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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40
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2answers
2k views

How to show solid bodies using volumetric rendering?

Note: This question was asked when Mathematica 8 was latest release. Version 9 has built-in support for volume rendering through Image3D. There's an example on ...
36
votes
5answers
2k views

Creating ghost trail effects

Does anyone know how to create a ghost trail effect? For a simple example look at this screenshot: You can find the actual animation here. What I would ultimately like to see it happen is to make ...
36
votes
0answers
1k views

How to construct a treemap using non-rectangles?

I've written the standard version of a tree map (a graphic that shows nested data) and I'm looking to improve on this layout by switching to different types of polygons or perhaps circles. Can anyone ...
33
votes
3answers
1k views

Visualizing the difference between two sequences (strings)

I'm trying to develop a way of comparing two sequences (probably originally text, such as text writing or source code, possibly converted to lists). As a familiar example, consider the revisions ...
32
votes
4answers
2k views

How to visualize 3D fit

I have a data set of x,y,z values and I fit a function of x,y to the data. This works, but I can't come up with a nice way to ...
31
votes
6answers
1k views

How to plot contours in the faces of a cube

I'm trying to plot contours of a function f[x,y,z] on the faces of a cube as the example below, which represents the domain of this function. Is there a way to do ...
30
votes
3answers
812 views

Implementing hexagon binning in mathematica

Hexagon bin plots are a useful way of visualising large datasets of bivariate data. Here are a few examples: With bin frequency indicated by grey level... ..and by glyph size There are packages ...
26
votes
7answers
1k views

ColorData[“VisibleSpectrum”] is wrong?

I am trying to visualize the visible spectrum using the built-in ColorData["VisibleSpectrum"] function which "colors based on light wavelength in nanometers". But I ...
26
votes
5answers
3k views

How to plot Venn diagrams with Mathematica?

How does one plot Venn diagrams with Mathematica? I've searched quite a bit and I've found one source at MathWorld which provides the source code for doing them. But I don't understand this code, can ...
23
votes
7answers
819 views

Graphical representation of a moving sound source

Some explanation since I have got a specific and another more open-ended question: I used two microphones in a 90° arrangement (see picture below) to capture sound from a source moving around the room ...
21
votes
3answers
586 views

How can the opacity of a dense data set be automatically chosen?

The problem In a dense data set plotted with opaque points, data points can pile on top of each other. This can cause serious problems with the interpretation of the plots. I'll use as an example a ...
20
votes
1answer
487 views

How can we create Randolph diagrams in Mathematica?

I have become fascinated with Randolph Diagrams and was wondering how we would create the diagrams from logical sequences using Mathematica? It looks like it would be a combination of logic and ...
19
votes
3answers
877 views

How can I make a heatmap of a days in year?

I know Mathematica has a ListPlot for time series but does it have a function for visualizing a list of dates as a heat map like this: This idea is from D3, check it out here.
19
votes
3answers
391 views

How can I regroup elements in a list into a tree based on their values?

I have a list of elements in an outline, here is an example that is only 3 levels deep: ...
18
votes
5answers
632 views

How to visualize the voting choices in the moderator elections?

I'm trying to use Mathematica to create some visual representations of the votes cast in the recent Mathematica-StackExchange moderator elections. (Not the vote-counting system itself, OpenSTV, but ...
18
votes
6answers
3k views

Using ListPointPlot3D to simulate 2D plots moving in time

I wrote a 1D solver for the heat equation $u_t=u_{xx}$, and I can animate the solution using normal ListPlot command, where the x-axis is the rod length, and the ...
18
votes
3answers
1k views

Visualizing a Complex Vector Field near Poles

I've been playing around with a visualization technique for complex functions where one views the function $f: \mathbb{C} \rightarrow \mathbb{C}$ as the vector field $f: \mathbb{R^2} \rightarrow ...
17
votes
4answers
2k views

Spherical density plot of data set

I have a somewhat large number of 3-dimensional unit vectors ( ~ 100 000 unit vectors), and I am trying to visualize their distribution. First thing I tried was ...
16
votes
2answers
857 views

Weather Maps with Mathematica

I've been trying to set up a weather map with Mathematica similar to what NOAA publishes in their website. So far I've been successful to bring the data over and extend it across the whole picture ...
16
votes
2answers
671 views

How can I draw a 3D cross-section of a 3-torus embedded in 4D Euclidean space?

I have a $3$-torus ($\mathbf S^1\times\mathbf S^1\times \mathbf S^1$) embedded in 4D Euclidean space. How can I draw the cross-section of this $3$-torus cut by a 3D Euclidean space in an arbitrary ...
16
votes
3answers
709 views

3D view of a route shown on a map

You should have already seen such a thing, specially in documentaries about ancient life: the movement of a tribe is shown on an ancient map along a route with a dashed arrow. I want to do the same ...
16
votes
2answers
1k views

What is the best way to create a correlation matrix heatmap with values?

This may have been asked somewhere else, but I couldn't find an answer by searching. I'm trying to create a correlation table that colors the background behind the numbers as a heatmap. I've been ...
16
votes
2answers
858 views

Higher order periodic interpolation (curve fitting)

I have a list of points in 3D, and I want to get a smooth interpolation or curve fit (it is more for illustration) of these points such that the first and second derivatives at the start and end ...
16
votes
1answer
485 views

Mouse motion heat map - live visualization and analysis

Mouse motion heat map is an great way to study spatial attention distribution, styles of movement, reaction, etc. I am trying to design a code that visualizes such heat map. The requirements: 1) It ...
15
votes
2answers
988 views

Visualizing vector spherical harmonics

I have painstakingly derived the vector-spherical harmonics $\mathbf{V}_{J,\,M}^\ell(\theta, \phi)$, which are the generalization of ordinary spherical harmonics $Y_\ell^m(\theta, \phi)$ to vector ...
15
votes
1answer
406 views

Gravatars/identicons with Mathematica

The default avatar/identicon is based on an MD5 hash of your e-mail address. With some e-mail providers (e.g., GMail) the address gmailuser+foo@gmail.com is still ...
14
votes
2answers
395 views

How can I generate a legend for a BubbleChart?

Is there a way to make a nice disk radius legend (with linear or log scale) for a BubbleChart[]? Something like the following example should be built in!
14
votes
2answers
596 views

How can I create facetted histograms?

I love Mathematica, and I would love to be able to use it for all of my data analysis tasks, but there is one type of analysis which I find almost trivial in R, and I have no idea how to approach in ...
14
votes
1answer
530 views

Labelling ArrayPlot Charts

I have been using ArrayPlot to show off some information. Currently, my datasets are like so: ...
13
votes
3answers
600 views

Is it possible to position ticklabels on the negative y axis on its right side?

Is it possible to position ticklabels on negative $y$ axis on its right side? Ticklabels on positive $y$ axis should remain as usual:
13
votes
0answers
340 views

How can I trace a functional expression's evaluation visually?

Ok, so the goal is to visualize the execution of this expression foo /@ {3 + 1, bar /@ {1 + 2, {4 + 7}}} in the following fashion using nested rectangles with ...
12
votes
3answers
288 views

Representing a Stencil of a Finite Difference Operator with Mathematica's Graphics3D

I have the following finite difference operator: $$ Lu_{ijk}:= du_{ijk} +c(u_{i-1,j,k} + u_{i+1,j,k} + u_{i,j-1,k} + u_{i,j+1,k} + u_{i,j,k-1} + u_{i,j,k+1})\\ -u_{i-1,j+1,k}-u_{i-1,j-1,k} - ...
11
votes
3answers
391 views

WaveletScalogram in polar coordinates

For given dataset data = Re[Zeta[1/2 + I Range[0, 100, 0.01]]]; It is nice that Mathematica can plot data in both Cartesian and Polar coordinates. ...
11
votes
1answer
288 views

Dynamic visualization of Graph[] on a webpage

How can we embed a dynamic version of a Graph object on a web page, similar to the one showcased on the networkx home page? This sort of dynamic visualization can ...
11
votes
1answer
538 views

Plotting graphics as ASCII plots

I'm occasionally in a situation where I have to use Mathematica on the terminal. I'd like to visualize the solutions I get from NDSolve, but when I use ...
11
votes
2answers
2k views

Plotting vectors originating from the origin in 3D

I have an array of data with 3D elements. Ex: x = {{1,2,3}, {3,4,5}, {5,6,7}}. I want to show this data in 3 dimensions, such that each point in the space is shown ...
10
votes
3answers
606 views

One-dimensional heatmap

I want to plot a heatmap of a set of real points of the interval [0,1] - i.e., to display their linear density in the sense of a smoothed histogram. The idea I have come up so far is to use the ...
10
votes
1answer
242 views

Camera Troubles in Mathematica

I'm trying to animate a torus being cut by a plane, so that as the plane enters the torus the part in front of the plane disappears (the idea is to show the cross section). That much I can do, but I ...
10
votes
1answer
454 views

Roads network visualization by thickness and color intensity by population from GIS files

We can have road networks of the countries in GIS shape file.For exmple from here. Normally traffic flows are proportionate to populations of the cities. I wonder how we can have the same in ...
9
votes
2answers
306 views

Visualizing several long lists of numerical information to see relative frequency

Mathematica has very powerful visualization techniques. However, I'm at a loss at how to best make the following chart readable. ...
8
votes
3answers
866 views

Which ColorFunction should I use to get such a gradient of blue-cyan-green-yellow-orange-red?

I want to get the effect in the above Figure. Here is my code: ...
8
votes
2answers
892 views

Dynamic graph visualisation using JLink/Java and GraphStream

Visualising the addition of new nodes and edges to a graph to 'watch it grow' is to something Mathematica is not suited to by default. However this type of animation really helps convey the emergence ...
8
votes
2answers
287 views

Transition between graphs

I want to visually demonstrate the manipulations made to a graph. For instance, I have a graph g where using the command ...
8
votes
1answer
709 views

FeynRules vs FeynCalc (or anything else?)

I was looking for a Mathematica package that can take Lagrangians and calculate Feynman diagrams for any given n-point function. (..like if a software can draw and calculate arbitrary loop corrections ...
8
votes
0answers
426 views

How to visualize Riemann surfaces?

In WolframAlpha we can easily visualize Riemann surfaces of arbitrary functions, can we plot the Riemann surface of an arbitrary function using Mathematica and ...
7
votes
4answers
312 views

How to remove ticks?

I wanted to remove the Ticks in my coding but i can't. Here when i try to remove the Ticks the number also gone. I need numbers ...
7
votes
1answer
301 views

Anyone recognize this heatmap? [closed]

Anyone know the origins of the attached heatmap/daylight overlay? I see it on the Mathematica homepage all the time and I even saw it once on Wolfram|Alpha launch video. I know there are ways to ...
6
votes
3answers
260 views

Fill circle layers with colors according to read values from a plotted curve

I want to read (temperature) values from plotted (cooling) curves and visualize them in layered circles. I have an example made manually for clarification: 3 plotted curves, at certain time steps ...
6
votes
2answers
464 views

How can I visualize features found in an image?

I am using Mathematica to explore the face detection feature of Core Image on Mac OS X Lion. To do this I have an Objective-C program which captures images from the iSight camera, runs face detection ...
6
votes
2answers
311 views

How to visualize the interior of a complicated 3d plot

I have an external data file (can be downloaded here: link 1 or link 2) which contains a dense grid of initial condition in the (x,y,z) space. I read it with Mathematica and plot these initial ...