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0
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0answers
28 views

DelaunayTriangulation in Mathematica V 7.01.0 [duplicate]

I have a list of 2D point coordinates in the form of {...,{xi,yi},...} and want to make a triangular mesh for it. By using DelaunayTriangulate function in Mathematica V7, it gives me something that ...
3
votes
1answer
80 views

ArrayPlot copied to PDF shows blurred mesh

Certain (but not all) images displayed in ArrayPlot, and then copied to PDF, show what appear to be fuzzy mesh lines in white areas. An example is shown below. I ...
16
votes
4answers
1k views

How to get actual triangles from DelaunayTriangulation[]?

The ComputationalGeometry package has a DelaunayTriangulation[] function. It returns a list of points connected to each point, ...
10
votes
3answers
1k views

Create triangular mesh from random list of points

I have a list of points. I would like to take these points and create a mesh of triangles from them, making sure triangles don't overlap. So here's a list of points: ...
6
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2answers
2k views

Delaunay Triangulation for 3D Surface Data

I want to do a Delaunay triangulation on scattered 3D surface data. Mathematica itself does it only for 2D through the command DelaunayTriangulation[], which gives ...
2
votes
2answers
155 views

Rough mesh lines in partially opaque 3D plots

If I plot a surface with mesh lines, they show up fine (of course). However, if the surface is even just a little transparent, they get quite rough. Compare this to setting the Opacity to 1: ...
4
votes
1answer
112 views

How do I get a MeshRegion from an obj file, or from Geometry3D

How do I read in an obj file as a MeshRegion so I can e.g. compute its area? If I just import the object and try Area[O] it ...
3
votes
2answers
168 views

Different MeshStyle for different functions

By using Plot command I want to get one curve in form if circles and other like a solid line. ...
6
votes
0answers
108 views

Partial Differential Equation in Parallel

is there any native way to implement multi-core parallel solving of PDE in Wolfram Mathematica? WM 10 now supports Finite Elements Method, but it is actually useless without parallelization. Usually ...
3
votes
1answer
145 views

Add contour lines to Graphics3D

I am writing the following code: ...
2
votes
1answer
81 views

How does one get Mesh lines at 0 in ParametricPlot3D?

The following is in the documentation (MMA 10) under ParametricPlot3D -> Options -> Mesh : ...
1
vote
1answer
93 views

ListDensityPlot and ListPlot3D with big data [duplicate]

I have a large data set (512 x 512) and I have problems plotting it. ListPointPlot3D works fine But ListDensityPlot won't go through all the points (the same goes for ListPlot3D): Is there a way to ...
4
votes
1answer
196 views

Meshing the surface of a non-convex object

I would like to mesh the surface of a cloud of points that may not be completely convex, for example the points in this question. Mathematica does not provide triangulation of 3D points, but there is ...
6
votes
2answers
210 views

Mesh at Ticks positions

In a ListPlot3D[ ] I want to have the Mesh at the same positions as the ticks. For some reason this isn't default if both are ...
3
votes
1answer
174 views

Writing loops for triangle elements

I'm kind of new to using Mathematica, so any help is great. I'm trying to write a program that will create a list or matrix that will give each small triangle's point numbers. For example if given ...
2
votes
1answer
172 views

How to control the order of meshing?

I want the first pic,but i got the second. What can I do? Below if the code to produce the second pic: ...
6
votes
1answer
229 views

ListContourPlot3D doesn't use all points

Edited thanks to @Kuba: In the following example, ListContourPlot3D accepts an array of points spaced at intervals 0.1 apart throughout the volume, but seems to choose an arbitrary number of points ...
1
vote
1answer
195 views

Drawing a shape on the mesh of a Plot3D [duplicate]

My question pertains to modifying the output of a typical Plot3D object, and overlaying a 2D shape, like a circle, on the 3D surface. Thinking of the surface as a stretchy surface, I want to put the ...
10
votes
1answer
411 views

How do I place a texture on an irregular 3D model?

I'm trying to reproduce a textured head in Mathematica, and I'm using a kind of 'net' of a head which contains all the features on the face. The texture looks like this: which is supposed to look ...
10
votes
0answers
464 views

Using TetGen in Mathematica to get 3D Voronoi diagram

In this post, the use of TetGen for 3D Voronoi tesselation has been briefly discussed. However there is still no info about the use of TetGen to generate a 3D Voronoi diagram. The TetGen documentation ...
2
votes
2answers
442 views

How to generate 2D FEM mesh in Mathematica?

To generate 3D mesh TetGen can be easily used. Are there similar functions (or a way to use TetGen) to generate 2d mesh? I know that such functionality can be easily implemented but I would like to ...
7
votes
2answers
401 views

How can I draw a grid behind graphics without using Plot?

I want to a show simple vector summation but I don't know how to draw a grid behind the vectors. I am pretty sure I can do it with Mathematica but how? It should look like this:
3
votes
1answer
325 views

Explanation about RegionFunction and MeshFunctions?

In the link, ParametricPlot3D, consider the example(Variation on the Spheres) given in the Neat Examples section. Can someone please explain how ...
6
votes
2answers
321 views

How to show wireframes on imported Object / Mesh (.obj file)

I've managed to import a Wavefront (.obj) file and store it in a variable like so: ...
7
votes
3answers
242 views

Converting Mesh in Density Plots to a Graph

Consider the following line of code: ...
26
votes
3answers
2k views

Creating a 2D meshing algorithm in Mathematica

As what is proving to be a difficult, but entertaining task, I am attempting to adapt a 2D meshing algorithm created for MATLAB and port it to Mathematica. I understand meshing functions already exist ...
7
votes
2answers
466 views

Function Interpolation with Automatic / Algorithmic Values Mesh

I have an underlying function f(x,y,z) that is computationally intensive, but is smooth and continuous. I'm needing to find the function values along a line in xyz. Currently, I'm calculating f at ...
3
votes
1answer
127 views

Change position of mesh

I'm trying to plot a 3D graphic and I want to highlight the intersection between two graphics: a plane and a surface. I thought that Meshfunction->{#3&} was ...
7
votes
2answers
658 views

How can I mesh a solid cylinder with triangular or tetrahedral elements

I need to plot triangular mesh on a cylinder. However the function Cylinder doesn't have a mesh option. By using ...
1
vote
0answers
405 views

Doing local FFT on huge 3D vector data cell mesh and visualizing it spatially?

Simulation type: I'm running a simulation with the OOMMF micromagnetics package http://math.nist.gov/oommf/ where are magnet is represented by a mesh of 3 million cells, it gets excited by a ...
16
votes
3answers
925 views

Removing unwanted appearance of underlying mesh

Let us first define two positive definite matrices: M1 = {{2, -6}, {4, 8}}; M2 = {{2, 3}, {4, 8}}; then set two points ...
9
votes
3answers
689 views

Dashed mesh behind 3D object

I am trying to create a simple, almost transparent 3D sphere with a mesh that is made of solid lines if they are on the front surface (i.e. if they are directly visible) and of dashed lines if those ...
5
votes
3answers
738 views

Custom mesh in ListPlot3D

I have the following data: ...
6
votes
1answer
238 views

What algorithm does Plot use to determine abscissas?

(I'm hoping this question is not hopelessly naive...) My understanding is that Plot's strategy is to generate a list of abscissas, evaluate the argument expression ...
5
votes
2answers
519 views

Finding concave hull for separated small clusters

Data : data3D = Import[file, "VertexData"]; Graphics3D[Point[data3D]] How to find concave polygon for separated small clusters.
11
votes
2answers
1k views

Finding a Concave Hull

I have a 3d clustered data: Is there any other way to get concavehull of 3D data points?
16
votes
1answer
720 views

How can the {x,y,z} points that fall on the outer boundary of a set of values be selected and smoothly surfaced?

For a given set of x,y,z values, that may, or may not form a uniform shape, how can the center of the data cloud be found, and the surface points be located and a solid smooth surface created from ...
19
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3answers
745 views

Build a refined grid based on intersecting line

I honestly have no idea where to begin with this problem. In summary, I have a 2D coarse grid with an intersecting line. For an easy example, let's assume it's a 4x4 grid. I wish to pass through ...
6
votes
1answer
771 views

Construct a simple mesh or tetrahedral mesh from 3D image surface

I have a 3D Y-Shape hollow tube, not so good surface. Import["http://dl.dropbox.com/u/68983831/tube02.vtk", "Graphics3D"] I tried to use following vertex data ...