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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43
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2answers
3k 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 ...
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 ...
18
votes
3answers
2k 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 ...
36
votes
5answers
3k 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 ...
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 ...
23
votes
5answers
4k views

Showing the correlation of two variables using a plot

I have a list of $\{x_i,y_i\}$ pairs and I want to show that $x_i$'s and $y_i$'s have positive correlation. The result of ...
12
votes
1answer
751 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 ...
14
votes
1answer
745 views

Labelling ArrayPlot Charts

I have been using ArrayPlot to show off some information. Currently, my datasets are like so: ...
13
votes
3answers
886 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:
11
votes
4answers
429 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 ...
16
votes
2answers
1k 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 ...
24
votes
4answers
708 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 ...
33
votes
3answers
1k 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 ...
11
votes
2answers
672 views

How to build a bvh player in Mathematica?

How to build a bvh player that can be used to visualize human motions in Mathematica? Any idea or sample code would be appreciated. ...
37
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 ...
33
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 ...
33
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 ...
39
votes
1answer
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 ...
21
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 ...
16
votes
2answers
850 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 ...
15
votes
2answers
1k 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
447 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 ...
7
votes
3answers
598 views

Hovering mouse cursor over a plot to display a “corresponding” point in another plot

(Apologies for not having gotten around to responding to and accepting answers on my other recent questions—as a meticulous and thorough type, I'd like to take my time to fully comprehend and ...
7
votes
1answer
296 views

How can I extend BinCounts to work on Times and Dates?

I want to extend BinCounts to work on a list of times or dates, binning them by Day, Week, Hour of the Month, Day of the Year, etc... So given a list of times and a time bin spec, I need to calculate ...
6
votes
3answers
151 views

Weird output of DistributionChart

I have a larger data set and want to display it using DistributionChart. ...
40
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 ...
20
votes
3answers
1k 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.
16
votes
3answers
802 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 ...
25
votes
7answers
914 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 ...
10
votes
3answers
434 views

Visualizing directories

How do I plot the content of a directory and all its subdirectories into infinity using TreeForm? I've tried using a mix of ...
16
votes
2answers
358 views

Visualization: elliptical insights into data sets…

I was recently reading the following paper on visualization techniques using ellipses to gain statistical insights. Elliptical visualization for looking at correlations has briefly been touched on ...
15
votes
0answers
421 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 ...
11
votes
1answer
343 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 ...
10
votes
1answer
629 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 ...
10
votes
0answers
1k 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 ...
31
votes
6answers
2k 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 ...
6
votes
1answer
430 views

Building a molecule viewer: aesthetic rotations

I am working on building a molecule viewer in Mathematica and am running in to problems with controlling rotation of the molecule (which is rendered as a ...
19
votes
5answers
698 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 ...
12
votes
3answers
473 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. ...
9
votes
2answers
317 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 ...
9
votes
3answers
441 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 ...
3
votes
2answers
264 views

How can I fill an entire Building with transparent points? [duplicate]

I am posting the same code found at an earlier question, although the concept here is totally different. The following code corresponds to a building-shaped structure. ...
10
votes
3answers
760 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 ...
6
votes
6answers
1k views

Image of first quadrant under $f(z)=(z+i)/(z-i)$

I'm able to plot the region where Im[z] > 0 and Re[z] > 0: ...
6
votes
2answers
245 views

Truncate TreeForm to show only the top

For some expressions, TreeForm may grow very long. I'm only interested in the top levels of the expression. How can I get the tree form of only the first levels an ...
6
votes
2answers
516 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 ...
3
votes
1answer
152 views

Plotting Uncertainty for a Sample of Functions

I am trying to produce a plot showing the variation in a sample of functions. It should look like this plot or that plot. I tried to use SmoothDensityHistogram. ...
3
votes
3answers
324 views

How can I fill a wire-frame structure with gas in a Graphics3D drawing?

I am very poor at visualization. I want to make a transparent "building" filled with gas. I wrote the following code for the building and it's fine. ...
2
votes
1answer
291 views

Visualizing a 2-dimensional PDF [duplicate]

I have empirical data that describes a 2-dimensional Probability Density Function and I want to visualize that data in a meaningful way using Mathematica. My first instinct is to use a 2D Heat map ...
1
vote
1answer
96 views

Extracting Imported Information

What I want to do is to compare the relationship between the consumption of say beer and wine using scatter plots where each point designates the particular country (preferably named). I have tried to ...