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"
34
votes
5answers
1k 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 ...
33
votes
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 ...
32
votes
3answers
810 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
0answers
733 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 ...
30
votes
4answers
820 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 ...
21
votes
3answers
449 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
7answers
569 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 ...
20
votes
6answers
695 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 ...
20
votes
1answer
397 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
322 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
3answers
555 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.
17
votes
3answers
708 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 ...
15
votes
5answers
501 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 ...
15
votes
6answers
1k 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 ...
15
votes
4answers
1k 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 ...
15
votes
2answers
350 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
3answers
461 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 ...
15
votes
1answer
368 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 ...
14
votes
2answers
636 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 ...
14
votes
2answers
298 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
414 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
275 views
Labelling ArrayPlot Charts
I have been using ArrayPlot to show off some information. Currently, my datasets are like so:
...
13
votes
1answer
290 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 ...
12
votes
2answers
426 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 ...
12
votes
2answers
290 views
+100
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 ...
11
votes
3answers
315 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
3answers
169 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
1answer
325 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
0answers
303 views
Strategies for Interfacing to web visualization libraries like Stanford's Data-Driven Documents (D3)?
There is a growing library of visualization tools being developed (eg on GitHub) - for Stanford's Data-Driven Documents. The implementation languages and standards are the usual W3C suspects: JS, ...
10
votes
3answers
419 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
170 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
2answers
795 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
1answer
173 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
0answers
220 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 ...
9
votes
2answers
264 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
2answers
212 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 ...
7
votes
4answers
202 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
259 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 ...
7
votes
1answer
218 views
How to implement hive plot for graphs in Mathematica?
I'm trying to implement a version of the hive plot advocated in [Kryzywinski, et al., 2012]. There are many examples of such graphs on the author's webpage.
It would be good enough for me to have ...
7
votes
1answer
271 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 ...
6
votes
2answers
361 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
163 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
272 views
How can I set the background color to the Popupmenu?
I want to set the Background color of a PopupMenu to blue. I already searched in the documentation center, but I didn't find any ...
6
votes
1answer
229 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 ...
5
votes
1answer
88 views
How to stop Manipulate changing view point
When using the following manipulate I can rotate the plot and manipulate the value without my view point changing;
...
5
votes
2answers
225 views
ListPointPlot3d to visualize points close to a manifold
I have a large set of points that are close to manifold which I want to show in a ListPointPlot3D. Using part of the data set illustrates this
there are fewer ...
4
votes
6answers
341 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:
...
4
votes
2answers
161 views
BarChart with BarOrigin->Left: axis on top
This question is somewhat related to this one.
Let's say this is the BarChart i want to make:
...
4
votes
1answer
279 views
How to start simulating physical problems?
I'm quite new to Mathematica, I have version 9. I need to use it to simulate some physical problems. I know the equations (like Maxwell's equations and Newton's laws and so on), but I have no real ...
4
votes
1answer
203 views
How can I avoid label collisions? [duplicate]
Possible Duplicate:
How can I influence the spaces between labels on a BarChart
How can I avoid label collisions in plot ticks and labels? For example, here is a histogram with colliding ...
