Questions tagged [visualization]

Data visualization is the study of the visual representation of data, meaning "information that has been abstracted in some schematic form, including attributes or variables for the units of information"

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How to label vertices on a mesh with user defined values?

I am trying to write a code to estimate geometric properties (i.e. Mean Curvature, Gaussian Curvature, Principle Curvatures) on a triangulated mesh. I would like to save the calculated data as a set ...
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Improving label collisions for Tree/Graph?

Historically, MMA has never handled label collisions well, but recently they added some improvements here via things like Callout. I want to fix ImageSize but still ...
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How to do a Sankey Diagram with multiple notes in Mathematica

I want to create a Sankey Diagram that looks like this: I read the post on How to Make a Sankey Diagram, but I can't seem to make the right adjustments to get the diagram I want. Is there a way to do ...
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Visualizing the Lagrange Multiplier Solution

This question is based on work in Susan Colley's Vector Calculus, 4th ed. The question is to find and classify critical points of $f(x,y,z)=3xy-4yz+5xz$ subject to the constraint $g(x,y,z)=3x+y+2z=13$...
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7 votes
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Implementations for common dimension reduction algorithms

I am working on a visualization manuscript that uses dimensional reduction with tSNE of a very large data set (227,573 points x 2,571 features). The reviewers would like figures comparing the tSNE ...
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Using NIntegrate and DiscretePlot to visualize pseudodifferential operators

In harmonic analysis, pseudodifferential operators are a way to generalize the notions of derivatives, through the use of Fourier transforms. The basic idea being, Let $u(x)\in\mathcal{S}(\mathbb{R}^...
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216 views

Visualising a 1-(50,15,15) design

The problem I have is the visualisation of a $1-(50,15,15)$ design. That is a set of $50$ points and $50$ blocks (lines), so that each point is on $15$ lines, and each line contains $15$ points. My ...
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5 votes
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78 views

Visualise sets giving some relations on those sets

I'm not very experienced with wolfram, but I'm searching for a function that can basicly do the following. Giving some sets $A,B,C$ and some relations for example $B \subset A$,$C\subset B$. I would ...
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204 views

Graph plotting: specify layers for layered drawing

Mathematica can do layered graph drawing with LayeredGraphPlot or GraphLayout -> "LayeredEmbedding". Is it possible to ...
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5 votes
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989 views

3D visualization of 4D object data

I have some paired data here {{x1,y1},...{x_n,y_n}} (Download link) which represents {frequency, amplitude} of a spatial object surface mesh. Its quite a lot of cells and data as you can see in the ...
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4 votes
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Label Arbitrary Edges as Axes for 3D Graphics

In any 3D plot in Mathematica, there are 12 edges that, theoretically, can be labeled as axes. We can use AxesEdge to label some combinations, but not any ...
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4 votes
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216 views

Plotting a hexagonal histogram

For positive integers $D$, I have a function s[D_] which creates a list of complex numbers, all of the form $a+b\sqrt{-D}$, where $a$ and $b$ are integers. These ...
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4 votes
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116 views

WordCloud Produces strange squares

I am trying to make a wordcloud from this txt file: https://ufile.io/dqhyd Source: How to delete certain words from a word cloud in mathematica? ...
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4 votes
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657 views

Is there a 3D version of ListStreamPlot[] (analogous to ListVectorPlot3D[])

Is there is straightforward way to visualize streamlines given a series of discrete samples of a 3D vector field? There is a generalization of ListVectorPlot --> <...
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4 votes
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EquationTrekker-like behavior for state space?

EquationTrekker is great for phase space plots, however I want to plot the results of $$\phi '(t)=-b \sin (\phi (t))+g \sin (\Phi (t)-\phi (t))+1\\\Phi '(t)=g y \...
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3 votes
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Visualising very large poset with thousands of vertices and edges

I wrote the following code for a large poset. It has over 5000 vertices and over 30000 edges. I used the form "Graph[{a <-> b, a <-> c, etc }, VertexCoordinates -> {a -> {0, 0}, ...
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3 votes
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Visualizing a curve "from the side"

I'm trying to animate the idea that values of $\sin x$ are concentrated around -1 and 1. Looking at the sine curve from the side, middle should be lighter than the edges. My first attempt doesn't ...
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3 votes
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57 views

Bug in Filling between ListPlots?

I am trying to plot three data sets with ListPlot and fill the space in between the curves and axis, as indicated in the examples below. But a very strange thing is ...
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Displaying many ROC-curves

I did a classification using Classify. I sampled 20 times. To calculate the mean accuracy, etc., is easy. But is there also a way to overlay the calculated ROC ...
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3 votes
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101 views

Possible to create a 3D GeoRegionValuePlot?

I can create a zip-code-based 2D GeoRegionValuePlot, as follows: ...
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3 votes
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170 views

Ideas for visualizing the shape of a random walk

Context: In the context of (3D) random walks or polymer chains, a useful quantity for capturing and characterizing the shape of the walk or the conformation of the polymer in space is the gyration ...
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3 votes
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644 views

How to plot the phase portrait for $4\times 4$ ODE system?

I wrote below the instructions in Mathematica because I wanted to see the phase portrait of systems of DE of $4\times 4$ dimension. But Mathematica cannot recognize the last 2 variables $y$ and $z$ ...
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3 votes
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255 views

Tree graph showing the orbits under the Collatz map?

ReverseCollatzPaths is a nice demonstration of a radial tree graph showing the orbits under the Collatz map. However, Jason Davies gives, I think, a nicer visulalization using Python, with a ...
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2 votes
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69 views

Data visualization in Mathematica (1000 x 1000 square)

I'm currently interested in looking at all the 6-digit numbers in base 10 (i.e. 000000 to 99999), and checking if they satisfy at least one of 5 equations: either 0=0+0+0+0+0, 0+0=0+0+0+0,..., 0+0+0+0+...
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125 views

Find the best place to overlay text on an image?

I need to put text over a background image to make a nice looking banner. In order to find the best place to put it, I'd like to know the "focus points" of the image (basically the centers ...
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2 votes
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58 views

Certain plotting functions are setting variables unwantedly

I came across the following problem. Certain plotting functions set variables to values, which I do not want. For example, if I run SliceVectorPlot3D with an ...
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2 votes
0 answers
63 views

JuliaSetPlot increase quality of output

For a complex dynamics class I take I want to generate a nice image of an Herman ring. I used this code to generate a first image: ...
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2 votes
0 answers
67 views

Where can you get by walking half a mile?

I recently saw that Mathematica 10 introduced really nice tools for geography. I would like to use GeoGraphics to visualize all possible paths with a length of half ...
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2 votes
0 answers
63 views

RegionIntersection not work, only outputs BooleanRegion Object

This is an example to make Pi in 3D dimension Thanks @xzczd for providing the fast version. Link Smoothing the Region? ...
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2 votes
0 answers
107 views

How to plot events in a weekly/daily view?

Are there any functions or resources to plot events in a calendar view like this? I'd like to use this with the google service: ...
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2 votes
0 answers
63 views

Set minimum edge separation for SpringElectricalEmbedding

I have a graph with nodes that themselves are images of graphs. When there are many nodes in the graph the nodes are placed too close to one another and so the images overlap, preventing the edges ...
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2 votes
0 answers
117 views

Visualizing Trained Filters

In the first convolutional layer of NetModel "Wolfram..." , the parameters of the filter are 64 (number of filters), and 112x112 (size). The last convolutional layer has 192 55x55 filters. What ...
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2 votes
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243 views

How can I rotate labels in a Dendrogram when using pre-clustered data?

I have some pre-clustered data that I want to visualize with Dendrogram. I am using Dendrogram purely for visualization in this ...
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2 votes
0 answers
285 views

How to draw a color square from a spectral distribution?

I need to draw a simple square filled with a flat uniform color, from a given spectral function. The color should simulate as close as possible what an human eye/brain would see, if the light ...
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  • 3,533
2 votes
0 answers
891 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 ...
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1 vote
0 answers
99 views

Plot image of complex function

I have a set $S$ and a complex function $f$. How can I use mathematica to visualise $f(S)$? Using ComplexPlot doesn't do what I want, the set in the picture doesn't change, only the colouring of it, ...
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1 vote
0 answers
46 views

Pie chart labels do not render properly

I am working on a project and this pie chart needs to have same-sized labels that emanate "radially" outward. There will be concentric charts outside this core with more information about ...
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1 vote
0 answers
66 views

Animated ContourPlot Color Rescaling

My goal is to create a smooth animation of a changing ContourPlot. Unfortunately, the colors specified in ContourShading seem to bounce around during the animation. Below is an example of what I'm ...
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1 vote
0 answers
35 views

How to add plot legends when combining `Plot` with `DiscretePlot`?

I often end up with discrete data + continuous approximation, and need to plot them in the same chart, with plot legends. What is a good pattern for doing this? Adding ...
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1 vote
0 answers
80 views

Plot an array of complex numbers

In version 12.0 Mathematica introduced a new function ComplexPlot. So how can I plot an array of complex numbers, with ...
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1 vote
0 answers
27 views

ColorFunction in ListContourPlot3D raising error when using more than one argument

The documentation of ColorFunction states that in ListContourPlot3D your chosen function gets the arguments ...
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1 vote
0 answers
59 views

Remove defect of display in ListDensityPlot3D

I have a 3D volumetric data (for example, $64\times 64\times 64$, at each point there is a value) read in from a file and I want to use ListDensityPlot3D to ...
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  • 367
1 vote
0 answers
42 views

Adjusting lighting in SliceContourPlot3D

The following plot is too dark on my screen, but lighting options available for ListPlot3D don't see to be available for ...
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1 vote
0 answers
30 views

How to include a meter in Manipulate that shows a value calculated from the manipulate dynamic variable?

I'm trying to make a visualization of grid (representing magnetic states) and I want to include a meter that shows a variable calculated from the manipulate index (of the form ...
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1 vote
0 answers
97 views

Positioning ViewPoint within a 3D Graphic (from ParametricPlot3D) Leads to Extraneous Panels in Output

I am animating the ViewVector (very similar to the ViewVector Documentation "Neat Example") to follow the curve in a 3D graphic created by the ParametricPlot3D function. This is, in principle, a very ...
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1 vote
0 answers
64 views

How to map 2D coordinates to a unique colour (i.e. 2D colormap)?

Colourmaps in Mathematica usually map a single value with a colour. Are there 2-dimensional colourmaps available where one can map 2d coordinates to a unique colour? (i.e. in a way that coordinates ...
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  • 195
1 vote
0 answers
553 views

Plot markers for ListPointPlot3D?

I suffer a little bit of color blindness, that is the reason why I always prefer to have plots with markers instead of different colors. For instance, I do not like the look of this: ...
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1 vote
0 answers
73 views

Can I make the z-axis on the SmoothHistogram3D output show quantity rather than probability?

In SmoothHistogram3D, the x- and y-axes are in the form of the original input; 0 maps to 0 and 1 maps to 1, etc. However, the z-axis returns a probability rather ...
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1 vote
0 answers
94 views

Export 3D plot with antialiasing

I'm trying to save the following plot to PNG with 4x antialiasing ...
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1 vote
0 answers
59 views

Showing truncated surfaces ; $\,$ Reading off projected 3D points by mouse pointing;

Two questions: Wish to remove parts of the surface outside the pie cutting planes and show the remaining truncated object/intersection edges without cutting planes. ...
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