I have the following code that runs a RegionPlot ...
0
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1answer
63 views

How to find out the number of nodes in the interval of mesh [closed]

I have a mesh created for the femur. I need to apply a total load of 800 N in the range 480 < z < 500. To do this, I need to know the number of nodes in this interval in order to apply Force to ...
7
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2answers
480 views

How to add 'border' to Voronoi diagram

Suppose I have a set of points pts, from which I generate a Voronoi diagram VD: ...
3
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2answers
134 views

FEM 2D mesh with inclusion

I want to create a FEM mesh with an inclusion, but I want to define the coordinates of the edge nodes manually, since I need the nodes for a problem that requires periodic boundary conditions. The ...
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0answers
25 views

modify the elements numbers of a mesh file

I have loaded the mesh of simulation on Mathematica: geo = Import["geometry.vtk"]; The elements of geo are: ...
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0answers
53 views

How can I convert such a model into a BoundaryMeshRegion

The obj file is here As you see, I cannot import such a house model into Mathematica with BoundaryMeshRegion Option. Import[objFile, "BoundaryMeshRegion"] So my ...
1
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0answers
44 views

How to find intersection of higher dimensional convex hull?

I have often used ConvexHullMesh to obtain a convex hull for 2-d and 3-d points. But when I try to find it for 4-D points I encounter error even for simple cases. <...
1
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1answer
72 views

Represent a Concave Mesh Volume

I programmatically generate a shape, where the top surface is defined by a series of polygons. I generate all the points of the polygon. ...
3
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2answers
136 views

Finding mesh elements within a given region

I write a code that generates the following mesh. I would like to find out the elements that completely lie within a certain circular region inside this meshed area. How do I do that? The code that I ...
3
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1answer
57 views

Euler Characteristic of MengerMesh

When I ask Mathematica to give me the Euler characteristic of MengerMesh[1, 3], it returns 16. It seems to me the 1-step Menger sponge has genus 5 and should ...
0
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0answers
114 views

Projecting a 3D mesh region to 2D

How do I project a 3D MeshRegion to a 2D MeshRegion (or equivalent for a BoundaryMeshRegion). This question is similar to ...
5
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1answer
127 views

How to export a volume mesh?

Let's say that I generate a volume mesh using the following command: Icosahedron[] // BoundaryDiscretizeGraphics // TriangulateMesh which gives the following: As ...
0
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1answer
54 views

PlotLabels is not an option for RegionPlot3D

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0answers
29 views

NearestMeshCells in Mathematica 11.3

Is there an efficient way of writing a function equivalent to NearestMeshCells (Mathematica 12.1) in Mathematica 11.3? I'm trying to write my own code, which I can ...
6
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2answers
342 views

Shading Intersection Region

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8
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1answer
204 views

Generating a Periodic Voronoi Mesh

Consider the following hexagonal mesh, created from VoronoiMesh ...
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1answer
39 views
0
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0answers
44 views

Boxed Convex Hull

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0answers
33 views

Discretize a 1D Region (Boundary) into exactly N Points

I would like to obtain exactly N points of the boundary of a given (randomized) region, or at the very least, always the same number of boundary points for similar regions. Here is an example what I ...
2
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1answer
81 views

Change color of overlapping convex hull

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4
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1answer
116 views

Colour Change of a Convex Hull

I have the following code to draw a convex hull. ...
2
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1answer
74 views

How can I calculate volume of such a MeshRegion Object

The Data is here: meshData === PolygonData is here ...
5
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1answer
101 views

Assigning ElementMarkers to existing ElementMesh boundaries

I've imported a 2D element mesh from another program as a list of triangle coordinates {{x1,y1},{x2,y2}....} ("nodes") and element connections {{n1,n2,n3},...} ("elements"). Then I create an ...
3
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1answer
114 views

How to divide a region in FEM with a parametric curve?

I'm using NDSolve with finite element to try to solve a heat transfer problem. The region I have is a rectangle where the four vertices are at ...
1
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2answers
54 views

Different style for vertical and horizontal lines in ListStepPlot

I would like to color the horizontal portions (the data) of a ListStepPlot in one style (e.g., blue) and the vertical (linking lines) in a different style (e.g., ...
6
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1answer
107 views

FEM Simulation: Meshing two Arbitrary objects in an “air” mesh

Based on this excellent answer to my previous question: FEM: Electric Field between two arbitrary defined shapes I wanted to try out other shapes: ...
5
votes
2answers
161 views

Mesh on cross section of meshes / 2D Region on cross section of 3D Regions

Context This is fairly general and simple question, (probably because it has a simple solution?). I want to define a mesh (e.g. to be used with Plot3D or FEM or ...
5
votes
1answer
174 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
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1answer
50 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
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0answers
40 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 ...
7
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2answers
145 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
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4answers
160 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
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1answer
121 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
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2answers
58 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
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1answer
42 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
112 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
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0answers
53 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
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1answer
100 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
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2answers
54 views

Selecting Shared Edges from a Mesh

Consider the following mesh mesh0 = VoronoiMesh[RandomReal[1, {50, 2}]] I can select interior polygons with ...
1
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0answers
52 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
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3answers
347 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
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2answers
242 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
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1answer
53 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
95 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
631 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
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1answer
84 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
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2answers
117 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
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0answers
53 views

Triangle mesh (set of points 2D) with minmal total area: ' Convave Hull' [duplicate]

modified question In the following example ...
7
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3answers
218 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
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2answers
97 views

Scaling and Stretching a Mesh

I have a Voronoi mesh, given by ...

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