# Questions tagged [discretization]

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### Discretisation of region intersection in 3D

If I try to discretise the intersection (BoundaryDiscretizeRegion), of a shell in a cuboid, some of the regions (that are found with RegionIntersection) are lost in the discretising process. I tried ...
73 views

### Errors from NDSolve [closed]

I'm trying to solve a system of PDEs with periodic boundary conditions using NDSolve. This works if I don't specify an initial condition (but is uninteresting, ...
43 views

### Is there a way to automatically use triangular elements in ToElementMesh [closed]

I have some simple code to generate a mesh over a rectangle. ...
46 views

### Discretize Graphics3D with Scale and Rotate?

How can I discretize a Graphics3D object that makes use of Scale and Rotate? When I try <...
79 views

### (Updated) How do I fix a Discretization error?

I am attempting to model a cross section problem from Calculus II using the general slicing method. Below is the working code to generate the "slices" of the defined problem; however, I would like to ...
218 views

### Generating a grid such that the elements in each row add up to one

I'd like to generate a grid such that each element is a dimension $d$ vector ($\vec v$) of non negative components that add up to one. I could use the approach in this post and then choose among the ...
69 views

### Perpendicular chord lengths from the boundary points of an arbitary 2D shape

Let's generate an arbitrary convex domain with smooth boundaries: Graphics[BSplineCurve[{{1, 4}, {5, 3}, {9, 4}, {5, 5}, {8, 7}}, SplineClosed -> True]] I'...
112 views

### Randomly distributed circles inside an annulus

With the following code: ...
55 views

### Creating Voronoi Mesh Region Bounded by Convex Hull (Possible problem with DiscretizeGraphics)

I want to create a MeshRegion that is VoronoiMesh bounded by the associated ConvexHullMesh. I followed the procedure in the answer for this post, but the resulting MeshRegion is very wrong. This is ...
47 views

### How to get a “smoother” curve for a “discrete”-type curve?

A very interesting problem from here. I got the algebra in less than a minute with all 6 solutions (integers). But was puzzled a bit that the graph only gives 4. As now I have waken up and tried it ...
187 views

### DiscretizeRegion was unable to discretize the region ImplicitRegion

I'm trying to model a 3D die with ImplicitRegion[] in order to find out its center of mass. However, when I apply ...
128 views

### Converting 3D graphics primitives to 3D image data

My goal is to produce a 3D dataset, from a scene of simple transformed shapes. The idea is that this data serves as a ground truth for some tomographic reconstruction problems. (For this, it is ...
590 views

### How to Discretize a Tube

In Is there a way to outline text?, I was amazed that BoundaryDiscretizeGraphics can discretize a Text primitive. So in a ...
186 views

### using a custom method to discretize functions with 3 variables to be used in NDSolve

I was using the pdetoode function that @xzczd made: Dynamic Euler–Bernoulli beam equation But it only works for functions with 2 variables, I was wondering if it ...
91 views

### DiscretizeGraphics on a RegionDifference not returning a MeshRegion

I want to take region difference of a sub-mesh of a Delaunay Mesh and a discretized ImplicitRegion. However, Mathematica does not recognize the return as a MeshRegion. Moreover, Discretizing the ...
156 views

### Problem with ToBoundaryMesh

Bug introduced in 11.1.0 and fixed in 11.2.0 I have a problem that occurs in ToBoundaryMesh in Mathematica version 11.1, whereas in 11.0 it worked fine. I defined <...
77 views

### Unexpected DiscretizeGraphics behaviour

One way to generate an annulus is by using ChartElementData: ...
169 views

### Collision between a point and a square

Suppose we have a point of time laws: xP[t_] := 0.40 + 0.51 t; yP[t_] := 0.41 + 0.42 t; and a square with side: L := 2.01 ...
144 views

### RegionPlot of DiscretizeRegion of ImplicitRegion

Writing: A = ImplicitRegion[Max[Abs[x - 1 + 2 y], Abs[y - 1 - 2 x]] == 1, {x, y}]; RegionPlot[DiscretizeRegion[A]] I get: while writing: ...
37 views

### Loops and guesses

I have to solve a system of equations in the following way: I first guess a value for a variable, let's call it y, calculate another variable ...
239 views

### How to discretize parametric curves for FEM analysis

I would like to know if there is anything available in order to discretize a 3D curve given by parametric equations in order to apply FEM analysis, e.g. to solve the wave equation on a thin wire ...
207 views

### A simple way to discretize a linear region

I have a few hundred linear regions of dimensions 0, 1, 2 and 3 embedded in $R^3$ that I need to discretise. DiscretizeRegion does a good job with most of them, but ...
232 views

### Discretize chart in a given interval

Using the following code: plot = Plot[Sin[x], {x, -Pi, Pi}]; points = Cases[plot // Normal, Line[{x__}] -> x, Infinity]; ListPlot[points] I get: Question: Is ...
91 views

### Discretize a Graphics3D object over a given 3D lattice

Is there a way to discretize a Graphics3D object using a regular lattice with a given lattice spacing. For example: ...
98 views

### Unexpected behavior of DiscretizeGraphics

As this code,we can visualize the "Test text" Graphics[Text[Style["Test text",20],{0,0}],Axes->True,AxesOrigin->{0,0}] I try to use ...
175 views

### How to get a larger triangle when we discretize a sphere?

In order to solve this problem,I want to get larger triangles (Of course less amount). But I don't know how to do this. I have tried MaxCellMeasure and ...
205 views

### Traverse “curve” on a grid from a given cell

I've got a binary grid which is mostly zero but contains a bunch of 1-cell wide lines (e.g. obtained from a ridge extraction). You can obtain an example input from the following line: ...
365 views

### Why is DiscretizeGraphics missing points on my curve?

I have a graphics expression which renders nicely as a closed curve when put in Graphics, I don't understand why I can't get the lines from DiscretizeGraphics or ...
284 views

### How to generate grid points on boundary of $[-1,1]^d$ for arbitrary dimension $d$ and specified resolution?

This must be a trivial thing, but I was not able to find a function for it in Mathematica. How do you efficiently create a grid with constant but specific resolution $r$ in all directions on the ...
81 views

### Problems with sampling

Let $t\ge 0$ and let $f_{s}(t)$ be the sampled version of $f(t)$. If $$f(t)=\begin{cases}\int_{0}^{t}\exp\left(-\frac{1}{1-s^{2}}\right)\,ds,&|s|<1, \\ 0,&\text{otherwise}.\end{cases}$$ I ...
133 views

### Issue with discretizing two arbitrary regions

Description This is in relation to this question. I am trying to derive this conical figure yet I seem to get an error with this code. I would be happy if someone could point out how to solve this ...
201 views

### Beginner Simulating Gaussian Process with Correlation

I have no little experience with algorithms. I would like to learn how to simulate a real valued Gaussian process with correlation (e.g., exponentially correlated $\Gamma(t)=e^{-\vert t \vert/2}).$ ...
132 views

### DiscretizeRegion fails for a triangular region

Bug introduced in 10.2.0 or earlier and fixed in 11.0.0 I define an implicit region like ...
353 views

### How to apply DiscretizeGraphics to a tube? [duplicate]

I want to export the numerical solution of the Chan-Lee oscillator as an STL file so that I could print it out. But when I expanded the curve into a tube, ...
1k views

### Finding NonlinearModelFit of multiple data sets with the same parameters and in two dimensions

I have multiple sets of data (between 3 and 6 depending on the cases) dependent of space, time, and some parameters. The data are the response of a harmonic oscillator under a non-trigonometrical ...
111 views

### How to turn a Graphics primitive into a list of data?

I tried something small first, to get a feeling about this. So I defined a Rectangle[], placed it in a corner of ...